Arxiv
| Presentation Name： | 午间学术报告会（一百三十一）：Horospheres in Teichmüller space and mapping class group |
|---|---|
| Presenter： | 苏伟旭 副研究员 |
| Date👨🏿🚀： | 2021-03-26 |
| Location♈️： | 光华东主楼2201 |
| Abstract🚱： | We study the geometry of horospheres in Teichmüller space of Riemann surfaces of genus g with n punctures, where 3g−3+n≥2. We show that every C^1-diffeomorphism of Teichmüller space to itself that preserves horospheres is an element of the extended mapping class group. Using the relation between horospheres and metric balls, we obtain a new proof of Royden's Theorem that the isometry group of the Teichmüller metric is the extended mapping class group. |
| Annual Speech Directory👌🏿： | No.52 |
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