CRM: Centro De Giorgi
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Optimal Transportation and Applications

Tamed spaces - Dirichlet spaces with distribution-valued Ricci bounds

speaker: Chiara Rigoni (University of Wien)

abstract: In this talk we develop the theory of tamed spaces, which are Dirichlet spaces with distribution-valued lower bounds on the Ricci curvature, and investigate these from an Eulerian point of view. To this end we introduce singular perturbations of Dirichlet form by a broad class of distributions. The distributional Ricci bound is then formulated in terms of an integrated version of the Bochner inequality using the perturbed energy form and generalizing the well-known Bakry-Émery curvature-dimension condition.


timetable:
Thu 27 Oct, 17:15 - 17:40, Aula Magna Bruno Pontecorvo
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