Algebra and Geometry Seminar

Arkhipov, Bezrukavnikov, and Ginzburg constructed an equivalence between spherical D-modules on the affine flag variety and equivariant coherent sheaves on the derived Springer fiber for the Langlands dual group. We will reformulate this theorem in the factorizable setting, which takes place over the moduli space of finite subsets of a curve. This approach allows for both global applications and a new local method of proof.