| Abstract: | In the recent years, the study of Kahler-Ricci flow has been generalized substantially. The key change is to allow the evolution of Kahler class, by fully grasping the observation by Hamilton when introducing this flow. The main geometric motivation is Tian's Program, i.e. the geometric analysis version of the Minimal Model Program from algebraic geometry. The method developed by Kolodziej for the complex Monge-Ampere equation in pluripotential theory of several complex variables is playing the fundamental role in obtaining the crucial estimates. The combination of ideas and techniques from different major branches of pure mathematics has resulted in a very active research field, promoting interactions with related fields. |
