"The seminar is meant to present a bird's eye view on the field of long-range interacting quantum systems. The talk will start with a brief overview of critical phenomena in systems with power law interactions 1/r^{\alpha} at $\alpha<d$ showing how the equilibrium scaling depends of the power-law scaling $\alpha$. Then, I willdescribe the peculiar out-of-equilibrium scaling dynamics observed in "strong" long-range systems with \alpha<d, both for sudden and slow quenches. Finally, I will deal with the seemingly unconnected case of
2-components fermi gases confined in 2D traps. The connection between this topic and the previous studies of long-range interactions will
be outlined."