Geometric constant term functor(s)
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(BunG)-> D-mod(BunM) is canonically isomorphic to the *-constant term functor CT-*:D-mod(BunG) D-mod(BunM), taken with respect to the opposite parabolic P-.
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