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