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Recent advances in the Langlands Program

Author(s): Edward Frenkel
Journal: Bull. Amer. Math. Soc. 41 (2004), 151-184.
MSC (2000): Primary 11R39, 14D20
Posted: January 8, 2004
MathSciNet review: 2043750
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Abstract | References | Similar articles | Additional information

Abstract: These are the notes for the lecture given by the author at the ``Mathematical Current Events" Special Session of the AMS meeting in Baltimore on January 17, 2003. Topics reviewed include the Langlands correspondence for $GL(n)$ in the function field case and its proof by V. Drinfeld and L. Lafforgue; the geometric Langlands correspondence for $GL(n)$ and its proof by D. Gaitsgory, K. Vilonen and the author; and the work of A. Beilinson and V. Drinfeld on the quantization of the Hitchin system and the Langlands correspondence for an arbitrary semisimple algebraic group.

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Additional Information:

Edward Frenkel
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
Email: frenkel@math.berkeley.edu

DOI: 10.1090/S0273-0979-04-01001-8
PII: S 0273-0979(04)01001-8
Received by editor(s): May 1, 2003,
Received by editor(s) in revised form: September 22, 2003
Posted: January 8, 2004
Additional Notes: Partially supported by grants from the Packard Foundation and the NSF
Notes for the lecture at the ``Mathematical Current Events'' Special Session at the AMS meeting in Baltimore, January 17, 2003
Copyright of article: Copyright 2004, By the author




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