MS Seminar (Mathematics - String Theory)

Speaker: Sheel Ganatra (Stanford U)
Title: Symplectic cohomology and duality for the wrapped Fukaya category
Date: Tue, Jul 23, 2013, 13:15 - 14:45
Place: Seminar Room A
Abstract: To an exact symplectic manifold M, one can two important Floer-theoretic invariants: symplectic cohomology SH^*(M) and the wrapped Fukaya category W(M). We will explain how, when M contains enough Lagrangians, the natural geometric open-closed string maps between the Hochschild homology of W(M), symplectic cohomology, and the Hochschild cohomology of W(M) are all isomorphisms. The induced isomorphism between Hochschild homology and cohomology is an instance of a new self-duality for the wrapped Fukaya category, a non-compact version of a Calabi-Yau structure.