Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Representation Theory
Representation Theory
ISSN 1088-4165

A geometric proof of the Feigin-Frenkel theorem


Author: Sam Raskin
Journal: Represent. Theory 16 (2012), 489-512
MSC (2010): Primary 17B65, 81R10, 14D24
Posted: September 20, 2012
Previous version: Original version posted September 20, 2012
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We reprove the theorem of Feigin and Frenkel relating the center of the critical level enveloping algebra of the Kac-Moody algebra for a semisimple Lie algebra to opers (which are certain de Rham local systems with extra structure) for the Langlands dual group. Our proof incorporates a construction of Beilinson and Drinfeld relating the Feigin-Frenkel isomorphism to (more classical) Langlands duality through the geometric Satake theorem.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 17B65, 81R10, 14D24

Retrieve articles in all journals with MSC (2010): 17B65, 81R10, 14D24


Additional Information

Sam Raskin
Affiliation: Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
Email: sraskin@math.harvard.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-2012-00417-4
PII: S 1088-4165(2012)00417-4
Received by editor(s): June 12, 2011
Received by editor(s) in revised form: August 21, 2011, and January 3, 2012
Posted: September 20, 2012
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.