Abstract for the talk at 04.12.2007 (16:45 h)

Giuseppe Savare (Universita degli Studi di Pavia)

Generation of gradient flows in metric spaces with lower curvature bounds

We discuss some recent results concerning the generation of gradient flows for geodesically convex functionals in metric spaces satisfying lower bounds on their curvature. Applications are given to the Wasserstein space of probability measure and to the construction of diffusion semigroups in metric-measure spaces with Ricci curvature bounded from below.