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Iterated monodromy groups and transcendental dynamics

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Authors : Reinke, Bernhard (Author of the conference)
CIRM (Publisher )

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Abstract : 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.

Keywords : Iterated monodromy group; transcendental dynamics; holomorphic

MSC Codes :

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 02/11/2021
    Conference Date : 21/09/2021
    Subseries : Research talks
    arXiv category : Dynamical Systems ; Group Theory
    Mathematical Area(s) : Dynamical Systems & ODE ; Algebra
    Format : MP4 (.mp4) - HD
    Video Time : 00:28:13
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2021-09-21_Reinke.mp4

Information on the Event

Event Title : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe
Event Organizers : Benini, Anna Miriam ; Drach, Kostiantyn ; Dudko, Dzmitry ; Hlushchanka, Mikhail ; Schleicher, Dierk
Dates : 20/09/2021 - 24/09/2021
Event Year : 2021
Event URL : https://conferences.cirm-math.fr/2546.html

Citation Data

DOI : 10.24350/CIRM.V.19814803
Cite this video as: Reinke, Bernhard (2021). Iterated monodromy groups and transcendental dynamics. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19814803
URI : http://dx.doi.org/10.24350/CIRM.V.19814803

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