Participant List Holiday Inn Shuttle Workshop scheduleView Videos
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 |
