关于举行朱翔助理研究员（中国石油大学）学术报告会的通知

报告主题:  全测地曲率与反演距离圆堆积

报 告 人:  朱翔

报告时间： 2026年 10月22日（星期四）上午11:00-12:00

报告地点： 37号楼3A02

邀 请 人:  陈麒羽、何遵武、钟友良 副教授

欢迎广大师生前往！

数学学院

2026年10月21日

报告摘要：

Circle packing provides a natural discretization of holomorphic maps. It is a foundational tool in computer graphics and computer-aided design for texture mapping, geometric structure detection and mesh generation. In this talk, we will first introduce the results of Zhu’s thesis in 2019 and Lutz’s thesis in 2024 on the discrete conformality of the inversive distance circle packings, especially the case of hyperbolic polyhedral surfaces. After that, we present the definition of total geodesic curvature introduced by Nie, from which we obtain a unifying parameterization for inversive distance circle packings on hyperbolic surfaces and their Teichmüller spaces, which accommodates decorations of mixed types —circles, horocycles and hypercycles. We establish a uniform variational principle for this setting, and as a main application, characterize the existence and uniqueness of inversive distance circle packings with prescribed total geodesic curvatures. This is joint work with Guangming Hu, Lishan Li and Puchun Zhou.     

报告人介绍：

中国石油大学（北京）地球物理学院助理研究员，博士毕业于清华大学数学系，研究领域为计算几何和复分析。