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### 08.06.2009 (Monday)

#### Characteristic polynomials of random matrices: Why they are important

Regular Seminar Christopher Hughes (University of York)

 at: 16:00 Brunel U.room M128 abstract: In this talk I will show how the characteristic polynomial of a random unitary matrix has been successfully used in number theory to model the Riemann zeta function, and then I will present some new work re-interpreting and generalizing the previous random matrix results in a probabilistic setting. This is joint work with Paul Bourgade, Ashkan Nikeghbali and Marc Yor.