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- W3033492748 abstract "We state a conjecture that relates the derived category of smooth representations of a $p$ -adic split reductive group with the derived category of (quasi-)coherent sheaves on a stack of L-parameters. We investigate the conjecture in the case of the principal block of ${rm GL}_n$ by showing that the functor should be given by the derived tensor product with the family of representations interpolating the modified Langlands correspondence over the stack of L-parameters that is suggested by the work of Helm and of Emerton and Helm." @default.
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- W3033492748 date "2023-05-01" @default.
- W3033492748 modified "2023-09-26" @default.
- W3033492748 title "On the derived category of the Iwahori–Hecke algebra" @default.
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- W3033492748 doi "https://doi.org/10.1112/s0010437x23007145" @default.
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