# Periodic Symplectic Cohomologies

Friday, May 1, 2015 -

1:30pm to 2:30pm

Periodic cyclic homology group associated to a mixed complex was introduced by Goodwillie. In this talk, I will explain how to apply this construction to the symplectic cochain complex of a Liouville domain and obtain two periodic symplectic cohomology theories, which are called periodic symplectic cohomology and finitely supported periodic symplectic cohomology, respectively. The main result is that there is a localization theorem for the finitely supported periodic symplectic cohomology.

Speaker:

Jingyu Zhao

Columbia University

Event Location:

IAS Room S-101