  Let G denote a complex, semisimple, simply-connected group. We identify the
equivariant quantum differential equation for the cotangent bundle to the flag
variety of G with the affine Knizhnik-Zamolodchikov connection of Cherednik and
Matsuo. This recovers Kim's description of quantum cohomology of the flag
variety itself as a limiting case. A parallel result is proven for resolutions
of the Slodowy slices. Extension to arbitrary symplectic resolutions is
discussed.
