798 citations · 3.1k across the 77 of their papers we have counts for
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Five Lectures on Soliton Equations
Edward Frenkel
This is a self-contained review of a new approach to soliton equations of KdV type developed by the author together with B. Feigin and B. Enriquez.
Deformations of W-algebras associated to simple Lie algebras
Edward Frenkel, Nicolai Reshetikhin
Deformed $\W$--algebra $\W_{q,t}(\g)$ associated to an arbitrary simple Lie algebra $\g$ is defined together with its free field realizations and the screening operators. Explicit…
Towards Deformed Chiral Algebras
Edward Frenkel, Nikolai Reshetikhin
We describe a new algebraic structure of "deformed chiral algebra" motivated by the study of the deformed W-algebras. We use it to gain some insights into the deformed Virasoro alg…
Geometric Realization of Whittaker Functions and the Langlands Conjecture
E. Frenkel, D. Gaitsgory, D. Kazhdan +1
We prove the equivalence of two conjectural constructions of unramified cuspidal automorphic functions on the adelic group GL_n(A) associated to an irreducible l-adic local system…