报告人:胡京辰(上海科技大学)
时间:2021年6月25日, 周五,10:00-11:30
地点: 物质科研楼C1124
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.