Embeddings between RAAGs (part 1) | Vidéo | Carmin.tv

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Embeddings between RAAGs (part 1)

By Anthony Genevois

Appears in collection : Groups Acting on Fractals / Groupes agissant sur des fractales

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.

Information about the video

Date of recording 11/04/2022
Date of publication 29/04/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19906403
Cite this video Genevois, Anthony (11/04/2022). Embeddings between RAAGs (part 1). CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19906403
URL https://dx.doi.org/10.24350/CIRM.V.19906403

Domain(s)

Bibliography

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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