Sala Riunioni (Dip. Matematica).
The talk is aimed to present some recent results about strong version of non-local isoperimetric isoperimetric problems, that is, problems involving the minimisation of the fractional perimeter. Namely, we will see how to prove a strong version of the fractional isoperimetric inequality. The existence issue of a different, and somehow original, fractional isoperimetric problem will be considered as well.