I will discuss several issues that arise when comparing what we know from the gauge-gravity correspondence to what we know in cosmology about inflation. I will try to make and debate the following points:
1) The approximate conformal invariance of both sides indicates that there is a a way to classify/parametrize models of inflation using universality classes a la Wilson. This explains in part the universality observed in the predictions of a certain number of inflation models.
2) The notion of naturalness/fine tuning of inflation and the resolution of cosmological singularities can be turned upside down if one takes seriously the leads coming from AdS/CFT.
3) The cosmological evolution can be mapped to RG flow in QFT. This raises both non-trivial questions and suggests some radical reinterpretation of cosmology