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An introduction to singularity analysis for Ricci flowBennett Chow, University of California, San DiegoAbstract: Ricci flow is a geometric evolution equation which deforms Riemannian metrics by a heat type equation. In general the metric does not remain smooth for all time and singularities develop. When this happens in finite time the curvature of the metrics tend to infinity. In singularity analysis one hopes to understand the geometric and topological structure of these high curvature regions. We will survey some of the techniques used to study singularities.
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