报告主题: Riemannian metrics and Finsler metrics in higher Teichmüller spaces
报 告 人: 戴娴 博士
报告时间: 2023年12月21日(星期四)上午11:00-12:00
报告地点: 清清文理楼 3A01
邀 请 人: 潘会平 副教授
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数学学院
2023年 12月19日
报告摘要: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.
报告人介绍: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和表示论相关的微分几何。论文发表在Geometriy and Topology、Ergodic Theory and Dynamical Systems等期刊。