Affine Beilinson-Bernstein localization at the critical level for GL2

• 成果类型: Article
• 署名作者: Raskin, Sam
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2022.195.1.4
• 发表日期: 2022
• 页码: 251-335
• 关键词: geometric langlands correspondence; verma modules; lie-algebras; REPRESENTATIONS; parameters; Duality

摘要

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.