数学科学研究所
Insitute of Mathematical Science

Seminar:Orbifold Lagrangian Floer theory and Hecke algebras

Seminar| Institute of Mathematical Sciences

Time:Thursday, May 15th, 2025,13:30-14:30

Location:IMS, RS408

Speaker:Tianyu Yuan, Eastern Institute of Technology, Ningbo

  

Abstract:Let G be a finite group acting on X. We show that the wrapped Fukaya algebra of a generic fiber of T^*(X/G) is isomorphic to the Hecke algebra associated to X/G. The key ingredient in defining such orbifold Floer theory is the global Kuranishi chart developed by Abouzaid-Mclean-Smith and Bai-Xu. This is joint work in progress with Ko Honda, Roman Krutowski, and Yin Tian.


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