Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Geometries

Explore a groundbreaking approach to unifying Riemannian and sub-Riemannian geometries through synthetic Ricci curvature lower bounds in this 45-minute conference talk by Davide Barilari at the Erwin Schrödinger International Institute for Mathematics and Physics. Delivered as part of the Workshop on "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension," delve into recent advances in metric measure spaces and sub-Riemannian geometries that suggest the possibility of a comprehensive framework. Examine the proposed new approach based on the study of gauge metric measure spaces, aiming to achieve a "great unification" of these geometric theories. Gain insights into this collaborative work with Andrea Mondino and Luca Rizzi, pushing the boundaries of our understanding of curvature in diverse geometric settings.

Davide Barilari - Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian..