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- W4300754961 abstract "Let $mathbf{G}$ be a connected reductive group over an algebraically closed field $mathbb{F}$ of good characteristic, satisfying some mild conditions. In this paper we relate tilting objects in the heart of Bezrukavnikov's exotic t-structure on the derived category of equivariant coherent sheaves on the Springer resolution of $mathbf{G}$, and Iwahori-constructible $mathbb{F}$-parity sheaves on the affine Grassmannian of the Langlands dual group. As applications we deduce in particular the missing piece for the proof of the Mirkovic-Vilonen conjecture in full generality (i.e. for good characteristic), a modular version of an equivalence of categories due to Arkhipov-Bezrukavnikov-Ginzburg, and an extension of this equivalence." @default.
- W4300754961 created "2022-10-04" @default.
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- W4300754961 date "2018-01-01" @default.
- W4300754961 modified "2023-10-12" @default.
- W4300754961 title "Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirkovic-Vilonen conjecture" @default.
- W4300754961 hasPublicationYear "2018" @default.
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