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Proof of the geometric Langlands conjecture III: compatibility with parabolic induction

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arxiv 2409.07051 v1 pith:S4GLDLCE submitted 2024-09-11 math.AG

classification math.AG
keywords langlandscompatibilityfunctorconjectureconstantdeduceeisensteineisenstein-generated
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We establish the compatibility of the Langlands functor with the operations of Eisenstein series constant term, and deduce that the Langlands functor induces an equivalence on Eisenstein-generated subcategories.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A proof of Dolbeault geometric Langlands for $\mathrm{GL}_2$ with reduced spectral curves

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    For any adjoint reductive group at rational Kac-Moody level, cuspidal twisted D-modules with nilpotent singular support have at least one nonzero quantum Whittaker coefficient, proved microlocally.

  4. An axiomatic approach to analytic $1$-affineness

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    An axiomatic framework proves 1-affineness for analytic Betti stacks, analytic de Rham stacks, and rigid analytic varieties, giving categorical Künneth formulas.

  5. Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards Entanglement-Sensitive Langlands Data

    quant-ph 2026-01 conditional novelty 5.0 of 10

    Witness-filtered Berry curvature, quantum geometric tensor, and quantum Fisher information obey exact lattice identities in the spinless Haldane model, with gap-crossing jumps glossed as Hecke modifications under a La...

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