BIMSA > BIMSA-BIT Differential Geometry Seminar Meromorphic differentials and Teichmüller space
Meromorphic differentials and Teichmüller space
Organizers
Kotaro Kawai , Chao Qian
Speaker
Dylan Allegretti
Time
Wednesday, April 26, 2023 3:20 PM - 4:20 PM
Venue
1110
Online
Zoom 928 682 9093 (BIMSA)
Abstract
In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will describe a generalization of their result where one replaces holomorphic differentials by meromorphic differentials. I will explain how this fits into an even more general story involving spaces of stability conditions and cluster varieties.