For all quasi-split classical p-adic groups and G2, every generic Bernstein block admits a fully faithful categorical functor into ind-coherent sheaves on L-parameter stacks, compatible with parabolic induction and Whittaker data.
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A generic categorical local Langlands correspondence for quasi-split reductive groups
For all quasi-split classical p-adic groups and G2, every generic Bernstein block admits a fully faithful categorical functor into ind-coherent sheaves on L-parameter stacks, compatible with parabolic induction and Whittaker data.