Dimension-Independent Functional Inequalities on Sub-Riemannian Manifolds

Explore dimension-independent functional inequalities on sub-Riemannian manifolds in this 45-minute conference talk by Maria (Masha) Gordina at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into recent results on gradient estimates, log Sobolev inequalities, and reverse Poincaré inequalities for a class of sub-Riemannian manifolds. Discover alternative techniques such as tensorisation and taking quotients, employed due to the absence of curvature bounds in many settings. Learn about the collaborative work with F. Baudoin, L. Luo, and R. Sarkar as part of the Workshop on "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension."

Maria (Masha) Gordina - Dimension-independent functional inequalities on sub-Riemannian manifolds