English
Parabolic subgroups of infinite type Artin groups
Virtualconference
Auteurs : Morris-Wright, Rose (Auteur de la conférence)
CIRM (Editeur )
20F36 - Braid groups; Artin groups
20F65 - Geometric group theory
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2159/Slides/Lonjou_virtual_conference.pdf
CIRM (Editeur )
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Résumé :
Parabolic subgroups are the fundamental building blocks of Artin groups. These subgroups are isomorphic copies of smaller Artin groups nested inside a given Artin group. In this talk, I will discuss questions surrounding how parabolic subgroups sit inside Artin groups and how they interact with each other. I will show that, in an FC type Artin group, the intersection of two finite type parabolic subgroups is a parabolic subgroup. I will also discuss how parabolic subgroups might be used to construct a simplicial complex for Artin groups similar to the curve complex for mapping class groups. This talk will focus on using geometric techniques to generalize results known for finite type Artin groups to Artin groups of FC type.
Mots-Clés : Artin groups; FC-type Artin groups; parabolic subgroups; CAT(0) cube complex
Codes MSC : Mots-Clés : Artin groups; FC-type Artin groups; parabolic subgroups; CAT(0) cube complex
20F36 - Braid groups; Artin groups
20F65 - Geometric group theory
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2159/Slides/Lonjou_virtual_conference.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 01/06/2020 Date de Captation : 20/05/2020 Sous Collection : Research talks Catégorie arXiv : Group Theory Domaine(s) : Topologie Format : MP4 (.mp4) - HD Durée : 00:28:10 Audience : Chercheurs Download : https://videos.cirm-math.fr/ 2020-05-20_Morris_Wright.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesOrganisateurs de la Rencontre : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen Dates : 01/06/2020 - 05/06/2020 Année de la rencontre : 2020 URL de la Rencontre : https://conferences.cirm-math.fr/virtual...
Données de citation
DOI : 10.24350/CIRM.V.19636603Citer cette vidéo: Morris-Wright, Rose (2020). Parabolic subgroups of infinite type Artin groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19636603 URI : http://dx.doi.org/10.24350/CIRM.V.19636603 |
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Bibliographie
- 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
- 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://arxiv.org/abs/1712.06727
- MORRIS-WRIGHT, Rose. Parabolic subgroups of Artin groups of FC type. arXiv preprint arXiv:1906.07058, 2019. - https://arxiv.org/abs/1906.07058
