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Dimension-independent functional inequalities on sub-Riemannian manifolds

By Masha Gordina

The talk will review recent results on gradient estimates, reverse Poincare and reverse log Sobolev inequalities on a class of sub-Riemannian manifolds. As for many of such setting curvature bounds are not available, we use different techniques. I will introduce the basics of sub-Riemannian manifolds including their metric structure. Joint work with F. Baudoin, L. Luo and R. Sarkar.

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