Deformations of nilpotent cones and Springer correspondences

Abstract

Let G = Sp(2n) be the symplectic group over ℤ. We present a certain kind of deformation of the nilpotent cone of G with G-action. This enables us to make direct links between the Springer correspondence of sp_{2n} over ℂ, that over characteristic two, and our exotic Springer correspondence. As a by-product, we obtain a complete description of our exotic Springer correspondence.