Geometric Group Therapy Seminar

Speaker: Huaitao Gui

Title: CAT(0) property of graphical C(3)-T(6) small cancellation complexes

Abstract: Graphical small cancellation is a powerful extension of classical small cancellation theory, used to construct groups with exotic properties. It is expected to have close connections with various notions of nonpositive curvature, as in the classical setting. In this talk, we will discuss the CAT(0) property of graphical C(3)-T(6) small cancellation complexes. By a result of Osajda and Przytycki, this immediately implies the Tits alternative for groups acting freely on such complexes.