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

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