41 citations · 148 across the 23 of their papers we have counts for
25 papers
Fourier coefficients and a filtration on Shv(Bun_G)
Sergey Lysenko
We define a filtration by DG-subcategories on the DG-category Shv(Bun_G) of sheaves on the moduli of G-torsors on a curve, which is stable under the action of Hecke functors. We fo…
Towards canonical representations of finite Heisenberg groups
Sergey Lysenko
We consider a finite abelian group of odd exponent with a symplectic form and the Heisenberg extension with the commutator $…
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…
Linear periods of automorphic sheaves for GL_{2n}
Sergey Lysenko
We calculate, in the framework of the geometric Langlands program, the periods of cuspidal automorphic sheaves for GL_{2n} along the Levi subgroup GL_n\times\GL_n. We also solve th…
On the automorphic sheaves for GSp_4
Sergey Lysenko
In this paper we first review the setting for the geometric Langlands functoriality and establish a result for the `backward' functoriality functor. We illustrate this by known exa…
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…