美国加州大学尔湾分校李松鹰教授学术报告

理工北楼601

发布者:韩伟发布时间:2024-06-26浏览次数:189

报告题目Topics in the Theory of Cauchy-Riemann Equations

时      202463071(星期日、星期一10:00

地      理工南楼213

主      数学与统计学院、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、统计学与人工智能福建省高校重点实验室、福建省应用数学中心(福建师范大学)

参加对象相关方向教师和研究生

 

报告摘要Theory of Cauchy-Riemann equations is the central subject in the several complex variables and its applications. In this talk, I will make a short introduction of the theory of Cauchy-Riemann equations. We will discuss two important tools to study the theory. The one is Hörmanders  theory which is from the point of view of the partial differential equations. The other is the integral representation for the solutions of Cauchy-Riemann equations, which is a method based on the view of harmonic analysis. We also present some recent development of Cauchy-Riemann equations, including my recent work and pose some open questions.

 

报告人简介李松鹰(Song-Ying Li),美国加州大学尔湾分校 (UC, Irvine) 正教授。李松鹰教授是国际著名的多复变专家在非线性方程解的刚性和正则性、Kohn-Laplacian的第一特征值估计以及dbar-方程等前沿问题有突出的工作,在Analysis & PDEs,  J. Diff. Geom.,  Adv. Math.,  Math. Ann.,  Amer. J. Math.,  J. Funct. Anal.,  J. London Math. Soc.,  Calc. Var. PDEs,  J. Geom. Anal.,  Math. Z.等国际一流数学期刊上发表数十篇学术论文。