Title：Local Regularity of Geodesics in the Space of Kahler Potentials

Speaker：胡京辰  （上海科技大学） 

Time：2021年6月25日，周五，  上午  10:00-11:30 

Room：东区物质科研楼 C1124

Abstract：The geodesic equation in the space of Kahler potentials is a homogenous complex Monge-Ampere equation. Because of the degeneracy, for a long time, the regularity of geodesics is limited to low order regularity. In a recent study, following an idea of Donaldson, we relate geodesic problems to Hamiltonian mechanics, and proved that, in some special region geodesic is $C^\infty$ smooth.