06-25【胡京辰】Local Regularity of Geodesics in the Space of Kahler Potentials

发布时间:2021-06-16来源:几何与物理研究中心中文网页浏览次数:42

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.