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Random matrices, integrability, and number theory - Lecture 1

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Authors : Keating, Jonathan P. (Author of the conference)
CIRM (Publisher )

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Abstract : I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an important role. These include the statistics of extreme values and connections with the theory of log-correlated Gaussian fields.

MSC Codes :
11M06 - $ \zeta (s)$ and $L(s, \chi)$
11Z05 - Miscellaneous applications of number theory
15B52 - Random matrices

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 27/03/2019
    Conference Date : 11/03/2019
    Subseries : Research School
    arXiv category : Mathematical Physics ; Number Theory ; Rings and Algebras
    Mathematical Area(s) : Analysis and its Applications ; Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 00:51:08
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2019-03-11_keating_Part1.mp4

Information on the Event

Event Title : Jean-Morlet chair - Research school: Coulomb gas, integrability and Painlevé equations / Chaire Jean-Morlet - École de recherche : Gaz de Coulomb, intégrabilité et équations de Painlevé
Event Organizers : Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara
Dates : 11/03/2019 - 15/03/2019
Event Year : 2019
Event URL : https://www.chairejeanmorlet.com/2105.html

Citation Data

DOI : 10.24350/CIRM.V.19503503
Cite this video as: Keating, Jonathan P. (2019). Random matrices, integrability, and number theory - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19503503
URI : http://dx.doi.org/10.24350/CIRM.V.19503503

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