EnglishRepresentations of classical Lie groups: two growth regimes
Multi angle
Auteurs : Bufetov, Alexey (Auteur de la Conférence)
CIRM (Editeur )
05E10 - Combinatorial aspects of representation theory
22E45 - Representations of Lie and linear algebraic groups over real fields: analytic methods, {For the purely algebraic theory, See 20G05}
60B20 - Random matrices (probabilistic aspects)
60C05 - Combinatorial probability
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2104/Slides/Bufetov.pdf
CIRM (Editeur )
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Résumé :
Asymptotic representation theory deals with representations of groups of growing size. For classical Lie groups there are two distinguished regimes of growth. One of them is related to representations of infinite-dimensional groups, and the other appears in combinatorial and probabilistic questions. In the talk I will discuss differences and similarities between these two settings.
Keywords : free convolution; tensor product; lozenge tilings; normalised Shur function; infinite-dimensional unitary group; Perelomov-Popov measures; law of large numbers; enveloping algebra
Codes MSC : Keywords : free convolution; tensor product; lozenge tilings; normalised Shur function; infinite-dimensional unitary group; Perelomov-Popov measures; law of large numbers; enveloping algebra
05E10 - Combinatorial aspects of representation theory
22E45 - Representations of Lie and linear algebraic groups over real fields: analytic methods, {For the purely algebraic theory, See 20G05}
60B20 - Random matrices (probabilistic aspects)
60C05 - Combinatorial probability
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2104/Slides/Bufetov.pdf
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 09/05/2019 Date de captation : 10/04/2019 Sous collection : Research talks arXiv category : Probability ; Combinatorics Domaine : Probability & Statistics ; Algebra ; Combinatorics Format : MP4 (.mp4) - HD Durée : 00:49:42 Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-10_Bufetov.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial DataOrganisateurs de la rencontre : Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken Dates : 08/04/2019 - 12/04/2019 Année de la rencontre : 2019 URL Congrès : https://www.chairejeanmorlet.com/2104.html
Données de citation
DOI : 10.24350/CIRM.V.19516403Citer cette vidéo: Bufetov, Alexey (2019). Representations of classical Lie groups: two growth regimes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19516403 URI : http://dx.doi.org/10.24350/CIRM.V.19516403 |
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