8 citations · 12 across the 4 of their papers we have counts for
7 papers
Affine Harish-Chandra bimodules and Steinberg--Whittaker localization
Justin Campbell, Gurbir Dhillon
We construct categories of Harish-Chandra bimodules for affine Lie algebras analogous to Harish-Chandra bimodules with infinitesimal characters for simple Lie algebras, addressing…
Fundamental local equivalences in quantum geometric Langlands
Justin Campbell, Gurbir Dhillon, Sam Raskin
In quantum geometric Langlands, the Satake equivalence plays a less prominent role than in the classical theory. Gaitsgory--Lurie proposed a conjectural substitute, later termed th…
Geometric class field theory and Cartier duality
Justin Campbell, Andreas Hayash
We formulate and prove a generalized Albanese property for families of maps from a smooth curve over an arbitrary field into a commutative group stack. Our proof, which is mostly s…
Nearby cycles of Whittaker sheaves on Drinfeld's compactification
Justin Campbell
In this article we study the perverse sheaf on Drinfeld's compactification obtained by applying the geometric Jacquet functor (alias nearby cycles) to a nondegenerate Whittaker she…
A resolution of singularities for Drinfeld's compactification by stable maps
Justin Campbell
Drinfeld's relative compactification plays a basic role in the theory of automorphic sheaves, and its singularities encode representation-theoretic information in the form of inter…
The big projective module as a nearby cycles sheaf
Justin Campbell
We give a new geometric construction of the big projective module in the principal block of the BGG category , or rather the corresponding -module on the…
The Bernstein Center of a p-adic Unipotent Group
Justin Campbell
Francois Rodier proved that it is possible to view smooth representations of certain totally disconnected abelian groups (the underlying additive group of a finite-dimensional p-ad…