ECM 2024 Invited Speakers

Collection ECM 2024 Invited Speakers

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20 25

Quasi-Cocycles Detect Hyperbolically Embedded Subgroups

By Alessandro Sisto

Also appears in collection : Third Young Geometric Group Theory Meeting / Troisième rencontre des jeunes chercheurs en géométrie des groupes

Hyperbolically embedded subgroups have been defined by Dahmani-Guirardel-Osin and they provide a common perspective on (relatively) hyperbolic groups, mapping class groups, Out(F_n), CAT(0) groups and many others. I will sketch how to extend a quasi-cocycle on a hyperbolically embedded subgroup H to a quasi-cocycle on the ambient group G. Also, I will discuss how some of those extended quasi-cocycles (of dimension 2 and higher) "contain" the information that H is hyperbolically embedded in G. This is joint work with Roberto Frigerio and Maria Beatrice Pozzetti.

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Citation data

  • DOI 10.24350/CIRM.V.19024803
  • Cite this video Sisto, Alessandro (21/01/2014). Quasi-Cocycles Detect Hyperbolically Embedded Subgroups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19024803
  • URL https://dx.doi.org/10.24350/CIRM.V.19024803

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