**Veronica Fantini**

"*Resurgence of the Airy function: a journey from analysis to geometry*"

Resurgece theory has been developed by J. Écalle as an alternative approach to Borel-Laplace summability of divergent power series and in recent years it has attracted a lot of interest both in physics and mathematics. The Airy functions are nice starting points to understand some of the basic features of resurgence, even if they were very well studied in the classical theory of ODEs. In their integral forms, the Airy functions allow making a bridge with algebraic geometry (as “periods integrals”). In this talk, I will introduce some basics notion of the theory of resurgence and I will use the Airy function as an example. Finally, I will discuss how resurgence of Airy functions can be understood in a purely algebro-geometric setup.

**Monica Nonino**

"*The Reduced Basis Method for Fluid-Structure Interaction problems*"

Fluid-Structure Interaction (FSI) problems are a fascinating topic, as well as a powerful tool to describe many physical phenomena. From the numerical point of view, FSI problems bring along a great deal of difficulties: I will give an overview on different ways to address these problems; we are then going to see how the Reduced Basis Method comes into play in the numerical approximation of solutions of FSI problems. At the end of the talk, I will give an idea on future possible topics of research. This talk is meant as a gentle introduction to the topic of the RBM for FSI problems.

There will be a round-table after the two talks.