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 $\mathrm{GL}_2$ over a non-Archimedean field.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have