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Shortcut graphs and groups
Virtualconference
Authors : Hoda, Nima (Author of the conference)
CIRM (Publisher )
05C12 - Distance in graphs
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
Additional resources :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/short.pdf
CIRM (Publisher )
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Abstract :
Shortcut graphs are graphs in which long enough cycles cannot embed without metric distortion. Shortcut groups are groups which act properly and cocompactly on shortcut graphs. These notions unify a surprisingly broad family of graphs and groups of interest in geometric group theory and metric graph theory including: systolic and quadric groups (in particular finitely presented C(6) and C(4)-T(4) small cancellation groups), cocompactly cubulated groups, hyperbolic groups, Coxeter groups and the Baumslag-Solitar group BS(1,2). Most of these examples satisfy a strong form of the shortcut property. I will discuss some of these examples as well as some general constructions and properties of shortcut graphs and groups.
Keywords : nonpositive curvature; filling invariant; hyperbolic group; CAT(0) cube complex; median graph; systolic complex;
bridged graph; quadric complex; hereditary modular graph; Coxeter group; Baumslag-Solitar group
MSC Codes : Keywords : nonpositive curvature; filling invariant; hyperbolic group; CAT(0) cube complex; median graph; systolic complex;
bridged graph; quadric complex; hereditary modular graph; Coxeter group; Baumslag-Solitar group
05C12 - Distance in graphs
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
Additional resources :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/short.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 22/05/2020 Subseries : Research talks arXiv category : Group Theory Mathematical Area(s) : Algebra ; Combinatorics ; Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:29:20 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-05-22_Hoda.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.19636103Cite this video as: Hoda, Nima (2020). Shortcut graphs and groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19636103 URI : http://dx.doi.org/10.24350/CIRM.V.19636103 |
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] Spin mapping class groups and curve graphs / Author of the conference Hamenstädt, Ursula.
- [Virtualconference] Spaces of cubulations / Author of the conference Fioravanti, Elia.
- [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
- HODA, Nima. Bisimplicial complexes and asphericity. arXiv preprint arXiv:1804.04630, 2018. - https://arxiv.org/abs/1811.05036
