53 citations · 84 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
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…
Twisted Modules over Vertex Algebras on Algebraic Curves
Edward Frenkel, Matthew Szczesny
We extend the geometric approach to vertex algebras developed by the first author to twisted modules, allowing us to treat orbifold models in conformal field theory. Let be a v…
Whittaker Patterns in the Geometry of Moduli Spaces of Bundles on Curves
E. Frenkel, D. Gaitsgory, K. Vilonen
Let G be a split connected reductive group over a finite field F_q, and N its maximal unipotent subgroup. V. Drinfeld has introduced a remarkable partial compactification of the mo…
Spectral Curves, Opers and Integrable Systems
David Ben-Zvi, Edward Frenkel
We establish a general link between integrable systems in algebraic geometry (expressed as Jacobian flows on spectral curves) and soliton equations (expressed as evolution equation…