Note special time and room.
Title: Calabi-Yau structures on microlocal sheaves
Abstract: Microlocal sheaf theory on manifolds was developed by Kashiwara and Schapira. By Nadler-Zaslow and Ganatra-Pardon-Shende, they give topological models for certain Fukaya categories. In this talk, we consider the category of sheaves with Lagrangian microsupport and microlocal sheaves in the unit cotangent bundle, and show a version of the Poincaré-Lefschetz duality. Moreover, we show that the relative fundamental class admits an S^1-invariant lift to the S^1-invariant Hochschild homology. If time permits, we will also discuss the relation with Kashiwara-Schapira’s characteristic cycle map. This is joint work with Chris Kuo.
Eric Zaslow
(847) 467-6447
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