Abstract
We review recent results on the potential energy landscape of model liquids. The role of saddle points in the potential energy surface (PES) in connecting dynamics to statics is investigated, confirming that a change between minima-dominated and saddle-point-dominated regions of the PES explored in equilibrium happens around the mode coupling temperature. The structure of the low-energy saddle points in the basins is found to be simple and hierarchically organized; the presence of saddle points near to the local minimum energies indicates that, at non-cryogenic temperatures, entropic bottlenecks limit the dynamics.