Tamed Spaces: Dirichlet Spaces with Distribution-Valued Ricci Bounds

Explore the theory of tamed spaces in this 38-minute conference talk from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into Dirichlet spaces with distribution-valued lower bounds on Ricci curvature, examined from an Eulerian perspective. Learn about singular perturbations of Dirichlet form by a broad class of distributions and discover how the distributional Ricci bound is formulated using an integrated version of the Bochner inequality. Understand how this approach generalizes the well-known Bakry-Émery curvature-dimension condition. Gain insights from the collaborative work of M. Erbar, K.-T. Sturm, L. Tamanini, and the speaker on this advanced mathematical topic.