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Texas A&M University
Mathematics

Topology Seminar

Date: September 23, 2020

Time: 4:00PM - 5:00PM

Location: Zoom

Speaker: Tianqi Wu, Harvard CMSA

  

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

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 into 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 Feng Luo. Video recording available at: https://tamu.zoom.us/rec/share/t8t6lUEjibukQk5UPeAh66Rx_jGOec7_UYSi_WfrnesukxcH-bI86x1a30Sz73pC.6BM95cH7-fL_aLiu (Access Password: GqBQ^y85)