53 citations · 253 across the 26 of their papers we have counts for
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math.RT2018
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…
math.QA2018
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.
hep-th2018
Quantum Langlands dualities of boundary conditions, D-modules, and conformal blocks
Edward Frenkel, Davide Gaiotto
We review and extend the vertex algebra framework linking gauge theory constructions and a quantum deformation of the Geometric Langlands Program. The relevant vertex algebras are…