The Kashiwara-Vergne conjecture

Charles Torossian (1)

1 IMJ - Institut de Mathématiques de Jussieu

This 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]

Mots clés: Duflo isomorphism; Kontsevich's Quantization; Campbell-Hausdorff

Domaines: Algèbres quantiques [math.QA]; Théorie des représentations [math.RT]

Charles Torossian. The Kashiwara-Vergne conjecture. 2007. ⟨hal-00155389⟩