  According to the asymptotic-safety conjecture, the gravitational
renormalization group flow features an ultraviolet-attractive fixed point that
makes the theory renormalizable and ultraviolet complete. The existence of this
fixed point entails an antiscreening of the gravitational interaction at short
distances. In this paper we review the state-of-the-art of phenomenology of
Asymptotically Safe Gravity, focusing on the implications of the gravitational
antiscreening in cosmology.
