Speaker：Jintian Zhu（Peking University）

Time：2023-3-7, 10:10

Location：Tencent Meeting ID：859-772-689（No Password）

Abstract:

In this talk, I'll make a discussion on recent progress in the research of scalar curvature. I'll review the backgrounds from Gauss-Bonnet formula to the aspherical conjecture, and then focus on the following Gauss-Bonnet inequality: if the universal covering of a closed manifold with nonnegative scalar curvature has ``homological dimension no greater than two'', then either it is flat or its Gauss-Bonnet quantity is no greater than $8\pi$.