Organizing Committee
 Marc Culler
University of Illinois at Chicago  Ben Elias
University of Oregon  John Etnyre
Georgia Institute of Technology  Benson Farb
University of Chicago  Juan GonzálezMeneses
Universidad de Sevilla  Matthew Hedden
Michigan State University  Keiko Kawamuro
University of Iowa  Anthony Licata
Australian National University  Joan Licata
Australian National University
Abstract
Braid groups were introduced by Emil Artin almost a century ago. Since then, braid groups, mapping class groups, and their generalizations have come to occupy a significant place in parts of both pure and applied mathematics. In the last 15 years, fields with an interest in braids have independently undergone rapid development; these fields include representation theory, lowdimensional topology, complex and symplectic geometry, and geometric group theory. Braid and mapping class groups are prominent players in current mathematics not only because these groups are rich objects of study in their own right, but also because they provide organizing structures for a variety of different areas. For example, in modern representation theory, important equivalences of categories are organized into 2representations of braid groups, and these same 2representations appear prominently in parts of geometry and mathematical physics concerned with mirror dualities; in lowdimensional topology, manifolds are presented and related to each other via braids and mapping classes.
Computational applications and questions about braid groups have also emerged in disparate mathematical contexts; in some cases, these coalesce around the same computational problem. For example, developing fast machinebased calculations of link homology invariants is a goal shared by representation theorists, lowdimensional topologists, symplectic and algebraic geometers, and string theorists. The proposed semester program aims to bring together researchers working in diverse areas through the common thread of their interaction with braid and mapping class groups. The overarching goals of the program are to establish and clarify the key questions driving each field, and to improve each group’s understanding of the tools, techniques, and perspectives of the others.
Confirmed Speakers & Participants
Talks will be presented virtually or inperson as indicated in the schedule below.
 Speaker
 Poster Presenter
 Attendee
 Virtual Attendee

Leonard Afeke
University of TorontoFeb 1418, 2022

Antonio Alfieri
Université du Québec à Montréal (CRM)Feb 1Apr 30, 2022

akram alishahi
University of GeorgiaApr 2529, 2022

Byung Hee An
Kyungpook National UniversityMar 2125, 2022

Hanine Awada
laboratory of mathematics Jean LerayApr 2529, 2022

Shaoyun Bai
Princeton UniversityMar 2125, 2022

Kenneth Baker
University of MiamiApr 2529, 2022

Rhea Palak Bakshi
Institute for Theoretical Studies, ETH ZurichApr 2529, 2022

John Baldwin
Boston CollegeJan 31May 6, 2022

Ishan Banerjee
University of ChicagoMar 2125, 2022

Asilata Bapat
The Australian National UniversityJan 31May 6, 2022

Dror BarNatan
University of TorontoApr 1723, 2022

Giacomo Bascape
UQAMApr 2529, 2022

Karina Batistelli
Universidad de ChileFeb 1319, 2022

Inanc Baykur
University of Massachusetts AmherstMar 2026, 2022; Apr 2430, 2022

Anna Beliakova
Universität ZürichFeb 818, 2022; Apr 2430, 2022

Paolo Bellingeri
University of Caen NormandyApr 2430, 2022

Fraser Binns
Boston CollegeApr 2529, 2022

Sarah Blackwell
University of GeorgiaApr 2529, 2022

Benjamin Bode
Consejo Superior de Investigaciones CientíficasMar 2125, 2022

Hans Boden
McMaster UniversityApr 2529, 2022

Rachael Boyd
University of CambridgeFeb 1418, 2022; Mar 20May 1, 2022

Tara Brendle
University of GlasgowFeb 26Apr 15, 2022

Vinicius Canto Costa
Stony Brook UniversityApr 2529, 2022

Fabio CapovillaSearle
Purdue UniversityApr 2529, 2022

Michele CapovillaSearle
University of IowaApr 2529, 2022

Orsola CapovillaSearle
University of California, DavisMar 14May 6, 2022

Carmen Caprau
California State University, FresnoFeb 1418, 2022

Jacob Caudell
Boston CollegeFeb 7May 6, 2022

Yoonseok Chae
UC DavisApr 2529, 2022

Melody Chan
Brown UniversityFeb 1418, 2022; Mar 2125, 2022

Ruth Charney
Brandeis UniversityJan 31Apr 27, 2022

Rima Chatterjee
University of CologneJan 31May 1, 2022

Weiyan Chen
Tsinghua UniversityMar 2125, 2022

Lei Chen
University of Maryland, College ParkJan 24May 10, 2022

Wenzhao Chen
The university of British ColumbiaApr 2529, 2022

Dorin Cheptea
Institute of Mathematics of the Romanian Academy, RomaniaMar 2125, 2022

Sally Collins
Georgia Institute of TechnologyApr 2529, 2022

Anthony Conway
MITApr 2529, 2022

Marc Culler
University of Illinois at ChicagoJan 31May 6, 2022

María Cumplido Cabello
University of SevilleFeb 4Apr 28, 2022

Xinle Dai
Harvard UniversityMar 2125, 2022; Apr 2529, 2022

Irving Dai
Stanford UniversityApr 2529, 2022

Celeste Damiani
Queen Mary University of LondonApr 2529, 2022

Alex Davies
DeepMindApr 2122, 2022

Anand Deopurkar
Australian National UniversityJan 30May 8, 2022

Soumya Dey
Chennai Mathematical InstituteFeb 1418, 2022; Mar 2125, 2022

Adrian Diaconu
University of MinnesotaMar 2125, 2022

Riya Dogra
(Recent Master's Graduate)Feb 1418, 2022

Brandy Doleshal
Sam Houston State UniversityApr 2430, 2022

Ivan Dynnikov
Steklov Mathematical InstituteApr 2430, 2022

Ben Elias
University of OregonFeb 1319, 2022; Mar 1723, 2022

Jordan Ellenberg
University of WisconsinMar 2125, 2022

John Etnyre
Georgia Institute of TechnologyMar 918, 2022; Apr 2030, 2022

Benson Farb
University of ChicagoMar 2026, 2022; Mar 2124, 2022

Peter Feller
ETH ZurichFeb 118, 2022; Apr 1830, 2022

Viktória Földvári
Alfréd Rényi Institute of MathematicsApr 2529, 2022

Chris Fraser
Michigan State UniversityMar 2125, 2022

Terry Fuller
California State University, NorthridgeApr 2529, 2022

Antony (Tsz Hin) Fung
Boston CollegeApr 2529, 2022

Agnes Gadbled
Paris Saclay UniversityMar 2125, 2022

Nir Gadish
The University of MichiganFeb 1419, 2022

Honghao Gao
Michigan State UniversityMar 2125, 2022; Apr 2529, 2022

Jacob Garcia
University of California, RiversideFeb 1418, 2022; Apr 2529, 2022

Louise Gassot
Laboratoire de Mathématiques d'Orsay  Université ParisSaclaySep 1, 2021Mar 4, 2022

Sudipta Ghosh
Louisiana State UniversityApr 2529, 2022

Rosa Gini
Agenzia regionale di sanita della ToscanaApr 2122, 2022

Thomas Gobet
Université de ToursFeb 525, 2022

Marco Golla
Laboratoire des mathématiques Jean LerayMar 2125, 2022; Apr 1629, 2022

Nicolle Gonzalez
UCLAFeb 1319, 2022

Juan GonzálezMeneses
Universidad de SevillaFeb 4Apr 30, 2022

Eugene Gorsky
UC DavisFeb 1319, 2022; Mar 2125, 2022; Apr 2529, 2022

Joshua Greene
Boston CollegeApr 2629, 2022

Julia Grigsby
Boston CollegeApr 2030, 2022

Iva Halacheva
Northeastern UniversityFeb 1418, 2022; Apr 2529, 2022

Shelly Harvey
Rice UniversityApr 2529, 2022

Kyle Hayden
Columbia UniversityMar 2026, 2022; Apr 2430, 2022

Matthew Hedden
Michigan State UniversityFeb 13Mar 12, 2022; Apr 18May 6, 2022

Edmund Heng
The Australian National UniversityFeb 1May 6, 2022

Matt Hogancamp
Northeastern UniversityFeb 1May 6, 2022

Peng Hui How
UChicagoMar 2125, 2022

Diana Hubbard
Brooklyn CollegeApr 2529, 2022

Mark Hughes
Brigham Young UniversityApr 2030, 2022

James Hughes
University of California, DavisMar 2125, 2022; Apr 2529, 2022

Peter Huxford
University of ChicagoMar 2125, 2022

Dionne Ibarra
George Washington UniversityApr 2529, 2022

Mee Seong Im
United States Naval AcademyFeb 1419, 2022; Mar 2125, 2022; Apr 2529, 2022

Tetsuya Ito
Kyoto UniversityApr 2430, 2022

Michał Jabłonowski
Uniwersytet GdańskiApr 2529, 2022

Kasia Jankiewicz
University of California Santa CruzFeb 1418, 2022

Jonathan Johnson
Oklahoma State UniversityJan 31May 7, 2022

Peter Johnson
University of VirginiaApr 2529, 2022

András Juhász
University of OxfordApr 2122, 2022

Şeyma Karadereli
Boğaziçi UniversityMar 2125, 2022

Keiko Kawamuro
University of IowaApr 1130, 2022

Ailsa Keating
University of CambridgeMar 2125, 2022

Marc Kegel
HumboldtUniversität zu BerlinFeb 12May 1, 2022

Willi Kepplinger
University of ViennaJan 31May 7, 2022

Nguyen Khanh
Institut Camille JordanFeb 1418, 2022

Mikhail Khovanov
Columbia UniversityFeb 1319, 2022

Oscar Kivinen
EPFLFeb 1418, 2022; Mar 2125, 2022

Ben Knudsen
Northeastern UniversityFeb 1418, 2022

Sudipta Kolay
ICERMSep 1, 2021May 31, 2022; Mar 2125, 2022; Apr 2529, 2022

Kenji Kozai
Southern Connecticut State UniversityApr 2529, 2022

Siddhi Krishna
Columbia UniversityJan 31May 6, 2022

Jonathan Kujawa
University of OklahomaFeb 1418, 2022

Miriam Kuzbary
Georgia Institute of TechnologyJan 31May 6, 2022

Thomas Lam
University of MichiganFeb 1418, 2022

Aaron Lauda
University of Southern CaliforniaFeb 1319, 2022

Seraphina Eun Bi Lee
University of ChicagoMar 2125, 2022

Caitlin Leverson
Bard CollegeApr 2529, 2022

Tudur Lewis
University of GlasgowApr 2529, 2022

Wenyuan Li
Northwestern UniversityMar 2125, 2022

Cailan Li
Columbia UniversityFeb 1418, 2022

Tao Li
Boston CollegeMar 2, 2022

Anatoly Libgober
University of Illinois at ChicagoFeb 1318, 2022; Mar 2023, 2022

Anthony Licata
Australian National UniversityJan 31May 7, 2022

Joan Licata
Australian National UniversityJan 31May 7, 2022

(Jessica) Chengjin Liu
University of TorontoApr 2529, 2022

Michael Lönne
University BayreuthMar 2026, 2022

Eduard Looijenga
Mathematisch Instituut Universiteit UtrechtMar 2125, 2022

Trent Lucas
Brown UniversityMar 2125, 2022

xinchun ma
UChicagoMar 2125, 2022

Alex Manchester
Rice UniversityApr 2529, 2022

Elizabeth Manosalva
Universidad de TalcaFeb 1319, 2022

Carlos Andres Marcelo Serván
The University of ChicagoMar 2125, 2022

Marco Marengon
Alfréd Rényi Institute of MathematicsApr 2529, 2022

Dan Margalit
Georgia Institute of TechnologyMar 2125, 2022

Thomas Mark
University of VirginiaMar 2125, 2022; Apr 2529, 2022

Maciej Markiewicz
Uniwersity of WarsawApr 2529, 2022

Gage Martin
Boston CollegeApr 2529, 2022

Alvaro Martinez
Columbia UniversityFeb 1418, 2022

Gordana Matic
University of GeorgiaMar 2125, 2022; Apr 2529, 2022

Jon McCammond
UC Santa BarbaraFeb 1418, 2022

Maggie Miller
Stanford UniversityApr 2430, 2022

Hyunki Min
mitApr 2529, 2022

Jie Min
Max Planck Institute for MathematicsMar 2125, 2022

Sayantika Mondal
Graduate school and university center, CUNYApr 2529, 2022

Allison Moore
Virginia Commonwealth UniversityApr 2529, 2022

Francesco Morabito
École PolytechniqueMar 2125, 2022; Apr 2529, 2022

Rose MorrisWright
UCLAMar 2125, 2022

Calder MortonFerguson
MITFeb 1319, 2022

Caroline Namanya
University of GlasgowMar 2026, 2022

Neha Nanda
Indian Institute of Science Education and Research BhopalApr 2529, 2022

