Quasi-parabolic structures on groups | Vidéo | Carmin.tv

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Quasi-parabolic structures on groups

By Sahana Balasubramanya

Appears in collection : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes

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.

Information about the video

Date of recording 22/05/2020
Date of publication 01/06/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19635703
Cite this video Balasubramanya, Sahana (22/05/2020). Quasi-parabolic structures on groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19635703
URL https://dx.doi.org/10.24350/CIRM.V.19635703

Domain(s)

Bibliography

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2159/Slides/Balasubramanya.pdf

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