Springer correspondence via p-adic analytic methods

Lorenzo Ramero (1)

1 IMB - Institut de Mathématiques de Bordeaux

We show that the standard proof of the Springer correspondence in positive characteristic (via Deligne-Fourier transform) works verbatim in characteristic zero, up to replacing Deligne-Fourier transform by another etale Fourier transform introduced by the author in a previous work. The construction of this Fourier transform uses methods from p-adic analytic geometry.

Domaines: Théorie des représentations [math.RT]; Géométrie algébrique [math.AG]

Lorenzo Ramero. Springer correspondence via p-adic analytic methods. Journal of Algebraic Geometry, 1998, 7, pp.405-504. ⟨hal-00122122⟩