41 citations · 148 across the 23 of their papers we have counts for
7 papers · 1 filter
Metaplectic Whittaker category and quantum groups : the "small" FLE
D. Gaitsgory, S. Lysenko
We prove that the category of Hecke eigensheaves in the metaplectic Whittaker category of the affine Grassmannian is equivalent to the category of modules over the small quantum gr…
Parameters and duality for the metaplectic geometric Langlands theory
D. Gaitsgory, S. Lysenko
We introduce the space of parameters for the metaplectic Langlands theory as *factorization gerbes* on the affine Grassmannian, and develop metaplectic Langlands duality in the inc…
Geometric Bessel models for GSp_4 and multiplicity one
Sergey Lysenko
I this paper, which is a sequel to math.AG/0310361, we study Bessel models of representations of GSp_4 over a local non archimedian field in the framework of the geometric Langland…
Moduli of metaplectic bundles on curves and Theta-sheaves
Sergey Lysenko
We give a geometric interpretation of the Weil representation of the metaplectic group, placing it in the framework of the geometric Langlands program. For a smooth projective curv…
Whittaker and Bessel functors for GSp_4
Sergey Lysenko
One of the important technical tools in Gaitsgory's proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence ([3]) is the theory of Whittaker functors…
Global geometrised Rankin-Selberg method for GL(n)
Sergey Lysenko
We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. We show that the geometric Langlands con…