Modular generalized Springer correspondence I: The general linear group

We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification of the category of equivariant perverse sheaves on the nilpotent cone of GL(n) satisfying the \u27recollement\u27 properties, and with subquotients equivalent to categories of representations of a product of symmetric groups