## Systèmes Dynamiques

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• ### Vendredi 29 septembre 10:30-11:30 - Gabriel Calsamiglia - UFF, Rio.

L’application de Riemann-Hilbert pour les systèmes sl_2 sur les courbes de genre 2.

Résumé : Nous montrons de deux façons que l’application qui associe a chaque système sl_2 sur une courbe holomorphe de genre 2, sa representation de monodromie est un biholomorphisme local autour de tout point de monodromie irréductible.

TBA

Résumé : TBA

• ### Vendredi 10 novembre 10:30-11:30 - Nuria Fagella - University of Barcelona

Fatou components of transcendental maps and singularities of the inverse function

Résumé : In this talk I will present several results concerning the relative position of points in the postsingular set $P(f)$ of a meromorphic map $f$ and the boundary of a Baker domain or the successive iterates of a wandering component. For Baker domains we answer a question of Mihaljevi\’c-Brandt and Rempe-Gillen. For wandering domains we show that if the iterates $U_n$ of such a domain have uniformly bounded diameter, then there exists a sequence of postsingular values $p_n$ such that $d(p_n,\partial U_n)\to 0$ as $n\to \infty$. We also prove that if $U_n \cap P(f)=\emptyset$ and the postsingular set of $f$ lies at a positive distance from the Julia set (in $C$) then any sequence of iterates of wandering domains must contain arbitrarily large disks. This allows to exclude the existence of wandering domains for some meromorphic maps with infinitely many poles and unbounded set of singular values.
(joint work with K. Baranski, X. Jarque and B. Karpinska)

Lieu : salle 207, bat 1R2

TBA

Résumé : TBA

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