English
Quasi-parabolic structures on groups
Virtualconference
Auteurs : Balasubramanya, Sahana (Auteur de la Conférence)
CIRM (Editeur )
20E08 - Groups acting on trees
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2159/Slides/Balasubramanya.pdf
CIRM (Editeur )
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Résumé :
The study of the poset of hyperbolic structures H(G) on a group G was initiated by Abbott-Balasubramanya-Osin. However, the sub-poset of quasi- parabolic structures is still very far from being understood and several questions remain unanswered.
In this talk, I will talk about the motivation behind our work, describe some structural results related to quasi-parabolic structures and thus answer some of the open questions. I will end my talk by discussing ongoing work in the area.
This talk contains some joint work with C.Abbott, D.Osin and A.Rasmussen.
Keywords : comparing group actions on hyperbolic spaces; hyperbolic structures; quasi-parabolic actions; semi-direct products
Codes MSC : In this talk, I will talk about the motivation behind our work, describe some structural results related to quasi-parabolic structures and thus answer some of the open questions. I will end my talk by discussing ongoing work in the area.
This talk contains some joint work with C.Abbott, D.Osin and A.Rasmussen.
Keywords : comparing group actions on hyperbolic spaces; hyperbolic structures; quasi-parabolic actions; semi-direct products
20E08 - Groups acting on trees
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2159/Slides/Balasubramanya.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 01/06/2020 Date de captation : 22/05/2020 Sous collection : Research talks arXiv category : Group Theory ; Geometric Topology Domaine : Algebra ; Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 00:35:31 Audience : Researchers Download : https://videos.cirm-math.fr/2020-05-22_Balasubramanya.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.19635703Citer cette vidéo: Balasubramanya, Sahana (2020). Quasi-parabolic structures on groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19635703 URI : http://dx.doi.org/10.24350/CIRM.V.19635703 |
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] Parabolic subgroups of infinite type Artin groups / Auteur de la Conférence Morris-Wright, Rose.
- [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.
Bibliographie
- ABBOTT, Carolyn, BALASUBRAMANYA, Sahana, et OSIN, Denis. Hyperbolic structures on groups. Algebraic & Geometric Topology, 2019, vol. 19, no 4, p. 1747-1835. - https://doi.org/10.2140/agt.2019.19.1747
- ABBOTT, Carolyn R. et RASMUSSEN, Alexander J. Largest hyperbolic actions and quasi-parabolic actions in groups. arXiv preprint arXiv:1910.14157, 2019. - https://arxiv.org/abs/1910.14157
- ABBOTT, Carolyn R. et RASMUSSEN, Alexander J. Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces. arXiv preprint arXiv:1906.04227, 2019. - https://arxiv.org/abs/1910.14157
- BALASUBRAMANYA, Sahana H. Hyperbolic structures on wreath products. Journal of Group Theory, 2020, vol. 23, no 2, p. 357-383. - https://doi.org/10.1515/jgth-2018-0176
- Caprace Pierre-Emmanuel, de Cornulier Yves, Monod Nicolas, Tessera Romain: Amenable hyperbolic groups. J. Eur. Math. Soc. 17 (2015), 2903-2947 - http://dx.doi.org/10.4171/JEMS/575
- GROMOV, Mikhael. Hyperbolic groups. In : Essays in group theory. Springer, New York, NY, 1987. p. 75-263. - http://dx.doi.org/10.1007/978-1-4613-9586-7_3
- HAMANN, Matthias. Group actions on metric spaces: fixed points and free subgroups. arXiv preprint arXiv:1301.6513, 2013. - https://arxiv.org/abs/1301.6513
- MANNING, Jason Fox. Actions of certain arithmetic groups on Gromov hyperbolic spaces. Algebraic & Geometric Topology, 2008, vol. 8, no 3, p. 1371-1402. - http://dx.doi.org/10.2140/agt.2008.8.1371
- MANNING, Jason Fox. Quasi-actions on trees and Property (QFA). Journal of the London Mathematical Society, 2006, vol. 73, no 1, p. 84-108. - https://doi.org/10.1112/S0024610705022738