Seyed Ali Naseri Sadr
Boston CollegeApr 2529, 2022

Patrick Naylor
Princeton UniversityApr 2529, 2022

Shaheen Nazir
Lahore University of Management SciencesApr 2529, 2022

Joanna Nelson
Rice UniversityApr 2529, 2022

Lenny Ng
Duke UniversityApr 2430, 2022

Kie Seng Nge
Australia National UniversityFeb 1418, 2022; Mar 2125, 2022; Apr 2529, 2022

Meshach Nldovu
Botswana International University of Science and TechnologyFeb 1418, 2022

Alexei Oblomkov
UMASS AmherstFeb 1319, 2022; Mar 2125, 2022

Sinem Onaran
Hacettepe UniversityApr 2430, 2022

Brendan Owens
University of GlasgowFeb 26Apr 15, 2022

Burak Ozbagci
Koc UniversityMar 2125, 2022; Apr 2529, 2022

Roberto Pagaria
Alma Mater Studiorum Università di BolognaFeb 1319, 2022

Martin PalmerAnghel
Mathematical Institute of the Romanian Academy, BucharestApr 2529, 2022

Yu Pan
Tianjin UniversityMar 2125, 2022

Tushar Pandey
Texas A&M UniversityApr 2529, 2022

Luis Paris
University of BurgundyFeb 1319, 2022

Maurizio Parton
University of ChietiPescaraApr 2122, 2022

Ina Petkova
Dartmouth CollegeFeb 1May 6, 2022

Lisa Piccirillo
University of TexasApr 2529, 2022

Juanita PinzonCaicedo
University of Notre DameApr 2529, 2022

Olga Plamenevskaya
Stony Brook UniversityMar 2026, 2022

Sarah Pritchard
Georgia Institute of TechnologyApr 2529, 2022

Jozef Przytycki
George Washington UniversityFeb 6May 6, 2022

You Qi
University of VirginiaFeb 1319, 2022

Hoel Queffelec
CNRSFeb 1319, 2022

HITESH RAUNDAL
Indian Institute of Science Education and Research, Mohali, IndiaFeb 1418, 2022; Mar 2125, 2022; Apr 2529, 2022

Braeden Reinoso
Boston CollegeMar 2125, 2022; Apr 2529, 2022

Lee Rudolph
Clark UniversityApr 2529, 2022

Nur Saglam
University of California  RiversideApr 2529, 2022

Sumeyra Sakalli
University of ArkansasApr 2529, 2022

Nick Salter
University of Notre DameMar 2026, 2022

Pablo Sanchez Ocal
University of California, Los AngelesFeb 1319, 2022

Nancy Scherich
University of TorontoSep 1, 2021May 31, 2022

Saul Schleimer
University of WarwickMar 30, 2022

Paul Seidel
MITMar 2026, 2022

Alex Semendinger
Brandeis UniversityFeb 1418, 2022; Mar 2125, 2022

Anastassiya Semenova
ICERM, Brown UniversitySep 1, 2021May 31, 2022

Tanushree Shah
Glasgow UniversityApr 2529, 2022

Linhui Shen
Michigan State UniversityApr 2529, 2022

Marithania Silvero
Universidad de SevillaFeb 4May 1, 2022

Jose Simental Rodriguez
MaxPlanck Institute for MathematicsFeb 1319, 2022

Rahul Singh
Virginia Polytechnic Institute and State UniversityFeb 1May 6, 2022

Steven Sivek
Imperial College LondonApr 2430, 2022

Ivan Smith
University of CambridgeMar 2026, 2022

Patricia Sorya
Université du Québec à MontréalApr 2529, 2022

Arthur Soulié
University of GlasgowFeb 1418, 2022; Mar 2125, 2022

Shraddha Srivastava
Uppsala UniversityFeb 1418, 2022

Laura Starkston
UC DavisMar 2125, 2022; Apr 2529, 2022

Eric Stenhede
University of ViennaJan 31May 7, 2022

Jill Stifano
Brandeis UniversityFeb 1418, 2022; Mar 2125, 2022

Alexandru Suciu
Northeastern UniversityMar 2026, 2022

Haoyu Sun
University of Texas, AustinFeb 1418, 2022; Mar 2125, 2022

Isaac Sundberg
Bryn Mawr CollegeApr 2529, 2022

Joshua Sussan
CUNYFeb 1319, 2022; Apr 2529, 2022

Tom Sutherland
University of ViennaFeb 1418, 2022

Frank Swenton
Middlebury CollegeApr 8, 2022

Shuai Tan
Australian National UniversityApr 2529, 2022

Tina Torkaman
Harvard UniversityMar 2125, 2022

Bulent Tosun
University of AlabamaMar 2125, 2022; Apr 2630, 2022

Lev TovstopyatNelip
Michigan State UniversityApr 2529, 2022

Lisa Traynor
Bryn Mawr CollegeApr 2430, 2022

MinhTam Trinh
MITMar 2125, 2022

Samuel Tripp
Dartmouth CollegeApr 2529, 2022

Paula Truöl
ETH ZurichApr 1729, 2022

Linh Truong
University of MichiganApr 2529, 2022

Bena Tshishiku
Brown UniversityJan 31May 6, 2022

Anastasiia Tsvietkova
RutgersNewark/IASApr 2529, 2022

Hannah Turner
Georgia Institute of TechnologyFeb 1May 7, 2022; Mar 2125, 2022; Apr 2529, 2022

Jeremy Van HornMorris
University of ArkansasMar 2125, 2022; Apr 2430, 2022

Monica Vazirani
UC DavisFeb 1418, 2022

Yvon Verberne
Georgia Institute of TechnologyJan 31May 7, 2022; Mar 2125, 2022; Apr 2529, 2022

Vera Vertesi
University of ViennaFeb 20Mar 18, 2022; Apr 21May 6, 2022

Isabel Vogt
Brown UniversityApr 6, 2022

Laura Wakelin
Imperial College LondonApr 2529, 2022

Shunyu Wan
University of virginiaApr 2529, 2022

Andy Wand
University of GlasgowApr 2430, 2022

Yi Wang
University of PennsylvaniaApr 2529, 2022

Luya Wang
UC BerkeleyMar 2125, 2022

Arthur Wang
University of Massachusetts, AmherstFeb 1319, 2022; Mar 2125, 2022

Morgan Weiler
Cornell UniversityApr 2529, 2022

Michael Wemyss
University of GlasgowMar 2026, 2022

Daping Weng
University of California, DavisApr 2529, 2022

Craig Westerland
University of MinnesotaMar 2026, 2022

Jennifer Wilson
University of MichiganFeb 1319, 2022

Becca Winarski
MSRI/College of the Holy CrossMar 2026, 2022

Jesse Wolfson
University of California, IrvineMar 2026, 2022

C.M. Michael Wong
Dartmouth CollegeMar 2026, 2022; Apr 2529, 2022

Biji Wong
Max Planck Institute for MathematicsJan 31May 7, 2022

Haihan Wu
UC DavisFeb 1418, 2022

Angela Wu
Louisiana State UniversityMar 14May 6, 2022

Oded Yacobi
University of SydneyFeb 1418, 2022; Mar 1324, 2022

Jiajun Yan
University of VirginiaJan 31May 6, 2022

Jiaqi Yang
ICERMSep 1, 2021May 31, 2022

Fan Ye
Peking UniversityApr 2529, 2022

Kevin Yeh
Boston CollegeApr 2529, 2022

Max Zahoransky von Worlik
Technische Universität BerlinApr 2529, 2022

Melissa Zhang
University of GeorgiaMar 2125, 2022

Kejia Zhu
University of Illinois at ChicagoApr 2529, 2022
Visit dates listed on the participant list may be tentative and subject to change without notice.
Semester Schedule
Tuesday, February 1, 2022
Braids

9:00 am  4:00 pm ESTCheck In11th Floor Collaborative Space

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

4:00  4:30 pm ESTInformal Welcome TeaCoffee Break  11th Floor Collaborative Space
Wednesday, February 2, 2022
Braids

9:30  10:00 am ESTICERM Director and Organizer WelcomeWelcome  11th Floor Lecture Hall

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Thursday, February 3, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Friday, February 4, 2022
Braids

9:30  10:30 am ESTDirector and Organizer MeetingMeeting  11th Floor Conference Room

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Monday, February 7, 2022
Braids

11:00  11:45 am ESTLightning IntroductionsLightning Talks  11th Floor Lecture Hall
Abstract
1 minute introductions for all "Braid" semester program attendees

1:00  2:00 pm ESTDirector/Grad Student/Postdoc MeetingMeeting  11th Floor Lecture Hall

3:00  4:30 pm ESTWelcome ReceptionReception  11th Floor Collaborative Space
Tuesday, February 8, 2022
Braids

9:30  9:40 am ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Lei Chen, University of Maryland, College Park

9:40  9:50 am ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 María Cumplido Cabello, University of Seville

9:50  10:00 am ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Hannah Turner, Georgia Institute of Technology

10:00  10:10 am ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Jonathan Johnson, Oklahoma State University

10:10  10:20 am ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Virtual Speaker
 Angela Wu, Louisiana State University

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

2:00  2:10 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Virtual Speaker
 Orsola CapovillaSearle, University of California, Davis

2:10  2:20 pm EST

2:20  2:30 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Miriam Kuzbary, Georgia Institute of Technology

2:30  2:40 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Virtual Speaker
 Marc Kegel, HumboldtUniversität zu Berlin

2:40  2:50 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Siddhi Krishna, Columbia University

2:50  3:00 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Rima Chatterjee, University of Cologne

3:00  3:10 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Nancy Scherich, University of Toronto

3:10  3:20 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Yvon Verberne, Georgia Institute of Technology

3:20  3:30 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Biji Wong, Max Planck Institute for Mathematics

3:30  3:35 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Jiajun Yan, University of Virginia

3:35  3:40 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Willi Kepplinger, University of Vienna

3:40  3:45 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Eric Stenhede, University of Vienna

3:45  3:50 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Virtual Speaker
 Edmund Heng, The Australian National University

3:50  4:00 pm ESTGrad Student/Postdoc IntrosLightning Talks  11th Floor Lecture Hall
 Marithania Silvero Casanova, Universidad de Sevilla

4:00  4:30 pm ESTCoffee Break11th Floor Collaborative Space
Wednesday, February 9, 2022
Braids

2:00  3:00 pm ESTColloquium Braids are everywhere (in lowdimensional topology)Seminar  11th Floor Lecture Hall
 Peter Feller, ETH Zurich

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Thursday, February 10, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

1:00  2:30 pm ESTPrep talks for the workshop, "Braids in Representation Theory and Algebraic Combinatorics"  Artin Groups and normal formsTutorial  10th Floor Classroom
 Juan GonzálezMeneses, Universidad de Sevilla

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Friday, February 11, 2022
Braids

1:00  2:30 pm ESTPrep talks for the workshop, "Braids in Representation Theory and Algebraic Combinatorics"  The braid group and categorificationTutorial  10th Floor Classroom
 Anthony Licata, Australian National University

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Monday, February 14, 2022

8:50  9:00 am ESTWelcome11th Floor Lecture Hall
 Brendan Hassett, ICERM/Brown University

9:00  9:45 am ESTHigher structure and symmetry in KhovanovRozansky homology11th Floor Lecture Hall
 Speaker
 Matt Hogancamp, Northeastern University
 Session Chair
 Anthony Licata, Australian National University
Abstract
In this talk I will show how one constructs the action of a certain commutative dg algebra on the KhovanovRozansky complex of a link. The central application is a proof of the "mirror symmetry" property of triply graded KhovanovRozansky homology of a knot, originally conjectured in 2005 by DunfieldGukovRasmussen. This was proven first by OblomovRozansky using their geometric link homology, but I will discuss an independent proof developed in joint work with Gorsky and Mellit.

