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Thursday, November 6, 2014

**Abstract:** A common problem in metric space geometry is to embed a given space in a well-known model space under a sufficiently nice mapping. In the case of this talk, we consider bilipschitz embeddings into Euclidean space. We prove a theorem giving sufficient conditions for such an embedding in terms of the sectional curvature of the space. As an application, we offer a new proof of Seo's recent result that the Grushin plane is bilipschitzly embeddable in some Euclidean space. This talk should be accessible to all graduate students.