English
Spaces of cubulations
Virtualconference
Auteurs : Fioravanti, Elia (Auteur de la Conférence)
CIRM (Editeur )
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 (Editeur )
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Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 01/06/2020 Date de captation : 27/05/2020 Sous collection : Research talks arXiv category : Geometric Topology ; Group Theory Domaine : Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 00:37:25 Audience : Researchers Download : https://videos.cirm-math.fr/2020-05-27_Fioravanti.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesOrganisateurs de la rencontre : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen Dates : 01/06/2020 - 05/06/2020 Année de la rencontre : 2020 URL Congrès : https://conferences.cirm-math.fr/virtual...
Données de citation
DOI : 10.24350/CIRM.V.19635903Citer cette vidéo: 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 |
Voir aussi
- [Virtualconference] Incoherence of free-by-free and surface-by-free groups / Auteur de la Conférence Walsh, Genevieve.
- [Virtualconference] Automorphism groups of Coxeter groups do not have Kazhdan's property (T) / Auteur de la Conférence Varghese, Olga.
- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Auteur de la Conférence Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Auteur de la Conférence Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Auteur de la Conférence Runnels, Ian.
- [Virtualconference] Parabolic subgroups of infinite type Artin groups / Auteur de la Conférence Morris-Wright, Rose.
- [Virtualconference] Quasi-actions and almost normal subgroups / Auteur de la Conférence Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Auteur de la Conférence Lonjou, Anne.
- [Virtualconference] Right-angled Coxeter groups commensurable to right-angled Artin groups / Auteur de la Conférence Levcovitz, Ivan.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Auteur de la Conférence Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Auteur de la Conférence Hoda, Nima.
- [Virtualconference] Spin mapping class groups and curve graphs / Auteur de la Conférence Hamenstädt, Ursula.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Auteur de la Conférence Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Auteur de la Conférence Balasubramanya, Sahana.
Bibliographie
- 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
