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

Collection 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

Organizer(s) Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara

Date(s) 11/03/2019 - 15/03/2019

linked URL https://www.chairejeanmorlet.com/2105.html

00:00:00 / 00:00:00

12 19

Random matrices, integrability, and number theory - Lecture 4

By Jonathan P. Keating

Also appears in collection : Ecoles de recherche

I will give an overview of connections between Random Matrix TheoryandNumber 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.

Information about the video

Date of recording 13/03/2019
Date of publication 27/03/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19506203
Cite this video Keating, Jonathan P. (13/03/2019). Random matrices, integrability, and number theory - Lecture 4. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19506203
URL https://dx.doi.org/10.24350/CIRM.V.19506203

Domain(s)

Number Theory

MSC codes

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