  This is a survey of the proof of the global Jacquet-Langlands correspondence
between GL_n and general inner forms, in characteristic zero. The proof is
given after a long introduction recalling in some detail the objects and
results involved. The paper is based on the notes of the lectures I gave at the
doctoral school in CIRM 2016 (Jean-Morlet Chair) organized by Dipendra Prasad,
Volker Heiermann and Fiona Murnaghan. It appeared in 2018 in the volume
Relative Aspects in Representation Theory, Langlands Functoriality and
Automorphic Forms (LNM 2221).
