Groups and Dynamics Seminar

Date: May 6, 2020

Time: 12:00PM - 1:00PM

Location: ZOOM ID: ID: 940

Speaker: Bin Sun, UC Riverside

Title: Acylindrical hyperbolicity of non-elementary convergence groups

Abstract: The notion of a convergence group was introduced by Gering and Martin in order to study Kleinian groups through the dynamical properties of their actions on the ideal sphere of H^3. The works of Bowditch, Freden, Tukia, and Yaman reveal the close relationship between convergence groups and hyperbolic and relatively hyperbolic groups. Along this line of ideas, we show that non- elementary discrete convergence groups are acylindrically hyperbolic. Our result implies that various techniques in the theory of acylindrically hyperbolic groups, such as the Monod-Shalom rigidity theory, group theoretic Dehn filling, and small cancellation theory, can be applied to the study of non-elementary discrete convergence groups. ZOOM ID: ID: 940 9667 3668