F Nous contacter


0

Post-edited Characters, maps, free cumulants. Lecture 1: Characters, maps, free cumulants and Stanley character formula

Auteurs : Sniady, Piotr (Auteur de la Conférence)
CIRM (Editeur )

Loading the player...
asymptotic representation theory of symmetric groups examples of representations irreducible representations and Young diagrams sample problem: restriction to a subgroup relationship between character and shape normalized characters maps embedding of a map Stanley character formula free cumulants proof of Stanley formula questions of the audience

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 :
05A15 - Exact enumeration problems, generating functions
05C10 - Planar graphs; geometric and topological aspects of graph theory
05E10 - Combinatorial aspects of representation theory
05E15 - 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

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 17/01/17
    Date de captation : 09/01/17
    Collection : Research schools
    Format : MP4 (.mp4) - HD
    Durée : 01:29:39
    Domaine : Combinatorics
    Audience : Chercheurs ; Doctorants , Post - Doctorants ; Etudiants Science Cycle 2
    Download : http://videos.cirm-math.fr/2017-01-09_Sniady_Part1.mp4

Informations sur la rencontre

Nom du congrès : Winter pre-school on combinatorics and interactions / Ecole d'hiver combinatoire et interactions
Organisteurs Congrès : 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

Citation Data

DOI : 10.24350/CIRM.V.19102203
Cite this video as: 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

Bibliographie

  1. 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

  2. Sniady, P. (2012). Combinatorics of asymptotic representation theory. <arXiv:1203.6509> - https://arxiv.org/abs/1203.6509

  3. Sniady, P. (2014). Stanley character polynomials. <arXiv:1409.7533> - https://arxiv.org/abs/1409.7533



Z