Lecture notes on the K\"ahler-Ricci flow
  These lecture notes give an introduction to the Kahler-Ricci flow. They are based on lectures given by the authors at the conference "Analytic Aspects of Complex Algebraic Geometry", held at the Centre International de Rencontres Mathematiques in Luminy, in February 2011. 
Jian Song and Ben Weinkove
math.DG