English
Characters, maps, free cumulants. Lecture 1: Characters, maps, free cumulants and Stanley character formula
Post-edited
Auteurs : Sniady, Piotr (Auteur de la Conférence)
CIRM (Editeur )
05A15 - Exact enumeration problems, generating functions
05C10 - Planar graphs; geometric and topological aspects of graph theory
05E10 - Combinatorial aspects of representation theory
05E16 - Combinatorial aspects of groups and algebras
20C30 - Representations of finite symmetric groups
Ressources complémentaires :
http://psniady.impan.pl/127.0.0.1/data/uploads/CIRM-2017/Lecture01.pdf
CIRM (Editeur )
Résumé :
- 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.
Codes MSC : - 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
05C10 - Planar graphs; geometric and topological aspects of graph theory
05E10 - Combinatorial aspects of representation theory
05E16 - Combinatorial aspects of groups and algebras
20C30 - Representations of finite symmetric groups
Ressources complémentaires :
http://psniady.impan.pl/127.0.0.1/data/uploads/CIRM-2017/Lecture01.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 17/01/17 Date de captation : 09/01/17 Sous collection : Research School arXiv category : Combinatorics Domaine : Combinatorics Format : MP4 (.mp4) - HD Durée : 01:29:39 Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2017-01-09_Sniady_Part1.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Winter pre-school on combinatorics and interactions / Ecole d'hiver combinatoire et interactionsOrganisateurs de la rencontre : Bouttier, Jérémie ; Chapuy, Guillaume ; Duchi, Enrica Dates : 09/01/17 - 13/01/17 Année de la rencontre : 2017 URL Congrès : http://conferences.cirm-math.fr/1554.html
Données de citation
DOI : 10.24350/CIRM.V.19102203Citer cette vidéo: Sniady, Piotr (2017). Characters, maps, free cumulants. Lecture 1: Characters, maps, free cumulants and Stanley character formula. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19102203 URI : http://dx.doi.org/10.24350/CIRM.V.19102203 |
Voir aussi
- [Multi angle] Flat surfaces and combinatorics / Auteur de la Conférence Goujard, Élise.
- [Multi angle] A new spectral theory for Schur polynomials and applications / Auteur de la Conférence Moll, Alexander.
- [Multi angle] Characters, maps, free cumulants. Lecture 3: Characters, maps, free cumulants and Kerov character polynomials / Auteur de la Conférence Sniady, Piotr.
- [Multi angle] Characters, maps, free cumulants. Lecture 2: Characters, maps, free cumulants and randoms Young diagrams / Auteur de la Conférence Sniady, Piotr.
Bibliographie
- Féray, V., & Sniady, P. (2011). Asymptotics of characters of symmetric groups related to Stanley character formula. Annals of Mathematics. Second Series, 173(2), 887-906 - http://dx.doi.org/10.4007/annals.2011.173.2.6
- Sniady, P. (2012). Combinatorics of asymptotic representation theory.
- Sniady, P. (2014). Stanley character polynomials.
