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Representations of classical Lie groups: two growth regimes
Multi angle
Authors : Bufetov, Alexey (Author of the conference)
CIRM (Publisher )
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
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Bufetov.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Bufetov.pdf
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 09/05/2019 Conference Date : 10/04/2019 Subseries : Research talks arXiv category : Probability ; Combinatorics Mathematical Area(s) : Probability & Statistics ; Algebra ; Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:49:42 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-10_Bufetov.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.19516403Cite this video as: 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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