Affine Beilinson-Bernstein localization at the critical level for $GL_2$
Representation Theory
2020-02-05 v1 Quantum Algebra
Abstract
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 over a non-Archimedean field.
Cite
@article{arxiv.2002.01394,
title = {Affine Beilinson-Bernstein localization at the critical level for $GL_2$},
author = {Sam Raskin},
journal= {arXiv preprint arXiv:2002.01394},
year = {2020}
}