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Hecke algebras and TQFT
Special Events| Speaker: | Vladimir Fock, Université de Strasbourg |
| Related Webpage: | https://irma.math.unistra.fr/~fock/ |
| Location: | 2112 MSB |
| Start time: | Tue, Oct 24 2023, 10:00AM |
We propose a simple construction of 2D topological (open-closed) quantum field theory based on Iwahori-Hecke algebras. There exists a simple formula for partition functions of this theory. These quantities can be interpreted either as a q-analogues of Hurwitz numbers (number of coverings of a surface) as well as a number of points of framed local systems on a surface over a finite field.
Professor Fock's visit is supported by NSF-FRG: Collaborative Research: Complex Lagrangians, Integrable Systems, and Quantization (DMS-2152257).