Groups of automorphisms of trees and their bounded cohomology

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• Elena Bogliolo (Pisa)
• Friday 06 March 2026, 13:45-14:45
• MR13.

If you have a question about this talk, please contact Francesco Fournier-Facio.

We present a family of groups, introduced by Le Boudec, consisting of automorphisms of regular trees with “almost prescribed” local actions. We provide an algebraic characterization for the vanishing of their continuous bounded cohomology. Specifically, we prove that these groups are boundedly acyclic when the underlying local permutation group is 2-transitive; while failing this condition leads to an infinite-dimensional second bounded cohomology.

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

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