The conference is in English.
Abstract
This seminar first gave a brief history of random matrix theory and its many applications. It then introduced the famous Tracy-Widom distribution, which describes the probability of the largest eigenvalue of a random matrix. The second part was devoted to an application of random matrix theory to cold atoms, using the unexpected link between the position of the rightmost particle in a confined fermion gas, the largest eigenvalue of Gaussian random matrices and the height in the KPZ equation.