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Mathematics Colloquium


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


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