  We show that the cosmological evolution of a scalar field in a potential can
be obtained from a renormalisation group equation. The slow roll regime of
inflation models is understood in this context as the slow evolution close to a
fixed point, described by the methods of renormalisation group. This explains
in part the universality observed in the predictions of a certain number of
inflation models. We illustrate this behavior on a certain number of examples
and discuss it in the context of the AdS/CFT correspondence.
