Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :Pierre Fima, François Le Maître, Romain Tessera
Email des responsables :
Salle : 2015
Adresse :Sophie Germain

Orateur(s) László Márton Tóth - ,
Titre Invariant Schreier decorations on unimodular random graphs
Horaire14:00 à 15:00
It is a nice exercise in combinatorics to show that all finite 2d-regular graphs are Schreier graphs of the free group on d generators. We will consider the analogous question in the world of Benjamini-Schramm convergence of sparse graphs. 
We show that any 2d-regular unimodular random network can be given an invariant random Schreier structure. Equivalently, every 2d-regular graphing is a local isomorphic image of a graphing coming from a probability measure preserving action of the free goup. 
AdresseSophie Germain