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Documents  Sisto, Alessandro | enregistrements trouvés : 2

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- xxi; 177 p.
ISBN 978-2-85629-809-1

Astérisque , 0372

Localisation : Périodique 1er étage

quasi-isométrie # quasi-action # graphique de groupes # espace CAT(0) # conjecture de Borel # rigidité lisse # conjecture de Baum-Connes # cône asymptotique # groupe de classe # propriété (T) de Kazhdan # alternative de Tits # propriété de co-Hopf # C*-simplicité # SQ-universalité

53C24 ; 20F65 ; 53C23 ; 20E08 ; 20F67 ; 20F69 ; 19D35

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Research talks;Algebra

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. 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 ...

20F65

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