JournalsowrVol. 6 / No. 2DOI 10.4171/owr/2009/18

Arbeitsgemeinschaft: Optimal Transport and Geometry

  • Felix Otto

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

    Universität Bonn, Germany
Arbeitsgemeinschaft: Optimal Transport and Geometry cover

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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.