In recent years our understanding of defects in QFTs has advanced on multiple fronts. This talk focuses on the study of defect renormalization group flows and fixed points. Specifically, we consider setups where the bulk QFT is conformal, but the defect (or boundary) is not. We provide an overview of general results and discuss several examples, where computations in a variety of perturbative expansions can be combined with general considerations to determine the phase diagrams of defects.