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Dynamical Systems and Analysis Seminar - Mike Whittaker

Dates:2 December 2024
Times:14:00 - 14:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Analysis and dynamical systems"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

Speaker: Mike Whittaker (University of Glasgow)

Title: Self-similar groups and their limit spaces

Abstract: A self-similar group (G,X) consists of a group G acting faithfully on a homogeneous rooted tree such that the action satisfies a self-similarity condition. In this talk I will introduce a beautiful theorem of Nekrashevych: there is a self-similar group associated to every post critically finite rational function whose limit space recovers the Julia set of the function. I'll then show how limit spaces of self-similar actions appear in other contexts and reveal dynamical systems in a group theoretic context.

Room: Frank Adams 1

Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis

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Frank Adams 1
Alan Turing Building
Manchester

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Yotam Smilansky

yotam.smilansky@manchester.ac.uk

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