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Combinatorial Link Homology Theories, Braids, and Contact Geometry (August 4-8, 2014)


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Organizing Committee
  • John Baldwin
    (Boston College)
  • Joshua Greene
    (Boston College)
  • Elisenda Grigsby
    (Boston College), Chair
  • Keiko Kawamuro
    (University of Iowa)
  • Dan Margalit
    (Georgia Tech)


Picture

[Image Courtesy: John Baldwin]

 

Description

This workshop will focus on recent advances in combinatorial link homology theories (e.g., Heegaard-Floer homology and Khovanov homology), especially as they apply to questions about braids and, more generally, mapping class groups of surfaces. There will be short mini-courses on

  1. Combinatorial knot Floer homology, with applications to contact geometry,
  2. Braid foliations and the Jones conjecture,
  3. Nielsen-Thurston theory, and
  4. Garside theory and a linear order on the braid group,

along with a number of research and expository talks. The talks will emphasize the role that computation and experiment have thus far played in stating key conjectures and establishing key results. The workshop will culminate in a computational problem session, in which participants will discuss promising directions for future exploration and indicate which computations may be most useful in that exploration.

As the main goal of the workshop is to facilitate interaction across a broad swath of the low-dimensional topology community, all talks will be at a level appropriate for "non-experts." Graduate students and early career researchers interested in learning the big open problems in this area--as well as the main techniques at hand to approach them--are particularly encouraged to apply.

This workshop is partially funded by NSF CAREER award DMS-1151671


  • Tetsuya Abe
    (Tokyo institute of technology)
  • Watchareepan Atiponrat
    (University at Buffalo (SUNY))
  • Yeongjin Bae
    (Institutue for Basic Science, Center for Geometry )
  • Ken Baker*
    (University of Miami)
  • John Baldwin
    (Boston College)
  • Ian Banfield
    (Boston College)
  • Anthony Bosman
    (Rice University)
  • Kathryn Bryant
    (Bryn Mawr College)
  • John Burke
    (Rhode Island College)
  • Merve Cengiz
    (Koc University)
  • Mustafa Cengiz
    (Bogaziçi University)
  • Apratim Chakraborty
    (Stony Brook University)
  • Corrin Clarkson
    (Columbia University)
  • Chris Cornwell
    (Duke University)
  • Aliakbar Daemi
    (Harvard University)
  • Nathan Dunfield *
    (University of Illinois at Urbana-Champaign)
  • Nguyen Duong
    (University of Alabama)
  • Ivan Dynnikov*
    (Moscow State University)
  • John Etnyre*
    (Georgia Institute of Technology)
  • Peter Feller
    (Universität Bern)
  • Honghao Gao
    (Northwestern University)
  • Matthew Graham
    (Northwestern University)
  • Joshua Greene
    (Boston College)
  • Elisenda Grigsby
    (Boston College)
  • Kristen Hendricks
    (University of California, Los Angeles)
  • Daniel Herr
    (Wheaton College)
  • Eriko Hironaka *
    (Florida State University)
  • JungHwan Park
    (Rice University)
  • Ina Petkova *
    (Rice University)
  • Maxim Prasolov*
    (Moscow State University)
  • Camila Ramirez
    (University of Iowa)
  • Katherine Raoux
    (Brandeis University)
  • Huygens Ravelomanana
    (University of Quebec)
  • Arunima Ray
    (Rice University)
  • Rachel Roberts*
    (Washington University)
  • Adam Saltz
    (Boston College)
  • Sucharit Sarkar *
    (Princeton University)
  • Christopher Scaduto
    (UCLA)
  • Hannah Schwartz
    (Bryn Mawr College)
  • Vladimir Shastin
    (Moscow State University)
  • Akram Sheikh Alishahi
    (Max Planck Institute for Mathematics)
  • Alexander Shumakovitch
    (George Washington University)
  • Steven Sivek
    (Princeton University)
  • Andras Stipsicz*
    (Hungarian Academy of Sciences (MTA))
  • Wilson Toko
    (University of the Witwatersrand)
  • Linh Truong
    (Princeton University)
  • Katherine Vance
    (Rice University)
  • Shea Vela-Vick*
    (Louisiana State University)
  • Vera Vertesi
    (Université de Nantes)
  • Stephan Wehrli
    (Syracuse University)
  • Biji Wong
    (Brandeis University)
  • Chuen-Ming Mike Wong
    (Columbia University)
  • Yuliya Zelenyuk
    (University of the Witwatersrand)
  • Claudius Zibrowius
    (University of Cambridge)
MondayAugust 4, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
8:30 - 8:55Registration11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 10:30Minicourse- Braid Foliations IDoug LaFountain, Western Illinois University11th Floor Lecture Hall
PDF
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 12:00Computational complexity of problems in 3-dimensional topologyNathan Dunfield, University of Illinois at Urbana-Champaign11th Floor Lecture Hall
PDF
12:00 - 2:00Break for Lunch
2:00 - 3:30Minicourse- Nielsen-Thurston theory IJohanna Mangahas, Brown University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 5:00Foliations, Flows, and Contact StructuresRachel Roberts, Washington University11th Floor Lecture Hall
PDF
5:15 - 6:30Welcome Reception11th Floor Collaborative Space

