Complexes of parabolic subgroups for Artin groups | Vidéo | Carmin.tv

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Complexes of parabolic subgroups for Artin groups

De Maria Cumplido Cabello

Apparaît dans la collection : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes

One of the main examples of Artin groups are braid groups. We can use powerful topological methods on braid groups that come from the action of braid on the curve complex of the n-puctured disk. However, these methods cannot be applied in general to Artin groups. In this talk we explain how we can construct a complex for Artin groups, which is an analogue to the curve complex in the braid case, by using parabolic subgroups.

Informations sur la vidéo

Date de captation 22/05/2020
Date de publication 01/06/2020
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19635803
Citer cette vidéo Cumplido Cabello, Maria (22/05/2020). Complexes of parabolic subgroups for Artin groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19635803
URL https://dx.doi.org/10.24350/CIRM.V.19635803

Domaine(s)

Bibliographie

ANTOLÍN, Yago et CUMPLIDO, María. Parabolic subgroups acting on the additional length graph. arXiv preprint arXiv:1906.06325, 2019. - https://arxiv.org/abs/1906.06325
CALVEZ, Matthieu, DE LA CRUZ, Bruno A. Cisneros, et CUMPLIDO, María. Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type. Journal of Algebra, 2020. - https://doi.org/10.1016/j.jalgebra.2020.03.017
CALVEZ, Matthieu et DE LA CRUZ, Bruno A. Cisneros. Curve graphs for Artin-Tits groups of type $ B $, $\widetilde A $ and $\widetilde C $ are hyperbolic. arXiv preprint arXiv:2003.04796, 2020. - https://arxiv.org/abs/2003.04796
CALVEZ, Matthieu et WIEST, Bert. Hyperbolic structures for Artin-Tits groups of spherical type. arXiv preprint arXiv:1904.02234, 2019. - https://arxiv.org/abs/1904.02234
CHARNEY, Ruth et PARIS, Luis. Convexity of parabolic subgroups in Artin groups. Bull. of the London Math. Soc., 2014. - https://doi.org/10.1112/blms/bdu077
CUMPLIDO, María, GEBHARDT, Volker, GONZÁLEZ-MENESES, Juan, et al. On parabolic subgroups of Artin–Tits groups of spherical type. Advances in Mathematics, 2019, vol. 352, p. 572-610. - https://doi.org/10.1016/j.aim.2019.06.010
DAVIS, Michael W. et HUANG, Jingyin. Bordifications of hyperplane arrangements and their curve complexes. arXiv preprint arXiv:2003.13553, 2020. - https://arxiv.org/abs/2003.13553
FARB, Benson et MARGALIT, Dan. A primer on mapping class groups (pms-49). Princeton University Press, 2011.
GODELLE, Eddy. Normalisateur et groupe d'Artin de type sphérique. Journal of Algebra, 2003, vol. 269, no 1, p. 263-274. - https://doi.org/10.1016/S0021-8693(03)00529-5
GONZÁLEZ-MENESES, Juan. Geometric embeddings of braid groups do not merge conjugacy classes. Boletín de la Sociedad Matemática Mexicana, 2014, vol. 20, no 2, p. 297-305. - https://doi.org/10.1007/s40590-014-0018-6
MORRIS-WRIGHT, Rose. Parabolic subgroups of Artin groups of FC type. arXiv preprint arXiv:1906.07058, 2019. - https://arxiv.org/abs/1906.07058
PARIS, Luis. Parabolic subgroups of Artin groups. Journal of Algebra, 1997, vol. 196, no 2, p. 369-399. - https://doi.org/10.1006/jabr.1997.7098

Codes MSC

Document(s)

https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/cumplido_luminyvirtual.pdf

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