This is volume 2 of a 2-volume work comprising a total of 14 refereed research articles which stem from the CARMA Conference (Algebraic Combinatorics, Resurgence, Moulds and Applications), held at the Centre International de Rencontres Mathématiques in Luminy, France, from June 26 to 30, 2017.
The conference did notably emphasise the role of Hopf algebraic techniques and related concepts (e.g. Rota–Baxter algebras, operads, Ecalle’s mould calculus) which have lately proved pervasive in combinatorics, but also in many other fields, from multiple zeta values to the algebraic study of control systems and the theory of rough paths.
The volumes should be useful to researchers or graduate students in mathematics working in these domains and to theoretical physicists involved with resurgent functions and alien calculus.
Keywords: Operad, Hopf algebra, algebraic combinatorics, moulds, renormalization, periods, multiple zeta values, resurgent functions, alien calculus, vector fields, diffeomorphisms
Author(s): Frédéric Chapoton, Frédéric Fauvet, Claudia Malvenuto, Jean-Yves Thibon
Series: IRMA Lectures in Mathematics and Theoretical Physics Vol. 32
Year: 2020
Language: English
Pages: 397
Special values of finite multiple harmonic q-series at roots of unity
Henrik Bachmann, Yoshihiro Takeyama and Koji Tasaka
Mould calculus: from primary to secondary mould symmetries
Olivier Bouillot
Renormalisation and locality: branched zeta values
Pierre Clavier, Li Guo, Sylvie Paycha and Bin Zhang
The scrambling operators applied to multizeta algebraand singular perturbation analysis
Jean Ecalle
Quasi-shuffle algebras and applications
Michael E. Hoffman
Planar binary trees in scattering amplitudes
Carlos R. Mafra
A study on prefixes of c2 invariants
Karen Yeats
List of contributors
