Time：15:30-17:00, Tuesday, April 21 2026
Venue：E14-215
Host： Zhongwei Shen, ITS
Speaker: Congming Li, Shanghai Jiao Tong University
Biography: Congming Li is a chair professor at Shanghai Jiao Tong University and a national distinguished expert. He serves as a member of the 8th Disciplinary Review Group of the Academic Degrees Committee of the State Council. A Fellow of the American Mathematical Society since 2017 and former Dean of the School of Mathematical Sciences at SJTU, Professor Li specializes in nonlinear partial differential equations, the calculus of variations, differential geometry, nonlinear analysis, and fluid dynamics. Having studied under the world-renowned mathematician Louis Nirenberg, he has produced world-class research in geometric analysis, fluid mechanics, and nonlinear partial differential and integral equations. His prolific career includes over 90 SCI-indexed papers published in prestigious journals such as Annals of Mathematics, Inventiones Mathematicae, and Communications on Pure and Applied Mathematics, with two academic monographs and a total citation count exceeding 5,000.
Title：Introduction to qualitative analysis of nonlocal PDEs
Abstract：This talk provides a preliminary introduction and reviews recent progress in the analysis of nonlocal problems. We mainly focus on problems associated with the fractional Laplacian. The key tools include various maximum principles, different versions of the method of moving planes, Liouville-type theorems, and the classification of solutions. We also discuss related results on a priori estimates and regularity theory. Main topics cover Hardy–Littlewood–Sobolev-type systems and geometric equations related to scalar curvature.
