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Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations
Multi angle
Authors : de la Salle, Mikael (Author of the conference)
CIRM (Publisher )
15A52 - Random matrices
46L05 - General theory of $C$*-algebras
46L54 - Free probability and free operator algebras
CIRM (Publisher )
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Abstract :
I will present a recent amazing new approach to norm convergence of random matrices due to Chen, Garza Vargas, Tropp, and van Handel, and the way Michael Magee and I apply and expand it, together with fine topological expansion, to obtain norm convergence for random matrix models coming from representations of SU(n) of quasi-exponential dimension.
MSC Codes : 15A52 - Random matrices
46L05 - General theory of $C$*-algebras
46L54 - Free probability and free operator algebras
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 04/11/2024 Conference Date : 10/10/2024 Subseries : Research talks arXiv category : Probability ; Group Theory ; Operator Algebras ; Representation Theory Mathematical Area(s) : Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:42:43 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-10-10_salle.mp4 
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Information on the Event
Event Title : Chaire Jean Morlet - Conference - Algebraic aspects of random matrices / Chaire Jean Morlet - Conference - Aspects algébriques des matrices aléatoiresEvent Organizers : Bordenave, Charles ; Capitaine, Mireille ; Chhaibi, Reda ; Collins, Benoît ; Defosseux, Manon ; Demni, Nizar Dates : 07/10/2024 - 11/10/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3052.html
Citation Data
DOI : 10.24350/CIRM.V.20255203Cite this video as: de la Salle, Mikael (2024). Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20255203 URI : http://dx.doi.org/10.24350/CIRM.V.20255203 |
See Also
- [Multi angle] The Fuglede-Kadison determinant of matrix-valued semicircular elements and the noncommutative Edmonds' problem / Author of the conference Mai, Tobias.
- [Multi angle] A formula for Wilson loop expectations in 2d Yang–Mills theory / Author of the conference Lévy, Thierry.
- [Multi angle] Large deviations for macroscopic observables of heavy-tailed matrices / Author of the conference Guionnet, Alice.
- [Multi angle] Linear eigenvalue statistics of polynomials in a Wigner matrix and a diagonal deterministic matrix / Author of the conference Dallaporta, Sandrine.
Bibliography
- MAGEE, Michael et DE LA SALLE, Mikael. Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations. arXiv preprint arXiv:2409.03626, 2024. - https://doi.org/10.48550/arXiv.2409.03626
Imagette Video
