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Topology/Geometry Seminar

Koebe circle domain conjecture and the Weyl problem in the hyperbolic 3-space 

Feng Luo (Rutgers)

Location:  Room 005
Date & time: Tuesday, 29 January 2019 at 3:30PM - 4:30PM

Abstract:  In 1908, Paul Koebe conjectured that every open connected set in the plane is conformally diffeomorphic to an open connected set whose boundary components are either round circles or points. The Weyl problem, in the hyperbolic setting, asks for isometric embedding of surfaces of curvature at least -1 in to the hyperbolic 3-space. We show that there are close relationships among the Koebe conjecture, the Weyl problem and the work of Alexandrov and Thurston on convex surfaces.

This is a joint work with Tianqi Wu.

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