An action of the Grothendieck-Teichmuller group on genus zero Kashiwara-Vergne solutions (Iva HALACHEVA, Northeastern)

27.05.2025 15:30 – 16:30

We identify genus zero Kashiwara–Vergne solutions which come from Drinfeld associators with moperad isomorphisms between the parenthesized braid and parenthesized chord diagram moperads. This extends the Alekseev–Enriquez–Torossian explicit construction of Kashiwara-Vergne solutions from Drinfeld associators, and provides explicit formulas for genus zero Kashiwara-Vergne solutions. Moreover, we show that our construction is a map of torsors, giving explicit descriptions of a free and transitive action of the Grothendieck–Teichmuller groups on genus zero KV solutions. This is joint work with Z. Dancso, G. Laplante-Anfossi, and M. Robertson.

Lieu

Bâtiment: Conseil Général 7-9

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

entrée libre