FrançaisRandom matrices, integrability, and number theory - Lecture 4
Multi angle
Authors : Keating, Jonathan P. (Author of the conference)
CIRM (Publisher )
11M06 - $ \zeta (s)$ and $L(s, \chi)$
11Z05 - Miscellaneous applications of number theory
15B52 - Random matrices
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
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Information on the Video
Language : EnglishAvailable date : 27/03/2019 Conference Date : 13/03/2019 Subseries : Research School arXiv category : Number Theory Mathematical Area(s) : Analysis and its Applications ; Number Theory Format : MP4 (.mp4) - HD Video Time : 00:59:07 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2019-03-13_Keating_Part4.mp4 
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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 PainlevéEvent 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.19506203Cite this video as: Keating, Jonathan P. (2019). Random matrices, integrability, and number theory - Lecture 4. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19506203 URI : http://dx.doi.org/10.24350/CIRM.V.19506203 |
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