English
Embeddings between RAAGs (part 1)
Multi angle
Auteurs : Genevois, Anthony (Auteur de la Conférence)
CIRM (Editeur )
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
CIRM (Editeur )
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Résumé :
Right-angled Artin groups, aka partially commutative groups, naturally define an interpolation between free groups and abelian free groups. The mini-course is dedicated to the question: given two right-angled Artin groups, how can we know whether one is isomorphic to a subgroup of the other? Even though this is a basic algebraic question, it remains widely open in full generality. Our goal will be to show how the combinatorial geometry of quasi-median graphs hilights some aspects of this problem.
Keywords : right-angled Artin groups; quasi-median graphs
Codes MSC : Keywords : right-angled Artin groups; quasi-median graphs
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
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Informations sur la Vidéo
Réalisateur : Recanzone, LucaLangue : Anglais Date de publication : 29/04/2022 Date de captation : 11/04/2022 Sous collection : Research School arXiv category : Group Theory ; Metric Geometry ; Combinatorics Domaine : Algebra ; Combinatorics ; Geometry Format : MP4 (.mp4) - HD Durée : 01:08:15 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-04-11_Genevois.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Groups Acting on Fractals / Groupes agissant sur des fractalesOrganisateurs de la rencontre : Dahmani, Francois ; Dymarz, Tullia ; Haïssinsky, Peter ; Horbez, Camille Dates : 11/04/2022 - 15/04/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2532.html
Données de citation
DOI : 10.24350/CIRM.V.19906403Citer cette vidéo: Genevois, Anthony (2022). Embeddings between RAAGs (part 1). CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19906403 URI : http://dx.doi.org/10.24350/CIRM.V.19906403 |
Voir aussi
- [Multi angle] The geometry and topology of automorphism groups of free groups (part 1) / Auteur de la Conférence Vogtmann, Karen.
- [Multi angle] Self-similar actions on Cantor sets (part 1) / Auteur de la Conférence Skipper, Rachel.
- [Multi angle] Growth and co-growth in negatively curved groups: a dynamical point of view (part 1) / Auteur de la Conférence Coulon, Rémi.
Bibliographie
- KIM, Sang-hyun et KOBERDA, Thomas. Embedability between right-angled Artin groups. Geometry & Topology, 2013, vol. 17, no 1, p. 493-530. - http://dx.doi.org/10.2140/gt.2013.17.493
- GENEVOIS, Anthony. Cubical-like geometry of quasi-median graphs and applications to geometric group theory. PhD thesis arXiv:1712.01618, 2017. - https://arxiv.org/abs/1712.01618
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