An encyclopaedic overview of the broad range of the applications stemming from the discovery of the replica symmetry breaking solution of the Sherrington-Kirkpatrick model by Giorgio Parisi. **Gabriele Sicuro** participated to the editing of this publication, which includes a contribution by **Yan Fyodorov**.
Giorgio Parisi has been awarded the 2021 Physics Nobel Prize for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales.
The research activities of the group concentrate on the analysis and development of mathematical theories and models with which to describe the statics and dynamics of disordered (or “complex”) systems in physics, biology, financial markets, and computer science.