Orthogonal Projections and sumset estimates in convex geometry

Orateur: Artem ZVAVITCH
Localisation: Université d'État du Kent, États-Unis
Type: Groupe de travail Convexité, Transport Optimal et Probabilités (CTOP)
Site: Hors LAMA , IHP
Salle: salle 421
Date de début: 17/02/2022 - 14:00
Date de fin: 17/02/2022 - 17:00

In this talk we will discuss old and not so old inequalities on the volume of the orthogonal projections (sometimes called local Loomis-Whitney type estimates).  We will explore connections of those inequalities to inequalities for Mixed Volumes.  We will also show  the links between those inequalities and  a number of   interesting inequalities in Convex Geometry which are inspired by sumsets estimates in additive combinatorics and classical facts from the  information theory. This is a joint work with Matthieu Fradelizi, Mokshay Madiman and Mathieu Meyer.