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Random matrices, integrability, and number theory - Lecture 1
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
Film maker : Hennenfent, GuillaumeLanguage : 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 
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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.19503503Cite 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 |
See Also
- [Multi angle] Operator limits of beta ensembles - Lecture 4 / Author of the conference Rider, Brian.
- [Multi angle] Random matrices, integrability, and number theory - Lecture 4 / Author of the conference Keating, Jonathan P..
- [Multi angle] Toeplitz determinants, Painlevé equations, and special functions. Part II: a Riemann-Hilbert point of view - Lecture 2 / Author of the conference Its, Alexander R..
- [Multi angle] Operator limits of beta ensembles - Lecture 3 / Author of the conference Rider, Brian.
- [Multi angle] Operator limits of beta ensembles - Lecture 2 / Author of the conference Rider, Brian.
- [Multi angle] Operator limits of beta ensembles - Lecture 1 / Author of the conference Rider, Brian.
- [Multi angle] Random matrices, integrability, and number theory - Lecture 3 / Author of the conference Keating, Jonathan P..
- [Multi angle] Random matrices, integrability, and number theory - Lecture 2 / Author of the conference Keating, Jonathan P..
- [Multi angle] Toeplitz determinants, Painlevé equations, and special functions. Part II: a Riemann-Hilbert point of view - Lecture 3 / Author of the conference Its, Alexander R..
- [Multi angle] Toeplitz determinants, Painlevé equations, and special functions. Part II: a Riemann-Hilbert point of view - Lecture 1 / Author of the conference Its, Alexander R..
- [Multi angle] Correlation functions for some integrable systems with random initial data, theory and computation - Lecture 2 / Author of the conference McLaughlin, Kenneth D. T.-R..
- [Multi angle] Correlation functions for some integrable systems with random initial data, theory and computation - Lecture 1 / Author of the conference Grava, Tamara.
- [Multi angle] Determinantal point processes - Lecture 3 / Author of the conference Bufetov, Alexander.
- [Multi angle] Determinantal point processes - Lecture 2 / Author of the conference Bufetov, Alexander.
- [Multi angle] Determinantal point processes - Lecture 1 / Author of the conference Bufetov, Alexander.
- [Multi angle] Toeplitz determinants, Painlevé equations, and special functions. Part I: an operator approach - Lecture 3 / Author of the conference Basor, Estelle.
- [Multi angle] Toeplitz determinants, Painlevé equations, and special functions. Part I: an operator approach - Lecture 2 / Author of the conference Basor, Estelle.
- [Multi angle] Toeplitz determinants, Painlevé equations, and special functions. Part I: an operator approach - Lecture 1 / Author of the conference Basor, Estelle.
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