学术报告（李沁峰 6.20）

摘 要 ： Planar Liouville equation describes the conformal metric with constant Gaussian curvature. I will present several rigidity results on solutions based on diameter, asymptotic behavior and concavity assumptions. Moreover, higher dimensional generalizations will also be discussed. This is a joint work with Alexandre Eremenko from Purdue University, Changfeng Gui from UTSA and Lu Xu from HNU.