10:00  10:30 am ESTCoffee Break11th Floor Collaborative Space

10:30  11:15 am ESTA skein theoretic CarlssonMellit algebra11th Floor Lecture Hall
 Speaker
 Nicolle Gonzalez, UCLA
 Session Chair
 Anthony Licata, Australian National University
Abstract
The shuffle theorem gives a combinatorial formula for the Frobenius character of the space of diagonal harmonics in terms of certain symmetric functions indexed by Dyck paths. In their proof, Carlsson and Mellit introduce a new interesting algebra denoted $A_{q,t}$. This algebra arises as an extension of the affine Hecke algebra by certain raising and lowering operators and acts on the space of symmetric functions via certain complicated plethystic operators. Afterwards Carlsson, Mellit, and Gorsky showed this algebra and its representation could be realized using parabolic flag Hilbert schemes and in addition to containing the generators of the elliptic Hall algebra. In this talk I will discuss joint work with Matt Hogancamp where we construct skein theoretic formulations of the representations of $A_{q,t}$ that arise in the proofs of the shuffle theorems and how this framework enables difficult computations to become simple diagrammatic manipulations as well as sheds light on potential applications to combinatorics and link homology.

11:30 am  12:15 pm ESTVery positive braids are parity braids?11th Floor Lecture Hall
 Speaker
 Alexei Oblomkov, UMASS Amherst
 Session Chair
 Anthony Licata, Australian National University
Abstract
Based on joint work with Lev Rozansky. A braid is a parity braid if KhovanovRozansky homology of the closure of the braid has only odd or only even homological grading. It is expected that algebraic braids are parity, but probably there are more. It also seems to be natural to conjecture that after twisting by a very large power of the full twist any braid becomes parity. In our work we computed homology of the closure of composition of a quasiCoxeter braid and a JucysMurphy braids. For these braids the answer to question in the title is yes.

12:30  2:30 pm ESTLunch/Free Time

2:30  3:15 pm ESTA categorification of colored Jones polynomial at prime roots of unity11th Floor Lecture Hall
 Speaker
 You Qi, University of Virginia
 Session Chair
 María Cumplido Cabello, University of Seville
Abstract
We propose a categorification of the colored Jones polynomial evaluated at a 2pth root of unity by equipping a pdifferential discovered by Cautis on the triply graded KhovanovRozansky homology.

3:30  4:00 pm ESTCoffee Break11th Floor Collaborative Space

4:00  4:45 pm ESTBraids: Classical, Virtual and Welded, Oh my!11th Floor Lecture Hall
 Speaker
 Nancy Scherich, University of Toronto
 Session Chair
 María Cumplido Cabello, University of Seville
Abstract
We will discuss the difference between the classical, virtual, and welded braid groups from an algebraic and topological perspective. We will discuss techniques to extend representations of classical braid groups to the virtual and welded settings.

5:00  6:30 pm ESTReception11th Floor Collaborative Space
Tuesday, February 15, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

9:00  9:45 am ESTVirtual Artin groups11th Floor Lecture Hall
 Virtual Speaker
 Luis Paris, University of Burgundy
 Session Chair
 You Qi, University of Virginia
Abstract
This talk concerns a joint work with Paolo Bellingeri and AnneLaure Thiel. Starting from the observation that the standard presentation of a virtual braid group mixes the presentations of the corresponding braid group and the corresponding symmetric group together with the action of the symmetric group on its root system, we define a virtual Artin group ${\rm VA}[\Gamma]$ with a presentation that mixes the standard presentations of the Artin group $A[\Gamma]$ and of the Coxeter group $W[\Gamma]$ together with the action of $W[\Gamma]$ on its root system. By definition we have two epimorphisms $\pi_K:{\rm VA}[\Gamma]\to W[\Gamma]$ and $\pi_P:{\rm VA}[\Gamma]\to W[\Gamma]$ whose kernels are denoted by ${\rm KVA}[\Gamma]$ and ${\rm PVA}[\Gamma]$, respectively. In this talk we will focus on ${\rm KVA}[\Gamma]$. We will show that this group is an Artin group whose standard generating set is in onetoone correspondence with the root system of $W[\Gamma]$. Afterwards, we use this presentation to show that the center of ${\rm VA}[\Gamma]$ is always trivial, and to show that ${\rm VA}[\Gamma]$ has a solvable word problem and finite virtual cohomological dimension when $\Gamma$ is of spherical type or of affine type.

10:00  10:30 am ESTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EST2braid groups and positivity phenomenons in Hecke and TemperleyLieb algebras11th Floor Lecture Hall
 Speaker
 Thomas Gobet, Université de Tours
 Session Chair
 You Qi, University of Virginia
Abstract
There is a wellknown homomorphism from Artin's braid group to (the group of invertible elements of the) IwahoriHecke algebra of the symmetric group, or more generally from any ArtinTits group to the corresponding Hecke algebra. Consider the positive lifts of the elements of the Coxeter group in the ArtinTits group. Then their images in the Hecke algebra yield the socalled standard basis of the Hecke algebra. Elements of the standard basis have a positive expansion in one of Kazhdan and Lusztig's canonical bases, i.e., have coefficients which are Laurent polynomials with nonnegative coefficients.
In the case where the Coxeter group is finite, the positive lifts of the elements of the Coxeter group in the ArtinTits group are the socalled simple elements of the classical Garside structure. An alternative Garside structure, called dual Garside structure, was introduced for spherical type ArtinTits groups. One can wonder if the images of these elements in the Hecke algebra still have a positive KL expansion or not. This is especially interesting in type A, as simple dual braids yield a basis of the TemperleyLieb quotient of the Hecke algebra.
We will explain how positivity of images of simple dual braids can be obtained in spherical type using a generalization of Kazhdan and Lusztig's inverse positivity, which predicts that certain elements of ArtinTits groups, which we call ""Mikado braids"", have a positive KazhdanLustig expansion, together with the fact that simple dual braids are Mikado braids. The positivity of the KL expansion of Mikado braids, shown for finite Weyl groups by Dyer and Lehrer, can be generalized to arbitrary Coxeter systems by adapting a result of Elias and Williamson on the perversity of minimal Rouquier complexes of positive simple braids to a ""twisted"" setting as introduced by Dyer, and asks the question of determining which braids have a minimal braid complex which is perverse. 
11:30 am  12:15 pm ESTHow to know if a parabolic subgroup of an Artin group merges conjugacy classes11th Floor Lecture Hall
 Speaker
 María Cumplido Cabello, University of Seville
 Session Chair
 You Qi, University of Virginia
Abstract
Artin (or ArtinTits) groups are generalizations of braid groups that are defined using a finite set of generators $S$ and relations $abab\cdots=baba\cdots$, where both words of the equality have the same length. Although this definition is quite simple, there are very few results known for Artin groups in general. Classic problems as the word problem or the conjugacy problem are still open. In this talk, we study a problem concerning a family of subgroups of Artin groups: parabolic subgroups. These subgroups have proven to be useful when studying Artin groups for example, they are used to build interesting simplicial complexes, but again, we do not know much about them in general. Our problem will be the following: Given two conjugate elements of a parabolic subgroup $P$ of an Artin group $A$, are they conjugate via an element of $P$? This is called the conjugacy stability problem. In 2014, GonzálezMeneses proved that this is always true for braids, that is, geometric embedding of braids do not merge conjugacy classes. In an article with Calvez and Cisneros de la Cruz, we gave a classification for spherical Artin groups an proved that the answer to the question is not always affirmative. In this talk, we will explain how to give an algorithm to solve this problem for every Artin group satisfying three properties that are conjectured to be always true.

12:30  2:30 pm ESTLunch/Free Time

2:30  3:15 pm ESTFrom Artin monoids to Artin groups11th Floor Lecture Hall
 Speaker
 Ruth Charney, Brandeis University
 Session Chair
 Matt Hogancamp, Northeastern University
Abstract
Braid groups belong to a broad class of groups known as Artin groups, which are defined by presentations of a particular form. These groups fall into two classes, finitetype and infintetype Artin groups. The former come equipped with a powerful combinatorial structure, known as a Garside structure, while the latter are much less understood and present many challenges. However, if one restricts to the Artin monoid, a submonoid of the Artin group, then some aspects of Garside theory still apply in the infinitetype case. I will talk about joint work with Rachael Boyd and Rose MorrisWright on geometric relations between Artin monoids and Artin groups.

3:30  4:00 pm ESTCoffee Break11th Floor Collaborative Space

4:00  4:45 pm ESTDual Braids and the Braid Arrangement11th Floor Lecture Hall
 Virtual Speaker
 Jon McCammond, UC Santa Barbara
 Session Chair
 Matt Hogancamp, Northeastern University
Abstract
The braid groups have two well known Garside presentations. The elegant minimal standard presentation is closely related to the Salvetti complex, a cell complex derived from the complement of the complexification of the real braid arrangement. The dual presentation, introduced by Birman, Ko and Lee, leads to a second Garside structure and a second classifying space, but it has been less clear how the dual braid complex is related to the (quotient of the) complexified hyperplane complement, other than abstractly knowing that they are homotopy equivalent. In this talk, I will discuss recent progress on this issue. Following a suggestion by Daan Krammer, Michael Dougherty and I have been able to embed the dual braid complex into the complement of the complex braid arrangement. This leads in turn to a whole host of interesting complexes, combinatorics, and connections to other parts of the field. This is joint work with Michael Dougherty.
Wednesday, February 16, 2022

9:30  10:15 am ESTDerived super equivalences from odd categorified quantum groups11th Floor Lecture Hall
 Speaker
 Aaron Lauda, University of Southern California
 Session Chair
 Hoel Queffelec, CNRS
Abstract
Since the pioneering work of Chuang and Rouquier, the construction of highly nontrivial derived equivalences has been one of the most powerful tools resulting from higher representation theory. CautisKamnitzerLicata showed these derived equivalences arising from categorified quantum groups gave rise to categorical actions of braid groups of the corresponding Lie type with ChuangRouquier's equivalences corresponding to the elementary braid generators. In 2011, motivated by the discovery of odd Khovanov homology, EllisKhovanovLauda proposed a new `odd' categorification of sl2. At the same time, this `odd sl2' was independently discovered by KangKashiwaraTsuchioka who were investigating super categorifications of KacMoody algebras. In this talk we will explain joint work with Mark Ebert and Laurent Vera giving new super analogs of the derived equivalences studied by Chuang and Rouquier coming from the odd categorification of sl2. Just as Chuang and Rouquier used their equivalences to achieve new results on the modular representation theory of the symmetric group, we will discuss how our new super equivalences can be applied to the spin symmetric group.

