论文标题
Affine Beilinson-Bernstein在关键水平上定位$ GL_2 $
Affine Beilinson-Bernstein localization at the critical level for $GL_2$
论文作者
论文摘要
我们证明了Frenkel-Gaitsgory的猜想的等级1案例：临界级别的Kac-Moody表示，常规中心角色本地化在Aggine Grassmannian上。该方法在非Archimedean领域的$ GL_2 $的大多数表示中使用了Whittaker模型存在的本地几何Langlands中的类似物。
We prove the rank 1 case of a conjecture of Frenkel-Gaitsgory: critical level Kac-Moody representations with regular central characters localize onto the affine Grassmannian. The method uses an analogue in local geometric Langlands of the existence of Whittaker models for most representations of $GL_2$ over a non-Archimedean field.
