Arbeitsgemeinschaft: Optimal Transport and Geometry

  • Felix Otto

    MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany
  • Karl-Theodor Sturm

    Universität Bonn, Germany

Abstract

This Arbeitsgemeinschaft was devoted to recent developments in optimal transport with emphasis on links and applications to geometry. The topics reached from the origin of optimal transport as a variational problem, where one minimizes a transportation cost when transporting one density into another, over the introduction of a metric on the space of probability measures, leading to the Wasserstein-space and convex funtionals on it, to the connection between Ricci-curvature and the optimal mass transport problem.

Cite this article

Felix Otto, Karl-Theodor Sturm, Arbeitsgemeinschaft: Optimal Transport and Geometry. Oberwolfach Rep. 6 (2009), no. 2, pp. 983–1018

DOI 10.4171/OWR/2009/18