学术报告
【学术报告】Geometric Analysis Seminar: Riemannian metrics and Finsler metrics in higher Teichmüller spaces
编辑:刘梦洁发布时间:2023年12月21日

报告人:戴娴德国波鸿鲁尔大学

间:2023122610:00

点:海韵园数理大楼686会议室

内容摘要:

In this talk, we will introduce higher Teichmüller spaces and two metrics on them. One is Riemannian metrics, called pressure metrics, and the other is Finsler metrics, called Thurston's asymmetric metrics in higher Teichmüller spaces. Both metrics are generalization of classical metrics on Teichmüller spaces and are constructed using Thermodynamic formalism. The pressure metrics were first studied in works of Bridgeman, Canary, Labourie and Sambarino. The Thurston's asymmetric metrics were recently introduced in joint work with Leon Carvajales, Beatrice Pozzetti and Anna Wienhard.

人简介

戴娴,博士毕业于美国莱斯大学,现于德国波鸿鲁尔大学任职博士后。主要研究兴趣是teichmüller thurston theory and its generalisation, 以及与higher Teichmüller spaces和表示论相关的动力系统与微分几何。


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