08

Parabolics and Invariants

The goal of the project is to obtain new insights into certain asymptotic topological and homological invariants of groups, specifically

- the $$\Sigma$$-invariants introduced by Bieri-Neumann-Strebel and Bieri-Renz,

- universal $$L^2$$-torsion introduced by Friedl-Lück, and

- higher generation introduced by Abels-Holz.

In the course of studying these invariants a prominent role is played by parabolic subgroups (of algebraic groups and Coxeter groups) and generalizations of these (in automorphisms of right-angles Artin groups, braid groups, etc.).

## Team Members

Benjamin Brück
Doctoral student
Universität Bielefeld
benjamin.brueck(at)uni-bielefeld.de

Prof. Dr. Kai-Uwe Bux
Universität Bielefeld
kaiuwe.bux(at)gmail.com

Dr. Dawid Kielak