Venerdì 4 Settembre 2026 alle ore 14:00, nel quadro del ciclo di seminari Al@Bicocca, Collin Bleak (University of St. Andrews) e Jim Belk (University of Glasgow) terranno i seguenti interventi
Relatore: Collin Bleak
Titolo: Generating infinite simple groups
Abstract: It is well known that every finite simple group can be generated by just two elements, and indeed, much more is true. But, much less is known about the generation of infinite simple groups. In this talk, we focus on the class of finitely generated simple vigorous groups, which are infinite groups that act on Cantor space in a particularly nice way. Thompson’s group V is the motivating example of such a group, but the class includes all the normal generalisations such as the Higman–Thompson groups Gn,r, the Brin–Thompson groups nV , as well as Nekrashevych’s simple groups of dynamical origin (including RÖver’s group V (Γ), which fits in that class). It turns out that all of these groups can be generated by two elements. The talk will also highlight a variety of much stronger things that can be said, and include some further applications of these results. This is joint work with Donoven, Harper, and Hyde.
Relatore: Jim Belk
Titolo: Quasisymmetry groups of finitely ramified fractals
Abstract: Quasisymmetries are an important class of homeomorphisms related to analysis on metric spaces and quasiconformal geometry. In this talk, I will introduce quasisymmetries and outline a theory of quasisymmetry groups for finitely ramified fractals, with applications to fractals such as generalized Sierpinski triangles and Julia sets of hyperbolic polynomials. This is joint work with Bradley Forrest.
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