Title: Symplectic Morse Theory and Witten Deformation
Speaker: Xiang Tang
Institution: Washington University in St. Louis, USA
Date & Time: August 8, 2024, 9:00–11:00
Location: Zoom ID: 904 645 6677, Password: 2024
This talk introduces a Morse-type cohomology for symplectic manifolds, constructed via gradient flows and integration of the symplectic form over spaces of gradient flow lines. We study this
symplectic Morse cohomology using the Witten deformation method. In particular, we show that it is isomorphic to the cohomology of differential forms introduced by Tsai, Tseng, and Yau for symplectic manifolds. The results are based on joint work with David Clausen and Li-Sheng Tseng.
Xiang Tang is a Professor in the Department of Mathematics at Washington University in St. Louis, USA. He earned his bachelor’s degree from Peking University in 2000 and his PhD from the University of California, Berkeley in 2004. In 2023, he was elected a Fellow of the American Mathematical Society (AMS). His research focuses on symplectic geometry, algebraic topology, and mathematical physics.
