讲座内容简介：

We revisit some uniqueness results for a geometric nonlinear PDE related to the scalar curvature in Riemannian geometry and CR geometry. In the Riemannian case we give a new proof of the uniqueness result assuming only a positive lower bound for Ricci curvature. We apply the same principle in the CR case and reconstruct the Jerison-Lee identity in a more general setting. As a consequence, we prove a stronger uniqueness result in the CR case. We also discuss some open problems for further study.

讲座人简介：

Xiaodong Wang 教授，美国密歇根州立大学（Michigan State University）终身教授，研究方向为几何分析和偏微分方程。在Invent. Math., Duke Math. J., Comm. Pure Appl. Math., Appl. Math., Adv. Math. 等期刊发表30余篇学术论文。