UCD School of Mathematics and Statistics Seminars

Christina Karafyllia (University of Western Macedonia)

will speak on

Uniformization of domains by circle domains

Time: 3:00PM
Date: Tue 3rd March 2026
Location: Online [map]

Further information

Abstract: Koebe’s conjecture asserts that every domain in the Riemann sphere is conformally equivalent to a circle domain, namely a domain whose boundary consists of points and circles. The conjecture was established for finitely connected domains by Koebe and for countably connected domains by He–Schramm, which is currently the best known result. We verify Koebe’s conjecture for the classes of Gromov hyperbolic domains and inner uniform domains. Our result also resolves a conjecture of Bonk–Heinonen–Koskela.


https://ucd-ie.zoom.us/j/65168150967

(This talk is part of the Analysis series.)

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