4 citations · 5 across the 7 of their papers we have counts for
7 papers
Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
Dennis Gaitsgory, Vincent Lafforgue, Sam Raskin
We introduce and study the filtration on the space of automorphic functions (in the everywhere unramified situation for the function field case) obtained by transferring the filtra…
Applications of (higher) categorical trace II: Deligne-Lusztig theory
D. Gaitsgory, N. Rozenblyum, Y. Varshavsky
We use the formalism of the (2-category) AGCat, developed in [GRV], and the operation of higher categorical trace to (re)derive a number of results in the Deligne-Lusztig theory.
On the excursion algebra
Dennis Gaitsgory, Kevin Lin, Wyatt Reeves
The excursion algebra associated to a scheme X over a finite field and a reductive group G is the algebra of global functions on the stack of arithmetic G-local systems on X. When…
Representations of loop groups as factorization module categories
Lin Chen, Yuchen Fu, Dennis Gaitsgory +1
We show that the (2-)category of categorical representations of the loop group embeds fully faithfully into the (2-)category of factorization module categories with respect to the…
Modules over the small quantum group and semi-infinite flag manifold
S. Arkhipov, R. Bezrukavnikov, A. Braverman +2
We develop a theory of perverse sheaves on the semi-infinite flag manifold , and show that the subcategory of Iwahori-monodromy perverse sheaves is equiv…
Uhlenbeck spaces via affine Lie algebras
A. Braverman, M. Finkelberg, D. Gaitsgory
Let be an almost simple simply connected group over $\BC$, and let $\Bun^a_G(\BP^2,\BP^1)$ be the moduli scheme of principal -bundles on the projective plave $\BP^2$, of sec…