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Homomorphisms to 3-manifold groups and other families
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Authors : Groves, Daniel (Author of the conference)
CIRM (Publisher )
20E08 - Groups acting on trees
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
57M07 - Topological methods in group theory
57N10 - Topology of general 3-manifolds
CIRM (Publisher )
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Abstract :
We are interested in the structure of the set of homomorphisms from a fixed (but arbitrary) finitely generated group G to the groups in some fixed family (such as the family of 3-manifold groups). I will explain what one might hope to say in different situations, and explain some applications to relatively hyperbolic groups and acylindrically hyperbolic groups, and some hoped-for applications to 3-manifold groups.
This is joint work with Michael Hull and joint work in preparation with Michael Hull and Hao Liang.
MSC Codes : This is joint work with Michael Hull and joint work in preparation with Michael Hull and Hao Liang.
20E08 - Groups acting on trees
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
57M07 - Topological methods in group theory
57N10 - Topology of general 3-manifolds
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 07/03/2018 Conference Date : 01/03/2018 Subseries : Research talks arXiv category : Geometric Topology ; Group Theory Mathematical Area(s) : Topology ; Geometry Format : MP4 (.mp4) - HD Video Time : 00:57:08 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-03-01_Groves.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.19368503Cite this video as: Groves, Daniel (2018). Homomorphisms to 3-manifold groups and other families. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19368503 URI : http://dx.doi.org/10.24350/CIRM.V.19368503 |
Bibliography
- Groves, D., & Hull, M. (2017). Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families.
