I will present a model of inflation in string theory, where the
inflaton field corresponds to a Wilson line in the worldvolume
of a D-brane, and in the presence of magnetic flux. Inflation
ends in a hybrid fashion, when the Wilson line achieves a
critical value and an open string mode becomes tachyonic. This
scenario predicts a nearly flat, or red tilted, spectrum of
scalar perturbations, with negligible primordial gravitational
waves. Interestingly, there is a simple compactification in
which the eta-problem, appearing in models of brane inflation,
is absent.
