• DOI:10.1090/JAMS/897
Corpus ID: 118317537

Chtoucas pour les groupes r\'eductifs et param\'etrisation de Langlands globale

@article{Lafforgue2012ChtoucasPL,
  title={Chtoucas pour les groupes r\'eductifs et param\'etrisation de Langlands globale},
  author={V. Lafforgue},
  journal={arXiv: Algebraic Geometry},
  year={2012}
}

V. Lafforgue

Published 2012

Mathematics

arXiv: Algebraic Geometry

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For any reductive group G over a global function field, we use the cohomology of G-shtukas with multiple modifications and the geometric Satake equivalence to prove the global Langlands correspondence for G in the direction "from automorphic to Galois". Moreover we obtain a canonical decomposition of the spaces of cuspidal automorphic forms indexed by global Langlands parameters. The proof does not rely at all on the Arthur-Selberg trace formula.