Superconductivity, the dissipation-less flow of charge, is one of the most fascinating macroscopic manifestations of an exotic quantum state of matter. Over the last decades more and more materials presenting unconventional superconductivity have been discovered that elude our current understanding framed within the stand theory of superconductivity. This project aims to introduce the student into the problematics of unconventional superconductivity by employing a state of the art methods based on Dynamical Mean Field Theory.