Hot and dense QCD – from Baryons to the phase diagram of QCD

Baryons provide a tool to test symmetries in the presence of the Quark Gluon Plasma. We present a study of baryonic correlations functions to address the restoration of chiral symmetry. We find evidence that the nucleon and its parity partner become mass-degenerate once the temperature is sufficiently large. Simulations of QCD in a hot and dense environment lead to a severe sign problem, for which standard Monte Carlo methods are not applicable. We present results for QCD in the limit of heavy quarks using the Complex Langevin method.