9 citations · 18 across the 3 of their papers we have counts for
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math.AG2021★ 1 cited
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…
math.AG2020★ 8 cited
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…
math.AG2019★ 9 cited
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…