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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
演讲者
Yu Leon Liu
时间
2025年03月18日 09:45 至 11:30
地点
A3-2-301
线上
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(BIMSA)
摘要
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.