On the convergence of inversive distance circle packings to the Riemann mapping

发布时间：2024-09-19 作者：浏览次数：

Speaker:	徐旭	DateTime:	2024年9月24日(周二) 上午10:35-11:35
Brief Introduction to Speaker: 武汉大学数学与统计学院副教授，博士生导师，硕士生导师，主要从事离散共形几何、微分几何、广义相对论的数学理论等方面的研究。于2011年在中国科学院数学与系统科学研究院获得博士学位，博士毕业后在武汉大学数学与统计学院工作至今。曾在美国哈佛大学、美国罗格斯大学、德国弗莱堡大学等知名高校进行过学术访问。在 J. Differential Geom. 、Adv. Math. 、Trans. Amer. Math. Soc. 、J. Funct. Anal.、Int. Math. Res. Not. IMRN、Calc. Var. Partial Differential Equations 、Comm. Anal. Geom. 、Math. Res. Lett. 、Sci.China Math.等期刊论文发表论文30余篇。		Place:	六号楼二楼报告厅
Abstract:Thurston's conjecture on the convergence of circle packings to the Riemann mapping is a constructive and geometric approach to the Riemann mapping theorem. The conjecture was solved elegantly by Rodin and Sullivan in 1987. In 2004, Bowers and Stephenson introduced the inversive distance circle packings as a natural generalization of Thurston's circle packings. They further conjectured that the discrete conformal maps induced by inversive distance circle packings converge to the Riemann mapping. In this talk, we will discuss some progress on Bowers-Stephenson's conjecture for Jordan domains. This is a joint work with Yuxiang Chen, Yanwen Luo and Siqi Zhang.