- Geometry Topology Seminar
- Monday, October 2, 2023 - 2:00pm for 1 hour (actually 50 minutes)
- Hannah Hoganson – UMD
- Roberta Shapiro
We will start by introducing the Teichmüller space of a surface, which parametrizes the possible conformal structures it supports. By defining this space analytically, we can equip it with the Lp metrics, of which the Teichmüller and Weil-Petersson metrics are special cases. We will discuss the incompleteness of the Lp metrics on Teichmüller space and what we know about their completions.