  The purpose of this note is to discuss several results that have been
obtained in the last decade in the context of sharp adjoint Fourier
restriction/Strichartz inequalities. Rather than aiming at full generality, we
focus on several concrete examples of underlying manifolds with large groups of
symmetries, which sometimes allows for simple geometric proofs. We mention
several open problems along the way, and include an appendix on integration on
manifolds using delta calculus.
