Abstract: Because the inflaton has to account both for the amplitude and index of the primordial spectrum, its potential has to satisfy quite stringent constraints. In particular, only a stage of de Sitter inflation can produce a scale invariant spectrum, and only a very flat potential can support such an inflationary stage. In this talk, I describe a scenario that renders the properties of the primordial spectrum independent from the inflaton potential, and thus liberates the inflaton from those stringent constraints. The main ingredient of this scenario is the time-varying mass of a spectator scalar present during inflation. I explain how density perturbations are seeded during any inflationary stage and how a time-varying mass can mimic a stage of nearly de Sitter inflation. If time permits, I will also discuss why the scenario I propose fails if the universe does not inflate.