数学科学研究所
Insitute of Mathematical Science

Seminar: Regularity of Geodesic in Space of Kahler Potentials

Seminar | Institute of Mathematical Sciences


Time3:00pm-4:00pm, Sep 27, Thursday

LocationRoom 302, Library


Speaker: Jingchen Hu, IMS, ShanghaiTech University


Abstract: In this talk I will present our result on regularity of geodesics in space of kahler potentials. 

First I will introduce the notion of space of kahler potentials, and derive  equation  of geodesics in this space. And show that the problem of finding a geodesic connecting two points in this space can be reduced to a Dirichlet problem of Homogenous complex Monge-Ampere equation on the product of an infinite strip and the manifold. Then after listing some former result on this topic, our resutlt will be presented: that given two potentials close enough to each other, they can be connected by a geodesic of high regularity. I will briefly discribe the proof and provide exampls  showing the result is optimal.


地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)