Combinatorics and Arithmetic for Physics : Special Days

Collection Combinatorics and Arithmetic for Physics : Special Days

Organizer(s) Gérard H. E. Duchamp, Maxim Kontsevich, Gleb Koshevoy, Sergei Nechaev, and Karol A. Penson

Date(s) 28/11/2022 - 29/11/2022

linked URL https://indico.math.cnrs.fr/event/8730/

00:00:00 / 00:00:00

10 20

Substitutions in non-commutative multivariate power series

By Frédéric Patras

We describe a group law on formal power series in non-commuting variables in- duced 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 se- ries that have been central in the context of non-commutative probability theory. Based on a joint work with K. Ebrahimi-Fard, N. Tapia and L. Zambotti.

Information about the video

Date of recording 28/11/2022
Date of publication 30/11/2022
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Probability

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