From Representation Theory to Mathematical Physics and Back: May 31-June 4, 2022

Participant List Holiday Inn Shuttle Workshop scheduleView Videos
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Organized by:

Pavel Etingof (MIT),

Mikhail Khovanov (Columbia University),

Alexander Kirillov (Stony Brook),

Anna Lachowska (EPFL, Switzerland),

Ivan Loseu (Yale),

Andrew Neitzke (Yale),

Joshua Sussan (CUNY Medgar Evers),

Anton Zeitlin (Louisiana State University)

The theme of the meeting is the continued influence of mathematics and physics on each other. In particular, the workshop will highlight progress in the areas of vertex operator algebras, conformal field theory, representation theory of affine Lie algebras, loop groups, and quantum groups.

Advances in positive representations of real quantum groups and their connections to cluster algebras will be reported on.

Recent developments in quantum invariants of 3 and 4-dimensional manifolds coming from mathematical physics and their connections to vertex algebras will also be highlighted.

Categorified quantum groups and link invariants from various representation theoretic, algebraic-geometric, and physical perspectives will also be a focus of the workshop.

This workshop is Organised in partnership with the Clay Mathematics Institute and is also supported by the NSF.

Talk Schedule


Time Title Speaker Location
9:00am Breakfast N/A Simons Center Cafe
10:00am New developments on the small quantum group Anna Lachowska
SCGP 103
11:00am Lunch N/A Simons Center Cafe
1:00pm Diagratification Alistair Savage
SCGP 103
2:00pm Coffee N/A Simons Center Cafe
2:30pm q-opers and the geometric aspects of the Bethe ansatz  Anton Zeitlin SCGP 103
3:30pm Tea Time N/A Simons Center Cafe
4:00pm Fourier transform for perverse schobers and the Algebra of the Infrared. Mikhail Kapranov Zoom
5:00pm N/A SCGP Cafe

Time Title Speaker Location
9:00am Breakfast N/A Simons Center Cafe
9:30am Quantum spin Calogero-Moser systems and the 2D Yang-Mills theory revisited again. Nicolai Reshetikhin Zoom
10:30am Coffee Break N/A Simons Center Cafe
11:00am On Scientific Interactions with Igor: New Developments Samson Shatashvili SCGP 103
12:00pm Lunch N/A Simons Center Cafe
1:45pm Symplectic algebraic geometry and 2-categorification Lev Rozansky SCGP 103
2:45pm N/A Simons Center Cafe
3:00pm Algebras and Black Holes Ed Witten SCGP 103
4:00pm Tea Time N/A Simons Center Cafe
4:30pm Exotic VOAs and Quantum Topology at generic q Sergei Gukov SCGP 103

Time Title Speaker Location
9:30am Breakfast N/A Simons Center Cafe
10:30am Fermionic formulas for the triplet-like algebras Boris Feigin Zoom
11:30am Lunch N/A Simons Center Cafe
1:15pm Symmetric tensor categories in positive characteristic Pavel Etingof SCGP 103
2:15pm N/A Simons Center Cafe
2:30pm TBA Nikita Nekrasov SCGP 103
3:30pm Tea Time N/A Simons Center Cafe
4:00pm Unitary Representations of Simple Groups over Semifields Yongchang Zhu SCGP 103
6:00pm N/A SCGP Cafe

Time Title Speaker Location
9:00am Breakfast N/A Simons Center Cafe
9:30am Springer, Procesi, and Cherednik.  Ivan Losev SCGP 103
10:30am Coffee Break N/A Simons Center Cafe
11:00am Three Birthday Nuggets For Igor Gregory Moore Zoom
12:00pm Lunch N/A Simons Center Cafe
1:45pm Codes, Vertex operators and Topological modular forms – a report on joint work with Gerd Laures Nora Ganter SCGP 103
2:45pm N/A Simons Center Cafe
3:00pm 4D/2D duality and representation theory Tomoyuki Arakawa SCGP 103
4:00pm Tea Time N/A Simons Center Cafe
4:30pm The Eisenstein spectrum Andrei Okounkov SCGP 103

Time Title Speaker Location
9:00am Breakfast N/A Simons Center Cafe
9:30am Link homology: from categories to foams Mikhail Khovanov SCGP 103
10:30am Coffee Break N/A Simons Center Cafe
11:00am Knot categorification from homological mirror symmetry Mina Aganagic ZOOM
12:00pm Lunch N/A Simons Center Cafe
1:30pm Quantum loop groups for general types Andrei Negut SCGP 103
2:30pm N/A Simons Center Cafe
2:45pm A deformation quantization of moduli spaces of 3-dimensional gravity
Hyun Kyu Kim SCGP 103
3:45pm N/A Simons Center Cafe
4:00pm On representation theory and mathematical physics: some remarks Igor Frenkel SCGP 103