The first detection of gravitational waves from a merging neutron star
binary system and the accompanying observations of electromagnetic
counterparts in 2017 demonstrated the enormous potential of
multi-messenger astronomy for understanding the properties of
ultra-dense (and hot) matter. Neutron stars --relict of the
gravitational collapse and subsequent supernova explosion of a massive
star at the end of his life-- comprise the highest densities of matter
that can stably exist in the Universe. During this talk, I will