Seminar Event Detail


Complex Analysis, Dynamics and Geometry

Date:  Monday, March 21, 2022
Location:  https://umich.zoom.us/j/97288641488 Virtual (4:00 PM to 5:00 PM)

Title:  Acylindrical hyperbolicity of non-elementary convergence groups

Abstract:   The notion of a convergence group first appeared in the work of Furstenberg, under the name "Dynkin group". The well-known terminology "convergence group" is due to Gehring-Martin. Typical examples of convergence groups include hyperbolic and relatively hyperbolic groups but in general a convergence group is not necessarily relatively hyperbolic. Yet we prove that non-elementary convergence groups satisfy a generalization of relative hyperbolicity called acylindrical hyperbolicity, which allows the theory of acylindrically hyperbolic groups to be applied to the study of convergence groups. Moreover, we define a generalized convergence group which gives a dynamical characterization of acylindrical hyperbolicity.

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Speaker:  Bin Sun
Institution:  Oxford

Event Organizer:   Alex Wright   

 

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