Self-replicating groups and scale groups (George Willis, University of Newcastle, Australia)

24.10.2023 10:30

Self-replicating groups are isometry groups of rooted trees which furnish important examples of groups in geometric and combinatorial group theory. Scale groups are isometry groups of regular trees which arise as subquotients of general totally disconnected, locally compact (t.d.l.c.) groups.

It will be explained how these classes of groups are essentially equivalent despite acting on different types of trees. This equivalence allows an exchange of ideas between the study of discrete groups on one hand and t.d.l.c. groups on the other. In particular, the role of scale groups in the structure theory of general t.d.l.c. groups raises general questions about the structure of scale groups.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 24.10.2023, Séminaire "Groupes et Géométrie"

entrée libre