Substitutions in Non-Commutative Multivariate Power Series
Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Course Description
Overview
Explore a 46-minute lecture on substitutions in non-commutative multivariate power series presented by Frédéric Patras from CNRS/Université Côte d'Azur at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the description of a group law on formal power series in non-commuting variables, induced by their interpretation as linear forms on a Hopf algebra of sentences. Examine the corresponding structures and discover how they can be applied to reframe various identities and transformations on formal power series in a group theoretic form, which have been crucial in non-commutative probability theory. Learn about the joint work with K. Ebrahimi-Fard, N. Tapia, and L. Zambotti that forms the basis of this presentation.
Syllabus
Frédéric Patras - Substitutions in non-commutative multivariate power series
Taught by
Institut des Hautes Etudes Scientifiques (IHES)
Related Courses
Prequels and Possible Sequels to Topological RecursionIMSA via YouTube Pachner's 3-3 Relations and Hopf Algebras
QuantumTopology via YouTube Induced Functors on Drinfeld Centers via Monoidal Adjunctions
Institute for Pure & Applied Mathematics (IPAM) via YouTube Hopf-Brauer-Severi Varieties
IMSA via YouTube Introduction to Non-Commutative Geometry - Lecture 3
Galileo Galilei Institute via YouTube