Geometric Analysis Seminar —— Fill-in Estimate with Scalar Curvature bounded from Below
报告人：王一芃(哥伦比亚大学)
时间：2025-10-22 09:00-10:00
地点：online
【摘要】
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.
【报告人简介】
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: 897 9777 1251 Password: 153144
