In this school, we want to give a broad overview of all the possible manifestations of compact objects in different astrophysical scenarios. For this purpose, a large list of topics will be addressed during the meeting by renowned international experts: accretion theory, binaries, neutron stars thermal emission, equation of states, microquasar jets, neutron star cooling, radio-pulsars, magnetospheres, compact stars as gravitational wave sources, GRBs, Supernovae and their environments, etc…