The inflationary Universe is arguably the best mechanism to solve
the shortcomings of the standard big bang theory. In this talk I introduce a
generalization of the standard inflationary paradigm known as warm
inflation. This paradigm considers the continuous production of radiation
due to a dissipative inflationary dynamics. Nevertheless, high scale warm
inflation results in a large reheating temperature, which then poses a
severe gravitino overproduction problem for the supersymmetric realisations
of warm inflation. In this talk I show that in a certain class of
supersymmetric models the inflaton field manages to avoid this problem.
Furthermore, I illustrate how the proposed solution may be realized in
theories of supergravity.