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

Campbell, Justin; Chen, Lin; Faergeman, Joakim; Gaitsgory, Dennis; Lin, Kevin; Raskin, Sam; Rozenblyum, Nick

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

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Gaitsgory, Dennis
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2409.07051
(Preprint)

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2409.07051.pdf
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Citation

Campbell, J., Chen, L., Faergeman, J., Gaitsgory, D., Lin, K., Raskin, S., et al. (submitted). Proof of the geometric Langlands conjecture III: compatibility with parabolic induction.

Cite as: https://hdl.handle.net/21.11116/0000-000F-E698-2

Abstract

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.