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Coarse Lipschitz embeddings of expander graphs and cotype

Friday 14th January 2011 - 16:30 to 17:30
INI Seminar Room 1
In this talk we will discuss recent results of M. Ostrovskii about embeddings of graphs into graphs of bounded degree and Lipschitz embeddings of expanders. Then we will show how we can adapt his construction to prove that there exists a family of expander graphs whose coarse Lipschitz embedding (a.k.a quasi-isometric embedding) into a Banach space forces the target space to have trivial cotype. One wants to mention that the proof does not require a ``metric cotype approach'' and uses only classical Banach space theory.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons