798 citations · 3.1k across the 77 of their papers we have counts for
78 papers
Weyl group symmetry of q-characters
Edward Frenkel, David Hernandez
We define an action of the Weyl group W of a simple Lie algebra g on a completion of the ring Y, which is the codomain of the q-character homomorphism of the corresponding quantum…
Analytic Langlands correspondence for PGL(2) on P^1 with parabolic structures over local fields
Pavel Etingof, Edward Frenkel, David Kazhdan
We continue to develop the analytic Langlands program for curves over local fields initiated in arXiv:1908.09677, arXiv:2103.01509 following a suggestion of Langlands and a work of…
Hecke operators and analytic Langlands correspondence for curves over local fields
Pavel Etingof, Edward Frenkel, David Kazhdan
We construct analogues of the Hecke operators for the moduli space of G-bundles on a curve X over a local field F with parabolic structures at finitely many points. We conjecture t…
An analytic version of the Langlands correspondence for complex curves
Pavel Etingof, Edward Frenkel, David Kazhdan
The Langlands correspondence for complex curves is traditionally formulated in terms of sheaves rather than functions. Recently, Langlands asked whether it is possible to construct…
Is there an analytic theory of automorphic functions for complex algebraic curves?
Edward Frenkel
The geometric Langlands correspondence for complex algebraic curves differs from the original Langlands correspondence for number fields in that it is formulated in terms of sheave…
Quantum Langlands duality of representations of W-algebras
Tomoyuki Arakawa, Edward Frenkel
We prove duality isomorphisms of certain representations of W-algebras which play an essential role in the quantum geometric Langlands Program and some related results.