Onsager PrizeDynamics of Glassy Systems: lessons from a family of analytically solvable models

The out-of-equilibrium dynamics of glassy systems is a fascinating field of research, with clear applications in materials science and less obvious ones in areas such as ecology or computer science. In a series of studies, we discovered that, unexpectedly, mean-field disordered models can effectively capture the non-equilibrium aging relaxation experimentally observed in glassy systems. The analytical solutions of these models have allowed us to uncover significant concepts, such as effective temperatures and the impact of time-reparametrization invariance on fluctuations. In this talk, I will describe some of these results, hopefully in terms that are not overly technical and of interest to general audience.