Formality for aglebroids

The celebrated formality theorem of Kontsevich establishes a bijection beween the collection of equivalence classes of (non-commutative)
deformations of the algebra of functions on a manifold on the one hand, and
the collection
of equivalence classes of deformations of the trivial Poisson bracket.
I will describe a generalization of this result to algebroids which are twisted forms of the sheaf
of functions on the manifold (a.k.a. gerbes).