2022 - T2 - WS3 - Hyperbolic groups and their generalisations

Collection 2022 - T2 - WS3 - Hyperbolic groups and their generalisations

Organisateur(s) Dahmani, François ; Drutu, Cornelia ; Hagen, Mark ; Huang, Jingyin
Date(s) 20/06/2022 - 24/06/2022
URL associée https://indico.math.cnrs.fr/event/6577/
15 21

Commensurability of lattices in right-angled buildings

De Sam Shepherd

Given compact length spaces $X_1$ and $X_2$ with a common universal cover, it is natural to ask whether $X_1$ and $X_2$ have a common finite cover. In particular, are there properties of $X_1$ and $X_2$, or of their fundamental groups, that guarantee the existence of a common finite cover? We will discuss several examples, as well as my new result which concerns the case where the common universal cover is a right-angled building. Examples of right-angled buildings include products of trees and Davis complexes of right-angled Coxeter groups. My new result will be stated in terms of weak commensurability of lattices in the automorphism group of the building.

Informations sur la vidéo

Données de citation

  • DOI 10.57987/IHP.2022.T2.WS3.014
  • Citer cette vidéo Shepherd, Sam (23/06/2022). Commensurability of lattices in right-angled buildings. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T2.WS3.014
  • URL https://dx.doi.org/10.57987/IHP.2022.T2.WS3.014

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