國立清華大學 數學系

The Szego kernel is a classical subject in several complex variables, CR geometry and complex geometry. The study of the singularities of the Szego kernel is closely related to topics like Tian-Yau-Zelditch asymptotics, Donaldson's program, CR embedding problems, CR positive mass theorem, Sasaki geometry and Geometric quantization theory. In this talk, I will survey our results about the asymptotics of the singularities of the Szego kernel and its applications in CR and Complex geometry.