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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 Hilbert-Schmidt 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