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18/03/2014, 10:30 — 11:30 — Room P3.10, Mathematics Building

Jon Keating, *University of Bristol*

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Random Matrices and Number Theory

I will review conjectural connections between some important problems in analytic number theory, such as the Riemann Hypothesis, and random matrix theory, which plays a significant role in many areas of mathematical physics. These connections have had a major impact on our understanding of number-theoretic \(L\)-functions (e.g. the Riemann zeta-function).