10:00  10:30 am ESTCoffee Break11th Floor Collaborative Space

11:00  11:45 am ESTThe combinatorics and geometry of HarderNarasimhan filtrations11th Floor Lecture Hall
 Speaker
 Anand Deopurkar, Australian National University
 Session Chair
 Hoel Queffelec, CNRS
Abstract
How does an object of a triangulated category evolve under repeated applications of an autoequivalence? I will describe how this amorphous question can be made precise using a Bridgeland stability condition. For 2CY categories associated to A_n quivers, I will describe how this investigation turns out to be a categorified version of wellstudied notions in combinatorial geometry.

12:00  12:10 pm ESTGroup Photo (Immediately After Talk)11th Floor Lecture Hall

12:10  2:00 pm ESTLunch/Free Time

2:00  3:00 pm ESTLightning Talks11th Floor Lecture Hall
 Speakers
 Edmund Heng, The Australian National University
 Marc Kegel, HumboldtUniversität zu Berlin
 Calder MortonFerguson, MIT
 Marithania Silvero Casanova, Universidad de Sevilla
 Session Chair
 Ben Elias, University of Oregon
Abstract
Categorifying Burau Representations and Fusion Categories
Edmund Heng, The Australian National University
In this talk, we will look at a categorification of the Burau representations for the nonsimplylaced type braid groups, generalising a construction given by KhovanovHuefarno and RouquierZimmermann. This will involve building certain algebra objects in the fusion categories associated to the quantum group sl2.
Census Lspace knots are braid positive, except for one that is not
Marc Kegel, HumboldtUniversität zu Berlin
I will explain and prove the statement in the title. This is based on joint work with Ken Baker.
KazhdanLaumon Categories and the Symplectic Fourier Transform
Calder MortonFerguson, MIT
In 1988, Kazhdan and Laumon defined a “glued category” of perverse sheaves on the basic affine space. The key ingredient in their construction was the symplectic Fourier transform, which gives an action of the braid group on the category of perverse sheaves. They proposed a new construction of representations of Chevalley groups using this category, but this proposed construction depended on a conjecture which was later shown to be false. In this talk, we will discuss the action of the symplectic Fourier transform as a representation of the braid group. We will then discuss progress toward reworking KazhdanLaumon’s construction in the context of braids.
A hooking conjecture on circle graphs motivated by Khovanov homology
Marithania Silvero Casanova, Universidad de Sevilla
We present a conjecture stating that the independence complex of any circle graph is homotopy equivalent to a wedge of spheres. This conjecture is motivated by the fact that extreme Khovanov homology of a link diagram $D$ coincides with the cohomology of the independence complex associated to its Lando graph (Lando graphs are bipartite circle graphs). We also give some advances on the proof of this conjecture; in particular, we prove it for permutation graphs, nonnested graphs, and graphs associated to closed braids with less than 5 strands. 
3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space

3:30  4:15 pm ESTBraid groups and permutations of the KazhdanLusztig basis11th Floor Lecture Hall
 Virtual Speaker
 Oded Yacobi, University of Sydney
 Session Chair
 Mee Seong Im, United States Naval Academy
Abstract
Let \lambda be a partition of n. We consider the KazhdanLusztig basis of the corresponding Specht module, which is indexed by standard Young tableau of shape \lambda. One of the amazing features of this basis is that it can be used to relate representation theoretic properties of Specht modules to combinatorial properties of tableau. For example, in the 90s BeresteinZelevinsky and Stembridge showed that the long element of the symmetric group acts on the KazhdanLusztig basis by the Schutzenberger involution on tableau. Similarly, in 2010 Rhoades showed that the long cycle (1,2,...,n) acts by the jeu de taquin promotion operator when \lambda is rectangular. In this talk we will explain how to use braid groups acting on triangulated categories to generalize Rhoades' result in three directions: we lift the condition on the shape of the partition, we greatly enlarge the class of permutations for which the result holds, and we prove analogs in other Lie types. This is based on joint work with Martin Gossow.
Thursday, February 17, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

9:00  9:45 am ESTNonsemisimple Hermitian TQFTs11th Floor Lecture Hall
 Speaker
 Joshua Sussan, CUNY
 Session Chair
 Mikhail Khovanov, Columbia University
Abstract
Topological quantum field theories coming from semisimple categories build upon interesting structures in representation theory and have important applications in low dimensional topology and physics. The construction of nonsemisimple TQFTs is more recent and they shed new light on questions that seem to be inaccessible using their semisimple relatives. In order to have potential applications to physics, these nonsemisimple categories and TQFTs should possess Hermitian structures. We will define these structures and give some applications.

10:00  10:30 am ESTCoffee Break11th Floor Collaborative Space

10:30  11:15 am ESTBraid varieties and positroid varieties11th Floor Lecture Hall
 Virtual Speaker
 Jose Simental Rodriguez, MaxPlanck Institute for Mathematics
 Session Chair
 Mikhail Khovanov, Columbia University
Abstract
Associated to a positive braid, we define an affine algebraic variety via an explicit set of polynomial equations. I will give properties of these varieties, including their dimension, smoothness properties and a realization as a moduli space of chains of flags. I will also explain how some classical varieties in Lie theory, such as positroid and more generally Richardson varieties, appear in this way, as well as a connection to the computation of the KhovanovRozansky homology of the link obtained by closing the braid. This is joint work with Roger Casals, Eugene Gorsky and Mikhail Gorsky.

11:30 am  12:15 pm ESTBraid varieties11th Floor Lecture Hall
 Speaker
 Eugene Gorsky, UC Davis
 Session Chair
 Mikhail Khovanov, Columbia University
Abstract
In the talk I will define braid varieties, a class of affine algebraic varieties associated to positive braids. I will discuss their relation to Richardson and positroid varieties, HOMFLY polynomial and HOMFLY homology, and Legendrian link invariants. This is a joint work with Roger Casals, Mikhail Gorsky and Jose Simental Rodriguez.

12:30  2:30 pm ESTLunch/Free Time

2:30  3:15 pm ESTBraid groups and representation stability11th Floor Lecture Hall
 Virtual Speaker
 Jennifer Wilson, University of Michigan
 Session Chair
 Thomas Gobet, Université de Tours
Abstract
In 1970, Arnold proved that the homology groups of the braid groups on n strands stabilizes as n tends to infinity, a phenomenon called "homological stability". The pure braid groups, in contrast, are not homologically stable. In this (partly expository) talk I will describe a sense in which (co)homology groups of the pure braid groups do stabilize when we take into account the natural symmetric group actions. We will use tools from "representation stability" to shed light on the structure of the (co)homology of the pure braid groups, and many of their generalizations. This talk will survey work of Church, Ellenberg, and Farb, and joint work with Miller.

3:30  4:00 pm ESTCoffee Break
Friday, February 18, 2022

9:00  9:45 am ESTKhovanovSeidel braid representation and geometric group theory11th Floor Lecture Hall
 Speaker
 Hoel Queffelec, CNRS
 Session Chair
 Juan GonzálezMeneses, Universidad de Sevilla
Abstract
Khovanov and Seidel defined an action of the braid group by autoequivalences of a certain category of projective modules over the socalled zigzag algebra. Taking the Grothendieck group, one recovers the famous Burau representation, but unlike the latter, KhovanovSeidel representation is faithful. In work with Licata, I showed how to use KhovanovSeidel representation to extract metric data on braids. Building upon this idea, I'll try to convince the audience that such categorical tools should play in the larger context of geometric group theory.

10:00  10:30 am ESTCoffee Break11th Floor Collaborative Space

10:30  11:15 am ESTCategorical $q$deformed rational numbers and compactifications of stability space11th Floor Lecture Hall
 Speaker
 Asilata Bapat, The Australian National University
 Session Chair
 Juan GonzálezMeneses, Universidad de Sevilla
Abstract
We will discuss new categorical interpretations of two distinct $q$deformations of the rational numbers. The first one was introduced in a different context by MorierGenoud and Ovsienko, and enjoys fascinating combinatorial, topological, and algebraic properties. The second one is a natural partner to the first, and is new. We obtain these deformations via boundary points of a compactification of the space of Bridgeland stability conditions on the 2CalabiYau category of the $A_{2}$ quiver. The talk is based on joint work with Louis Becker, Anand Deopurkar, and Anthony Licata.

11:30 am  12:15 pm ESTFrom configurations on graphs to cohomology of M_{2,n}11th Floor Lecture Hall
 Speaker
 Nir Gadish, The University of Michigan
 Session Chair
 Juan GonzálezMeneses, Universidad de Sevilla
Abstract
The configuration space of particles on a graph is a classifying space for the graph's braid group and thus computes the group cohomology. If instead one considers compactly supported cohomology the resulting groups depend only on the genus of the graph, or "loop order", and admit a particularly interesting action by Out(F_g). In this talk I will explain how tropical geometry relates these latter representations to the cohomology of the moduli spaces M_{g,n} and discuss computational approaches.

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Monday, February 21, 2022
Braids

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space

4:00  5:00 pm ESTDehn Surgery: Why and HowPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Siddhi Krishna, Columbia University
Abstract
In this survey talk, I'll introduce Dehn surgery, a prominent technique within lowdimensional topology for building 3manifolds. Dehn surgery can be studied using a variety of tools, including hyperbolic geometry, representation theory, and Floer homology. I'll provide an overview of major themes, questions, and results, as well as types of tools developed along the way. No background in 3 or 4manifold topology will be assumed  I will do my best to be as accessible as possible for grad students and postdocs across fields.
Tuesday, February 22, 2022
Braids

9:00  10:00 am ESTProfessional Development: Ethics IProfessional Development  11th Floor Lecture Hall

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Wednesday, February 23, 2022
Braids

1:30  2:30 pm ESTComputational Agenda Kick OffProblem Session  11th Floor Lecture Hall
Abstract
Please join us with your ideas, questions, and ambitions for all things algorithmic, whether you're an expert programmer or a novice looking learn more about computational approaches to braids.

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Thursday, February 24, 2022
Braids

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Monday, February 28, 2022
Braids

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space

4:00  5:00 pm ESTSurfaces, Triangulated Categories and DynamicsPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Edmund Heng, The Australian National University
Abstract
Recent developments in the theory of Bridgeland’s stability conditions have established astounding analogues of dynamics and Teichmuller theory in triangulated categories. In this talk I will aim to introduce the study of dynamical systems in triangulated categories. In particular, I will introduce the notion of categorical entropy, which aims to measure the complexity of endofunctors of triangulated categories. If time allows, I will briefly explain a categorical NielsenThurston classification for the rank two Artin groups, coming from a notion of HNautomaton that serves as a traintrack automaton in the categorical world.
Tuesday, March 1, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Wednesday, March 2, 2022
Braids

9:00  10:00 am ESTProfessional Development: Ethics IIProfessional Development  11th Floor Lecture Hall

1:30  2:30 pm ESTColloquium  Taut foliations of 3manifolds with Heegaard genus twoSeminar  11th Floor Lecture Hall
 Virtual Speaker
 Tao Li, Boston College
Abstract
Let M be a closed, orientable, and irreducible 3manifold with Heegaard genus two. We prove that if the fundamental group of M is leftorderable then M admits a coorientable taut foliation.

