Iterated monodromy groups and transcendental dynamics | Vidéo | Carmin.tv

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Iterated monodromy groups and transcendental dynamics

By Bernhard Reinke

Appears in 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.

Information about the video

Date of recording 21/09/2021
Date of publication 02/11/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

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

Domain(s)

Bibliography

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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