This conference aims at bringing together people working in astrophysics of neutron stars, both on the theoretical and observational aspects. The following topics will be discussed : – Equation of state of dense matter, including hyperon, kaon and quark degrees of freedom – Neutrino emission and cooling of compact stars – Superconductivity-superfluidity – Constraints from EM observations – Transients – Gravitational wave emission – Models for Supernovae and for Gamma Ray Bursts – Magnetars.