30 mar 2021 -- 14:30 [open in google calendar]
Please write to Andrea.email@example.com or to Andrea.firstname.lastname@example.org if you want to attend the seminar.
The goal of the talk is to discuss a proof of the Levy-Gromov inequality for metric measure spaces (joint with Cavalletti), a quantitative version of the Levy- Gromov isoperimetric inequality (joint with Cavalletti and Maggi) as well as other geometricfunctional inequalities (joint with Cavalletti and Semola). Given a closed Riemannian manifold with strictly positive Ricci tensor, one estimates the measure of the symmetric difference of a set with a metric ball with the deficit in the Levy- Gromov inequality. The results are obtained via a quantitative analysis based on the localisation method via L1-optimal transport.