Optimal transport: theory and applications
timetable:
Tue 14 Nov, 15:10 - 16:05, Aula Dini
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seminar: Optimal Transportation, Ricci Curvature and Diffusions on the L2-Wasserstein Space
speaker: Karl-Theodor Sturm (Universität Bonn)abstract:
We introduce and analyze generalized Ricci curvature bounds for metric measure spaces (M,d,m), based on convexity properties of the relative entropy $Ent(\cdot
m)$. For Riemannian manifolds, Curv(M,d,m)\ge K$ if and only if $RicM\ge K $ on $M$; for the Wiener space, $Curv(M,d,m)=1$. One of the main results is that these lower curvature bounds are stable under (e.g. measured Gromov-Hausdorff) convergence. This solves one of the basic problems in this field, open for many years.
timetable:
Tue 14 Nov, 15:10 - 16:05, Aula Dini
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