The high density frontier in lattice QCD

Abstract Lattice QCD has been a robust tool to solve the theory of strong interactions both in vacuum and at high energy densities. It computed the order and the temperature of the crossover between the hadronic phase and quark gluon plasma. However, its predictive power for non-vanishing baryon density is severely limited by the infamous sign problem. This work is a brief summary of recent progress in lattice simulations towards higher densities in an effort to chart the QCD phase diagram.