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Quark Matter 2018 -the XXVIIth International Conference on Ultra-relativistic Nucleus-Nucleus Collisions- brings together physicists from around the world to discuss new developments in high energy heavy-ion physics. The focus is on the fundamental understanding of strongly-interacting matter at extreme conditions of high temperature and density, as formed in ultra-relativistic nucleus-nucleus collisions. In these conditions, which also characterised the early Universe, matter appears as a Quark-Gluon Plasma, with quarks and gluons not confined within hadrons.