TuesdayAugust 5, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 10:30Minicourse- Braid Foliations IIDoug LaFountain, Western Illinois University11th Floor Lecture Hall
PDF
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 12:00Intro. to Legendrian & Transverse KnotsJohn Etnyre, Georgia Institute of Technology11th Floor Lecture Hall
12:00 - 2:00Break for Lunch
2:00 - 3:30Minicourse- Nielsen-Thurston theory IIJoanna Mangahas, Brown University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 5:00Teichmueller polynomials for free-by-cyclic groups and clique polynomials of digraphsEriko Hironaka, Florida State University11th Floor Lecture Hall
PDF

WednesdayAugust 6, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 10:30Minicourse- Grid Diagrams and Contact Geometry ILenhard Ng, Duke University11th Floor Lecture Hall
PDF
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 12:00Rectangular Diagrams and Jones' Conjecture I- monotonic simplification and Legendrian linksIvan Dynnikov, Moscow State University11th Floor Lecture Hall
PDF
12:10 - 12:20Group Photo11th Floor Lecture Hall
12:20 - 2:00Break for Lunch
2:00 - 3:00Rectangular Diagrams and Jones' Conjecture II- Legendrian graphs, bypasses and simplifying disksMaxim Prasolov, Moscow State University11th Floor Lecture Hall
PDF
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space
3:30 - 5:00Minicourse- Garside structure and Dehornoy ordering of braid groups for topologists ITetsuya Ito, Kyoto University11th Floor Lecture Hall
PDF

ThursdayAugust 7, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 10:30Minicourse- Grid Diagrams and Contact Geometry IILenhard Ng, Duke University11th Floor Lecture Hall
PDF
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 12:00Divide knots vs L-space knotsKen Baker, University of Miami11th Floor Lecture Hall
PDF
12:00 - 2:00Break for Lunch
2:00 - 3:30Minicourse- Garside structure and Dehornoy ordering of braid groups for topologists IITetsuya Ito, Kyoto University11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 5:00Braids and combinatorial knot Floer homologyShea Vela-Vick, Louisiana State University11th Floor Lecture Hall
PDF

FridayAugust 8, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
8:30 - 9:30Knot Floer homologiesAndras Stipsicz, Hungarian Academy of Sciences (MTA)11th Floor Lecture Hall
PDF
9:45 - 10:45Combinatorial tangle Floer homologyIna Petkova, Rice University11th Floor Lecture Hall
PDF
10:45 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 12:00Computational Problem SessionJohn Baldwin, Boston College11th Floor Lecture Hall
12:00 - 1:15Break for Lunch
1:15 - 2:15Monoids, braids and the mapping class groupJohn Etnyre, Georgia Institute of Technology11th Floor Lecture Hall
2:30 - 3:30Spectral Sequence from Khovanov HomologySucharit Sarkar, Princeton University11th Floor Lecture Hall
PDF