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" Random Matrix Theory and the Riemann Zeta-Function"

Date:	Download-files:	Time:
Wednesday, 20 April 2022	Video-Recording for any system with MP4-support - Video.mp4 (ca. 534 Mb)	15:15 – 16:33

Speaker today: Jon Keating (University of Oxford)

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.

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