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Séminaire de Physique Théorique

# A q-deformation of the geometric Langlands correspondence

## by Prof. Pavel SAFRONOV (Université de Genève & IHES)

lundi 20 février 2017 de au (Europe/Paris)
at IHES ( Amphithéâtre Léon Motchane )
35, route de Chartres, F-91440 Bures-sur-Yvette (France)
 Description The geometric Langlands correspondence was introduced by Beilinson and Drinfeld as a tool to solve quantum Hitchin systems such as the Gaudin model. The correspondence can be understood following Kapustin and Witten as arising from S-duality in a topologically twisted 4-dimensional super Yang-Mills theory. In this talk I will describe a multiplicative deformation of the Hitchin system and explain a conjectural statement of the corresponding q-deformed correspondence. I will also give some motivations for the statement from the theory of higher deformation quantization and a deformed setup of Kapustin and Witten. Organisé par Vasily Pestun Contact Email: cecile@ihes.fr