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Mathematics Colloquium

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Date:  Tuesday, September 16, 2008

Title:  Surgery constructions of Einstein metrics

Abstract:  The focus of the talk is a generalization of Thurston's Dehn surgery theory of hyperbolic 3-manifolds to Einstein manifolds of any dimension. The analogy is particularly strong in dimension 4, and gives rise to large new families of Einstein metrics, (as well as a new proof of Thurston's theory in dimension 3). To set the stage, we will discuss the idea of constructing smooth Einstein metrics by smoothing singular metrics (the singular perturbation or "gluing" method). Time permitting, we'll also discuss the possibility of other types of surgery or gluing methods for Einstein metrics.


Speaker:  Michael Anderson
Institution:  SUNY Stony Brook

 

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