Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe

Collection Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe

Organizer(s) Benini, Anna Miriam ; Drach, Kostiantyn ; Dudko, Dzmitry ; Hlushchanka, Mikhail ; Schleicher, Dierk
Date(s) 20/09/2021 - 24/09/2021
linked URL https://conferences.cirm-math.fr/2546.html
00:00:00 / 00:00:00
14 27

Iterated monodromy groups and transcendental dynamics

By Bernhard Reinke

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.

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Citation data

  • DOI 10.24350/CIRM.V.19814803
  • Cite this video Reinke, Bernhard (21/09/2021). Iterated monodromy groups and transcendental dynamics. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19814803
  • URL https://dx.doi.org/10.24350/CIRM.V.19814803

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