Starts 8 Jan 2019 14:30
Ends 8 Jan 2019 15:30
Central European Time
ICTP
Leonardo Building - Luigi Stasi Seminar Room
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.