Superfluidity in Ultracold Fermi Gases

The search for novel phases of quantum coherent matter has been one of the main driving forces in condensed matter physics for many years. The unprecedented experimental sophistication reached recently in ultracold atomic gases has opened new and exciting perspectives in this search. The ability to externally manipulate the interatomic interaction, the capacity to embed atomic clouds in optical lattices or confine them in low dimensions, as well as the possibility to prepare mixtures of atoms with different statistics and/or populations, is presenting an opportunity to realise and explore novel correlated phases of matter. During the lectures I will focus mainly on aspects of condensation and superfluidity phenomena in fermionic systems. Theoretical elements will be discussed together with recent experimental realisations.