Colour superconductivity in compact stars

After a brief review of the phenomena expected in cold dense quark matter, colour superconductivity and colour-flavour locking, we sketch some implica tions of recent developments in our understanding of cold dense quark matte r for the physics of compact stars. We give a more detailed summary of our recent work on crystalline colour superconductivity and the consequent real ization that (some) pulsar glitches may originate in quark matter.