The l1-Seminorm on Homology and L2-Torsion (B06)

• Subject Area: Mathematics
• Term: from 2014 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 224262486

Recently it was shown by Friedl-Lück, using methods from L^2-torsions, that there exists a canonical way to assign a formal difference of polytopes to most odd-dimensional manifolds and to large classes of groups. We want to study the connection of these polytopes to the l^1-seminorm on homology and to the Bieri-Neumann-Strebel invariant of groups. We are particularly interested in studying these polytopes for right-angled Artin groups and for free-by-cyclic groups.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1085: Higher Invariants – Interactions between Arithmetic Geometry and Global Analysis
• Applicant Institution: Universität Regensburg
• Project Head: Professor Dr. Stefan Friedl