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Monodromy dependence of Painlevé tau functions
Multi angle
Authors : Lisovyi, Oleg (Author of the conference)
CIRM (Publisher )
34E10 - Perturbations, asymptotics
34M35 - Singularities, monodromy, local behavior of solutions, normal forms
34M55 - Painlevé and other special equations; classification, hierarchies
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Lisovyi-CIRM2019.pdf
CIRM (Publisher )
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Abstract :
In many interesting cases, distribution functions of random matrix theory and correlation functions of integrable models of statistical mechanics and quantum field theory are given by tau functions of Painlevé equations. I will discuss an extension of the Jimbo-Miwa-Ueno differential to the space of monodromy data and explain how this construction can be used to compute constant terms in the tau function asymptotics.
MSC Codes : 34E10 - Perturbations, asymptotics
34M35 - Singularities, monodromy, local behavior of solutions, normal forms
34M55 - Painlevé and other special equations; classification, hierarchies
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Lisovyi-CIRM2019.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/05/2019 Conference Date : 08/04/2019 Subseries : Research talks arXiv category : Mathematical Physics Mathematical Area(s) : Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:57:10 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-08_Lisovyi.mp4 
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Information on the Event
Event Title : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial DataEvent Organizers : Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken Dates : 08/04/2019 - 12/04/2019 Event Year : 2019 Event URL : https://www.chairejeanmorlet.com/2104.html
Citation Data
DOI : 10.24350/CIRM.V.19515003Cite this video as: Lisovyi, Oleg (2019). Monodromy dependence of Painlevé tau functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19515003 URI : http://dx.doi.org/10.24350/CIRM.V.19515003 |
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