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Theory Seminar: On the Rank of Design Matrices with Applications
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Amir Yehudaioff (Mathematics, Technion)
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Wednesday, 30.3.2011, 12:30
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Room 337-8 Taub Bld.
A design matrix is a matrix whose attern of zeos/nonzeros satisfies a certain design-like condition. We will first prove that the rank of any design matrix is high.

We shall discuss two applications of this rank lower bound: (1) Impossibility results for 2-query locally correctable codes over real/complex numbers, and (2) generalization of results in combinatorial geometry, for example, a robust analog of the Sylvester-Gallai theorem.

Joint work with Boaz Barak, Zeev Dvir and Avi Wigderson.
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