A Finiteness Theorem for Gromov-Hyperbolic Groups - Gérard Besson

View the slides: www.math.stonybrook.edu/pdfs/...
Stony Brook University Mathematics Colloquium
April 20, 2023
Speaker: Gérard Besson, CNRS - Université Grenoble Alpes
Abstract: We shall prove that given H is greater than 0 and δ≥0 there is a finite number (up to isomorphisms) of marked groups (Γ,Σ) which are δ-hyperbolic, torsion-free, non cyclic such that their entropy satisfies Entropy(Γ,Σ)≤H. Here Γ is finitely generated and endowed with a (symmetric) finite generating set Σ. The goal of the talk is to explain all the words in this abstract and give a flavour of the proof.