Abstract:Building on a geometric counterpart of Steinberg's tensor product formula for simple representations of a connected reductive algebraic group q G over a field of positive characteristic proved in [AR3], and following an idea of Arkhipov-Bezrukavnikov-Braverman-Gaitsgory-Mirković, we define and initiate the study of some categories of perverse sheaves on the affine Grassmannian of the Langlands dual group to q G that should provide geometric models for blocks of representations of the Frobenius kernel q G 1 of … Show more
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