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- W4321649028 abstract "The Deligne-Langlands correspondence parametrizes irreducible representations of the affine Hecke algebra $mathcal{H}^{text{aff}}$ by certain perverse sheaves. We show that this can be lifted to an equivalence of triangulated categories. More precisely, we construct for each central character $chi$ of $mathcal{H}^{text{aff}}$ an equivalence of triangulated categories between a perfect derived category of dg-modules $D_{text{perf}}(mathcal{H}^{text{aff}}/(text{ker}(chi)) - text{dgMod})$ and the triangulated category generated by the corresponding perverse sheaves. The main step in this construction is a formality result that we prove for a wide range of `Springer sheaves'." @default.
- W4321649028 created "2023-02-24" @default.
- W4321649028 creator A5009546657 @default.
- W4321649028 date "2023-02-21" @default.
- W4321649028 modified "2023-09-29" @default.
- W4321649028 title "Formality in the Deligne-Langlands correspondence" @default.
- W4321649028 doi "https://doi.org/10.48550/arxiv.2302.11010" @default.
- W4321649028 hasPublicationYear "2023" @default.
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