报告题目：Parametrizations of Solutions to the Yamabe Equation with Isolated Singularities
报告人：韩青 教授 美国圣母大学
时间：2025年5月29日上午10：00 - 11：30
地点：数学楼2-1会议室
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.
报告人简介：
韩青，美国圣母大学数学系终身教授，博士生导师。本科毕业于北京大学，在美国纽约大学柯朗数学研究所获得博士学位。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、调和函数的零点集与奇异集、退化方程等方面做出了一系列重要的原创性成果，曾获美国Sloan Research Fellowship，是国际学术界这一领域的杰出代表。
邀请人：李东升 教授
