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Moduli Spaces Program Seminar: Jingyu Zhao, Columbia

Jingyu Zhao, Columbia

Jingyu Zhao, Columbia

Title: Periodic Symplectic Cohomologies
Speaker:  Jingyu Zhao, Columbia
Date: Tuesday, April 22, 2014
Time: 2:30pm-3:30pm
Place: Seminar Room 313, Simons Center




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Abstract: 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.