Sharp bounds and rigidity for volumes of boundaries of Alexandrov spaces
| When | Wednesday, December 9, 2026, 12:20 pm - 1:30 pm |
|---|---|
| Where | 114 McAllister |
| Speaker | Vitali Kapovitch (zoom), University of Toronto |
| Contact | Rachel Weaver, Dmitri Burago, Anton Petrunin, Jeffrey Case, Dawit Mengesha |
Abstract
We obtain sharp volume bounds on the boundaries of Alexandrov spaces with given lower curvature bound, dimension, and radius.
We also completely classify the rigidity case and analyze almost rigidity.
Our results are new even for smooth manifolds with locally convex boundary.