Résume | For a split reductive group, Arkhipov-Bezrukavnikov have proven an equivalence of
categories between Iwahori-Whittaker sheaves on the affine flag variety and coherent
sheaves on the Springer resolution of its Langlands dual group. In this talk, I will discuss
the extension of this equivalence to possibly non-split reductive groups, and work in progress aiming
to extend Bezrukavnikov's equivalence to such groups. |