Séminaires : Séminaire d'Analyse Fonctionnelle

Equipe(s) : af,
Responsables :E. Abakoumov - D. Cordero-Erausquin - G. Godefroy - O. Guédon - B. Maurey - G.Pisier
Email des responsables :
Salle : salle 13 - couloir 15-16 - 4ème étage
Adresse :Campus Pierre et Marie Curie
Le Jeudi à 10h30 -  IMJ-PRG - 4 place Jussieu - 75005 PARIS

Orateur(s) Artem Zvavitch - Kent,
Titre Links between different inequalities on mixed volumes of convex bodies
Horaire10:30 à 21:44
RésumeThe notion of mixed volumes and the inequalities involving them play a central role in the modern convex geometry, and have many connections to various other areas of mathematics. The most classical inequalities includes Brunn Minkowski inequality and more general Alexandrov-Fenchel inequality. In this talk we will discuss a local version of Alexandrov-Fenchel ineqaulity and its connection to the search for the best constant in a number of geometric inequalities including inequality on the volume of orthogonal projections of convex bodies; isomorphic version of Bezout inequality; approximate submodularity of Minkowski sum; as well as to the property of distribution of roots of Steiner polynomial. This is a joint work with Matthieu Fradelizi and Mokshay Madiman.
Sallesalle 13 - couloir 15-16 - 4ème étage
AdresseCampus Pierre et Marie Curie