Journal
INVENTIONES MATHEMATICAE
Volume 147, Issue 1, Pages 1-+Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s002220100174
Keywords
Shtukas; drinfeld modular varieties; moduli of vector bundles over curves; Langlands' correspondence; function fields; Galois representations; automorphic representations; L-functions; l-adic cohomology; Hecke correspondences; Arthur-Selberg trace formula; Grothendieck-Lefsehetz fixed points formula
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One proves Langlands' correspondence for GL, over function fields. This is a generalization of Drinfeld's proof in the case of rank 2 : Langlands' correspondence is realized in l-adic cohomology spaces of the modular varieties classifying rank r Drinfeld shtukas.
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