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Thursday, March 3, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Friday, March 4, 2022
Braids

11:30 am  12:30 pm ESTComputational Seminar  Conjugacy problem and NielsenThurston classification of braids.Seminar  11th Floor Lecture Hall
 Juan GonzálezMeneses, Universidad de Sevilla
Abstract
We will explain some algorithms to solve the conjugacy problem in braid groups, and how they can be used to determine the NielsenThurston classification of a braid into periodic, reducible, or pseudoAnosov. Most of these algorithms are included in the C++ library "cbraid" and the program "braiding", available under GPL (https://github.com/jeanluct/cbraid).

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Monday, March 7, 2022
Braids

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space

4:00  5:00 pm ESTBraids and the fractional Dehn twist coefficientPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Hannah Turner, Georgia Institute of Technology
Abstract
In this talk I'll discuss an invariant for braids (and other objects  but I'll focus on braids) called the fractional Dehn twist coefficient. This invariant heuristically measures how "twisted" a braid is. I will survey results that relate the fractional Dehn twist coefficient a braid to topological/geometric properties of its closure.
Tuesday, March 8, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Wednesday, March 9, 2022
Braids

9:00  10:00 am ESTProfessional Development: Job Applications in AcademiaProfessional Development  11th Floor Lecture Hall

1:30  2:30 pm ESTColloquium  Alternating links and rational homology 4ballsSeminar  11th Floor Lecture Hall
 Brendan Owens, University of Glasgow
Abstract
I will discuss the related problems of determining which alternating knots are smoothly slice, and which have double branched covers which bound rational homology balls, as well as generalisations of these questions to links. I will describe some progress on these problems, including the extremal determinant case of a conjectured answer to the rational ball question. The latter is joint work with Josh Greene. The talk will be examplefocused.

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Thursday, March 10, 2022
Braids

10:30  11:50 am ESTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Friday, March 11, 2022
Braids

11:30 am  12:30 pm ESTComputational Seminar  Introduction to SnapPySeminar  11th Floor Lecture Hall
 Virtual Speaker
 Marc Culler, University of Illinois at Chicago

3:00  3:30 pm ESTCoffee Break11th Floor Collaborative Space
Monday, March 14, 2022
Braids

3:00  3:30 pm EDTPi Day Coffee BreakCoffee Break  11th Floor Collaborative Space

4:00  4:30 pm EDTPeg problemPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Lei Chen, University of Maryland, College Park

4:30  5:00 pm EDTOrder Preserving BraidsPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Jonathan Johnson, Oklahoma State University
Abstract
When does a braid preserve a biordering of the free group? The answer to this question has interesting applications to the biorderability of link groups. Let’s explore this question together.
Tuesday, March 15, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Wednesday, March 16, 2022
Braids

1:30  2:30 pm EDTColloquiumSeminar  11th Floor Lecture Hall
 Anthony Licata, Australian National University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Thursday, March 17, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

1:30  2:30 pm EDTPrep talks for the workshop "Braids in Symplectic and Algebraic Geometry"Tutorial  11th Floor Lecture Hall
 John Etnyre, Georgia Institute of Technology

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Friday, March 18, 2022
Braids

1:30  2:30 pm EDTPrep talks for the workshop "Braids in Symplectic and Algebraic Geometry"Tutorial  11th Floor Lecture Hall
 Anand Deopurkar, Australian National University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Monday, March 21, 2022

8:30  8:50 am EDTCheck In11th Floor Collaborative Space

8:50  9:00 am EDTWelcome11th Floor Lecture Hall
 Brendan Hassett, ICERM/Brown University

9:00  9:45 am EDTStable cohomology of braid groups with coefficients in symplectic representations11th Floor Lecture Hall
 Speaker
 Craig Westerland, University of Minnesota
 Session Chair
 Inanc Baykur, University of Massachusetts Amherst
Abstract
The braid groups are equipped with symplectic representations via their connection with hyperelliptic mapping class groups. In this talk I'll describe joint work with Bergström, Diaconu, and Petersen in which we compute the stable cohomology of these representations. Time permitting, I will discuss connections to conjectures on moments of quadratic Dirichlet Lfunctions.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTLaudenbach’s sequence for mapping class groups of connect sums of S2 x S1.11th Floor Lecture Hall
 Speaker
 Tara Brendle, University of Glasgow
 Session Chair
 Inanc Baykur, University of Massachusetts Amherst
Abstract
Let Mn denote the connect sum of n copies of S2 x S1, and let Mod(Mn) denote its mapping class group. A theorem of Laudenbach from 1973 gives a short exact sequence realizing Mod(Mn) as an extension of Out(Fn) by (Z/2)n. In this talk we will show that Laudenbach’s sequence splits, with Out(Fn) embedded in Mod(Mn) as the stabilizer of a trivialization of TMn. This is joint work with Nathan Broaddus and Andrew Putman.

11:30 am  12:15 pm EDTHolomorphic maps between Configurations and Moduli spaces11th Floor Lecture Hall
 Speaker
 Lei Chen, University of Maryland, College Park
 Session Chair
 Inanc Baykur, University of Massachusetts Amherst
Abstract
In this talk, I will discuss holomorphic maps between Configuration spaces of complex plane and Moduli space. This is a joint work with Nick Salter

12:30  2:30 pm EDTLunch/Free Time

2:30  3:15 pm EDTUnexpected fillings and braided curve arrangements: Part I11th Floor Lecture Hall
 Virtual Speaker
 Laura Starkston, UC Davis
 Session Chair
 Inanc Baykur, University of Massachusetts Amherst
Abstract
We examine Stein fillings of contact 3manifolds that arise as links of certain isolated complex surface singularities. For a particular class of rational singularities, the contact structure is supported by a planar open book. This allows us to give a correspondence between Stein fillings and certain decorated plane curve arrangements. We can encode such a curve arrangement via a braided wiring diagram that captures the corresponding monodromy factorization of the Stein filling. Our correspondence gives a symplectic analog of a result by de Jongvan Straten on the smoothings for these singularities, which they encode by certain deformations of a reducible singular algebraic curve associated to the singularity.

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space

4:00  4:45 pm EDTUnexpected fillings and braided curve arrangements  Part 211th Floor Lecture Hall
 Speaker
 Olga Plamenevskaya, Stony Brook University
 Session Chair
 Inanc Baykur, University of Massachusetts Amherst
Abstract
Using the constructions described in Part I, we compare Stein fillings to Milnor fibers of smoothings for certain rational complex surface singularities. This addresses an important question on the interplay of symplectic and algebraic geometry: every Milnor fiber gives a Stein filling, but the converse is only known to be true in some very special cases. We will explain how to construct "unexpected" Stein fillings via "unexpected" pseudoline arrangements, and show that the topology of these fillings is different from that of any Milnor fiber.

5:00  6:00 pm EDTReception11th Floor Collaborative Space
Tuesday, March 22, 2022

9:00  9:45 am EDTPure braids in birational geometry11th Floor Lecture Hall
 Speaker
 Michael Wemyss, University of Glasgow
 Session Chair
 Anand Deopurkar, Australian National University
Abstract
I will give an overview of some joint work with Will Donovan, and with Yuki Hirano, where we show that certain surgeries in birational geometry (flopping contractions) admit actions of purebraid type groups, and we prove various results (such as faithfulness) in that direction. These groups include pure braid groups of Type ADE, but they also contain fundamental groups of nonCoxeter hyperplane arrangements.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTHomological stability for TemperleyLieb algebras11th Floor Lecture Hall
 Speaker
 Rachael Boyd, University of Cambridge
 Session Chair
 Anand Deopurkar, Australian National University
Abstract
Many sequences of groups and spaces satisfy a phenomenon called 'homological stability'. I will present joint work with Hepworth, in which we abstract this notion to sequences of algebras, and prove homological stability for the sequence of TemperleyLieb algebras. The proof uses a new technique of 'inductive resolutions', to overcome the lack of flatness of the TemperleyLieb algebras. I will also introduce the 'complex of planar injective words' which plays a key role in our work. Time permitting, I will explore some connections to representation theory and combinatorics that arose from our work.

11:30 am  12:15 pm EDTBraid monodromy and fundamental groups11th Floor Lecture Hall
 Speaker
 Michael Lönne, University Bayreuth
 Session Chair
 Anand Deopurkar, Australian National University
Abstract
While the braid monodromy of a divisor determines a finite presentation of the fundamental group of its complement, there lacks a general method for its computation. We want to give a review on ideas how to overcome these shortcomings and to exploit additional information in case of discriminants of isolated hypersurface singularities and linear systems to get presentations anyway.

12:30  2:30 pm EDTLunch/Free Time

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space
Wednesday, March 23, 2022

9:30  10:15 am EDTCharacterizing mapping classes of a K3 manifold11th Floor Lecture Hall
 Speaker
 Eduard Looijenga, Mathematisch Instituut Universiteit Utrecht
 Session Chair
 Benson Farb, University of Chicago
Abstract
This reports on joint work (in progress) with Benson Farb. Thurston characterized mapping classes of compact oriented 2manifolds by singling out in each class a subclass enjoying special geometric properties (such as the preservation of a foliation on a subsurface). This is quite helpful in understanding such a mapping class. The ultimate goal is to develop something similar for K3 manifolds, where mapping classes often appear as monodromies of complexanalytic families. As we shall explain, in such a program a special role is played by genus one fibrations (in the differentiable category) and the associated representation of the spherical braid group.

10:30  11:00 am EDTCoffee Break11th Floor Collaborative Space

11:00  11:45 am EDTPlumbings and flops11th Floor Lecture Hall
 Virtual Speaker
 Ivan Smith, University of Cambridge
 Session Chair
 Benson Farb, University of Chicago
Abstract
We will discuss the symplectic topology of certain simple plumbings of 3spheres which are related, at a derived level and depending interestingly on the characteristic of the ground field, to local threefolds containing a pair of floppable curves. This talk reports on joint work with Michael Wemyss.

