Thursday 9 May 2024 at 4.30 pm, as part of the Insalate di Matematica seminar series, Matteo Tarocchi (University of Milano-Bicocca) will talk about
Title: 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
Information to attend in presence
The seminar will take place in Room 3014, in Building U5 - Ratio of the University of Milano-Bicocca.
Information to attend online
Visit the page: https://unimib.webex.com/unimib/j.php?MTID=mbda2ef40f5c8008497021940ceb3b143
(password: insalate, 46725283 from phones)