Meromorphic differentials and Teichmüller space

Time：2023-04-26 Wed 15:20-16:55

Venue：Venue:1110 ZOOM: 928 682 9093（PW: BIMSA）

Organizer：Kotaro Kawai, Sebastian Heller, Lynn Heller, Chao Qian

Speaker：Dylan Allegretti

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.

DATEApril 26, 2023

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