Abstract: We explain the construction of the functor of Arkhipov-Bezrukavnikov which gives an equivalence between two categorical incarnations of the anti-spherical module. Along the way we discuss Wakimoto sheaves, which categorify a commutative subalgebra of the affine Hecke algebra, and the role of Iwahori-Whittaker sheaves in proving the functor is an equivalence.

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