12:00  12:10 pm EDTGroup Photo (Immediately After Talk)11th Floor Lecture Hall

12:10  2:00 pm EDTLunch/Free Time

2:00  3:00 pm EDTLightning Talks11th Floor Lecture Hall
 Speakers
 Ishan Banerjee, University of Chicago
 Orsola CapovillaSearle, University of California, Davis
 Marc Kegel, HumboldtUniversität zu Berlin
 Francesco Morabito, École Polytechnique
 Virtual Speaker
 MinhTam Trinh, MIT
 Session Chair
 Benson Farb, University of Chicago
Abstract
Extending homological stability for spaces of nonsingular hyper surfaces
Ishan Banerjee, The University Of Chicago
Spaces of nonsingular hypersurfaces in P^n (and more generally in smooth projective varieties) are known to exhibit homological stability. I will survey some of the work that has been done in this area before discussing my work on extending the ranges of stabiltiy and proving analogous results in similar contexts
Artin Braids from Infinitesimal Loops
MinhTâm Trinh, Massachusetts Institute of Technology
In algebraic geometry, Spec of the field of formal Laurent series is an infinitesimal loop. Any map from this scheme into a quotient M / W, where M is the complex hyperplanearrangement complement corresponding to a reflection group W, determines an element in the (profinite) braid group of W up to conjugacy. We classify the elements thus obtained, which we call algebraic braids. Our result roughly generalizes the classification of the links of plane curves. The form of the answer is related to Geck–Michel's notion of the "good" elements of W. We deduce that all algebraic braids have Burau spectral radius 1; in type A, we conjecture that more strongly, they all have topological entropy zero.
A winding number filtration on the Morse complex
Francesco Morabito, École Polytechnique
In this talk I will present some results I have obtained during my PhD project; it is very much still a work in progress. Starting from some works by Patrice Le Calvez developed in the nineties, I have constructed a filtration on the power Morse complex of a generating function of a compactly supported Hamiltonian diffeomorphism on the plane. I will give an idea of the framework I used, and if time permits, of how to extend winding numbers to the diagonal in a consistent way. <b>
Stein traces
Marc Kegel, Humboldt University Berlin
Every Legendrian knot L leaves a Stein trace in the 4dimensional symplectic world by attaching a Weinstein 2handle along L to the 4ball. In this talk we will investigate whether a 4dimensional tracker (with the necessary mathematical education) can determine the 3dimensional creature that left the trace. This is based on joint work with Roger Casals and John Etnyre.
Infinitely many planar exact Lagrangian fillings and symplectic Milnor fibers
Orsola CapovillaSearle, UC Davis
We provide a new family of Legendrian links with infinitely many distinct exact orientable Lagrangian fillings up to Hamiltonian isotopy. This family of links includes the first examples of Legendrian links with infinitely many distinct planar exact Lagrangian fillings, which can be viewed as the smallest Legendrian links currently known to have infinitely many distinct exact Lagrangian fillings. As an application we find new examples of infinitely many exact Lagrangian spheres and tori 4dimensional Milnor fibers of isolated hypersurface singularities with positive modality. 
3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

3:30  4:15 pm EDTMaps of braid groups11th Floor Lecture Hall
 Speaker
 Dan Margalit, Georgia Institute of Technology
 Session Chair
 Benson Farb, University of Chicago
Abstract
In joint work with Chen and Kordek, we recently classified all homomorphisms from the braid group on n strands to a braid group on at most 2n strands. I will present two proofs of this theorem, some related results, and a conjectural classification of all homomorphisms between braid groups.
Thursday, March 24, 2022

9:00  9:45 am EDTProducts of positive Dehn twists and their iterates11th Floor Lecture Hall
 Speaker
 Paul Seidel, MIT
 Session Chair
 Ailsa Keating, University of Cambridge
Abstract
(This is joint work in progress with S. Bao) Symplectic Floer homology provides a natural algebraic count of the fixed points and periodic points of a symplectic diffeomorphism. In the case of a product of Dehn twists, it is related to the intersections of the Lagrangian spheres involved. I will explain some simple applications of this idea, in particular to exponential growth rates, and then discuss the underlying Floer theory.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTArrangements, duality, and local systems11th Floor Lecture Hall
 Virtual Speaker
 Alexandru Suciu, Northeastern University
 Session Chair
 Ailsa Keating, University of Cambridge
Abstract
We consider smooth, complex quasiprojective varieties that admit a compactification with a boundary which is an arrangement of smooth algebraic hypersurfaces. If the hypersurfaces intersect locally like hyperplanes, and the relative interiors of the hypersurfaces are Stein manifolds, we prove that the cohomology of certain local systems on the variety vanishes. As an application, we show that complements of linear, toric, and elliptic arrangements, as well as some orbit configuration spaces of Riemann surfaces are both duality and abelian duality spaces. This is joint work with Graham Denham.

11:30 am  12:15 pm EDTThurston theory: a tale of two theorems11th Floor Lecture Hall
 Speaker
 Becca Winarski, MSRI/College of the Holy Cross
 Session Chair
 Ailsa Keating, University of Cambridge
Abstract
The Nielsen–Thurston classification of mapping classes and Thurston's theorem for the characterization of rational maps are central theorems in surface topology and complex dynamics, respectively. We give a single proof that unifies the two theorems. Moreover, we adapt mapping class group techniques to develop an algorithm that identifies when a branched selfcover of the plane is equivalent to a polynomial. This is joint work with Jim Belk, Justin Lanier, and Dan Margalit.

12:30  2:30 pm EDTLunch/Free Time

2:30  3:15 pm EDTSurface Braids and Galois Cohomology11th Floor Lecture Hall
 Speaker
 Jesse Wolfson, University of California, Irvine
 Session Chair
 Ailsa Keating, University of Cambridge
Abstract
By a theorem of Artin and Griffiths, every sufficiently small Zariski open of a complex variety admits the structure of an iterated punctured curve fibration. Said another way, the absolute Galois group of a complex function field admits the structure of an (inverse limit of) iterated free by free groups with monodromy given by mapping classes. In the present talk, we describe joint work in progress with Benson Farb and Mark Kisin to use the theory of surface braids to construct Galois cohomology classes and control their behavior under finite extensions with specified ramification. Time permitting, we will sketch applications and limitations of this method for understanding how hard it is to solve a general degree n polynomial.

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space

4:00  5:00 pm EDTOpen Problem SessionProblem Session  11th Floor Lecture Hall
 Session Chair
 Ailsa Keating, University of Cambridge
Friday, March 25, 2022

9:00  9:45 am EDTGeometric monodromy of families of framed Riemann surfaces11th Floor Lecture Hall
 Speaker
 Nick Salter, University of Notre Dame
 Session Chair
 Anthony Licata, Australian National University
Abstract
A family of Riemann surfaces gives rise to a geometric monodromy group valued in the mapping class group of the fiber. In a surprising diversity of examples in algebraic geometry (e.g. linear systems on algebraic surfaces, Milnor fibers of an isolated plane curve singularity, strata of abelian differentials), the fibers come endowed with a canonical framing (or some close cousin known as an "rspin structure"). This forces the monodromy group to stabilize this framing up to isotopy, and one would like to know if this gives a complete description  is the monodromy group *equal* to the associated “framed mapping class group”? I will give an account of this story, with the ultimate aim of explaining how the methods of geometric group theory can be used to give a positive answer in each of the situations mentioned above, and the consequences this has for the study of vanishing cycles and of injectivity properties of monodromy groups. This incorporates joint work with Calderon and with Portilla Cuadrado.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTRewrite systems in 3free Artin groups11th Floor Lecture Hall
 Speaker
 Rose MorrisWright, UCLA
 Session Chair
 Anthony Licata, Australian National University
Abstract
(Joint work with Maria Cumplido and Ruben Blasco) Artin groups are a generalization of braid groups, first defined by Tits in the 1960s. While specific types of Artin groups have many of the same properties as braid groups, other examples of Artin groups are still very mysterious. In particular, it is unknown whether the word problem is solvable for all Artin groups. I will discuss a new algorithm for solving the word problem in 3free Artin groups. This is based on work by Holt and Rees for large type and sufficiently large type groups (2012 and 2013). Our work significantly broadens the class of Artin groups to which this result applies because it allows for groups that have commuting generators. This algorithm gives an explicit way to reduce a word to a geodesic word without ever increasing the length of the word.

11:30 am  12:15 pm EDTBraid factorizations and exotic complex curves11th Floor Lecture Hall
 Speaker
 Kyle Hayden, Columbia University
 Session Chair
 Anthony Licata, Australian National University
Abstract
Braid factorizations provide a link between the braid group and the study of embedded surfaces and complex curves in 4manifolds. After reviewing a bit of this story, I will explain how quasipositive braid factorizations can help bridge the gap between the rigid complex realm and the exotic smooth setting, building the first examples of complex curves that are isotopic through homeomorphisms but not diffeomorphisms of complex 2space. Time permitting, I will explain how this relates to a speculative connection between braid factorizations and Khovanov and Floer homologies.

12:30  2:30 pm EDTLunch/Free Time

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space
Monday, March 28, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

4:00  4:30 pm EDTAlgorithms with fibered links and closures of positive braidsPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Marc Kegel, HumboldtUniversität zu Berlin
Abstract
We will follow beautiful work of D. Gabai explaining how to understand if a link is fibered and relate this to closures of positive braids. If time permits we will discuss an algorithm that decides in finite time if a knot is the closure of a positive braid and discuss its running time. Everyone is welcome to attend.

4:30  5:00 pm EDTLegendrian knots and contact geometryPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Rima Chatterjee, University of Cologne
Abstract
Legendrian knots in contact geometry has been extensively studied in the last couple of decades. In this talk, I'll introduce Legendrian knots and its properties. Specifically, I'll discuss some applications which show how these knots have become so important in the study of (contact) 3 manifolds. No prior knowledge of contact geometry will be assumed.
Tuesday, March 29, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Wednesday, March 30, 2022
Braids

9:00  10:00 am EDTProfessional Development: HiringProfessional Development  11th Floor Lecture Hall

10:15  10:30 am EDTGraduate Student/Postdoc Group PhotoGroup Photo (Immediately After Talk)  11th Floor Collaborative Space

1:30  2:30 pm EDTColloquium  Illustrating geometry (and topology)Seminar  11th Floor Lecture Hall
 Virtual Speaker
 Saul Schleimer, University of Warwick
Abstract
According to Poincaré “geometry is the art of reasoning well from badly drawn figures” [1895]. In this talk I will give an informal discussion of some famous attempts to draw mathematical figures: some more, and some less, badly drawn. I will finish by discussing some of my own work in this direction, attempting to use computer graphics, interactive web apps, and 3D printing to illustrate mathematics.

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Thursday, March 31, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Friday, April 1, 2022
Braids

11:30 am  12:30 pm EDTComputational Seminar  The search for alternating and quasialternating surgeriesSeminar  11th Floor Lecture Hall
 Marc Kegel, HumboldtUniversität zu Berlin
Abstract
A slope r is called alternating slope for a knot K in the 3sphere if the rsurgery along K is diffeomorphic to the double branched cover branched over an alternating link in the 3sphere. We will quickly discuss the relevance of this notion and then algorithmically classify for concrete example knots all their alternating slopes. For that we will use mainly SnapPy with help from sage, regina, and KLO (Knot Like Objects). I believe that the methods we are using are so general that they might be useful in other situations as well. The audience is encouraged to bring their own laptops and follow the algorithms interactively. This talk is based on joint work with Ken Baker and Duncan McCoy.

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Monday, April 4, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Tuesday, April 5, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Wednesday, April 6, 2022
Braids

9:00  10:00 am EDTProfessional Development: Papers and JournalsProfessional Development  11th Floor Lecture Hall

1:30  2:30 pm EDTColloquium  Counting geometric objects arithmetically with inspiration from topologySeminar  11th Floor Lecture Hall
 Isabel Vogt, Brown University
Abstract
The answers to many classical counting problems in complex algebraic geometry can be computed by taking the number of zeros of a section of an appropriate vector bundle. In the same way that a degree d polynomial over a nonalgebraically closed field need not have d roots defined over the field, results about constant counts in enumerative geometry can fail over arithmetically interesting ground fields. Building on ideas of Morel and Levine coming from topology, KassWickelgren gave an explicit "enrichment" of the number of zeros of a section of a relativelyorientable vector bundle that takes extra arithmetic data into account to yield constant enriched counts. I'll discuss an application of these ideas to the classical problem of counting the bitangents of a smooth plane quartic curve. Subtleties arise because the relevant vector bundle is not "relativelyorientable"! This is joint work with Hannah Larson.

