Geometric Representation Theory, Integrability, and Supersymmetric Gauge Theories: September 26 – September 30, 2022

Participant ListWorkshop ScheduleShuttle Schedule

Organized by:

Peter Koroteev (University of California, Berkeley), Elli Pomoni (DESY), Benoit Vicedo (University of York), Dmytro Volin (NORDITA), Anton Zeitlin (Louisiana State University)

Recent progress in the study of supersymmetric gauge theories provided nontrivial relations between various aspects of modern representation theory. That involves quantum groups and related integrable models which appear in different areas of theoretical physics, the geometry of symplectic resolutions and symplectic duality/3d mirror symmetry, as well as the geometric Langlands correspondence.

The goal of this workshop is to bring together experts in mathematics and theoretical physics, which will lead to further progress in the aforementioned topics and beyond.

This workshop is also part of the program: Geometric and Representation-Theoretic Aspects of Quantum Integrability: August 29-October 21, 2022 

Talk Schedule


Time Title Speaker Location
9:30am On the log Kazhdan–Lusztig correspondence Gurbir Dhillon SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Global symmetry breaking and defect conformal manifolds Nadav Drukker SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Foam evaluation and its uses in categorification and representation theory Mikhail Khovanov SCGP 102
2:30pm One flew over the QQ-nest Nikita Nekrasov SCGP 102
3:30pm Tea N/A SCGP Cafe

Time Title Speaker Location
9:30am Spin chains for 4D N=2 SCFTs Elli Pomoni SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am New U_q sl(2)-invariant boundary conditions for the XXZ spin chain Azat Gainutdinov SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Integrable systems related to quantum toroidal algebras Evgeny Mukhin SCGP 102
2:30pm Exponential integrals, wall-crossing structures and Chern-Simons theory. Yan Soibelman Zoom
3:30pm Tea N/A SCGP Cafe
4:00pm Developing the quantum q-Langlands program Nathan Haouzi SCGP 102

Time Title Speaker Location
9:30am S-duality for boundary conditions coming from Lie super-algebras. Alexander Braverman SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am The chromatic Lagrangian and its quantization Gus Schrader Zoom
12:00pm Lunch N/A SCGP Cafe
1:15pm Gauge-theoretic realization of a geometric approach to quantum integrability Mykola Dedushenko SCGP 102
2:30pm Motivic superpolynomials and LGSM for singularities
Ivan Cherednik Zoom
3:30pm Tea N/A SCGP Cafe
4:00pm Meromorphic connections on the projective line with specified local behavior Daniel Sage SCGP 102

Time Title Speaker Location
9:30am BGG-type relations for transfer matrices of rational spin chains and the shifted Yangians Oleksandr Tsymbaliuk Zoom
10:30am Coffee Break N/A SCGP Cafe
11:00am Bethe subalgebras and Kirillov-Reshetikhin crystals Leonid Rybnikov SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Equivariant Hikita-Nakajima conjecture for ADHM spaces Vasily Krylov SCGP 102
2:30pm Stable envelopes and local systems. Andrey Smirnov SCGP 102
3:30pm Tea N/A SCGP Cafe

Time Title Speaker Location
9:30am Symplectic grouped and log-canonical parameters for closed genus 2 surfaces. Michael Shapiro SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Simplicity of spectra for Bethe subalgebras Aleksei Ilin Zoom
12:00pm Lunch N/A SCGP Cafe
1:15pm Stokes phenomena, Poisson-Lie groups and quantum groups Valerio Toledano Laredo Zoom
2:30pm Fused geometry of Bethe Algebra Dmytro Volin SCGP 102
3:30pm Tea N/A SCGP Cafe
4:00pm EGL formula for PT theory of local curves Alexei Oblomkov SCGP 102