Amenable open covers of right-angled Artin groups

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• Kevin Li (University of Regensburg)
• Friday 25 November 2022, 13:45-14:45
• MR13.

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If a space can be covered by few subsets with amenable fundamental group, there are strong vanishing results for several invariants: simplicial volume, L^2-Betti numbers, and homology growth. We study the minimal number of such subsets needed to cover a space, the so-called amenable category. By considering aspherical spaces we obtain an invariant of discrete groups and we will compute this number for right-angled Artin groups.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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