Giovanni Canestrari (Università di Bologna) : Linear response: from physical theories to dynamical systems and possibly back

In this talk we will introduce the mathematical objects in the linear response theory of chaotic dynamical systems. We will digress by discussing how such theories hope to give a (partial) explanation of physical phenomena and, after that, we will give an introduction to a rigorous linear response calculation. Finally, we will discuss obstacles to linear response and recent challenges in the mathematical literature.