9 citations · 20 across the 5 of their papers we have counts for
5 papers
Automorphic functions as the trace of Frobenius
D. Arinkin, D. Gaitsgory, D. Kazhdan +3
We prove that the trace of the Frobenius endofunctor of the category of automorphic sheaves with nilpotent singular support maps isomorphically to the space of unramified automorph…
Duality for automorphic sheaves with nilpotent singular support
D. Arinkin, D. Gaitsgory, D. Kazhdan +3
We identify the category Shv_{Nilp}(Bun_G) of automorphic sheaves with nilpotent singular support with its own dual, and relate this structure to the Serre functor on Shv_{Nilp}(Bu…
The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support
D. Arinkin, D. Gaitsgory, D. Kazhdan +3
We define a new geometric object--the stack of local systems with restricted variation. We formulate a version of the categorical geometric Langlands conjecture that makes sense fo…
A toy model for the Drinfeld-Lafforgue shtuka construction
D. Gaitsgory, D. Kazhdan, N. Rozenblyum +1
The goal of this paper is to provide a categorical framework that leads to the definition of shtukas à la Drinfeld and of excursion operators à la V. Lafforgue. We take as the poin…
Geometric Realization of Whittaker Functions and the Langlands Conjecture
E. Frenkel, D. Gaitsgory, D. Kazhdan +1
We prove the equivalence of two conjectural constructions of unramified cuspidal automorphic functions on the adelic group GL_n(A) associated to an irreducible l-adic local system…