Insalata di Matematica: M. Tarocchi

Groups acting on fractals and graph approximations

Giovedì 9 Maggio 2024 alle ore 16:30, nel quadro della serie di seminari Insalate di Matematica, Matteo Tarocchi (Università degli Studi di Milano-Bicocca) parlerà di

Titolo: Groups acting on fractals and graph approximations

Abstract: This talk is about rearrangement groups: a family of groups of certain homeomorphisms of fractals thatpermute finitely many self-similar pieces. Homeomorphism groups of fractals are often uncountable topologicalgroups, which are difficult to study algebraically. Rearrangement groups, while only being countable, are often richenough to be dense in the homeomorphism groups of the fractals on which they act, yet they are manageable enoughthat algorithmic problems on them are treatable, and they have plenty of interesting algebraic properties of their own. Since this talk is aimed at a general audience and deals with an intersection of topology, algebra and computation, it will focus on a general description of rearrangements and, as an application, show how to tackle their conjugacyproblem. 

Keywords: homeomorphism groups, self-similar fractals, decision problems

Informazioni per partecipare in presenza

Il seminario si svolgerà nell'Aula 3014, presso l'Edificio U5 - Ratio dell'Università degli Studi di Milano-Bicocca.

Informazioni per partecipare online

Visita la pagina: https://unimib.webex.com/unimib/j.php?MTID=mbda2ef40f5c8008497021940ceb3b143

 (password: insalate, 46725283 from phones)

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