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Tamed Spaces: Dirichlet Spaces with Distribution-Valued Ricci Bounds

Offered By: Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Tags

Ricci Curvature Courses

Course Description

Overview

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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.

Syllabus

Chiara Rigoni - Tamed spaces - Dirichlet spaces with distribution-valued Ricci bounds


Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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