Green's function estimates and applications

任课教师 Speaker:王嘉平
时间 Time: 每周一、周三15:20-16:55,2019-5-20 ~ 8-14
地点 Venue:清华大学近春园西楼第一会议室

课程描述 Description

As the fundamental solution to the Poisson equation, Green’s function is one of the most important objects associated with the Laplacian. This course will focus on the estimates of the Green’s function on complete Riemannian manifolds with positive spectrum. Various applications to the geometry and topology will also be discussed. We will start from the very basics including the existence of Green’s function and try to make the course as self-contained as possible.

预备知识 Prerequisites

Riemannian Geometry and some basic knowledge of geometric analysis.

参考资料 References

Geometric Analysis by Peter Li; Cambridge Studies in Advanced Mathematics 134; Cambridge University Press, 2012.