Talk page

Title:
On Gromov’s dihedral extremality and rigidity conjectures

Speaker:
Zhizhang Xie

Abstract:
Gromov’s dihedral extremality and rigidity conjectures concern comparisons of scalar curvature, mean curvature and dihedral angle for manifolds with corners (and more generally manifolds with polyhedral boundary). They have very interesting consequences in geometry and mathematical physics. The conjectures themselves can in some sense be viewed as “localizations” of the positive mass theorem. In this talk, I will explain some recent work on positive solutions to these conjectures. The talk is based on my joint papers with Jinmin Wang and Guoliang Yu.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=5325

Workshop:
Simons- Workshop: Recent Advances on Scalar Curvature Problems