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Department of Mathematics Seminars and Talks

 
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Seminar

Geometry & Topology

Talk Information
Title
Sharp bounds and rigidity for volumes of boundaries of spaces with lower curvature bounds

by Vitali Kapovitch (University of Toronto)

Start date and time
16:10 on Monday October 20, 2025
Duration in minutes
50 (until 17:00 on Monday October 20, 2025)
Room
BA6183, Bahen Center, 40 St. George St.
Streaming link
Streaming password
External video link
Talk link
https://seminars.math.toronto.edu/pages/seminars?case=view_talk&talk_id=1760991000-1759691471-809
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 and sectional curvature bounded below.

This is joint work with Qin Deng.

Speaker Information
Full Name
Vitali Kapovitch
Personal website
https://www.math.utoronto.ca/vtk/
Institution
University of Toronto
Institution URL
Department of Mathematics, University of Toronto