DEPARTMENT COLLOQUIUM

3/29/2006

Gang Tian
Princeton University

Geometry of lower dimensional manifolds

I will first review some classical facts on Riemann surfaces and their recent variations in geometric analysis. Then I will discuss Perelman's work on the Ricci flow and its application towards the Poincare conjecture. In the end, I will discuss geometric equations in dimension 4 and how they can be applied to studying geoemtry of 4-manifolds.