"Glassy systems are central in several fields from statistical mechanics and soft matter to material sciences and biophysics and they appear even in completely different areas of science such as information theory, computer science, agent-based models and game theory.The aim of this project is to develop a new, possibly groundbreaking, approach to glassy systems based on the non-perturbative renormalization group (NPRG) formalism. Modern theoretical approaches to glassy systems suffer from severe limitations; it is not clear whether and how one can improve them, and their current status is far from providing a coherent and satisfactory theory. For reasons detailed below, I believe that the NPRG approach is the long-sought theoretical framework to tackle the glass problem and that it will eventually lead to its solution. I will focus on the problem of the glass transition and the physics of glass-forming liquids. I expect that the progress we will make in this direction will also be instrumental also for other glassy systems such as spin glasses, quantum glasses and jamming systems."