论文标题
年轻研究人员关于谎言群体积极性研讨会的论文集
Proceedings of the Young Researchers Workshop on Positivity in Lie Groups
论文作者
论文摘要
这些笔记抄录了一个关于总积极性和$θ$ - 积极率及其与更高Teichmüller理论的关系的研讨会。 $θ$ - 积极性是半圣母谎言组的积极性的概念,最近由Guichard和Wienhard引入,以概括Lusztig的总积极性。据信它是对更高的Teichmüller空间进行分类的宣泄概念。毫无疑问,在对$θ$阳性结构的研究中,将在不久的将来取得实质性进展。这些笔记提供了截至2021年的最新现状。
These notes transcribe a workshop about the notion of total positivity and $Θ$-positivity and its relation to Higher Teichmüller Theory. $Θ$-positivity is a notion of positivity in semisimple Lie groups and was recently introduced by Guichard and Wienhard as a generalization of Lusztig's total positivity. It is believed to be the cathartic notion to classify higher Teichmüller spaces. Without doubt, substantial progress will be achieved in the near future on the study of $Θ$-positive structures. These notes provide an account of the state of the art as of 2021.