论文标题
温和的扭曲和$θ$ -DATA
Tame twistings and $Θ$-data
论文作者
论文摘要
本文的目的是为量子参数的空间分配一个内在含义$ \ permatatorName {par} _g $出现在贝林森 - 德林菲尔德的几何兰兰兹计划中。我们介绍了Tame Twistings，这是一种扭曲的差分运算符（TDOS）的变体，其规律性的$ \ Mathscr d $模型定义得很好。我们的主要结果是，对于适当的曲线$ x $，$ \ operatotorname {par} _g $恰恰是仿射grassmannian上分解tame twistings的模量空间。
The goal of this paper is to assign an intrinsic meaning to the space of quantum parameters $\operatorname{Par}_G$ 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 $\mathscr D$-modules is well-defined. Our main result is that for a proper curve $X$, $\operatorname{Par}_G$ is precisely the moduli space of factorization tame twistings on the affine Grassmannian.
