While both hyperbolic geometry and Floer homology have both been tremendously successful tools when studying three-dimensional topology, their relationship is still very mysterious. In this talk, we provide sufficient conditions for a hyperbolic three-manifold to be an L-space (i.e. the Floer homology group has the least possible rank) in terms of its volume and the geodesic spectrum (i.e. the set of lengths of closed geodesics). We discuss several explicit examples in which this criterion can be applied. This is joint work in progress with Michael Lipnowski.