Proves a generic categorical local Langlands correspondence for many quasi-split reductive p-adic groups via a fully faithful functor from generic Bernstein blocks to ind-coherent sheaves on L-parameter moduli stacks, generalizing the GL_n case.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Introduces Higgs bundles on the Fargues-Fontaine curve, establishes a BNR correspondence, and shows an injective étale-stack map from B_dR^+-affine Springer fibers to the Hitchin fiber inducing category equivalence on geometric points.
Generalizes Steinberg's centralizer component description to unipotent elements under non-etale covers, with applications to L-parameter moduli multiplicities, deformation rings, and non-existence of Springer isomorphism for PGL_p in char p.
citing papers explorer
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A generic categorical local Langlands correspondence for quasi-split reductive groups
Proves a generic categorical local Langlands correspondence for many quasi-split reductive p-adic groups via a fully faithful functor from generic Bernstein blocks to ind-coherent sheaves on L-parameter moduli stacks, generalizing the GL_n case.
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Higgs bundles on the Fargues-Fontaine curve
Introduces Higgs bundles on the Fargues-Fontaine curve, establishes a BNR correspondence, and shows an injective étale-stack map from B_dR^+-affine Springer fibers to the Hitchin fiber inducing category equivalence on geometric points.
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Central isogenies and conjugacy classes in reductive groups
Generalizes Steinberg's centralizer component description to unipotent elements under non-etale covers, with applications to L-parameter moduli multiplicities, deformation rings, and non-existence of Springer isomorphism for PGL_p in char p.