Conjugaison dans les groupes de Röver-Nekrashevych
Matteo TAROCCHI
Université Paris-Saclay, Laboratoire de mathématiques d'Orsay
https://sites.google.com/view/tarocchi-math
Date(s) : 29/05/2026 iCal
11h00 - 12h00
Röver-Nekrashevych Groups V(G) are groups of almost automorphisms of regular rooted trees, and thus homeomorphisms of Cantor spaces, that are generated by a copy of Thompson’s group V together with some self-similar group G.
In this talk, I will gently introduce these groups and describe techniques to tackle their conjugacy problem (which is the decision problem of, given any two elements of a group, determining whether they are conjugate in such group). This is based on a work-in-progress project with Julio Aroca, Jim Belk and Francesco Matucci, where we show that the conjugacy problem for a Röver-Nekrashevych Group V(G) is solvable as soon as G is a finitely generated, torsion, contracting self-similar group (e.g., when G is Grigorchuk group).
Emplacement
Saint-Charles - FRUMAM (2ème étage)
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