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Characters, maps, free cumulants. Lecture 1: Characters, maps, free cumulants and Stanley character formula
Post-edited
Authors : Sniady, Piotr (Author of the conference)
CIRM (Publisher )
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
Additional resources :
http://psniady.impan.pl/127.0.0.1/data/uploads/CIRM-2017/Lecture01.pdf
CIRM (Publisher )
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
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
Additional resources :
http://psniady.impan.pl/127.0.0.1/data/uploads/CIRM-2017/Lecture01.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 Mathematical Area(s) : Combinatorics Format : MP4 (.mp4) - HD Video Time : 01:29:39 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2017-01-09_Sniady_Part1.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.19102203Cite 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 |
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.
- [Multi angle] Characters, maps, free cumulants. Lecture 2: Characters, maps, free cumulants and randoms Young diagrams / Author of the conference Sniady, Piotr.
Bibliography
- 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.
