Stefano Borgani - May 18, 2018 Understanding Galaxy Clusters with Simulations I will overview recent advancements in the study of galaxy clusters through cosmological hydrodynamic simulations. I will discuss how improvements in the numerical description of galaxy formation processes, related to star formation and gas accretion onto super-massive black holes, is leading to the production of a realistic population of clusters from simulations. In particular I will show how the combined information from the thermo- and chemo-dynamical properties of galaxy clusters can be used as fossil records of the past history of feedback and to shed light on the cosmic cycle of baryons at different cosmic epochs.