Kashiwara-Vergne from string topology

28.05.2024 15:30 – 16:30

The group KRV acts transitively and freely on solutions to the Kashiwara-Vergne conjecture, a problem in Lie theory alluding to the Baker-Campbell-Hausdorff series. Alekseev-Kawazumi-Kuno-Naef showed that, surprisingly, KRV can be recovered from the group of automorphisms of the Goldman-Turaev Lie bialgebra of the thrice-punctured sphere. The Goldman bracket and the Turaev cobracket are defined on homotopy classes of free loops, and they are both instances of intersection products stemming from string topology. In this talk, we will give a new characterisation of KRV exploiting this tie to string topology.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre