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徐旭:Rigidity and Deformation of Discrete Conformal Structures on Polyhedral Surfaces(时间:6.4)

发布日期:2021-06-01  作者:刘敏  浏览数:

报告人:徐旭 武汉大学数学与统计学院副教授

报告时间:6月4日下午15:00

报告地点:学院二楼会议室

主办单位:数学与统计学院

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    报告摘要:Discrete conformal structure on polyhedral manifolds is a discrete analogue of the conformal structure on Riemannian manifolds. There are several different types of discrete conformal structures on surfaces, most of which were invented and studied individually in the past. The generic notion of discrete conformal structures on polyhedral surfaces was introduced recently independently byGlickensteinand Thomas from Riemannian geometry perspective and by Zhang-Guo-Zeng-Luo-Yau-Gu fromBobenko-Pinkall-Springborn'sobservation on the relationships of vertex scaling on polyhedral surfaces and 3-dimensional hyperbolic geometry. In this talk, we will report some recent progress on rigidity and deformation of generic discrete conformal structures on polyhedral surfaces.

   徐旭,武汉大学数学与统计学院副教授,其主要研究兴趣为离散几何与微分几何。相关工作发表在J. DifferentialGeom.、Adv.Math.、J.Funct.Anal.、Int.Math.Res.Not.、Sci. China Math.、Calc.Var.PartialDifferentialEquations等刊物上。