Noncommutative Geometry Seminar
Date: April 1, 2022
Time: 08:00AM - 09:00AM
Location: ZOOM
Speaker: Zhizhang Xie, Texas A&M University
Title: Comparisons of scalar curvature, mean curvature and dihedral angle, and their applications
Abstract: In this talk, I will review Gromov’s dihedral extremality and rigidity conjectures regarding comparisons of scalar curvature, mean curvature and dihedral angle for compact manifolds with corners. These conjectures have profound implications in geometry and mathematical physics such as the positive mass theorem. I will explain the recent work on positive solutions to these conjectures, and some related applications (such as a positive solution to the Stoker conjecture). The talk is based on my joint works with Jinmin Wang and Guoliang Yu.
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