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
TL;DR
This paper proves that the Langlands functor is compatible with parabolic induction and Eisenstein series operations, establishing an equivalence on certain subcategories related to the geometric Langlands conjecture.
Contribution
It demonstrates the compatibility of the Langlands functor with Eisenstein series and parabolic induction, advancing the understanding of the geometric Langlands conjecture.
Findings
Langlands functor compatible with Eisenstein series operations
Induces an equivalence on Eisenstein-generated subcategories
Advances proof of the geometric Langlands conjecture
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Differential Geometry Research · Cosmology and Gravitation Theories