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Research

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


 

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Events for 28 June 2018

A. Gamburd: Averages of Characteristic Polynomials from Classical Groups and L-functions

2:00pm, CM103

Following a celebrated conjecture of Keating and Snaith, expressing elusive moments of the Riemann zeta function on the critical line in terms of moments of characteristic polynomials of Haar-distributed matrices in U(N), much work has been devoted to computing the averages of products and ratios of characteristic polynomials of random matrices from classical groups. We will present an elementary and self-contained approach to this problem, using classical results due to Weyl and Littlewood, and will discuss some (provable) arithmetic applications.

Contact pankaj.vishe@durham.ac.uk, athanasios.bouganis@durham.ac.uk for more information about this event.