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Parabolic subgroups of infinite type Artin groups
Virtualconference
Authors : Morris-Wright, Rose (Author of the conference)
CIRM (Publisher )
20F36 - Braid groups; Artin groups
20F65 - Geometric group theory
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/Lonjou_virtual_conference.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : Keywords : Artin groups; FC-type Artin groups; parabolic subgroups; CAT(0) cube complex
20F36 - Braid groups; Artin groups
20F65 - Geometric group theory
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/Lonjou_virtual_conference.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 20/05/2020 Subseries : Research talks arXiv category : Group Theory Mathematical Area(s) : Topology Format : MP4 (.mp4) - HD Video Time : 00:28:10 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-20_Morris_Wright.mp4 
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Information on the Event
Event Title : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesEvent Organizers : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen Dates : 01/06/2020 - 05/06/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/virtual...
Citation Data
DOI : 10.24350/CIRM.V.19636603Cite this video as: 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 |
See Also
- [Virtualconference] Incoherence of free-by-free and surface-by-free groups / Author of the conference Walsh, Genevieve.
- [Virtualconference] Automorphism groups of Coxeter groups do not have Kazhdan's property (T) / Author of the conference Varghese, Olga.
- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Author of the conference Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Author of the conference Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Author of the conference Runnels, Ian.
- [Virtualconference] Quasi-actions and almost normal subgroups / Author of the conference Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Author of the conference Lonjou, Anne.
- [Virtualconference] Right-angled Coxeter groups commensurable to right-angled Artin groups / Author of the conference Levcovitz, Ivan.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Author of the conference Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Author of the conference Hoda, Nima.
- [Virtualconference] Spin mapping class groups and curve graphs / Author of the conference Hamenstädt, Ursula.
- [Virtualconference] Spaces of cubulations / Author of the conference Fioravanti, Elia.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Author of the conference Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Author of the conference Balasubramanya, Sahana.
Bibliography
- 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
