5 p.m.
TU Berlin, Room MA 004, Straße des 17. Juni 136, 10623 Berlin
Karl-Theodor Sturm (Universitaet Bonn)

Gradient flows, heat equation, and Brownian motion on time-dependent metric measure spaces

We study the heat equation on time-dependent metric measure spaces (being a dynamic forward gradient flow for the energy) and its dual (being a dynamic backward gradient flow for the Boltzmann entropy). Monotonicity estimates for transportation distances and for squared gradients will be shown to be equivalent to the so-called dynamical convexity of the Boltzmann entropy on the Wasserstein space.