Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Boundary Interpolation Problems for Holomorphic Generators and the Cowen-Pommerenke Inequalities

David Shoikhet

created by risa on 10 Apr 2015

14 apr 2015 -- 16:00

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


We study a problem of separation of boundary singularities for generators of continuous semigroups of holomorphic self-mappings. It enables us to recover the famous Cowen-Pommerenke inequalities as well as to establish some quantitative algebraic and geometric characteristics related to the linearization models for semigroups of holomorphic mappings and the geometry of backward flow invariant domains. Yet another look at the problem in question leads to an infinitesimal version of boundary interpolation theorem for holomorphic generators in the spirit of Pick and Nevanlinna. This talk is based on the joint works with Mark Elin, Simeon Reich, Nikolay Tarkhanov and Larry Zalcman.

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