Sheaves in contact topology II

Abstract: Microlocal sheaf theory was introduced by Kashiwara-Schapira around 80s. With the notion of micro-support, one can use sheaves on smooth manifolds to access the geometry of their cotangent bundles. In recent years, microlocal sheaf theory entered contact and symplectic topology, and has been used to solve open problems. In this lecture series, we will introduce microlocal sheaf theory in the context of low-dimensional contact topology, and supply the audience with background for its applications such as producing non-classical invariants for Legendrian knots and distinguishing exact Lagrangian fillings.

Lecture 2: invariance $\newline$ Category of sheaves, non-classical invariants for Legendrian submanifolds (theorem by Guillermou-Kashiwara-Schapira), combinatorial verification under Reidemeister moves.

algebraic geometrycombinatoricsdifferential geometrygeometric topologyquantum algebrarepresentation theorysymplectic geometry

Audience: researchers in the topic

Legendrians, Cluster algebras, and Mirror symmetry

Series comments: Schedule
School: January 4–8, 2021
Conference: January 11–15, 2021