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Koebe Conjecture and the Weyl Problem for Convex Surfaces in Hyperbolic 3-Space

2019-08-15 15:30

报告人: 吴天琦

报告人单位: 哈佛大学

时间: 2019-08-15 15:30-16:30

地点: 卫津路校区6号楼111教

开始时间: 15:30

报告人简介: 博士

年: 2019

日月: 08.15

We prove that the Koebe circle domain conjecture is equivalent to the Weyl type problem that every complete hyperbolic surface of genus zero is isometric to the boundary of the hyperbolic convex hull of the complement of a circle domain. It provides a new way to approach the Koebe’s conjecture using convex geometry. The main tool we use is Schramm’s transboundary extremal lengths.

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