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Kempner Colloquium
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\begin{Huge}\textsc{The geometry and topology of Ricci solitons}
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\begin{Large}\textbf{Ovidiu Munteanu}
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Columbia University
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Ricci solitons are special Riemannian manifolds that arise in the
study of Ricci flow, more prominently in the singularity analysis of the
flow. The classification of Ricci solitons in three dimensions has been
central for the Hamilton-Perelman proof of the Poincare conjecture. In this
talk I will survey some recent development in the study of Ricci solitons in
arbitrary dimension. I will begin with a brief introduction to Ricci flow
and the role of solitons in this theory. Then the talk will focus on the
structure of Ricci solitons and will include topics such as curvature and
volume growth control and the topology at infinity. Understanding the
solutions of certain partial differential equations is an important
instrument for our study.



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January 25, 2011

4:00 p.m.

MATH 350

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