Around Large Deviations in a Gaussian world

The investigation of Large Deviations estimates in the Gaussian setting begins with the results of Donsker and Varadhan concerning the LD behavior of a Gaussian r.v. with values in a separable Banach space when multiplied by a small parameter.
In this talk, after a review of the old results I shall present some new extensions, motivated by the investigation of Gaussian processes in small time.