Finiteness properties of totally disconnected locally compact groups

  • Tagungsort:

    Geb. 20.30, SR 3.069

  • Datum:

    06.05.2025

  • Referent:

    Laura Bonn

  • Zeit:

    15:45 Uhr

  • Abstract: 

    In this talk we first see a short introduction into totally disconnected locally compact groups (tdlc). In the next step, we compare the definitions of finiteness properties for discrete groups with those for tdlc groups.

    In the main part of the talk, we consider various constructions of tdlc groups and their finiteness properties. We start with the Schlichting completion and explain the construction and its finiteness properties. This part follows a joint work with Roman Sauer.

    Then we introduce the universal Smith groups and collect some properties of them. In the last part we look at the finiteness properties of universal Smith groups and see a way how we can construct simple tdlc groups that can be classified by their finiteness properties.