Tamed spaces - Dirichlet spaces with distribution-valued Ricci bounds

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Description

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.
This talk is based on a joint work with M. Erbar, L. Tamanini and K.-T.
Sturm.
Period8 Aug 2023
Event titleGeometry and Probability 2023
Event typeSeminar/Workshop
LocationJapanShow on map