## A geometric proof of the Feigin-Frenkel theorem

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- by Sam Raskin PDF
- Represent. Theory
**16**(2012), 489-512 Request permission

## 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

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## Additional Information

**Sam Raskin**- Affiliation: Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
- Email: sraskin@math.harvard.edu
- Received by editor(s): June 12, 2011
- Received by editor(s) in revised form: August 21, 2011, and January 3, 2012
- Published electronically: September 20, 2012
- © Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory
**16**(2012), 489-512 - MSC (2010): Primary 17B65, 81R10, 14D24
- DOI: https://doi.org/10.1090/S1088-4165-2012-00417-4
- MathSciNet review: 2972556