12 citations · 61 across the 12 of their papers we have counts for
14 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…
Irreducible connections admit generic oper structures
Dima Arinkin
Let G be a connected reductive group and X be a smooth curve over an algebraically closed field of characteristic zero. We show that every meromorphic G-connection on X admits a po…
Formality of derived intersections and the orbifold HKR isomorphism
Dima Arinkin, Andrei Caldararu, Marton Hablicsek
We study when the derived intersection of two smooth subvarieties of a smooth variety is formal. As a consequence we obtain a derived base change theorem for non-transversal inters…
The category of singularities as a crystal and global Springer fibers
D. Arinkin, D. Gaitsgory
We prove the "Gluing Conjecture" on the spectral side of the categorical geometric Langlands correspondence. The key tool is the structure of crystal on the category of singulariti…