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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）    

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.

报告时间：2025年5月8日（周四）下午15：00-16：00    

报告地点：教四楼112

联系人：张振雷