A pinning-normalized local Langlands correspondence is constructed for depth-zero supercuspidal representations by matching toral, finite cuspidal, and unipotent pieces.
Compositio Mathematica , volume =
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
UNVERDICTED 4representative 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.
Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.
Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.
citing papers explorer
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A Pinned Local Langlands Correspondence for Depth-Zero Supercuspidal Representations
A pinning-normalized local Langlands correspondence is constructed for depth-zero supercuspidal representations by matching toral, finite cuspidal, and unipotent pieces.
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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.
-
Geometrization of summation formulae for quadrics
Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.
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Weyl algebras on Braverman-Kazhdan spaces
Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.