Introduction to the Kahler-Ricci flow

Course 1: Quick introduction to the Kahler geometry

Course 2: Definition of KRF and some examples

Course 3: The maximal existence time theorem

Course 4: Converge theorem with negative, zero first Chern class.

Course 5: The Kahler-Ricci flow on Fano manifolds, Perelman’s $\mu$-entropy, and  Perelman’s estimate for scalar curvature

Course 6-8: Mabuchi’s K-energy, a converge theorem for KRF on Fano manifold admits Kahler-Ricci soliton.

Course 9-10: Brief introduction to Hamilton-Tian’s conjecture and Song-Tian’s analytic minimal model program with KRF.