Geometric constant term functor(s)

2013/11/08 by Vladimir Drinfeld, V. Drinfeld, Drinfeld, V. +3 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Computer science #Constant (computer programming) #Discrete mathematics #Exact functor #FOS: Mathematics #Functor #Homotopy and Cohomology in Algebraic Topology #Mathematics #Mod #Physics #Pure mathematics #Quantum mechanics #Quotient #Term (time) #math.AG

paper · pdf · doi:10.48550/arxiv.1311.2071

Typo corrected

openalex publication_date 2013/11/08 · arxiv created 2016/10/04 · arxiv updated 2016/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)→ D-mod(Bun_M), taken with respect to the opposite parabolic P^-.

Cited by

• Non-vanishing of quantum geometric Whittaker coefficients
• On an invariant bilinear form on the space of automorphic forms via asymptotics

Related

• Parabolic geometric Eisenstein series and constant term functors
• Proof of the geometric Langlands conjecture III: compatibility with parabolic induction
• Constant term functors with \mathbbF_p-coefficients
• Geometric Eisenstein series
• Global Parabolic Induction and Abstract Automorphicity