Tsao-Hsien Chen

Twisted global section functor for D-modules on affine Grassmannian

For each integral dominant weight $λ$, we construct a twisted global section functor $Γ^λ$ from the category of critical twisted $D$-modules on affine Grassmannian to the category of $λ$-regular modules of affine Lie algebra at critical level. We proved that $Γ^λ$ is exact and faithful. This generalized the work of Frenkel and Gaitsgory in the case when $λ=0$.