02-10【Andrés Sambarino】腾讯会议 几何拓扑及高阶Teichmuller研讨班系列报告之十二

发布者:卢珊珊发布时间:2023-02-08浏览次数:10

报告题目:Zariski closures of groups whose limit set contains a positive triple of flags


报告人:Andrés Sambarino,  Institut de Mathématiques de Jussieu-Paris Rive Gauche


时间: 2023年2月10日(周五)16:30-17:30


腾讯会议:437-8994-6832

点击链接入会,或添加至会议列表:

https://meeting.tencent.com/dm/X2h5StJN8cqQ


摘要:

Hitchin representations are a class of representations of surface groups into simple split real Lie groups introduced by Hitchin in the 90's. They have attracted a lot of attention probably because of their remarkable resemblance between the (nowadays called) Hitchin component of \pi_1S with values in G, and the classical Teichmüller space of the surface S.  

In this lecture we will discuss a new proof based on Lusztig's positivity of triples, of a result by Guichard on the classification of Zariski closures of Hitchin representations.