Diff. Geom, Math. Phys., PDE Seminar: Weiyong He

Complex Monge-Ampere (CMA) equation is of fundamental importance in Kahler geometry. We will discuss regularity results for two versions of complex Monge-Ampere equation which are extensively studied in Kahler geometry. The first is the classical CMA equation solved by S.T. Yau in 1970s to prove the Calabi conjecture. The second  is a homogenous complex Monge-Ampere, which is known as a geodesic equation of the space of Kahler metrics.