  We discuss predictions for cosmology which result from the scaling solution
of functional flow equations for a quantum field theory of gravity. A scaling
solution is necessary to render quantum gravity renormalizable. Our scaling
solution is directly connected to the quantum effective action for the metric
coupled to a scalar field. It includes all effects of quantum fluctuations and
is invariant under general coordinate transformations. Solving the cosmological
field equations derived by variation of the quantum effective action provides
for a detailed quantitative description of the evolution of the universe. The
\qq{beginning state} of the universe is found close to an ultraviolet fixed
point of the flow equation. It can be described by an inflationary epoch, with
approximate scale invariance of the observed primordial fluctuation spectrum
explained by approximate quantum scale symmetry. Overall cosmology realizes a
dynamical crossover from the ultraviolet fixed point to an infrared fixed point
which is approached in the infinite future. Present cosmology is close to the
infrared fixed point. It features dynamical dark energy mediated by a light
scalar field. The tiny mass of this cosmon arises from its role as a pseudo
Goldstone boson of spontaneously broken quantum scale symmetry. The extremely
small value of the present dark energy density in Planck units results
dynamically as a consequence of the huge age of the universe. The cosmological
constant problem finds a dynamical solution. We present a detailed quantitative
computation of the scaling solution for the scalar effective potential and the
field-dependent coefficient of the curvature scalar. This allows for further
quantitative predictions.
