Sami Douba

A Möbius transformation of the sphere S^n is a composition of inversions in round hyperspheres. A Möbius structure on an n-manifold M is a local modeling of M on S^n whose transition maps are restrictions of Möbius transformations. In this talk, we survey some results, most of them known, about compact orbifolds admitting Möbius structures with Zariski-dense geometrically finite holonomy.