中科院数学与系统科学研究院
数学研究所
学术报告会
报告人: Prof. Ge Huabin(Beijing Jiaotong University)
题 目:On the deformation of inversive distance circle packings
时 间:2016.05.27(星期五),15 :00-17 :00
地 点:数学院南楼N820室
Abstract:
In this talk, we generalize Chow-Luo's combinatorial Ricci flow to inversive distance circle packing setting. Although the solution to the generalized flow may develop singularities in finite time, we can always extend the solution so as it exists for all time and converges exponentially fast. Thus the generalized flow can be used to deform any inversive distance circle packing to a unique packing with prescribed cone angle. We also give partial results on the range of all admissible cone angles, which generalize the classical Andreev-Thurston's theorem. This is a joint work with Dr. Jiang Whenshuai.