abstract:
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.