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.).


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