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arXiv · 2409.07051

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

Justin Campbell·Lin Chen·Joakim Faergeman·Dennis Gaitsgory·Kevin Lin·Sam Raskin·Nick Rozenblyum
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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.

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Justin Campbell, Lin Chen, Joakim Faergeman, Dennis Gaitsgory, Kevin Lin, Sam Raskin, Nick Rozenblyum. 2024-09-11. Proof of the geometric Langlands conjecture III: compatibility with parabolic induction. https://arxiv.org/abs/2409.07051

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