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Some smooth applications of non-smooth Ricci curvature lower bounds

Andrea Mondino
Institution: 
University of Warwick
Location: 
Luigi Stasi Seminar Room, ICTP
Schedule: 
Tuesday, January 8, 2019 - 14:30
Abstract: 

After a brief introduction to the synthetic notions of Ricci curvature lower bounds in terms of optimal transportation, due to Lott-Sturm-Villani, I will discuss some applications to smooth Riemannian manifolds (joint work with Fabio Cavalletti, SISSA).

These include: rigidity/stability of the Levy-Gromov inequality and an almost euclidean isoperimetric inequality motivated by the celebrated Perelman’s Pseudo-Locality Theorem for Ricci flow.

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