中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
多复变与复几何研讨班
Speaker: 潘会平 教授 （华南理工大学）
Inviter: 刘劲松
Language: Chinese
Title: Ray structures on Teichmüller space
Time & Venue: 2026年7月3日（星期五）9:00-10:00 南楼N913
Abstract: Given an oriented closed surface S of genus at least two, the Teichmüller space of S is the space of equivalence classes of complex structures on S. It is also the space of equivalence classes of hyperbolic structures on S. Deformations of these structures provide several types of ray structures on the Teichmüller space. In this talk, we will show a transition between Teichmüller geodesics and Thurston geodesics via harmonic map (dual) rays. As an application, we construct a new family of Thurston geodesics, the harmonic stretch lines, and show the existence and uniqueness of such lines for any two hyperbolic surfaces in the Teichmüller space. The key of the proof is a generalized Jenkins-Serrin problem: existence and uniqueness of some tree-valued minimal graphs over hyperbolic domains. This is a joint work with Michael Wolf.
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