Affine Beilinson-Bernstein localization at the critical level

We prove the Frenkel-Gaitsgory localization conjecture describing regular Kac-Moody representations at critical level via eigensheaves on the affine Grassmannian using categorical Moy-Prasad theory. This extends previous work of the authors.

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Publication Details

Journal
Annals of Mathematics
Published
2024-08-30
DOI
https://doi.org/10.4007/annals.2024.200.2.2
Primary Topic
Fault Detection and Control Systems
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article
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article

Affine Beilinson-Bernstein localization at the critical level

Sam Raskin, David Yang
Annals of Mathematics
Fault Detection and Control Systems
article

Affine Beilinson-Bernstein localization at the critical level

Sam Raskin, David Yang
article en

Abstract

We prove the Frenkel-Gaitsgory localization conjecture describing regular Kac-Moody representations at critical level via eigensheaves on the affine Grassmannian using categorical Moy-Prasad theory. This extends previous work of the authors.

Annals of MathematicsVol. 200(2)
Yale University (US), Massachusetts Institute of Technology (US)
Openalex Percentile: Top 85%
Fault Detection and Control Systems
DOISourceOpenAlex
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Affine Beilinson-Bernstein localization at the critical level — Sam Raskin, David Yang · Annals of Mathematics (2024) | TGRS Research Map | TGRS