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Carolyn Abbott, Zoom: Acylindrically hyperbolic groups and their quasi-isometrically embedded subgroups
Monday, February 07, 2022, 02:00pm - 03:00pm
Hyperbolic groups are a well-studied class of groups which satisfy many nice algebraic and geometric properties. Their quasiconvex subgroups are those that sit "nicely" inside the group, inheriting many of these properties. The study of such subgroups has been shown to be a powerful tool in geometric group theory. Unfortunately, the notion of a quasiconvex subgroup is not well-defined for groups that are not hyperbolic. In this talk, I will describe a class of subgroups of acylindrically hyperbolic groups (a generalization of hyperbolic groups) which share many properties with quasiconvex subgroups of hyperbolic groups. I will give examples of such subgroups, describe some of the nice algebraic and geometric properties they enjoy, and explain how to analyze the boundary of an associated coned-off graph. This is joint work with Jason Manning. Zoom link: https://utexas.zoom.us/j/99824268289
Location: Zoom

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