Stein operators and their applications

Stein’s method is a probabilistic toolkit originally devised to compute explicit bounds for Gaussian approximation. Developed steadily since the 1970’s it has, in recent years, received increasing interest due to its applicability and connections with a wide variety of (not necessarily related) disciplines. After providing a soft introduction to the topic, we shall present some new developments and applications in a variety of directions. This talk is accessible to non specialists.