Title

Modular perverse sheaves on flag varieties I: Tilting and parity sheaves

Document Type

Article

Publication Date

1-1-2016

Abstract

In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group G is a "graded version" of the category of tilting perverse sheaves on the flag variety of the dual group Ǧ, for any field of coefficients whose characteristic is good for G. We derive some consequences on Soergel's modular category O, and on multiplicities and decomposition numbers in the category of perverse sheaves.

Publication Source (Journal or Book title)

Annales Scientifiques de l'Ecole Normale Superieure

First Page

325

Last Page

370

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