Universal L2-torsion for free-by-cyclic groups

Speaker(s) Dawid Kielak Universität Bielefeld
Date 20 June 2017 – 10:00 to 11:00
Venue INI Seminar Room 1
Session Title Universal L2-torsion for free-by-cyclic groups
Event [NPCW05] Group actions and cohomology in non-positive curvature
Abstract The universal L2-torsion, introduced by Friedl and Lück, allows for an extension of the Thurston norm from the setting of 3-manifolds to that of free-by-cyclic groups. We will discuss this extension, and show that this norm and the Alexander norm for F2-by-Z satisfy an inequality analogous to the one satisfied by the Thurston and Alexander norms on 3-manifolds. We will also discuss the relationship between the universal L2-torsion and the Bieri-Neumann-Strebel invariants.

This is joint work with Florian Funke.

Supported By