学术报告报告主题：Unipotent elements in Total Positivity
报 告 人：刘杰（中国科学院数学与系统科学研究院）
报告时间：2024年3月20日（星期三）上午10:00-11:00
报告地点：Zoom ID: 518 868 7656
邀 请 人：孙浩副教授
（此报告与BIMSA的苏桃教授和马普所的黄鹏飞博士共同组织）
欢迎广大师生前往！
数学学院
2024年3月18日
报告摘要：
Let X be a projective manifold. The Hitchin morphism is a map from the moduli stack of Higgs bundles over X to the Hitchin base, which sends a Higgs bundle to its characteristic polynomial. If X is a curve, it is well-known that the Hitchin morphism is surjective and it plays an important role in the study of the moduli space of Higgs bundles. However, if X has dimension at least two, the Hitchin morphism in general is not surjective. Thus a closed subset of the Hitchin base, called the spectral base, is introduced by Tsao-Hsien Chen and Bao Chau Ng{\^o} and it is conjectured that the Hitchin morphism is onto the spectral base. This conjecture is confirmed when X is a surface by the works of Tsao-Hsien Chen & Bao Chau Ng{\^o} and Lei Song & Hao Sun. In this talk, I will present our solution to this conjecture for rank two Higgs bundles and also show the vanishing of the spectral base for Hermitian locally symmetric spaces with higher rank. This is joint work with Siqi He and Ngaiming Mok.
报告人介绍：
刘杰，现为中科院副研究员，研究方向为代数几何。