Recent Advances in the Langlands Program

Details Recent Advances in the Langlands Program Recent Advances in the Langlands Program

2003-03-06

arxiv.org/abs/math/0303074v2

Mathematics

Algebraic Geometry

35 pages

Scientific paper

These are the notes for the lecture given by the author at the "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.Drinfled on the quantization of the Hitchin system and the Langlands correspondence for an arbitrary semisimple algebraic group.

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