Geometric Analysis and Topology Seminar

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Quantitative bi-Lipschitz Embeddings of Bounded Curvature Manifolds and Orbifolds

Speaker: Sylvester Eriksson-Bique, NYU

Location: Warren Weaver Hall 517

Date: Friday, November 20, 2015, 11 a.m.

Synopsis:

In this talk we will outline a multi-scale method for constructing bi-Lipschitz embeddings for bounded curvature manifolds and orbifolds. The results heavily rely on ideas from collapsing theory. We outline two proofs; one based solely on collapsing theory and a more algebraic proof. The algebraic approach leads to more quantitative collapsing theory results for certain model spaces, and thus permits us to give some explicit bounds for the bi-Lipschitz constants.