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Self-similar graphs, algebra and fractals

Presented by: 
V Nekrashevych [Texas A&M]
Date: 
Thursday 24th May 2007 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 

We will discuss operator algebras associated with self-similar objects such as graphs, groups and dynamical systems. In particular, we will show how to reconstruct the Julia set of a rational function from its iterated monodromy group (or from the associated countable graph)using C*-algebras. We will also present a formula for the Hausdorff dimension of the Julia set, which suggests that this approach might be useful for constructing (quantized?) calculus on Julia sets.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons