京师数学前沿论坛 第十八讲
京师数学前沿论坛
报告题目(Title)：Parametrizations of Solutions to the Yamabe Equation with Isolated Singularities
报告人(Speaker)：韩青 教授（美国圣母大学）
地点(Place)：后主楼1124
时间(Time)：2026年3月17日（周二）14:30-15:30
报告摘要
In this talk, we study parametrizations of solutions to the Yamabe equation with nonremovable isolated singularities by harmonic functions, or more precisely, by sequences of spherical harmonics. There is a one-to-one correspondence between the collection of the solutions to the Yamabe equation with nonremovable isolated singularities and the collection of the sequences of spherical harmonics through formal infinite series determined by the sequences of spherical harmonics. We prove that these formal infinite series yield actual solutions to the Yamabe equation with a nonremovable isolated singularity. These solutions to the Yamabe equation have designated asymptotic behaviors determined by the sequences of spherical harmonics.
主讲人简介
韩青，美国圣母大学数学系终身教授。美国纽约大学库朗数学研究所博士，美国芝加哥大学博士后。获美国Sloan Research Fellowship. 韩青教授长期致力于非线性偏微分方程和几何分析的研究，在等距嵌入、Monge-Ampere方程、调和函数的零点集和奇异集、退化方程等方面做出了一系列原创性的重要研究成果。
