English

Geometric constant term functor(s)

Algebraic Geometry 2016-10-06 v4

Abstract

We study the Eisenstein series and constant term functors in the framework of geometric theory of automorphic functions. Our main result says that for a parabolic P in G with Levi quotient M, the !-constant term functor CT_!:D-mod(Bun_G)-> D-mod(Bun_M) is canonically isomorphic to the *-constant term functor CT^-_*:D-mod(Bun_G)\to D-mod(Bun_M), taken with respect to the opposite parabolic P^-.

Keywords

Cite

@article{arxiv.1311.2071,
  title  = {Geometric constant term functor(s)},
  author = {V. Drinfeld and D. Gaitsgory},
  journal= {arXiv preprint arXiv:1311.2071},
  year   = {2016}
}

Comments

Typo corrected

R2 v1 2026-06-22T02:04:01.261Z