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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Kyoto Symplectic Seminar
https://sites.google.com/view/kyoto-symplectic/