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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

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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