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.

v6. 30pp, fixed 7.8 2) and 10.3 (v5), corrected typos, changed affiliation, and added thanks to Midori, to appear in Amer. J. Math..

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