Chris Kuo, USC

Abstract: A correspondence between wrapped Fukaya categories and certain sheaf-theoretic categories was established by Ganatra, Pardon, and Shende. It is expected that this correspondence admits certain refinement. In this talk, I will explain the sheaf-theoretic part of this refinement. That is, the sheaf quantization construction developed by Guillermou, Kashiwara, and Schapira, allows one to define the notion of isotopies for sheaves. I will use this notion to define the category of wrapped sheaves whose construction parallels that of wrapped Fukaya categories and define a comparison functor which identifies them to the sheaf-theoretic categories mentioned above.