EVENT DETAILS AND ABSTRACT

Title: Duality and spherical adjunction for microlocal sheaves
Speaker: Wenyuan Li
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

Consider sheaves on a manifold with Legendrian singular support and microlocal sheaves on the Legendrian. We study the microlocalization along the Legendrian and its left adjoint. Our result says that, when the Legendrian is a full stop or a swappable stop, the sheaf theretic functors form a spherical adjunction, so that twists/cotwists are the monodromy/wrap-once functors. Moreover, we prove that the wrap-once functor is the inverse Serre functor when restricting to the proper subcategories. This is the sheaf theory counterpart of the spherical adjunction for cap and cup functors between Fukaya categories for Landau-Ginzburg models. We will explain how these results follow from the sheaf theory counterpart of the Sabloff duality exact sequence or the Poincare-Lefschetz duality for Fukaya-Seidel categories. This is joint work with Christopher Kuo.