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Jon Keating: Random Matrix Theory and the Riemann Zeta-Function

Time: Wed 2022-04-20 15.15 - 17.00

Location: Albanova, FR4 (Oskar Klein) and Zoom

Video link: Meeting ID: 675 7537 7531

Lecturer: Jon Keating (University of Oxford)

Location

FR4 (Oskar Klein), Albanova (directions available here ).

Schedule

14:15–15:00 Pre-colloquium  by Klara Courteaut in FB53 .

15:15–16:15 Colloquium lecture by Jon Keating.
16:15–17:00 SMC social get together with refreshments.

Abstract

I will review connections, first conjectured 50 years ago, between random matrices and the Riemann zeta-function. These concern, for example, the statistical distribution of the zeros of the zeta function and the values the zeta function takes on the line where the Riemann Hypothesis asserts all its zeros lie. This connection has stimulated a good deal of research both in Random Matrix Theory and Number Theory, with a particular focus recently on extreme values.

Video recording of lecture