2019
Nov
07

# Colloquium: Boaz Klartag (Weizmann) - Needle decomposition and Ricci curvature

2:30pm to 3:30pm

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem

Title: Needle decomposition and Ricci curvature

Abstract: 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.

Abstract: 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.