The asymptotic geometry of 2-dimensional Artin groups

Jingyin Huang (Bonn)

Abstract: We show that 2-dimensional Artin groups are non-positively curved in an appropriate sense. As an application, we study quasi-Euclidean tilings over these Artin groups and deduce some quasi-isometric rigidity results for them. No previous knowledge about Artin groups is required. This is joint work with D. Osajda.