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.).

## Publications

## Team Members

** Benjamin Brück**

Doctoral student

Universität Bielefeld

benjamin.brueck(at)uni-bielefeld.de

**Prof. Dr. Kai-Uwe Bux**

Project leader

Universität Bielefeld

kaiuwe.bux(at)gmail.com

**Dr. Dawid Kielak**

Project leader

Universität Bielefeld

dkielak(at)math.uni-bielefeld.de

** Eduard Schesler**

Doctoral student

Universität Bielefeld

eschesler(at)math.uni-bielefeld.de

**Dr. Stefan Witzel**

Project leader

Universität Bielefeld

switzel(at)math.uni-bielefeld.de