Optimal transport, Ricci curvature lower bounds and group actions

16 November 2020
14:15
Andrea Mondino
Abstract

In the talk I will survey the fast growing field of metric measure spaces satisfying a lower bound on Ricci Curvature, in a synthetic sense via optimal transport. Particular emphasis will be given to discuss how such (possibly non-smooth) spaces naturally (and usefully) extend the class of smooth Riemannian manifolds with Ricci curvature bounded below.

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  • Geometry and Analysis Seminar