# Manchester Geometry Seminar 2010/2011

**Thursday 2 December 2010. ** *The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm*
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Formality for Algebroids

Paul Bressler (Université Paris 7)

`paul.bressler@gmail.com`

The celebrated formality theorem of Kontsevich establishes a bijection between 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).