中国科学院数学与系统科学研究院
数学研究所
学术报告
几何拓扑研讨班
Speaker: Mengxue Yang (IPMU)
Inviter: 何思奇 副研究员
Language: Chinese
Title: Conformal limit on Cayley components
Time&Venue: 2025年4月16日（星期三） 10:30-11:30 & 晨兴410
Abstract: In 2014, Gaiotto conjectured that there is a biholomorphism between Hitchin components and spaces of opers on a punctured sphere via a scaling limit called the 
-conformal limit. On a compact Riemann surface of 
, this biholomorphism has been proven in 2016. Motivated by the study of higher Teichm\"uller spaces, we may view the Hitchin components as a part of a larger family of special components called Cayley components. I will talk about the Cayley components and propose their conformal limit to be the generalized notion of opers of Collier—Sanders.
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