Stéphane Guillermou - Microlocal sheaf theory and symplectic geometry
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2017-06-14

Abstract:
The microlocal theory of sheaves has been introduced and developed by Kashiwara and Schapira in the 80’s, with motivations coming from the theory of D-modules.  It has been applied some years ago to the study of symplectic geometry of cotangent bundles in papers of Nadler-Zaslow and Tamarkin. I will explain some results of these papers and subsequent works, in particular how we can associate a sheaf with any Hamiltonian isotopy of a cotangent bundle and how we can use such a sheaf to understand the topology of exact Lagrangian submanifolds.