31 citations · 286 across the 52 of their papers we have counts for
58 papers
Local terms for the categorical trace
Dennis Gaitsgory, Yakov Varshavsky
In this paper we introduce the categorical "true local terms" maps for Artin stacks and show that they are additive and commute with proper pushforwards, smooth pullbacks and speci…
On factorization algebras arising in the quantum geometric Langlands theory
Dennis Gaitsgory
We study factorization algebras on configuration spaces of points on the curved, colored by elements of the root lattice. We show that the factorization algebra attached to Lusztig…
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…
The local and global versions of the Whittaker category
Dennis Gaitsgory
Given a category C acted on by the loop group G((t)), we define its Whittaker model Whit(C) as C^{N((t)),χ}, where χis a non-degenerate character. We study the properties of this c…
A conjectural extension of the Kazhdan-Lusztig equivalence
Dennis Gaitsgory
A theorem of Kazhdan and Lusztig establishes an equivalence between the category of G(CO)-integrable representations of the Kac-Moody algebra \hat{g}_{-κ} at a negative level -κand…
An Iwahori-Whittaker model for the Satake category
Roman Bezrukavnikov, Dennis Gaitsgory, Ivan Mirković +2
In this paper we prove, for G a connected reductive algebraic group satisfying a technical assumption, that the Satake category of G (with coefficients in a finite field, a finite…