|Date: Tuesday, January 15, 2008
Title: Rainnich Lecture - Geometric analysis of low dimensional manifolds
Abstract: In these lectures, I will discuss how to study geometry and topology of low dimensional manifolds by analytic methods. I will start with classical uniformization theorem in differential geometry and explain how it can be used to studying surfaces and 3-manifolds. Then I will discuss briefly the Ricci flow and geometrization of 3-manifolds. Finally, I will discuss recent progress on metric geometry of 4-manifolds and its relation to topology of 4-manifolds. Some open problems will be also presented.
Speaker: Gang Tian
Institution: Princeton University