Functional inequalities in convexity and metric geometry

Alexandros Eskenazis, Princeton University
Fine Hall 110

In this talk we will present a selection of both classical and recent results from convex and metric geometry and explain how they follow from 
well-studied functional inequalities. Examples may include isoperimetric inequalities, lower bounds on the bi-Lipschitz distortion of discrete 
metric spaces into Banach spaces, geometric properties of expander graphs and large scale properties of Alexandrov spaces of bounded curvature.