Speaker
Charles Bertucci
Description
I will distinguish two geometries on Wasserstein spaces, one coming from the linear structure of signed measures, and one coming from the geometry of the base space. I will explain why a Radon-Nikodym property holds in both geometries, and draw their usual consequences. I will then spend some time explaining what I believe are natural expression of two "geometric" objects in this second geometry: martingales and tangent spaces.