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- W4311472317 abstract "With representation-theoretic applications in mind, we construct a formalism of reduced motives with integral coefficients. These are motivic sheaves from which the higher motivic cohomology of the base scheme has been removed. We show that reduced stratified Tate motives satisfy favorable properties including weight and t-structures. We also prove that reduced motives on cellular (ind-)schemes unify various approaches to mixed sheaves in representation theory, such as Soergel–Wendt's semisimplified Hodge motives, Achar–Riche's complexes of parity sheaves, as well as Ho–Li's recent category of graded ℓ-adic sheaves." @default.
- W4311472317 created "2022-12-26" @default.
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- W4311472317 date "2023-01-01" @default.
- W4311472317 modified "2023-10-17" @default.
- W4311472317 title "Integral motivic sheaves and geometric representation theory" @default.
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- W4311472317 doi "https://doi.org/10.1016/j.aim.2022.108811" @default.
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