Measured Group Theory, Stochastic Processes on Groups and Borel Combinatorics
Théorie mesurée des groupes, processus stochastiques sur les groupes et combinatoire Borélienne

22 – 26 May 2023


Scientific Committee 
Comité scientifique 

Nicolas Bergeron (Sorbonne Université)
Kate Juschenko (University of Texas at Austin)
Nikolay Nikolov (University of Oxford)

Organizing Committee
Comité d’organisation

Miklós Abért (Alfréd Rényi Institute of Mathematics)
Damien Gaboriau (CNRS – ENS Lyon)
Anush Tserunyan (McGill University)
Bálint Virág (University of Toronto)

The proposed conference aims to bring together experts from different fields: group theory, ergodic theory, probability theory and descriptive set theory. The common interest is to study properties and invariants of infinite groups using various tools, like spectral theory, L2 theory, entropy, orbit equivalence, profinite methods, random walks and graph convergence. There is already considerable interaction between these fields and the proposed participants, but much more is needed. The conference will allow participants to assimilate each others language and will open new connections.

Le but de cette conférence est de réunir des experts issus de différents domaines : théorie des groupes, théorie ergodique, probabilités et théorie descriptive des ensembles. Le centre d’intérêts communs étant l’étude des propriétés et des invariants des groupes infinis en utilisant divers outils tels que la théorie spectrale, les invariants L2, l’entropie, l’équivalence orbitale, les méthodes profinies, les marches aléatoires et la convergence de graphes. Il existe déjà des interactions considérables entre ces sujets et les participants proposés, mais il en faut bien plus. La conférence permettra aux participants d’assimiler le langage les uns des autres et ouvrira de nouvelles connections.


Pénélope Azuelos (University of Bristol)   Perfect kernels and dynamics: from Bass-Serre theory to hyperbolic groups
Agnes Backhausz (Eötvös Loránd University)   Typicality and entropy of processes on infinite trees
Laurent Bartholdi (Saarland University)   Computability and subshifts of finite type on groups
Matt Bowen (McGill University)   Edge coloring Borel multigraphs
Alessandro Carderi (Karlsruhe Institute of Technology)   Editing subgroups of Baumslag Solitar groups
Ruiyuan Chen (University of Michigan)   Quasi-treeable equivalence relations
Clinton Conley (Carnegie Mellon University)   Borel asymptotic dimension and hyperfiniteness
Ilya Gekhtman (Technion Israel Institute of Technology)   Stationary random subgroups and injectivity radius in negative curvature
Jan Grebik (University of Warwick)   Measurable Vizing’s theorem
Yair Hartman (Ben-Gurion University of The Negev)   Introduction to Stationary Random Subgroups
Camille Horbez (Université Paris-Saclay)   Integrable measure equivalence rigidity of right-angled Artin groups via quasi-isometry
Matthieu Joseph (Université Paris-Saclay)   Stabilizers for ergodic actions of non-archimedean Polish groups
David Kerr (University of Münster)   Entropy, orbit equivalence, and the Rokhlin lemma
Mikael de La Salle (CNRS, Université Claude Bernard Lyon 1)   Solution to Connes’ embedding problem, after Ji-Natarajan-Vidick-Wright-Yuen
Adrien Le Boudec (CNRS, École Normale Supérieure de Lyon)   Commability and graphs of abelian groups
François Le Maître (Université Paris Cité)   Restricted orbit equivalence: what it is and what it is not
Samuel Mellick (McGill University)   Higher rank groups have fixed price one 
Andras Meszaros (University of Toronto Scarborough)   Eigenvectors of the square grid plus GUE
Marcin Sabok (McGill University)   Finding the patterns {x, y, xy, x+y} in colorings of the rationals
Balazs Szegedy (Hungarian Academy of Science)   Markov kernels as graph limits
Grigory Terlov (University of Illinois Urbana-Champaign)   Nonamenable subforests of multi-ended quasi-pmp graphs
Laszlo Marton Toth (Hungarian Academy of Sciences)   Unimodular Galton–Watson treeings and irregular Ramanujan graphs
Todor Tsankov (Université Claude Bernard Lyon 1)   Maximal highly proximal flows of locally compact groups
Robin Tucker-Drob (University of Florida)   Treeability and planarity in measured group theory
Zoltan Vidnyanszky (Eotvos Lorand University)   Homomorphism problems in the infinite context


ERC Consolidator Grant 648017