  This paper establishes restrictions on the possible Galois actions on the
pro-l-unipotent fundamental group of a smooth variety X of good reduction over
a local field K. In particular, if X is proper and l is not equal to the
residue characteristic p of K, then this action is uniquely determined by the
action on cohomology. A similar result for l=p is then proved via a comparison
theorem between the crystalline and pro-p homotopy types.
