18 may 2005

Abstract.

Colloquio del Dipartimento di Matematica

when: Wednesday, May 18, at 4 pm

where: Dipartimento di Matematica, SALA RIUNIONI (e non Aula Magna)

speaker: Franck Barthe (Universitè Paul Sabatier, Toulouse)

title: Recent developments around the Brunn-Minkowski inequality

tentative abstract: The aim of this lecture is to present a few recent developments around the classical Brunn-Minkowski inequality on the volume of sum-sets. A classical tool of Euclidean geometry, it has influenced several other topics. We will present proofs, extensions and applications of the inequalities, thus showing connections with convex geometry, harmonic analysis, optimal transport, the Heat equation, or concentration of probability measures.