Wednesday, September 11th, 2019
03:00pm - 04:00pm, in Campus Center 2-2540

Dmitry Tonkonog

Harvard University

Floer theory and rigid subsets of symplectic manifolds

Abstract: Suppose we are given a symplectic manifold. What general things can we say about the dynamics of its symplectomorphisms? A classical way to explore this question is to find rigid subsets: subsets that cannot be displaced from themselves by any symplectomorphism. This has inspired many developments in Floer theory, including recent ones. I will survey the topic, and prove that Lagrangian skeleta of divisor complements of Calabi-Yau manifolds are rigid. This partially reports on joint work with Umut Varolgunes, as well as other things I learned from him.