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Bounded cohomology of acylindrically hyperbolic groups via hyperbolically embedded subgroups

Presented by: 
Alessandro Sisto ETH Zürich
Date: 
Wednesday 11th January 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
I will discuss a few results about the bounded cohomology of an acylindrically hyperbolic group, focusing on quasimorphisms for concreteness. More specifically, the results relate the bounded cohomology of an acylindrically hyperbolic group to that of its hyperbolically embedded subgroups, which are special subgroups that generalise peripheral subgroups of relatively hyperbolic groups.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons