40 citations · 84 across the 18 of their papers we have counts for
6 papers · 1 filter
Automorphic Gluing
Dario Beraldo, Lin Chen
We prove a gluing theorem on the automorphic side of the geometric Langlands correspondence: roughly speaking, we show that the difference between a…
On the geometric Ramanujan conjecture
Dario Beraldo
In this paper we prove two results pertaining to the (unramified and global) geometric Langlands program. The first result is an analogue of the Ramanujan conjecture: any cuspidal…
Deligne-Lusztig duality on the stack of local systems
Dario Beraldo
In the setting of the geometric Langlands conjecture, we argue that the phenomenon of divergence at infinity on Bun_G (that is, the difference between -extensions and -extens…
The topological chiral homology of the spherical category
Dario Beraldo
We consider the spherical DG category attached to an affine algebraic group . By definition, consists of ind-coherent sheaves of the stack o…
Contractibility of the space of generic opers for classical groups
Dario Beraldo, David Kazhdan, Tomer M. Schlank
Let be a reductive group and a smooth projective curve. We prove that, for classical and an arbitrary -local system on , the space $\overline{\operatorname{Op…
Loop group actions on categories and Whittaker invariants
Dario Beraldo
We develop some aspects of the theory of -modules on ind-schemes of pro-finite type. These notions are used to define -modules on (algebraic) loop groups and, consequently, a…