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Graduate Seminar
Andrew Zucker Carnegie Mellon University Title: The Unbreakable Hilbert Schmidt Abstract: In 1977, Furstenberg published a striking new proof of the celebrated 1975 result of Szemerezi: for any r > 0 and any k, there is N so that any subset of {1,2,...,N} of size at least rN has an arithmetic progression of length k. Furstenberg's proof made heavy use of the methods of ergodic theory and functional analysis. In this talk, we will discuss the class of HilbertSchmidt operators on a Hilbert space and see how they are used in Furstenberg's proof. Date: Tuesday, February 9, 2016 Time: 5:30 pm Location: Wean Hall 8220 Submitted by: Yangxi Ou Note: Video on Youtube: https://youtu.be/qzr7F2QtRdM 