Recent results in analysis on metric measure spaces

Karl-Theodor Sturm

((University of Bonn)

Event: ERC Workshop on Optimal Transportation and Applications

Date: Oct 31, 2014, time: 11:30

Abstract. We present some recent developments in the geometric analysis on mms and in the study of diffusion operators. Particular topics will be:

* gradient flows for semiconvex functions on mms

* self-improvement of Bochner's inequality and applications to time changes and conformal transformations

* convexification of domains in mms and analysis of Neumann Laplacians.