Français
Spaces of cubulations
Virtualconference
Authors : Fioravanti, Elia (Author of the conference)
CIRM (Publisher )
20F34 - Fundamental groups and their automorphisms
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
57-XX - Manifolds and cell complexes, {For complex manifolds, See 32C10}
CIRM (Publisher )
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Abstract :
The theory of group actions on CAT(0) cube complexes has exerted a strong influence on geometric group theory and low-dimensional topology in the last two decades. Indeed, knowing that a group G acts properly and cocompactly on a CAT(0) cube complex reveals a lot of its algebraic structure. However, in general, "cubulations'' are non-canonical and the group G can act on cube complexes in many different ways. It is thus natural to try and formulate a good notion of "space of all cubulations of G'', which would prove useful in the study of Out(G) for quite general groups G. I will describe some results in this direction, based on joint works with J. Beyrer and M. Hagen.
Keywords : geometric group theory; CAT(0) cube complex
MSC Codes : Keywords : geometric group theory; CAT(0) cube complex
20F34 - Fundamental groups and their automorphisms
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
57-XX - Manifolds and cell complexes, {For complex manifolds, See 32C10}
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 27/05/2020 Subseries : Research talks arXiv category : Geometric Topology ; Group Theory Mathematical Area(s) : Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:37:25 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-05-27_Fioravanti.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.19635903Cite this video as: Fioravanti, Elia (2020). Spaces of cubulations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19635903 URI : http://dx.doi.org/10.24350/CIRM.V.19635903 |
See Also
- [Virtualconference] Incoherence of free-by-free and surface-by-free groups / Author of the conference Walsh, Genevieve.
- [Virtualconference] Automorphism groups of Coxeter groups do not have Kazhdan's property (T) / Author of the conference Varghese, Olga.
- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Author of the conference Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Author of the conference Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Author of the conference Runnels, Ian.
- [Virtualconference] Parabolic subgroups of infinite type Artin groups / Author of the conference Morris-Wright, Rose.
- [Virtualconference] Quasi-actions and almost normal subgroups / Author of the conference Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Author of the conference Lonjou, Anne.
- [Virtualconference] Right-angled Coxeter groups commensurable to right-angled Artin groups / Author of the conference Levcovitz, Ivan.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Author of the conference Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Author of the conference Hoda, Nima.
- [Virtualconference] Spin mapping class groups and curve graphs / Author of the conference Hamenstädt, Ursula.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Author of the conference Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Author of the conference Balasubramanya, Sahana.
Bibliography
- BEYRER, Jonas et FIORAVANTI, Elia. Cross ratios on ${\rm CAT (0)} $ cube complexes and marked length-spectrum rigidity. arXiv preprint arXiv:1903.02447, 2019. - https://arxiv.org/abs/1903.02447
- BEYRER, Jonas et FIORAVANTI, Elia. Cross ratios and cubulations of hyperbolic groups. arXiv preprint arXiv:1810.08087, 2018. - https://arxiv.org/abs/1810.08087
- FIORAVANTI, Elia et HAGEN, Mark. Deforming cubulations of hyperbolic groups. arXiv preprint arXiv:1912.10999, 2019. - https://arxiv.org/abs/1912.10999