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Thursday, April 7, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTDonut Break!Coffee Break  11th Floor Collaborative Space
Friday, April 8, 2022
Braids

11:30 am  12:30 pm EDTComputational Seminar  Introduction to KLOSeminar  11th Floor Lecture Hall
 Virtual Speaker
 Frank Swenton, Middlebury College
Abstract
In this talk, we'll present an introduction to KLO, both as a tool for manipulating diagrams for KnotLike Objects and as a computational framework for exploring questions and conjectures concerning them. After an overview of KLO's basic functionality with knot and knotted surface diagrams, Kirby diagrams, and surgery diagrams, we'll give an overview of the implementation of Brendan Owens's algorithm for finding ribbon disks for alternating knots, including a look at the computational results obtained thus far. Accretion of additional features of KLO has been largely userdirected, so ample time will be built in for discussion and suggestions; attendees are invited to bring their laptops and install KLO via the download links at http://klosoftware.net for the talk.

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Monday, April 11, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

4:00  5:00 pm EDTLink homology in a nutshellPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Marithania Silvero Casanova, Universidad de Sevilla
Tuesday, April 12, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Wednesday, April 13, 2022
Braids

9:00  10:00 am EDTProfessional Development: Grant ProposalsProfessional Development  11th Floor Lecture Hall

1:30  2:30 pm EDTColloquium  Nielsen realization problemsSeminar  11th Floor Lecture Hall
 Bena Tshishiku, Brown University
Abstract
The Nielsen realization problem is about group actions on manifolds. For a manifold M, it asks when a subgroup of the mapping class group Mod(M) can be lifted to a group of diffeomorphisms under the natural projection Diff(M) → Mod(M). We will discuss some aspects of this problem and its connections to geometry.

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

3:00  4:00 pm EDTDouble branched covers of links, signatures, and invariants from Heegaard Floer theoryKassar 105  Brown University Department of Math
 Biji Wong, Max Planck Institute for Mathematics
Abstract
Signatures are useful integer invariants that appear in many settings. They can be defined for manifolds, links, etc. In this talk we'll focus on 3manifolds that can be obtained as double branched covers of (multicomponent) links in the 3sphere. We'll relate the signature of the branched link to an invariant of the branched cover that comes from Heegaard Floer theory, a powerful set of tools for studying 3manifolds. This generalizes work of OwensManolescu, OwensLisca and others, and is work in progress with Marco Marengon.
Thursday, April 14, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Friday, April 15, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Monday, April 18, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

4:00  4:30 pm EDTA Quick Trip through String Link ConcordancePost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Miriam Kuzbary, Georgia Institute of Technology
Abstract
In this brief survey talk we will learn about a subclass of tangles called string links which can be contextualized as a generalization of pure braids. These objects are fundamental to the classification of links up to link homotopy by Habegger and Lin in the early nineties, and are interesting in their own right as a way to define a link concordance group for links with a fixed number of components. We will discuss Habegger and Lin’s results on both link homotopy and concordance and see how the pure braid group fits into the story.

4:30  5:00 pm EDTBranched coversPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Biji Wong, Max Planck Institute for Mathematics
Abstract
We'll introduce the theory of branched covers and use it to construct some interesting 3manifolds.
Tuesday, April 19, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Wednesday, April 20, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

4:15  5:05 pm EDTIntro to Machine Learning11th Floor Lecture Hall
 Maurizio Parton, University of ChietiPescara
Thursday, April 21, 2022
Braids

10:00  10:50 am EDTKnot theory and machine learning11th Floor Lecture Hall
 Virtual Speaker
 András Juhász, University of Oxford
Abstract
The signature of a knot K in the 3sphere is a classical invariant that gives a lower bound on the genera of compact oriented surfaces in the 4ball with boundary K. We say that K is hyperbolic if its complement admits a complete, finite volume hyperbolic metric. I will explain how we have used methods from machine learning to find an unexpected relationship between the signature and the cusp shape of a hyperbolic knot. This is joint work with Alex Davies, Marc Lackenby, and Nenad Tomasev.

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

11:00  11:50 am EDTMachine learning and the combinatorial invariance conjecture11th Floor Lecture Hall
 Virtual Speaker
 Alex Davies, DeepMind
Abstract
In this talk I will give an overview of using machine learning together with mathematicians to aid in conjecture discovery and describe work that we have done in collaboration with Geordie Williamson, using machine learning to help understand surprising new structure in representation theory.

1:00  1:50 pm EDTApplying Machine Learning to mathematics brainstorming/problem sessionProblem Session  11th Floor Lecture Hall
 Moderators
 Julia Grigsby, Boston College
 Mark Hughes, Brigham Young University
 Maurizio Parton, University of ChietiPescara

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Friday, April 22, 2022
Braids

11:30 am  12:30 pm EDTCars, Interchanges, Traffic Counters, and a Pretty Darned Good Knot Invariant11th Floor Lecture Hall
 Dror BarNatan, University of Toronto
Abstract
Reporting on joint work with Roland van der Veen, I'll tell you some stories about ρ1, an easy to define, strong, fast to compute, homomorphic, and wellconnected knot invariant. ρ1 was first studied by Rozansky and Overbay, it has farreaching generalizations, and I wish I understood it. http://drorbn.net/waco22

2:00  3:00 pm EDTIntroductory talk on (mostly Heegaard) Floer homology11th Floor Lecture Hall
 Matthew Hedden, Michigan State University
Abstract
I'll give a brief overview/introduction to Heegaard Floer homology in preparation for some of next week's conference talks.

3:00  3:30 pm EDTEnd of Semester Program Coffee BreakCoffee Break  11th Floor Collaborative Space
Monday, April 25, 2022

8:30  8:50 am EDTCheck In11th Floor Collaborative Space

8:50  9:00 am EDTWelcome11th Floor Lecture Hall
 Brendan Hassett, ICERM/Brown University

9:00  9:45 am EDTNew algebraic structures for Legendrian links11th Floor Lecture Hall
 Speaker
 Lenny Ng, Duke University
 Session Chair
 Matthew Hedden, Michigan State University
Abstract
I'll discuss a number of (arguably) new holomorphiccurve invariants of Legendrian knots and links. These come from an Linfinity structure on commutative Legendrian contact homology, derived from rational symplectic field theory. The new invariants include a symplectic structure on the augmentation variety of a Legendrian link, as well as a Poisson bracket (on a polynomial ring) associated to any positive braid. Parts of this are joint work in progress with Roger Casals, Honghao Gao, Linhui Shen, and Daping Weng.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTFractional Dehn twists and leftorders on mapping class groups11th Floor Lecture Hall
 Speaker
 Hannah Turner, Georgia Institute of Technology
 Session Chair
 Matthew Hedden, Michigan State University
Abstract
Threemanifolds (and closed braids inside them) admit descriptions called open book decompositions; in this setting a surface with boundary and a mapping class describe the 3manifold (and braid). One invariant of an open book is the fractional Dehn twist coefficient (FDTC). The FDTC is a real number invariant of a mapping class of a surface with boundary, which has connections to contact topology and foliation theory. I'll show that the FDTC of a given mapping class can be computed using a multitude of geometrically defined leftorders on the mapping class group. This is joint work with Diana Hubbard.

11:30 am  12:15 pm EDTComputational bounds on the band rank11th Floor Lecture Hall
 Speaker
 Mark Hughes, Brigham Young University
 Session Chair
 Matthew Hedden, Michigan State University
Abstract
The band rank of a braid is the length of its shortest decomposition into a product of conjugates of Artin generators. Using braided surfaces the band rank of a braid can be used to express the ribbon genus of its closure, and thus it is very difficult to compute in general. In this talk I will outline computational approaches to producing upper and lower bounds on the band rank of a braid. This is joint work with Justin Meiners.

12:30  2:30 pm EDTLunch/Free Time

2:30  3:15 pm EDTBraided Embeddings11th Floor Lecture Hall
 Speaker
 Sudipta Kolay, ICERM
 Session Chair
 Siddhi Krishna, Columbia University
Abstract
Braided embeddings are a natural generalization of closed braids in three dimensions, which gives a way to construct many higher dimensional embeddings. We will discuss the lifting and isotopy problem for braided embeddings. Time permitting, we will also mention some applications to the existence of nice branched coverings, contact geometry and homomorphisms between braid groups.

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space

4:00  4:45 pm EDTAlgebraic singular fibers from the symplectic perspective11th Floor Lecture Hall
 Speaker
 Jeremy Van HornMorris, University of Arkansas
 Session Chair
 Siddhi Krishna, Columbia University
Abstract
Kodaira classified all singular fibers that can arise in an algebraic fibration with genus 1 fiber. Sakali and I have been looking into a similar classification for genus 2 fibrations by Ogg, Iitaka and later Namikawa and Ueno and we determine how these singular fibrations deform into Lefschetz fibrations. The gamut of tools runs from deformation theory, to Lefschetz fibrations and open books, to braids and braided surfaces, and the branched covers that relate all of them. This is joint work with S. Sakalli.

5:00  6:30 pm EDTReception11th Floor Collaborative Space
Tuesday, April 26, 2022

9:00  9:45 am EDTGenericity of pseudoAnosov mapping classes11th Floor Lecture Hall
 Speaker
 Yvon Verberne, Georgia Institute of Technology
 Session Chair
 Joan Licata, Australian National University
Abstract
The NielsenThurston classification theorem states that mapping classes fall into three types: periodic, reducible, and pseudoAnosov. One of the famous open problems in the study of mapping class groups is to show that pseudoAnosov mapping classes are generic. This problem remains open, but it has been proven in one sense. In this talk, I will introduce this open problem and share the progress which has been made in solving the problem.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTTight surgeries on torus knots11th Floor Lecture Hall
 Speaker
 Bulent Tosun, University of Alabama
 Session Chair
 Joan Licata, Australian National University
Abstract
In 3dimensional contact geometry, tight contact structures constitute a geometrically interesting class of contact structures because they form natural boundary conditions for symplectic and certain complex 4manifolds, and moreover they are deeply related to the topology of 3manifolds, and Heegaard and Monopole Floer theories. An outstanding open problem in 3dimensional contact geometry concerns the classification of tight contact structures: When a closed oriented 3manifold admits a tight contact structure, can one classify all tight contact structures on the manifold? A great deal of important work in the last 25 years has been put towards the resolution of this fundamental question. But at the moment it is fair to say a thorough understanding is far from complete. For example, if one considers the classification question on 3manifolds obtained by Dehn filling of knots in three sphere, then currently the only such complete classification result for all surgeries available is for the unknot. In this talk, I will report on ongoing joint work with J. Etnyre and H. Min that gives the first complete classification result for all surgeries on an infinite family of torus knots. I will provide further context and motivations for the result, and give some details of the proof.

11:30 am  12:15 pm EDTBraids, homogenization, and the sliceBennequin inequality11th Floor Lecture Hall
 Speaker
 Peter Feller, ETH Zurich
 Session Chair
 Joan Licata, Australian National University
Abstract
We investigate braid invariants, such as the writhe and the fractional Dehn twist coefficient (FDTC), that arise as the homogenization of a concordance homomorphism, such as tau and Upsilon from the Heegaard Floer tool box. After providing a new characterization of the FDTC, we turn to connections with lowdimensional topology via the concept of homogenization of knot invariants. Concretely, we view the slice Bennequin inequalitya celebrated inequality due to KronheimerMrowka and Rudolph that relates a knot invariant (the smooth 4genus) and a braid invariant (the writhe)as a special case of relating knot concordance homomorphisms and their homogenizations. As an application we find that the sliceBennequin inequality holds with the FDTC in place of the writhe. Teaser: As a motivation for the concept of homogenization, this talk features a neat construction of the field of real numbers you probably dont know about.

