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Teichmüller spaces, quadratic differentials, and cluster coordinates

来源: 11-29

时间:Tues.,13:30-14:30pm, Nov 29, 2022

地点:Zoom ID: 405 416 0815 ; PW: 111111

组织者: Organizer / 组织者 陈伟彦、高鸿灏、黄意、林剑锋、江怡

主讲人:Dylan ALLEGRETTI, YMSC

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. I will explain how, by replacing holomorphic differentials by meromorphic differentials, one is naturally led to consider an object called the enhanced Teichmüller space. The latter is an extension of the classical Teichmüller space which is important in mathematical physics and the theory of cluster algebras.


Speaker

个人主页:

https://ymsc.tsinghua.edu.cn/info/1033/2869.htm


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