Lecture on "Homological n-Systole in (n+1)-Manifolds and Bi-Ricci Curvature"

November 26, 2024

Speaker: Zhu Jintian, distinguished research fellow, Institute for Theoretical Sciences, Westlake University

Date: November 26, 2024

Time: 15:00-16:00 pm

Location: B926, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, I will first briefly introduce systolic inequalities from positive curvatures and then present our recent work towards this direction. In detail, we show that if a closed (n+1)-manifold has its-Ricci curvature no less than (n-l), then its homological n-systole is bounded from above by the volume of the standard n-sphere. This is a work joint with Prof. Jianchun Chu from Peking University and Prof. Man-Chun Lee from CUHK.

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https://www.view.sdu.edu.cn/info/1020/197429.htm