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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
Applicant Institution Universität Regensburg
 
 

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