The University of Arizona
Please note that this event has ended!

Extension, separation and isomorphic reverse isoperimetry

Mathematics Colloquium

Extension, separation and isomorphic reverse isoperimetry
Series: Mathematics Colloquium
Location: ONLINE
Presenter: Assaf Naor, Princeton

In the Lipschitz extension problem we are given a pair of metric spaces X,Y and ask for the smallest K such that for any subset A of X every L-Lipschitz mapping from A to Y can be extended to a KL-Lipschitz mapping from X to Y. Most of this talk will be devoted to an introductory overview of part of the large amount of knowledge that has accumulated on this question over the past century, and its multifaceted connections to various mathematical areas. We will also explain longstanding mysteries that remain open despite major efforts, and describe recent progress that relates the Lipschitz extension problem to the question of reversing the classical isoperimetric inequality.