Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Separation of sets by Fatou-Bieberbach domains and application to holomorphic mappings

Franc Forstnerič

created by risa on 03 Jun 2015

9 jun 2015 -- 16:00

Aula D'Antoni, Dip. Matematica, Università "Tor Vergata", Roma


The Andersen-Lempert theory of holomorphic automorphisms of complex Euclidean spaces $\mathbb{C}^n$ in intimately related to various mapping problems which are usually classified under the term “modern Oka theory”. In this talk I will discuss some recent results on the problem of separating a pair of compact disjoint sets in $\mathbb{C}^n$ by a Fatou-Bieberbach domain, and I will show how these can be used in the construction of holomorphic mappings from Stein manifolds of dimension $<n$ to the complement of certain types of sets in $\mathbb{C}^n$.

F. Forstneric, T. Ritter: Oka properties of ball complements. Math. Z. 277 (2014) 325-338 F. Forstneric, E.F. Wold: Fatou-Bieberbach domains in $\mathbb{C}^n \setminus \mathbb{R}^k$. Ark. Mat., in press.

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