Geometric representation theory and low-dimensional topology

10-14 June 2019

ICMS, The Bayes Centre, 47 Potterrow, Edinburgh EH8 9BT

Scientific Organisers

  • Dan Freed, University of Texas, Austin
  • David Jordan, University of Edinburgh
  • Peter Samuelson, University of California, Riverside
  • Olivier Schiffmann, University of Paris-Sud, Orsay

The aim of this workshop is to bring together researchers in topological field theory, geometric representation theory, mathematical physics, and algebraic combinatorics to report on recent progress and open questions at the intersection of these fields. In recent years, several independent research groups have raised the possibility of new 3- and 4-dimensional topological field theories tying together Khovanov-Rozansky knot homology, double affine Hecke algebras and elliptic Hall algebras, super Yang-Mills theory, Betti quantum geometric Langlands, and Hilbert schemes. As each of these topics constitutes a specialist field in its own right, it is essential that we bring researchers together to exchange ideas and insights.

In the week preceding this workshop, there will be a five-day residential summer school for junior participants, primarily aimed at Ph.D. students and post-docs. This will provide participants the necessary background material to comprehend and engage with the talks in the research conference.

This workshop is organised in partnership with the European Research Council and the National Science Foundation. It is partially supported by the NSF, Division of Mathematical Sciences.

Programme:

The programme is shown below. Abstracts are available here.

Links to videos of all recorded talks, photos from the conference dinner, group photos, and lecture notes and slides where applicable are available here.

 

Monday 10 June 2019


09:00-09:45

Registration & coffee

09:45-10:00

Welcome & opening

10:00-11:00

Catharina Stroppel (University of Bonn)
DAHA actions on fusion rings

11:10-12:10

Mina Aganagic (University of California, Berkeley)
Knot categorification from geometry and mirror symmetry, via string theory

12:10-14:00

Lunch

14:00-15:00

Sergei Gukov (California Institute of Technology)
New TQFTs from DAHA

15:00-16:00

Tea & coffee

16:00-17:00

Claudia Scheimbauer (Norwegian University of Science and Technology)
En-algebras, extended topological field theories and dualizability

17:00-19:00

Wine & whisky reception

 

Tuesday 11 June 2019


09:00-10:00

Sam Gunningham (University of Edinburgh)
q-Character sheaves and Springer theory

10:00-10:30

Tea & coffee

10:30-11:30

Adrien Brochier (IMJ-PRG, Université Paris-Diderot)
Quantization of character varieties, topological field theories and the Riemann-Hilbert correspondence

11:40-12:40

Harold Williams (University of California, Davis)
Canonical bases for Coulomb branches

12:40-14:30

Lunch

14:30-15:30

Anton Mellit (University of Vienna)
$A_{q,t}$ algebra as a partially symmetrized DAHA and computations of knot invariants

15:30-16:00

Tea & coffee

16:00-17:00

Du Pei (Caltech, Aarhus University)
New TQFTs from DAHA (Part 2)

 

Wednesday 12 June 2019


09:00-10:00

John Francis (Northwestern University)
Moduli of stratifications and factorization homology

10:00-10:30

Tea & coffee

10:30-11:30

Constantin Teleman (University of California, Berkeley)
Coulomb branches, passée topology and non-polarizable matter

11:40-12:40

Alexei Oblomkov (University of Massachusetts)
Dualisable link homology and 3D TQFT

12:40-12:50

Group photo

12:50 onwards

Free afternoon

19:00

Workshop dinner at Playfair Library, Old College, South Bridge  

 

Thursday 13 June 2019


09:00-10:00

Fabian Haiden (University of Miami)
Legendrian skein algebras and Hall algebras

10:00-10:30

Tea & coffee

10:30-11:30

Yuri Berest (Cornell University)
Perverse sheaves, contact homology and cubical approximations

11:40-12:40

Noah Snyder (Indiana University)
Local topological field theories with values in Morita categories

12:40-14:30

Lunch

14:30-15:30

Dimitri Wyss (Sorbonne Université)
Non-archimedean integrals on the Hitchin fibration

15:30-16:00

Tea & coffee

16:00-17:00

Pavel Safronov (University of Zurich)
R-matrices with a spectral parameter via shifted Poisson structures

 

Friday 14 June 2019


10:00-11:00

Ivan Cherednik (University of North Carolina at Chapel Hill)
DAHA superpolynomials for iterated links

11:00-11:30

Tea & coffee

11:30-12:30

Tudor Dimofte (University of California, Davis)
3d mirror symmetry and HOMFLY-PT homology

12:30-14:30

Lunch

14:30-15:30

Pavel Etingof (MIT)
Short star-products for filtered quantizations

15:40-16:40

Andrei Negut (MIT)
The PBW basis of the quantum toroidal algebra

16:40

End of workshop

 

ICMS does NOT use third parties to arrange accommodation.  If you are approached by a third party (e.g. Business Travel Management) asking for booking details, please ignore.  If you have any concerns please contact ICMS.

Participation


Invited speakers were sent an email invitation from ICMS in early February. The deadline for applications for the workshop has passed and all applicants have been informed of decisions. We are unable to accept late applications.