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) Vadim Kaimanovich - University of Ottawa,
Titre Amenability, approximate invariance and the Liouville property
Horaire10:30 à 14:16
RésumeThe class of amenable groups was introduced by von Neumann in 1929 to explain the Hausdorff-Banach-Tarski paradox. This original definition was given in highly non-constructive terms of invariant means. A much more constructive characterization of amenability in terms of approximately invariant measures was only given in the 1950s by Day (although the phenomenon was definitely known much earlier). Both of them are also closely related to the Liouville property, i.e., to the absence of non-constant bounded harmonic functions.
I will overview the historical background and outline a number of new results on the amenability beyond the group setting.
Sallesalle 13 - couloir 15-16 - 4ème étage
AdresseCampus Pierre et Marie Curie