Geometry and dynamics of totally disconnected locally compact groups  14 - 18 December 2020

08:00 - 17:00
Room : GA 3 21

Organisers

Uri Bader, Weizmann Institute Of Science

Pierre-Emmanuel Caprace, Université Catholique de Louvain, Institut de Recherche en Mathématiques et Physique (IRMP)

Yves Cornulier, CNRS, Université Lyon 1

Katrin Tent, Universität Münster

George Willis, The University of Newcastle, Australia

T.d.l.c. groups can generally be realised as groups of isometries of locally finite connected graphs, and this viewpoint brings geometry to the investigation of t.d.l.c. groups. Not only are isometry groups of trees and buildings key examples of t.d.l.c. groups, but general results about group structure are related to global metric properties of graphs such as shortest paths, flatness and growth. A critical question is to determine when the isometry group of a vertex-transitive graph is not discrete.

Similarly, natural actions of t.d.l.c. groups on compact spaces, such as the space of closed subgroups or the boundary of a graph, bring ideas from dynamics to the investigation of the groups. Dynamical notions such as invariant random subgroups have a role to play in this investigation.

At this workshop experts on geometry, dynamics and group theory will pool their knowledge to address problems of shared interest.

Name University Dates of visit
Uri Bader Weizmann Institute Of Science 14/12/2020 - 18/12/2020
Pierre-Emmanuel Caprace Université Catholique de Louvain, Institut de Recherche en Mathématiques et Physique (IRMP) 14/12/2020 - 18/12/2020
Yves Cornulier CNRS, Université Lyon 1 14/12/2020 - 18/12/2020
Katrin Tent Universität Münster 14/12/2020 - 18/12/2020
George Willis The University of Newcastle, Australia 14/12/2020 - 18/12/2020
Total Guests : 5
Name University Dates of visit
Total Guests : 0