  We use Galois group actions on \'etale cohomology to prove results of
formality for dg-operads and dg-algebras with torsion coefficients. Our theory
applies, among other related constructions, to the dg-operad of singular chains
on the operad of little disks and to the dg-algebra of singular cochains on the
configuration space of points in the complex space. The formality that we
obtain is only up to a certain degree, which depends on the cardinality of the
field of coefficients.
