Seminario di Analisi Complessa

Dipartimento di Matematica

Università di Roma Tor Vergata

Organizzatori: Filippo Bracci , Leandro Arosio, Eleonora Di Nezza

Prossimi seminari:

Alberto Saracco, Università di Parma. On transcendental Hénon maps with escaping Fatou components

Martedì 18 Ottobre 2025 ore 16:15 aula D'Antoni

Abstract: 

The dynamics of holomorphic maps in several variables in much richer than that in one variable and has yet to be fully understood.

An easier setting is that of functions of "one and a half" variable, i.e. functions from C^2 to C^2 of some easier form that makes them look more similar to functions of one single variable. One kind of such functions is that of Henon maps, automorphisms of C^2 of the form: F(z,w)= (f(z)-aw,z).

We investigate the case where f(z) is trascendental and find example of (1) escaping Fatou components admitting different limit functions (joint work with Miriam Benini and Michela Zedda) and (2) escaping Fatou components with disjoint hyperbolic limit sets (joint work with Veronica Beltrami and Miriam Benini).