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Deformation theory

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If you have a question about this talk, please contact Mustapha Amrani .

Grothendieck-Teichmller Groups, Deformation and Operads

The ideas of deformation quantisation were first developed in the pioneering work of Bayen, Flato, Fronsdal, Lichnerowicz and Sternheimer published in 1978. Some twenty years later, in 1997, Kontsevich solved the most important problem in deformation quantisation by showing that any Poisson manifold has a deformation quantisation—this was a major advance.

One of the very striking things about Kontsevich’s work is the richness and variety of both the methods involved in the proof and the new lines of investigation it has opened up. The purpose of this introductory lecture is to describe some of the key ideas involved, including Kontsevich’s formality theorem and its role in the deformation quantisation of Poisson manifolds, and also some of the

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