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Quasi-parabolic structures on groups
Virtualconference
Authors : Balasubramanya, Sahana (Author of the conference)
CIRM (Publisher )
20E08 - Groups acting on trees
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/Balasubramanya.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/Balasubramanya.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 22/05/2020 Subseries : Research talks arXiv category : Group Theory ; Geometric Topology Mathematical Area(s) : Algebra ; Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:35:31 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-05-22_Balasubramanya.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.19635703Cite this video as: 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 |
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Bibliography
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- 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
