  The properties of the recently discovered Higgs boson together with the
absence of new physics at collider experiments allows us to speculate about
consistently extending the Standard Model of particle physics all the way up to
the Planck scale. In this context, the Standard Model Higgs non-minimally
coupled to gravity could be responsible for the symmetry properties of the
Universe at large scales and for the generation of the primordial spectrum of
curvature perturbations seeding structure formation. We overview the
minimalistic Higgs inflation scenario, its predictions, open issues and
extensions and discuss its interplay with the possible metastability of the
Standard Model vacuum.
