Dynamics of transcendental Henon maps. Part I ![[ Back ] [ Back ]](/components/com_simplecalendar/assets/images/back_icon.gif)
- Date:
- 19.09.17
- Times:
- 09:00 to 11:00
- Place:
- IMUB-Universitat de Barcelona
- Speaker:
- Anna Miriam Benini
- University:
- Universitat de Barcelona
Abstract:
In this course we cover the dynamics of transcendental Henon maps. A transcendental Henon map is an automorphisms of $\C^2$ of the form $F(z,w)=(f(z)+aw,z)$ with $f:\C \to \C$ entire transcendental and $a\in\R$.
Different definitions of normality for holomorphic functions in $\C^2$. Basic features of holomorphic dynamics in $\C^2$. Existence of saddle points for transcendental Henon maps. Proof of the non-emptyness of the Julia set.