14 dec 2011 -- 17:00 [open in google calendar]
Sala Seminari, Department of Mathematics, Pisa University
We discuss the definitions given by Lott and Villani and by Sturm of lower Ricci-curvature bounds in metric spaces via mass transportation. We show how local Poincaré inequalities can be obtained from these lower bounds. Previously such results were known to be true only under the extra assumption that the space is non-branching.