关于举行张峻铭（南开大学）学术报告会的通知

报告主题: Compact Relative SO0(2,q)-Character Varieties of Punctured Sphere

报  告  人: 张峻铭（南开大学）

报告时间：2023年12月7日（星期四）下午8:00-9:00

报告地点：腾讯会议：992 303 877

邀  请  人: 孙浩副教授

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数学学院

2023年 12月3日

报告摘要：

We prove that there are some relative $\mathrm{SO}_0(2,q)$-character varieties of the punctured sphere which are compact, totally non-hyperbolic and contain a dense representation. This work fills a remaining case of the results of N. Tholozan and J. Toulisse. Our approach relies on the utilization of the non-Abelian Hodge correspondence and we study the moduli space of parabolic $\mathrm{SO}_0(2,q)$-Higgs bundles with some fixed weight. Additionally, we provide a construction based on Geometric Invariant Theory (GIT) to demonstrate that such moduli space we find can be viewed as a projective variety over $\mathbb{C}$. This is a joint work with Yu Feng.

报告人介绍：

张峻铭，现为南开大学在读研究生，研究领域为Higgs丛。