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Iterated monodromy groups and transcendental dynamics

De Bernhard Reinke

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

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.

Informations sur la vidéo

Date de captation 21/09/2021
Date de publication 02/11/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19814803
Citer cette vidéo 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

Domaine(s)

Bibliographie

REINKE, Bernhard. Iterated Monodromy Groups of Exponential Maps. arXiv preprint arXiv:2004.12653, 2020. - https://arxiv.org/abs/2004.12653
REINKE, Bernhard. Amenability of Bounded Automata Groups on Infinite Alphabets. arXiv preprint arXiv:2004.05029, 2020. - https://arxiv.org/abs/2004.05029

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