Paul Bressler
IME-USP
Formality for algebroids.
Abstract: 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).