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