12:30  2:00 pm EDTLunch/Free Time

2:00  2:45 pm EDTPure Braids, Legendrian Knots, and open book decompositions11th Floor Lecture Hall
 Speaker
 Sinem Onaran, Hacettepe University
 Session Chair
 John Etnyre, Georgia Institute of Technology
Abstract
In this talk, I will discuss the pure braided plat presentation for knots and links in lens spaces. Using such presentations, I will present an algorithm to put the knots on a planar page of an open book decomposition whose monodromy is a product of positive Dehn twists and discuss its applications.

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

3:30  4:15 pm EDTKnotted handlebodies11th Floor Lecture Hall
 Speaker
 Maggie Miller, Stanford University
 Session Chair
 John Etnyre, Georgia Institute of Technology
Abstract
We construct 3dimensional genusg handlebodies H and H' in the 4sphere so that H and H' have the same boundary and are homeomorphic rel boundary, but are not smoothly isotopic rel boundary (for all g ≥ 2). In fact, H and H' are not even topologically isotopic rel boundary, even when their interiors are pushed into the 5ball. This proves a conjecture of Budney and Gabai for g ≥ 2 in a very strong sense, and is a surprising answer to a 1dimension up version of an open question about Seifert surfaces in S^3. In this talk, I'll give 3 and 4dimensional motivation and discuss some interesting theorems about knotted surfaces that go into the construction. (This is joint with Mark Hughes and Seungwon Kim.)
Wednesday, April 27, 2022

9:00  9:45 am EDTAn algorithm to distinguish Legendrian knots11th Floor Lecture Hall
 Virtual Speaker
 Ivan Dynnikov, Steklov Mathematical Institute
 Session Chair
 Hannah Turner, Georgia Institute of Technology
Abstract
In recent joint works with Maxim Prasolov and Vladimir Shastin we developed a method to decide algorithmically whether or not two given Legendrian knots are equivalent. The method is based on the formalism of rectangular diagrams, which we have extended to Giroux' convex surfaces and Legendrian graphs. In many cases, the approach allows to distinguish Legendrian knots that are not distinguished by other known means or have so large complexity that other methods are not feasible to apply to them. We provide an example of two nonequivalent Legendrian knots that cobound an annulus embedded in the threesphere and tangent to the standard contact structure along the entire boundary. Such examples have not been known earlier.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTComputations of ECH capacities and infinite staircases of 4D symplectic embeddings11th Floor Lecture Hall
 Speaker
 Morgan Weiler, Cornell University
 Session Chair
 Hannah Turner, Georgia Institute of Technology
Abstract
Since McDuff proved that embedded contact homology can be used to characterize 4D ellipsoid embeddings in 2011 and McDuff and Schlenk discovered the first "infinite staircase" of ellipsoid embeddings in 2012, a growing body of work has analyzed which toric domains in R^4 (regions symmetric under the natural torus action from C^2) admit infinite staircases of ellipsoid embeddings. From the ECH (embedded contact homology) perspective, symplectic embeddings into a toric domain are determined by a certain set of torus knots on its boundary. We will discuss an algorithm used to identify these torus knots and find a fundamentally new type of infinite staircase in recent work with Magill and McDuff, as well as its possible generalizations and limitations.

11:30 am  12:15 pm EDTComputers, complex curves, and Khovanov homology11th Floor Lecture Hall
 Speaker
 Kyle Hayden, Columbia University
 Session Chair
 Hannah Turner, Georgia Institute of Technology
Abstract
Khovanov homology provides a powerful tool for studying knots and links in 3space and surfaces in 4space. I will discuss recent developments that use Khovanov homology to distinguish nonisotopic surfaces in the 4ball. We will see how braids relate two seemingly disparate strengths of these tools from Khovanov homology: their amenability to calculation (including recent software), and their sensitivity to complex curves.
Based on joint work with Isaac Sundberg and with Alan Du. 
12:30  12:40 pm EDTGroup Photo Immediately following talkGroup Photo (Immediately After Talk)  11th Floor Lecture Hall

12:40  2:30 pm EDTLunch/Free Time

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space
Thursday, April 28, 2022

9:00  9:45 am EDTBirmanMenasco finiteness theorem revisited11th Floor Lecture Hall
 Virtual Speaker
 Tetsuya Ito, Kyoto University
 Session Chair
 Antonio Alfieri, Université du Québec à Montréal (CRM)
Abstract
BirmanMenasco proved the remarkable finiteness theorem: modulo exchange move, the number of the closed nbraid representatives of genus g knots/links is finite. In this talk, I would like to explain various topics related or inspired by BirmanMenasco finiteness theorem. Among them, I will explain its quantitative refinement and applications.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTThe fractional Dehn twist coefficient: from braids to mapping class groups11th Floor Lecture Hall
 Speaker
 Diana Hubbard, Brooklyn College
 Session Chair
 Antonio Alfieri, Université du Québec à Montréal (CRM)
Abstract
The braid group is a particular example of the mapping class group of a surface with boundary. An invariant that roughly measures how much a mapping class “twists” about the boundary of the surface is the fractional Dehn twist coefficient. In this talk I will discuss some reasons why we might care about this invariant, several results about the fractional Dehn twist coefficient for braids, and explore to what extent these results can be extended to more general mapping class groups. This talk will include joint work with Peter Feller and Hannah Turner.

11:30 am  12:15 pm EDTVIrtual Artin groups II: pure subgroups and applications11th Floor Lecture Hall
 Speaker
 Paolo Bellingeri, University of Caen Normandy
 Session Chair
 Antonio Alfieri, Université du Québec à Montréal (CRM)
Abstract
This talk can be seen as the second part of the one given by Luis Paris last February. To make the exposition selfcontained, I will start with the definition (and the motivation) of this new family of groups and therefore I will present some results (and questions) on pure subgroups and crystallographic quotients of virtual Artin groups. At the end, if time permits, I will present other families of groups that admit similar notions of virtual extension. Joint work with Luis Paris and Anne Laure Thiel.

12:30  2:30 pm EDTLunch/Free Time

2:30  3:15 pm EDTAn Unknotting Number for Transverse Knots11th Floor Lecture Hall
 Speaker
 Lisa Traynor, Bryn Mawr College
 Session Chair
 Keiko Kawamuro, University of Iowa
Abstract
I will review some classic results about transverse knots in contact manifolds and then introduce the definition of the transverse unknotting number. For smooth knots, an “ancestordescendant” relation has been defined by CantarellaHenrichMagnessO’KeefePerezRawdonZimmer; I will describe a transverse analog of this relation and then define and calculate some “transverse family trees.” This is joint work with Blossom Jeong.

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space
Friday, April 29, 2022

9:00  9:45 am EDTNonpositive open books of Stein fillable contact 3manifolds11th Floor Lecture Hall
 Speaker
 Andy Wand, University of Glasgow
 Session Chair
 Vera Vertesi, University of Vienna
Abstract
We will discuss motivation for and approaches to the question of when the monoid in the mapping class group of a surface with boundary corresponding to monodromies of open book decompositions of Stein fillable contact 3manifolds differs from the monoid of mapping classes which admit factorizations into positive Dehn twists. In particlar, combining new results with previous work of several people, we give a complete solution to this problem for all but the case of the genus 1 surface with 1 boundary component. This is joint work with Vitalijs Brejevs.

10:00  10:30 am EDTCoffee Break11th Floor Collaborative Space

10:30  11:15 am EDTTaut Foliations and Braid Positivity11th Floor Lecture Hall
 Speaker
 Siddhi Krishna, Columbia University
 Session Chair
 Vera Vertesi, University of Vienna
Abstract
The Lspace conjecture has been in the news a lot lately: this conjecture predicts that three seemingly different ways to measure the "size" of a 3manifold are equivalent. In particular, it predicts that a manifold with the "extra" geometric structure of a taut foliation also has "extra" Heegaard Floer homology. In this talk, I'll discuss the motivation for this conjecture, and describe some new results which produce taut foliations by leveraging special properties of positive braid knots. Along the way, we will produce some novel obstructions to braid positivity. I will not assume any background knowledge in Floer or foliation theories; all are welcome!

11:30 am  12:15 pm EDTSymmetric knots and Heegaard Floer homology11th Floor Lecture Hall
 Speaker
 Antonio Alfieri, Université du Québec à Montréal (CRM)
 Session Chair
 Vera Vertesi, University of Vienna
Abstract
I will discuss some open problems regarding symmetric knots, and group actions on 3 and 4manifolds. In the second part of the talk I will discuss how techniques from Floer theory can be employed to approach some of these problems.

12:30  2:30 pm EDTLunch/Free Time

2:30  3:15 pm EDTKhovanov homology and knot detection11th Floor Lecture Hall
 Speaker
 Steven Sivek, Imperial College London
 Session Chair
 Marc Kegel, HumboldtUniversität zu Berlin
Abstract
In this talk I’ll outline a proof that Khovanov homology detects the T(2,5) torus knot. In particular, I’ll explain why a knot with the same Khovanov homology as T(2,5) must be fibered, and then use some deep results in Floer homology to see what we can deduce about the monodromy of that fibration. This is based on joint work with John Baldwin and Ying Hu.

3:30  4:00 pm EDTCoffee Break11th Floor Collaborative Space

4:00  4:45 pm EDTFloer homology and rightveering monodromy11th Floor Lecture Hall
 Speaker
 John Baldwin, Boston College
 Session Chair
 Marc Kegel, HumboldtUniversität zu Berlin
Abstract
In this talk I'll explain how knot Floer homology detects whether the monodromy of a fibered knot is rightveering. This gives a purely Floertheoretic characterization of tight contact structures, and has applications to Dehn surgery and taut foliations. Our proof uses a relationship between Heegaard Floer homology and the dynamics of surface diffeomorphisms. This is based on joint work with Yi Ni and Steven Sivek.
Monday, May 2, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space

4:00  4:30 pm EDTIn Sync—a course design on math, art and aestheticsPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Jiajun Yan, University of Virginia
Abstract
In this talk, I will speak about the design of an engagement course for freshman undergraduates I created which I will be teaching at UVA in Fall 2023. The course will seek traces of mathematical ideas in the realms of literature, visual arts and philosophy in the first half and will involve student projects in the later half. By presenting the design of this course, I want to encourage outreaching questions relating math and other subjects, introduce more daring approaches to make math accessible to the general audience and convey an alternative way to appreciate math.

4:30  5:00 pm EDTSome observations on isotopy classes of simple closed curves on closed non orientable surfacesPost Doc/Graduate Student Seminar  11th Floor Lecture Hall
 Willi Kepplinger, University of Vienna
Abstract
I will discuss some curiosities of isotopy classes of simple closed curves on closed non orientable surfaces
Tuesday, May 3, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Wednesday, May 4, 2022
Braids

1:30  2:30 pm EDTMeeting for Braids participantsMeeting  11th Floor Lecture Hall

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Thursday, May 5, 2022
Braids

10:30  11:50 am EDTSignatures in topology, algebra, and dynamicsSeminar  10th Floor Classroom
 Bena Tshishiku, Brown University

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
Friday, May 6, 2022
Braids

3:00  3:30 pm EDTCoffee Break11th Floor Collaborative Space
All event times are listed in ICERM local time in Providence, RI (Eastern Daylight Time / UTC4).
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Publications
 Juan Gonz{\'a}lezMeneses, Ivan Marin, Parabolic subgroups of complex braid groups I, arXiv preprint arXiv:2208.11938 (2022).