Talk

On the interplay between horizontal and vertical derivation

  • Nicola Gigli (Université de Nice Sophia-Antipolis)
A3 01 (Sophus-Lie room)

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.

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