Lecture on the Kahler-Ricci flow
Student No.:50
Time:Tue./Thu. 10:10-12:00
Instructor:Huai-Dong Cao  [Lehigh University]
Place:Conference Room 3, Floor 2, Jin Chun Yuan West Building (First Class: Conference Room 1 on Floor 1)
Starting Date:2012-4-24
Ending Date:2012-5-17

Course description:
In this course we shall give an introduction to the Kahler-Ricci flow (KRF) on Fano manifolds. Topics include: long time existence of the normalized Kahler-Ricci flow (NKRF) on Fano manifolds; evolutions of the curvatures under KRF and Mok’s result on preserving the positivity of holomorphic bisectional curvature; The Li-Yau-Hamilton inequalities for the KRF and NKRF; Perelman’s mu-entropy; strong kappa-noncollapsing of the Ricci flow and KRF on compact manifolds; Perelman’s uniform scalar curvature and diameter estimates for NKRF; additional topics if time permits.


Basic Riemannian geometry and parabolic equations. Some basic knowledge of Kahler geometry will be helpful.