Speaker: Dr. Tong Zhou (MIT)

Title: The microlocal theory of constructible sheaves

Time: 14:00-16:30  July 27, 2026 (Monday)

Place: MCM110

Abstract: The microlocal point of view says that the study of an object on a manifold benefits from systematic constructions involving the cotangent bundle. It was introduced by M. Sato in the 1960s in the field of partial differential equations, and has since spread to many other fields. In the main talk, I will introduce the basic ingredients of the microlocal theory of sheaves on manifolds as developed by M. Kashiwara and P. Schapira, then discuss developments and open questions in the analogous theories in the positive characteristic algebraic context and the non-Archimedean analytic context. There will be a pedagogical talk before the main one, where relevant notions like nearby and vanishing cycles, local acyclicity, and constructible sheaves will be discussed.