September 2024 Affine Beilinson-Bernstein localization at the critical level
Sam Raskin, David Yang
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Ann. of Math. (2) 200(2): 487-527 (September 2024). DOI: 10.4007/annals.2024.200.2.2

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.

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Sam Raskin. David Yang. "Affine Beilinson-Bernstein localization at the critical level." Ann. of Math. (2) 200 (2) 487 - 527, September 2024. https://doi.org/10.4007/annals.2024.200.2.2

Information

Published: September 2024
First available in Project Euclid: 30 August 2024

Digital Object Identifier: 10.4007/annals.2024.200.2.2

Subjects:
Primary: 22E57 , 81R10

Keywords: affine Grassmannian , critical level , geometric Langland

Rights: Copyright © 2024 Department of Mathematics, Princeton University

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Vol.200 • No. 2 • September 2024
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