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).

Café culturel par Camille Horbez à 13h05