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Characters, maps, free cumulants. Lecture 2: Characters, maps, free cumulants and randoms Young diagrams
Multi angle
Authors : Sniady, Piotr (Author of the conference)
CIRM (Publisher )
05A15 - Exact enumeration problems, generating functions
05D05 - Extremal set theory
20E22 - Extensions, wreath products, and other compositions of groups
43A65 - Representations of groups, semigroups, etc.
46L54 - Free probability and free operator algebras
Additional resources :
http://psniady.impan.pl/127.0.0.1/data/uploads/CIRM-2017/Lecture02.pdf
CIRM (Publisher )
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Abstract :
- Normalized characters of the symmetric groups,
- Kerov polynomials and Kerov positivity conjecture,
- Stanley character polynomials and multirectangular coordinates of Young diagrams,
- Stanley character formula and maps,
- Jack characters
- characterization, partial results.
MSC Codes : - Kerov polynomials and Kerov positivity conjecture,
- Stanley character polynomials and multirectangular coordinates of Young diagrams,
- Stanley character formula and maps,
- Jack characters
- characterization, partial results.
05A15 - Exact enumeration problems, generating functions
05D05 - Extremal set theory
20E22 - Extensions, wreath products, and other compositions of groups
43A65 - Representations of groups, semigroups, etc.
46L54 - Free probability and free operator algebras
Additional resources :
http://psniady.impan.pl/127.0.0.1/data/uploads/CIRM-2017/Lecture02.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/01/17 Conference Date : 09/01/17 Subseries : Research School arXiv category : Combinatorics ; Representation Theory Mathematical Area(s) : Combinatorics Format : MP4 (.mp4) - HD Video Time : 01:27:18 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-01-09_Sniady_Part2.mp4 
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Information on the Event
Event Title : Winter pre-school on combinatorics and interactions / Ecole d'hiver combinatoire et interactionsEvent Organizers : Bouttier, Jérémie ; Chapuy, Guillaume ; Duchi, Enrica Dates : 09/01/17 - 13/01/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1554.html
Citation Data
DOI : 10.24350/CIRM.V.19102703Cite this video as: Sniady, Piotr (2017). Characters, maps, free cumulants. Lecture 2: Characters, maps, free cumulants and randoms Young diagrams. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19102703 URI : http://dx.doi.org/10.24350/CIRM.V.19102703 |
See Also
- [Multi angle] Flat surfaces and combinatorics / Author of the conference Goujard, Élise.
- [Multi angle] A new spectral theory for Schur polynomials and applications / Author of the conference Moll, Alexander.
- [Multi angle] Characters, maps, free cumulants. Lecture 3: Characters, maps, free cumulants and Kerov character polynomials / Author of the conference Sniady, Piotr.
- [Post-edited] Characters, maps, free cumulants. Lecture 1: Characters, maps, free cumulants and Stanley character formula / Author of the conference Sniady, Piotr.
Bibliography
- Novak, J., & Sniady, P. (2011). What is ...a free cumulant? Notices of the American Mathematical Society, 58(2), 300-301 - http://www.ams.org/notices/201102/rtx110200300p.pdf
- Sniady, P. (2006). Gaussian fluctuations of representations of wreath products. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 9(4), 529-546 - http://dx.doi.org/10.1142/S0219025706002524
- Sniady, P. (2012). Combinatorics of asymptotic representation theory.
