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Affine Beilinson-Bernstein localization at the critical level for GL2

2020/02/04 by Sam Raskin, Raskin, Sam · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2002.01394

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 GL2 over a non-Archimedean field.

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