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On Finiteness Properties of Totally Disconnected Locally Compact Groups

On Finiteness Properties of Totally Disconnected Locally Compact Groups
Datum:

28.01.2016

Ort:

20.30 SR 2.058 

Referent:

Dr. Werner Thumann

Zeit:

17:30 Uhr

Abstract. After explaining the role of totally disconnected groups in the world of locally compact groups, I introduce well-known examples of simple totally disconnected locally compact groups, the so-called tree almost automorphism groups. I discuss what the correct notions of being finitely generated and finitely presented in the totally disconnected setting are and propose higher dimensional versions of these in a geometric fashion. It is joint work with Roman Sauer that the aforementioned tree almost automorphism groups satisfy these higher finiteness conditions which generalizes previous results by Adrien Le Boudec.