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25/06/2014, 10:00 — 11:00 — Room P3.10, Mathematics Building

Bertrand Toën, *Université de Montpellier 2*

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Quantization in the context of derived algebraic geometry - III

This last lecture is concerned with the construction of deformation quantization of moduli spaces endowed with shifted symplectic structures. More generally, I will present the notion of shifted Poisson structures as well as a shifted version of Kontsevich's formality theorem. I will explain how this implies the existence of quantizations. The lecture will end with examples, some recovering well known quantum objects (e.g. quantum groups), and some new.