### Resurgence and non-perturbative physics: from string theory to superconductors

It is often said that perturbation theory is insufficient to understand many physical problems, and that non-perturbative effects are needed. It turns out that making this statement precise requires the mathematical framework of resurgence theory, in which perturbative series are extended to so-called trans-series, and non-perturbative effects can be detected by looking at perturbation theory at large orders.

In this talk I will first review the basics of the theory of resurgence, and then present some of its recent applications to problems ranging from string theory to superconductivity.

**Tuesday, 11th of February 2019, 14:30, aula D**