On the interplay between horizontal and vertical derivation

Nicola Gigli

(IMJ - UPMC)

Event: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

Date: Oct 10, 2011, time: 15:30

Place: Centro De Giorgi, Scuola Normale Superiore

Abstract. I will talk about some recent developments on the interplay between the \(L^2\) and \(W_2\) geometries. Results include the possibility of studying the continuity equation in a genuine metric framework, and the identification of the heat flow as gradient flow in spaces with Ricci curvature bounded from below.