关于举行胡光明（南京邮电大学）学术报告会的通知

报告主题: Boundary Value Problem and Discrete Schwarz-Pick Lemma for Generalized Hyperbolic Circle Packings

报 告 人: 胡光明

报告时间：2026年 11月11日（星期三）15:00-16:00

报告地点：腾讯会议：982-2783-0002

邀 请 人: 何遵武副教授

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数学学院

2026年11月2日

报告摘要：

In 1991, Beardon and Stephenson generalized the classical Schwarz-Pick lemma in hyperbolic geometry to the discrete Schwarz-Pick lemma for Andreev circle packings.  This paper continues to investigate the discrete Schwarz-Pick lemma for generalized circle packings (including circle, horocycle or hypercycle)  in hyperbolic background geometry. Since the discrete Schwarz-Pick lemma is to compare some geometric quantities of two generalized circle packings with different boundary values, we first show the existence and rigidity of generalized circle packings with boundary values. Moreover, motivated by the method of He,

we propose the maximum principle for generalized circle packings. Finally, we use the maximum principle to prove the discrete Schwarz-Pick lemma for generalized circle packings.

报告人介绍：

南京邮电大学讲师，主要研究复分析领域中Teichmüller 空间紧化和circle packing等相关问题。近年来在Trans. Amer. Math. Soc., J. Funct. Ana.,   Calc. Var. Partial Differ. Equations, Math. Z. 等期刊发表学术论文20篇，主持国家青年与面上基金各一项。