2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/1466The purpose of these notes is to give a brief review of superfluidity in neutron stars. After a short presentation explaining why and how superfluidity is expected in the crust and core of neutron stars, consequences on thermal evolution and rotational dynamics are discussed. The second part summarizes a formalism that has been recently developped to describe the hydrodynamics of superfluids or superconductors in the framework of general relativity. As an application, one can compute the oscillations of a two-component relativistic neutron star.Invited talk at the conference "Vortices in unconventional superconductors and superfluids" in Dresden (2000); 16 pages, 2 figures, LateXAstrophysicsSuperconductivityGeneral Relativity and Quantum Cosmologytext