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Bounded cohomology of acylindrically hyperbolic groups via hyperbolically embedded subgroups

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NPCW01 - Non-positive curvature in action

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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