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Iterated monodromy groups and transcendental dynamics - Reinke, Bernhard (Auteur de la conférence) | CIRM H

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Iterated monodromy groups are self-similar groups associated to partial selfcoverings. In my talk I will give an overview of iterated monodromy groups of post-singularly finite entire transcendental functions. These groups act self-similarly on a regular rooted tree, but in contrast to IMGs of rational functions, every vertex of the tree has countably infinite degree. I will discuss the similarities and differences of IMGs of entire transcendental functions and of polynomials, in particular in the direction of amenability.[-]
Iterated monodromy groups are self-similar groups associated to partial selfcoverings. In my talk I will give an overview of iterated monodromy groups of post-singularly finite entire transcendental functions. These groups act self-similarly on a regular rooted tree, but in contrast to IMGs of rational functions, every vertex of the tree has countably infinite degree. I will discuss the similarities and differences of IMGs of entire tra...[+]

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