398 citations
- Université de LorraineFR874 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Institut national de recherche en sciences et technologies du numériqueFR121 papers
- Université Henri PoincaréFR49 papers
- Institut Universitaire de FranceFR45 papers
- Centre Inria de l'Université de LorraineFR35 papers
- École PolytechniqueFR22 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR19 papers
- Laboratoire de Mathématiques d'OrsayFR18 papers
- Institut Camille JordanFR16 papers
- Laboratoire de Mathématiques Blaise PascalFR16 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR14 papers
4 papers · 2 filters
A new lattice invariant for lattices in totally disconnected locally compact groups
Bruno Duchesne, Robin Tucker-Drob, Phillip Wesolek
We introduce and explore a natural rank for totally disconnected locally compact groups called the bounded conjugacy rank. This rank is shown to be a lattice invariant for lattices…
Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces
Bruno Duchesne, Jean Lécureux, Maria Beatrice Pozzetti
We define a Toledo number for actions of surface groups and complex hyperbolic lattices on infinite dimensional Hermitian symmetric spaces, which allows us to define maximal repres…
Numerical upper bounds on growth of automata groups
Jérémie Brieussel, Thibault Godin, Bijan Mohammadi
The growth of a finitely generated group is an important geometric invariant which has been studied for decades. It can be either polynomial, for a well-understood class of groups,…
Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms
Bruno Duchesne, Nicolas Monod, Phillip Wesolek
Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relat…