Introduction aux chtoucas pour les groupes r\'eductifs et \`a la param\'etrisation de Langlands globale

Autor:	Lafforgue, Vincent
Jazyk:	francouzština
Rok vydání:	2014
Předmět:	Mathematics - Algebraic Geometry Mathematics - Representation Theory 14G35 14H60 11F70
Druh dokumentu:	Working Paper
Popis:	This is an introduction to the article "Chtoucas pour les groupes r\'eductifs et param\'etrisation de Langlands globale", arXiv:1209.5352. We explain all the ideas of the proof. 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 "automorphic to Galois" direction. 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. Comment: in French. arXiv admin note: substantial text overlap with arXiv:1209.5352
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1404.3998 Zobrazit plný text záznamu View this record from Arxiv