From Non-trivial Geometries to Power Spectra and Vice Versa
  We review a recent formalism which derives the functional forms of the
primordial -- tensor and scalar -- power spectra of scalar potential
inflationary models. The formalism incorporates the case of geometries with
non-constant first slow-roll parameter. Analytic expressions for the power
spectra are given that explicitly display the dependence on the geometric
properties of the background. Moreover, we present the full algorithm for using
our formalism, to reconstruct the model from the observed power spectra. Our
techniques are applied to models possessing "features" in their potential with
excellent agreement.
