{十大滚球体育APP入口最新版下载 - {十大滚球体育APP入口

Abstract

A central problem in differential geometry is understanding how the geometry of a boundary determines the geometry of its interior. Gromov's fill-in problem suggests that when a closed Riemannian manifold is filled with a region of large curvature, the extrinsic curvature of the boundary must be bounded above in some sense. The fill-in problem, particularly in the context of scalar curvature, is closely related to certain notions of quasi-local mass in general relativity. In this talk, I will discuss some recent progress on the scalar curvature fill-in problem under the hyperbolic setting. 延伸阅读

Biography

I am a 4th-year Ph.D. student at Columbia University, under the guidance of Professor Simon Brendle. My research interests lie in geometric analysis and various aspects of differential geometry. Currently, I am focused on investigating problems related to minimal surfaces and the geometry of manifolds with positive scalar curvature.

Zoom meeting

Link ID: 897 9777 1251  Password: 153144