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BEILINSON-BERNSTEIN LOCALIZATION OVER THE HARISH-CHANDRA CENTER

By David Ben-zvi and David Nadler

Abstract

Abstract. We present a simple proof of a strengthening of the derived Beilinson-Bernstein localization theorem using the formalism of descent in derived algebraic geometry. The arguments and results apply to arbitrary modules without the need to fix infinitesimal character. Roughly speaking, we demonstrate that all Ug-modules are the invariants, or equivalently coinvariants, of the action of intertwining functors (a refined form of Weyl group symmetry). This is a quantum version of descent for the Grothendieck-Springer simultaneous resolution

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.362.6838
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