Title: Horospherical varieties and stacks
Abstract: To begin, I will introduce horospherical varieties and their known combinatorial theory. Horospherical varieties generalize toric varieties and their correspondence with polyhedral fans: instead of a torus action, we can use any reductive group, and instead of fans, we use a generalization called "coloured" fans. After this, I will highlight some of my research on extending this combinatorial theory to the world of algebraic stacks, namely a correspondence between horospherical stacks and "stacky" coloured fans.