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Chtoucas de Drinfeld et correspondance de Langlands |
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| Authors: | Laurent Lafforgue |
| Institution: | (1) Université de Paris-Sud, UMR 8628 du CNRS, Mathématique, bat. 425, 91405 Orsay Cedex, France, FR;(2) Institut des Hautes études Scientifiques, Le Bois-Marie, 35, route de Chartres, 91440 Bures-Sur-Yvette, France, FR |
| Abstract: | One proves Langlands’ correspondence for GL r 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. Oblatum 13-X-2000 & 7-VI-2001?Published online: 12 October 2001 |
| 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-Lefschetz fixed points formula |
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