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Complex Analysis and Geometry Seminar

Examples of Automorphisms with Fatou components with complicated topology

Berit Stensones, Norwegian University of Science and Technology

Location:  Hill 705
Date & time: Friday, 19 April 2019 at 10:30AM - 11:30AM

Abstract:  It is known that in 1 variable the Fatou Component of an entire map will have to be simply connected. Further one can not have points that under iterations of a map spirals in toward a fixed point, the so called snail lemma. We shall show that in higher dimensions the situation is very different.

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