| Orateur(s) | Núria Fagella - Barcelone,
|
| Titre | Simply connected wandering domains in complex dynamics |
| Date | 14/01/2022 |
| Horaire | 14:00 à 15:45 |
|
| Diffusion | |
| Résume | Iterating holomorphic functions on the complex plane goes back to root-finding algorithms
like Newton's method, but the basis of the rich theory that lies behind has its origin at the
beginning of the 20th century. The dynamics inside periodic components of the stable set
has a strong link with classical theorems of complex analysis like the Denjoy-Wolff Theorem
about analytic maps of the unit disk. The fractal boundaries of such components arising so
naturally from iteration often present interesting topological properties which may play
a role when trying to transfer results from the unit disk back to the dynamical plane.
However, if the components are not periodic but wandering, we need to reach
further and consider non-autonomous iteration. Wandering domains are the least understood
among all stable components. In this talk we will present some recent results about the dynamics
inside wandering domains and also on their boundaries. Many of the results are proven in the
very general setting of non-autonomous dynamics or even for sequences of holomorphic maps. |
| Salle | 15-25-502 |
| Adresse | Campus Pierre et Marie Curie |
