2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131927This is a Bourbaki's seminar text. We introduce the combinatorial Kashiwara-Vergne conjecture on the Baker-Campbell-Hausdorff serie. After recalling previous results and consequences, we explain the Alekseev-Meinrenken's proof [math.QA/0506499]4 figures, 24 pagesQuantum AlgebraRepresentation Theory17B, 17B25, 22EThe Kashiwara-Vergne conjecturetext