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### Needle Decompositions in Riemannian Geometry

**Colloquium**

Speaker: | Bo'az Klartag, Tel Aviv University |

Location: | 1147 MSB |

Start time: | Mon, Nov 27 2017, 4:10PM |

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 how one may construct them by using optimal transportation with the linear cost, under lower bounds on the Ricci curvature.

There will be a colloquium tea at 3:30pm in the math department lobby.