Periodic symplectic cohomologies

Princeton/IAS Symplectic Geometry Seminar
Topic:Periodic symplectic cohomologies
Speaker:Jingyu Zhao
Affiliation:Columbia University
Date:Friday, May 1
Time/Room:1:30pm - 2:30pm/S-101
Video Link:http://video.ias.edu/puias/2015/0501-JingyuZhao

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.