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Groups with Bowditch boundary a 2-sphere
Multi angle
Authors : Tshishiku, Bena (Author of the conference)
CIRM (Publisher )
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
57M07 - Topological methods in group theory
57M50 - Geometric structures on low-dimensional manifolds
CIRM (Publisher )
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Abstract :
Bestvina-Mess showed that the duality properties of a group $G$ are encoded in any boundary that gives a Z-compactification of $G$. For example, a hyperbolic group with Gromov boundary an $n$-sphere is a PD$(n+1)$ group. For relatively hyperbolic pairs $(G,P)$, the natural boundary - the Bowditch boundary - does not give a Z-compactification of G. Nevertheless we show that if the Bowditch boundary of $(G,P)$ is a 2-sphere, then $(G,P)$ is a PD(3) pair.
This is joint work with Genevieve Walsh.
MSC Codes : This is joint work with Genevieve Walsh.
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
57M07 - Topological methods in group theory
57M50 - Geometric structures on low-dimensional manifolds
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 07/03/2018 Conference Date : 27/02/2018 Subseries : Research talks arXiv category : Group Theory Mathematical Area(s) : Topology ; Geometry Format : MP4 (.mp4) - HD Video Time : 00:58:16 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-02-27_Tshishiku.mp4 
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Information on the Event
Event Title : Jean-Morlet chair: Structure of 3-manifold groups / Chaire Jean-Morlet : Structures des groupes de 3-variétésEvent Organizers : Haïssinsky, Peter ; Paoluzzi, Luisa ; Walsh, Genevieve Dates : 26/02/2018 - 02/03/2018 Event Year : 2018 Event URL : https://www.chairejeanmorlet.com/1904.html
Citation Data
DOI : 10.24350/CIRM.V.19368003Cite this video as: Tshishiku, Bena (2018). Groups with Bowditch boundary a 2-sphere. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19368003 URI : http://dx.doi.org/10.24350/CIRM.V.19368003 |
Bibliography
- Tshishiku, B., & Walsh, G. (2017). On groups with $S^2$ Bowditch boundary.
