Isoperimetric inequalities in non-smooth spaces with Ricci curvature bounded below
par
Andrea Mondino(University of Warwick)
→
Europe/Paris
Fokko Du Cloux (Université Claude Bernard Lyon 1 - Campus de la Doua, Bâtiment Braconnier)
Fokko Du Cloux
Université Claude Bernard Lyon 1 - Campus de la Doua, Bâtiment Braconnier
Description
In the first part of the talk I will recall the notion of Ricci curvature lower bounds in non-smooth spaces via optimal transport introduced by Lott-Sturm-Villani, then I will discuss some basic properties of such spaces and finally I will discuss the non-smooth extension of the celebrated Levy-Gromov isoperimetric inequality.