MATH 761: Seminar in Geometry (Fall 2007)

Instructor: Xiaodong Cao

Meeting Time & Room

This is a second course in the Ricci flow. In this course, we will focus more on analytic techniques. We will talk about Li-Yau-Hamilton type differential Harnack inequalities and their relations with Perelman's entropies, the maximum principle, derivative estimates, Perelman's non-collapsing result and singularity analysis, etc. The course does not depend on the previous one, basic knowledge of geometry and PDE in graduate course should be enough.