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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

Justin Campbell , Lin Chen , Joakim Faergeman , Dennis Gaitsgory , Kevin Lin , Sam Raskin , Nick Rozenblyum This is my paper · ORCID
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

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

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    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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