This is volume 1 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.

Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 1 / Malvenuto, Claudia; Chapoton, Frédéric; Fauvet, Frédéric; Thibon, Jean-Yves. - (2020), pp. 1-354. [10.4171/204]

Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 1

Malvenuto Claudia;
2020

Abstract

This is volume 1 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.
2020
Operad, Hopf algebra, algebraic combinatorics, moulds, renormalization, periods, multiple zeta values, resurgent functions, alien calculus, vector fields, diffeomorphisms
Malvenuto, Claudia; Chapoton, Frédéric; Fauvet, Frédéric; Thibon, Jean-Yves
06 Curatela::06a Curatela
Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 1 / Malvenuto, Claudia; Chapoton, Frédéric; Fauvet, Frédéric; Thibon, Jean-Yves. - (2020), pp. 1-354. [10.4171/204]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1544755
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