Needle decomposition and Ricci curvature

Needle decomposition and Ricci curvature

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Bo'az Klartag, Tel Aviv University
Fine Hall 110

Please note special day and time.   Needle decomposition is a technique in convex geometry, which enables one to prove isoperimetric and spectral gap inequalities, by reducing an n-dimensional problem to a 1-dimensional one. This technique was promoted by Payne-Weinberger, Gromov-Milman and Kannan-Lovasz-Simonovits. In this lecture we will explain what needles are, what they are good for, and why the technique works under lower bounds on the Ricci curvature."