Title: Ricci flow and analysis
Speaker: Professor Xiaodong Cao (Cornell University)
Lecture 1:
Time: 10:00-11:30 May 7, 2012
Room: Room 102, Mathematics Department
Lecture 2:
Time: 10:00-11:30 May 9, 2012
Room: Room 102, Mathematics Department
Lecture 3:
Time: 13:00-14:30 May 10, 2012
Room: Room 102, Mathematics Department
Lecture 4:
Time: 10:00-11:30 May 21, 2012
Room: Room 102, Mathematics Department
Lecture 5:
Time: 10:00-11:30 May 23, 2012
Room: Room 102, Mathematics Department
Abstract:
In this series of lectures, we will start with a brief introduction of
the Ricci flow, by surveying some well-known theorems and fundamental
techniques in this field. Then we will discuss formation of
singularities, ancient solutions and Ricci solitons. Finally we will
focus on some analytic aspects of the Ricci flow, such as Harnack
inequalities, curvature pinching estimate, heat kernel estimate and
their applications.
