Recurrent subgroups and lattice embeddings in totally disconnected groups (Adrien Le Boudec, ENS Lyon)

13.11.2018 10:30

Given a group G, we consider the space Sub(G) of subgroups of G, endowed with the Chabauty topology. A subgroup H of G is uniformly recurrent if G acts minimally on the closure of the conjugacy class of H in Sub(G).
In this talk we will consider the class of non-amenable countable groups admitting amenable uniformly recurrent subgroups. More precisely, given such a group, we will state some results about the (totally disconnected) locally compact groups into which it embeds as a lattice.
This is (among other things) motivated by a family of examples of groups within this class that contains instances of groups that are finitely generated, simple, and which embed as "irreducible" lattices in the wreath product of a finite group with the group Aut(T) of automorphisms of a tree. Part of the talk will be dedicated to these examples.

Lieu

Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques

Intervenants

Adrien Le Boudec, ENS Lyon

entrée libre

Classement

Catégorie: Séminaire

Mots clés: groupes et géométrie