  Black holes appear as vacuum solutions of classical general relativity which
depend on Newton's constant and possibly the cosmological constant. At the
level of a quantum field theory, these coupling constants typically acquire a
scale-dependence. This proceedings briefly summarizes two complementary ways to
incorporate this effect: the renormalization group improvement of the classical
black hole solution based on the running couplings obtained within the
gravitational Asymptotic Safety program and the exact solution of the improved
equations of motion including an arbitrary scale dependence of the
gravitational couplings. Remarkably the picture of the "quantum" black holes
obtained from these very different improvement strategies is surprisingly
similar.
