Constructing Relatively Geometric Actions on CAT(0) Cube Complexes

Explore the concept of relatively geometric actions on CAT(0) cube complexes in this 49-minute lecture from the Workshop on Cube Complexes and Combinatorial Geometry. Delve into the introduction of relatively geometric actions by Einstein and Groves, aimed at studying relatively hyperbolic groups acting on CAT(0) cube complexes. Learn about the construction of relatively geometric actions using a boundary criterion, and examine their properties. Discover how these tools can be applied to develop structure theorems for groups admitting relatively geometric actions. Gain insights into joint work with Daniel Groves and potential collaborations with Thomas Ng in this advanced mathematical exploration presented at the Centre de recherches mathématiques.