Nov 28 – 29, 2022
Le Bois-Marie
Europe/Paris timezone

Substitutions in Non-commutative Multivariate Power Series

Nov 28, 2022, 6:15 PM
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette


Prof. Frédéric PATRAS (CNRS, Université Côte d'Azur)


We describe a group law on formal power series in non-commuting variables induced by their interpretation as linear forms on a Hopf algebra of sentences. We study the corresponding structures and show how they can be used to recast in a group theoretic form various identities and transformations on formal power series that have been central in the context of non-commutative probability theory. Based on joint work with K. Ebrahimi-Fard, N. Tapia, and L. Zambotti.

Presentation materials

There are no materials yet.