Relatively Geometric Actions on Cube Complexes

Explore the concept of relatively geometric actions on cube complexes in this 48-minute lecture by Daniel Groves, presented at the Workshop on Geometry of Subgroups hosted by the Centre de recherches mathématiques (CRM). Delve into the introduction of relatively geometric actions of relatively hyperbolic groups and their application to CAT(0) cube complexes. Examine examples and non-examples of these actions, and understand how they relate to the separability of certain quasi-convex subgroups under specific conditions. Compare the theory of relatively geometric actions to that of geometric actions of hyperbolic groups. Learn about the collaborative research efforts with Teddy Einstein, Corey Bregman, and Kejia Zhu in this advanced mathematical exploration of group actions and geometric structures.