Séminaires : Séminaire Géométrie et Topologie

Ce séminaire s’adresse aux géomètres, topologues et dynamiciens au sens large. Il est rattaché aux équipes Analyse Algébrique et Analyse Complexe et Géométrie. Les exposés seront accessibles à une audience large, doctorants inclus. Il se tiendra à Jussieu, le jeudi à 11h, en salle 15-25 502. Le séminaire a l'agenda google suivante: https://calendar.google.com/calendar/b/0?cid=dDgzNTJoczNmdDhlMm5nb2IzMXJwaWpsdHNAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbQ

Iterated monodromy groups are self-similar groups associated to
partial self-coverings. In my talk I will give an introduction to
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 also discuss the similarities and differences of IMGs of entire
transcendental functions and of polynomials, in particular in the
direction of amenability.