Geometric constant term functor(s)

• Vladimir Drinfeld ^[1] ; Dennis Gaitsgory ^[2]
  1. [1] University of Chicago

     University of Chicago

     City of Chicago, Estados Unidos

     
  2. [2] Harvard University

     Harvard University

     City of Cambridge, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 4 (Special Issue: The Mathematics of Joseph Bernstein), 2016, págs. 1881-1951
• Idioma: inglés
• DOI: 10.1007/s00029-016-0269-3
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• Resumen

  • 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 ⊂ 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- od(BunM ), taken with respect to the opposite parabolic P−