Lizhi Chen (Lanzhou University)
Title: Stability of 3-torus with small negative scalar curvature
Abstract: In this talk, we introduce a stability theorem of Riemannian metrics on 3-torus with small negative scalar curvature. By using Stern’s inequality, we show that any sequence of metrics on 3-torus with small negative scalar curvature has a subsequence which converges to some flat metric in the sense of Dong-Song. This is a joint work with Edward Bryden.
Title: Betti number bound without curvature conditions
Abstract: We introduce a curvature free version of Gromov’s total Betti number bound. A generalization will be given. In addition, we introduce a related result of topological complexity.
Time: 10:00, 2026-01-08
Location: R1110 SIMIS
Introduction to the Speaker: Lizhi Chen works at Lanzhou University. His research interests focus on Quantitative Topology and Differential Geometry.
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