学术报告

题目：Circle packings and total geodesic curvatures on hyperbolic metrics

报告人：胡光明 （南京邮电大学）

时间：2023年12月1日（星期五）下午 15:00-16:00

地点：沙河校区主楼E306

摘要：In this talk, we will introduce our recent work on a new type of generalized circle packings in hyperbolic background geometry using variational principles. Horocycles and hypercycles are also considered in those packings. By studying Colin de Verdiere's variational principle, we discover a uniform approach to define a functional regarding circles, horocycles and hypercycles by total geodesic curvatures. By analyzing this functional, we obtain an existence and rigidity of the generalized circle packing with conical singularities with respect to the total geodesic curvature on each vertex. As a consequence, we introduce the combinatorial Ricci flow to find a desired circle packing with the prescribed total geodesic curvature on each vertex.

报告人简介：胡光明，博士毕业于北航数学科学学院，现为南京邮电大学理学院讲师。主要研究Teichmuller 空间与模空间的紧化及相关问题，近年来在Ann. Fenn. Math.，Proc. AMS等期刊发表学术论文15篇，主持国家自然科学青年基金一项。

邀请人：漆毅

欢迎大家参加！