798 citations · 3.1k across the 77 of their papers we have counts for
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Opers on the projective line, flag manifolds and Bethe Ansatz
Edward Frenkel
We consider the problem of diagonalization of the hamiltonians of the Gaudin model, which is a quantum chain model associated to a simple Lie algebra. The hamiltonians of this mode…
Chiral de Rham Complex and Orbifolds
Edward Frenkel, Matthew Szczesny
Suppose that a finite group acts on a smooth complex variety . Then this action lifts to the Chiral de Rham Complex of and to its cohomology by automorphisms of the vert…
Affine Kac-Moody algebras, integrable systems and their deformations
Edward Frenkel
This is the text of the Hermann Weyl Prize lecture given by the author at the XXIV Colloquium on Group Theoretical Methods in Physics, Paris, July 2002 (to appear in the Proceeding…
Recent Advances in the Langlands Program
Edward Frenkel
These are the notes for the lecture given by the author at the "Current Events" Special Session of the AMS meeting in Baltimore on January 17, 2003. Topics reviewed include the Lan…
Geometric Realization of the Segal--Sugawara Construction
David Ben-Zvi, Edward Frenkel
We apply the technique of localization for vertex algebras to the Segal-Sugawara construction of an ``internal'' action of the Virasoro algebra on affine Kac-Moody algebras. The re…
Fixed point data of finite groups acting on 3-manifolds
Peter E. Frenkel
We consider fully effective orientation-preserving smooth actions of a given finite group G on smooth, closed, oriented 3-manifolds M. We investigate the relations that necessarily…