David Hume *note unusual day and time*

Geometry of acylindrically hyperbolic groups

The class of acylindrically hyperbolic groups is a vast generalisation of hyperbolicity which includes some of the most intensively studied families groups in geometric group theory: for example, mapping class groups and Out($F_n$). One of the major open questions in the area is whether acylindrical hyperbolicity is a quasi-isometry invariant. Using graphical small cancellation groups as a diverse source of examples I will discuss an approach to geometrically recognising acylindrical hyperbolicity, as well as some of its limitations.