Title:  Neutron Stars in the QCD Phase Diagram

Abstract: Neutron stars populate a very important part of the high-energy or QCD phase diagram, where fundamental information is currently provided by theory, laboratory experiments, and astrophysics. How to translate between results obtained from different environments that produce different conditions is one of the most important open questions in nuclear and high-energy physics today. I review the current knowledge of the QCD phase diagram and address how differences in isospin, strangeness, and magnetic field strength can modify the structure and position of deconfinement to quark matter, emphasizing on neutron star observables.