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BIMSA TQFT and Higher Symmetries Seminar
Braided monidal $(\infty,2)$-category of Soergel bimodules
Braided monidal $(\infty,2)$-category of Soergel bimodules
Organizers
Speaker
Yu Leon Liu
Time
Tuesday, March 18, 2025 9:45 AM - 11:30 AM
Venue
A3-2-301
Online
Zoom 468 248 1222
(BIMSA)
Abstract
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard canon of topological quantum field theories in dimension 3 and 4. We provide the first categorification of this Hecke braided monoidal category. This categorification is designed to control homotopy-coherent link homology theories and to-be-constructed topological quantum field theories in dimension 4 and 5.
In this talk we will define this categorification by using type A Soergel bimodules, and construct its braided monoidal structure.
In this talk we will define this categorification by using type A Soergel bimodules, and construct its braided monoidal structure.