Convexity Seminar

---

(at 12:45pm) Caffarelli Contraction Theorem: old and new

Speaker: Guido De Philippis, NYU Courant

Location: Warren Weaver Hall 1314

Date: Thursday, May 8, 2025, 12:45 p.m.

Synopsis:

Caffarelli contraction theorem asserts that if a measure is "more" log-concave then the Gaussian, then there always exists a 1-Lipschitz map transporting it to the Gaussian. This allows for transferring various functional inequalities valid for the Gaussian measure to other measures. In this  talk I will  revise the theorem and some of its proof and show some recent improvements we have been obtained recently in collaboration with Yair Shenfeld and their applications.