讲座人介绍：

韩青，美国圣母大学数学系终身教授，北京大学特聘教授。曾获得国家杰出青年基金B类项目以及美国Sloan Research Fellowship。韩青教授长期致力于偏微分方程和几何分析的研究工作，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。在《Duke Math. J.》、《Comm. Pure Appl. Math.》、《Geom. Funct. Anal.》、《J. Differ. Geom.》、《Ann. PDE》、《Crelle's Journal》等学术杂志上发表60余篇科研论文。

讲座简介：

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.