Home /  Riemannian Geometry: Super-Ricci flows of metric measure spaces

Seminar

Riemannian Geometry: Super-Ricci flows of metric measure spaces March 08, 2016 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Karl-Theodor Sturm (Universität Bonn)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

A time-dependent family of Riemannian manifolds is a super-Ricci flow if  2 Ric + \partial_t g \ge 0.

This includes all static manifolds of nonnegative Ricci curvature as well as all solutions to the Ricci flow equation.

We extend this concept of super-Ricci flows to time-dependent metric measure spaces. In particular, we present characterizations in terms of dynamical convexity of the Boltzmann entropy on the Wasserstein space as well in terms of Wasserstein contraction bounds and gradient estimates. And we prove stability and compactness of super-Ricci flows under mGH-limits.

No Notes/Supplements Uploaded No Video Files Uploaded