Browsing by Author "Gaitsgory, Dennis"

Now showing items 21-24 of 24

    • Singular support of coherent sheaves and the geometric Langlands conjecture 

      Arinkin, D.; Gaitsgory, Dennis (Springer Science + Business Media, 2014)
      We define the notion of singular support of a coherent sheaf on a quasi-smooth-derived scheme or Artin stack, where “quasi-smooth” means that it is a locally complete intersection in the derived sense. This develops the ...

    • A “Strange” Functional Equation for Eisenstein Series and Miraculous Duality on the Moduli Stack of Bundles 

      Gaitsgory, Dennis (Societe Mathematique de France, 2017-09)
      We show that the failure of the usual Verdier duality on BunG leads to a new duality functor on the category of D-modules, and we study its relation to the operation of Eisenstein series.

    • Twisted Whittaker Model and Factorizable Sheaves 

      Gaitsgory, Dennis (Birkhaeuser Verlag AG, 2008)
      Let \(G\) be a reductive group. The geometric Satake equivalence realized the category of representations of the Langlands dual group \(\check G\) in terms of spherical perverse sheaves (or D-modules) on the affine ...

    • Weyl Modules and Opers without Monodromy 

      Frenkel, Edward; Gaitsgory, Dennis (Springer-Verlag, 2010)
      We prove that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regular singularity and residue determined by ...