Several geometric problems and geometric PDEs in differential geometry

When

April 5, 2024 | 2:30 p.m. – 3:30 p.m.
Refreshments provided

Where

University Hall 4002

Speaker

Junfang Li

Abstract

This is a general talk on several interesting geometric problems and is accessible to students. We will focus on some basic geometric concepts such as surface area, volume, symmetric curvatures, total curvatures and discuss their relations. The main results will be around sharp geometric inequalities such as isoperimetric inequalities for quermassintegral inequalities (parabolic PDEs), prescribing curvature problems (Elliptic PDEs), and rigidity problems (parabolic and elliptic PDEs).