Geometric Group Theory around Cube Complexes / La Théorie Geometrique des Groupes autour des Complexes Cubiques

Collection Geometric Group Theory around Cube Complexes / La Théorie Geometrique des Groupes autour des Complexes Cubiques

Organizer(s) Bestvina, Mladen ; Dahmani, Francois ; Lazarovich, Nir ; Stark, Emily ; Wise, Daniel

Date(s) 25/05/2026 - 29/05/2026

linked URL https://conferences.cirm-math.fr/3506.html

00:00:00 / 00:00:00

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Embeddings in products of trees

This talk is about the existence of isometric and/or quasiisometric embeddings in finite products of trees and/or quasitrees. We'll start by surveying some known results about hyperbolic groups, right-angled Artin groups, and CAT(0) cube complexes. We'll then mention some new non-existence results from ongoing projects with Shaked Bader and Oussama Bensaid, and with James Davies. The former concerns right-angled Artin groups, and the latter concerns CAT(0) square complexes.

Information about the video

Date of recording 25/05/2026
Date of publication 10/06/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20487603
Cite this video Petyt, Harry (25/05/2026). Embeddings in products of trees. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20487603
URL https://dx.doi.org/10.24350/CIRM.V.20487603

Domain(s)

Bibliography

BUYALO, Serei et LEBEDEVA, Nina. Dimensions of locally and asymptotically self-similar spaces. St. Petersburg Mathematical Journal, 2008, vol. 19, no 1, p. 45-65. - https://doi.org/10.1090/S1061-0022-07-00985-5
BADER, Shaked, BENSAID, Oussama, et PETYT, Harry. Quasiisometric embeddings between right-angled Artin groups: rigidity. arXiv preprint arXiv:2605.12300, 2026. - https://doi.org/10.48550/arXiv.2605.12300
DAVIES, James et PETYT, Harry. CAT(0) square complexes that do not embed into finite products of trees. Preprint, 2026. -

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