The objectives of the school are the following:
- A systematic and gradual presentation of tools which were recently developed, particularly in France, to solve problems related to the divergence of series and known under the general name of resurgence theory as well as an introduction to the theory of summability, particularly suited to the linear case.
- A wide range of applications to complex differential equations, linear or non-linear, ordinary or partial differential, to difference equations, to dynamical systems and foliations.
The course should provide the participants with new, useful and immediately applicable tools in various fields of interest. It aims at giving new impulse to research and to open directions in domains where such tools have already shown to be efficient.