Featured Speaker :  Alexander Kolesnikov , HSE

 Title : Blaschke--Santalo inequality for many functions and geodesic barycenters of measures.

 Abstract:  Motivated by the geodesic barycenter problem from optimal transportation theory, we prove a natural generalization of the Blaschke–Santalo inequality for many sets and many functions. We derive from it an entropy bound for the total Kantorovich cost appearing in the barycenter problem.

The talk is based on joint works with Elisabeth Werner.