Speaker: 朱锦天 (北京大学)

Time： Jan. 03, 15:00-17:00

Place： #腾讯会议：156-912-827 会议密码：无

Title： Gauss-Bonnet inequality beyond the aspherical conjecture

Abstract:  In this talk, I will make a discussion on recent progress in the research of scalar curvature. I’ll first 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” two, then either it is flat or its Gauss-Bonnet quantity is no greater than $8\pi$.