Organizing Committee
 Miranda Cheng
University of Amsterdam  Sergei Gukov
Caltech
Abstract
A longstanding problem in quantum topology is to find a function, more precisely a qseries with integer coefficients, such that its limiting values at primitive roots of unity yield invariants of Witten and ReshetikhinTuraev. In other words, such a function would be to 3manifolds what the Jones polynomial is to knots. Somewhat surprisingly, recent physics developments suggest that, in order to solve this problem, one must associate to a 3manifold not a single function (qseries), but rather a collection of functions. Very recently, based on both physical intuition and explicit computations, it was suggested that these 3manifold invariants display (modified) modularity properties of various types and are related to number theoretic objects including mock and false theta functions and quantum modular forms. This workshop will bring experts from the fields of topology, physics and number theory together, with the goal of combining knowledge and computational skills and furthering the understanding of the modular properties of the 3manifold invariants.
This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.
Confirmed Speakers & Participants
 Speaker
 Poster Presenter
 Attendee
 Virtual Attendee

Jozef Bodnar
Stony Brook University

Miranda Cheng
University of Amsterdam

Sungbong Chun
CalTech

HeeJoong Chung
Yau Mathematical Sciences Center (YMSC), Tsinghua University

Nathan Dunfield
University of Illinois, UrbanaChampaign

Gerald Dunne
University of Connecticut

Pavel Etingof
Massachusetts Institute of Technology

Boris Feigin
Russian Academy of Sciences

Francesca Ferrari
SISSA (Trieste)

Amanda Folsom
Amherst College

Sergei Gukov
Caltech

Sarah Harrison
McGill

Kazuhiro Hikami
Kyushu University

Aleksandr Kolpakov
University of Neuchâtel

Steffen Löbrich
University of Amsterdam

Jeremy Lovejoy
University of California, Berkeley

Ciprian Manolescu
University of California, Los Angeles

Antun Milas
SUNY Albany

Alexei Oblomkov
UMASS Amherst

Robert Osburn
University College Dublin

Sunghyuk Park
CalTech

Du Pei
Caltech and QGM, Aarhus University

Boris Pioline
Université Pierre et Marie Curie

Larry Rolen
Vanderbilt University

Gabriele Sgroi
University of Amsterdam

Nikita Sopenko
CalTech

Bogdan Stoica
Brandeis University

Don Zagier
Max Planck Institute for Mathematics
Workshop Schedule
Friday, March 8, 2019
Saturday, March 9, 2019
Sunday, March 10, 2019
Time  Event  Location  Materials 

9:15  10:15am EDT  Vertex Operator Algebras and False/Mock Modular Forms  Antun Milas, SUNY Albany  11th Floor Lecture Hall  
10:30  11:30am EDT  Discussion Session VOA characters, quantum modular forms, and homological blocks  Moderated by: Boris Feigin and Pavel Etingof  11th Floor Lecture Hall  
11:30  12:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
12:00  1:00pm EDT  Discussion Session Mock modular forms and Homological Blocks  Moderated by: Miranda Cheng, Sarah Harrison, Francesca Ferrari  11th Floor Lecture Hall  
1:00  2:30pm EDT  Break for Lunch  
2:30  3:30pm EDT  Discussion Session calculations for higher rank gauge groups  Moderated by: HeeJoong Chung, Sunghyuk Park, Francesca Ferrari  11th Floor Lecture Hall 