Tame twistings and $\Theta$-data

Abstract

The goal of this paper is to assign an intrinsic meaning to the space of quantum parameters ${\mathrm{Par}}_G$ appearing in the geometric Langlands program of Beilinson-Drinfeld. We introduce tame twistings, a variant of twisted differential operators (TDOs) for which regularity of twisted $\mathcal{D}$-modules is well-defined. Our main result is that for a proper curve $X$, ${\mathrm{Par}}_G$ is precisely the moduli space of factorization tame twistings on the affine Grassmannian.

57 pages

References in corpus (1)

• Higher Topos Theory