Characters, maps, free cumulants. Lecture 3: Characters, maps, free cumulants and Kerov character polynomials | Vidéo | Carmin.tv

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Characters, maps, free cumulants. Lecture 3: Characters, maps, free cumulants and Kerov character polynomials

By Piotr Sniady

Appears in collections : Winter pre-school on combinatorics and interactions / Ecole d'hiver combinatoire et interactions, Ecoles de recherche

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.

Information about the video

Date of recording 10/01/2017
Date of publication 17/01/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19102803
Cite this video Sniady, Piotr (10/01/2017). Characters, maps, free cumulants. Lecture 3: Characters, maps, free cumulants and Kerov character polynomials. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19102803
URL https://dx.doi.org/10.24350/CIRM.V.19102803

Domain(s)

Bibliography

Dolega, M., Féray, V., & Sniady, P. (2010).Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations. Advances in Mathematics, 225(1), 81-120 - http://dx.doi.org/10.1016/j.aim.2010.02.011
Sniady, P. (2012). Combinatorics of asymptotic representation theory. <arXiv:1203.6509> - https://arxiv.org/abs/1203.6509
Sniady, P. (2014) Stanley character polynomials. <arXiv:1409.7533> - https://arxiv.org/abs/1409.7533

MSC codes

Document(s)

http://psniady.impan.pl/127.0.0.1/data/uploads/CIRM-2017/Lecture03.pdf

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