Speaker:Guokuan Shao(Sun Yat-sen University)
Time:16:00-17:30, December 13, 2019
Room:5107,the fifth teaching building
In this talk, we will present recent progress on Morse inequalities. Firstly we give an introduction to the classical result with an outline of a pure analytic proof. Then we talk about one version on CR manifolds by Hsiao-Li. In particular, we deduce Demailly's holomorphic Morse inequalities. Finally we discuss our result on complex manifolds with boundary, in which the upper bounds depend only on the boundary.