The Kashiwara-Vergne theory and 2-dimensional topology
Apparaît dans la collection : Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
The Kashiwara-Vergne problem is a property of the Baker-Campbell-Hausdorff series which was designed to study the Duflo Theorem in Lie theory. Surprisingly, it is related to many other fields of Mathematics including the Drinfled’s theory of associators and the theory of multiple zeta values. An interesting new development is a link between the Kashiwara-Vergne theory and 2-dimensional topology encoded in the Goldman bracket and Turaev cobracket on spaces of homotopy classes of loops on surfaces. The talk is based on joint works with B. Enriquez, N. Kawazumi, Y. Kuno, F. Naef, E. Meinrenken and C. Torossian.
