Proves the generalized injectivity conjecture for quasi-split reductive p-adic groups by reducing to geometric graded Hecke algebras where generic modules have open L-parameters.
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3 Pith papers cite this work. Polarity classification is still indexing.
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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.
Formulates a new upper-bound conjecture for wavefront sets of p-adic group representations, reduces it to anti-discrete series, and proves equivalence to the Jiang conjecture on Arthur packets plus an ABV-packet analog.
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On submodules of standard modules
Proves the generalized injectivity conjecture for quasi-split reductive p-adic groups by reducing to geometric graded Hecke algebras where generic modules have open L-parameters.
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On the upper bound of wavefront sets of representations of p-adic groups
Formulates a new upper-bound conjecture for wavefront sets of p-adic group representations, reduces it to anti-discrete series, and proves equivalence to the Jiang conjecture on Arthur packets plus an ABV-packet analog.