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.
Keywords : Artin groups; FC-type Artin groups; parabolic subgroups; CAT(0) cube complex
Codes MSC : Keywords : 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 arXiv category : Group Theory Domaine : Topology Format : MP4 (.mp4) - HD Durée : 00:28:10 Audience : Researchers 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 Congrès : 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 |
Voir aussi
- [Virtualconference] Incoherence of free-by-free and surface-by-free groups / Auteur de la Conférence Walsh, Genevieve.
- [Virtualconference] Automorphism groups of Coxeter groups do not have Kazhdan's property (T) / Auteur de la Conférence Varghese, Olga.
- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Auteur de la Conférence Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Auteur de la Conférence Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Auteur de la Conférence Runnels, Ian.
- [Virtualconference] Quasi-actions and almost normal subgroups / Auteur de la Conférence Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Auteur de la Conférence Lonjou, Anne.
- [Virtualconference] Right-angled Coxeter groups commensurable to right-angled Artin groups / Auteur de la Conférence Levcovitz, Ivan.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Auteur de la Conférence Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Auteur de la Conférence Hoda, Nima.
- [Virtualconference] Spin mapping class groups and curve graphs / Auteur de la Conférence Hamenstädt, Ursula.
- [Virtualconference] Spaces of cubulations / Auteur de la Conférence Fioravanti, Elia.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Auteur de la Conférence Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Auteur de la Conférence Balasubramanya, Sahana.
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
