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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. The scientific topics addressed by this conference are: QCD at high temperature Initial state physics Approach to thermal equilibrium Correlations and fluctuations Collective dynamics Chirality, vorticity and polarisation effects Jet modifications Heavy flavour and quarkonium Electromagnetic probes High baryon density and search for the critical point Collectivity in small systems Theoretical developments Future facilities and instrumentation