Dimension-Independent Functional Inequalities on Sub-Riemannian Manifolds

Explore recent advancements in gradient estimates, reverse Poincaré, and reverse log Sobolev inequalities on sub-Riemannian manifolds in this 58-minute lecture. Delve into the fundamentals of sub-Riemannian manifolds, including their metric structure, and discover alternative techniques used in the absence of curvature bounds. Learn about collaborative research findings from Gordina, Baudoin, Luo, and Sarkar, gaining insights into dimension-independent functional inequalities in this specialized mathematical domain.