2003/03/06 by Edward Frenkel, Frenkel, Edward
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Quantum Algebra (math.QA) #math.AG #math.QA
paper · pdf · doi:10.48550/arxiv.math/0303074
35 pages
openalex publication_date 2003/03/06 · arxiv created 2003/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.