|Lecture on the Kahler-Ricci flow|
|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)|
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.