English

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

Algebraic Geometry 2024-09-12 v1

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.

Keywords

Cite

@article{arxiv.2409.07051,
  title  = {Proof of the geometric Langlands conjecture III: compatibility with parabolic induction},
  author = {Justin Campbell and Lin Chen and Joakim Faergeman and Dennis Gaitsgory and Kevin Lin and Sam Raskin and Nick Rozenblyum},
  journal= {arXiv preprint arXiv:2409.07051},
  year   = {2024}
}