Affine Beilinson-Bernstein localization at the critical level

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.

Authors

Sam Raskin

Department of Mathematics, The University of Texas at Austin, Austin, TX

Current address:

Department of Mathematics, Yale University, New Haven, CT David Yang

Department of Mathematics, Harvard University, Cambridge, MA

Current address:

Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA