Colloquium abstracts

Cedric Villani
Institut Henri Poincare, France
August 18, 2016

Synthetic theory of Ricci curvature:  The unexpected meeting of optimal transport theory, information theory and Riemannian geometry led to the development of a much awaited synthetic theory of (nonsmooth) Ricci curvature bounds, over the past 15 years. Strong results were recently obtained in this field by a number of authors. Let us introduce and review the subject.