Affine Beilinson-Bernstein localization at the critical level

From To appear in forthcoming issues by Sam Raskin, David Yang

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.

Keywords
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Mathematical Subject Classification

Primary 2020:

Milestones
Received: 13 July 2022
Revised: 31 January 2024
Accepted: 25 April 2024

Authors

Sam Raskin

The University of Texas at Austin, Austin, TX

Current address:

Yale University, New Haven, CT David Yang

Harvard University, Cambridge, MA

Current address:

Massachusetts Institute of Technology, Cambridge, MA