Anton Alekseev - The Kashiwara-Vergne theory and 2-dimensional topology
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2017-06-12

Abstract:
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.