Renormalization and Galois Theories
Editors
Alain Connes
IHÉS, Bures-sur-Yvette, FranceFrédéric Fauvet
IRMA, Strasbourg, FranceJean-Pierre Ramis
Institut de Mathématiques de Toulouse, France
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p. v PrefaceAlain ConnesFrédéric FauvetJean-Pierre Ramis
pp. vii–viii ForewordAlain Connes
p. ix Contentspp. 1–37 Noncommutative geometry and motives (à quoi servent les endomotifs?)Caterina Consani
pp. 39–82 Renormalisation of non-commutative field theoriesVincent RivasseauFabien Vignes-Tourneret
pp. 83–163 Mould expansions for the saddle-node and resurgence monomialsDavid Sauzin
pp. 165–177 Galois theory, motives and transcendental numbersYves André
pp. 179–207 The combinatorics of Bogoliubov’s recursion in renormalizationKurusch Ebrahimi-FardDominique Manchon
pp. 209–227 (Non)commutative Hopf algebras of trees and (quasi)symmetric functionsMichael E. Hoffman
pp. 229–246 Formal differential equations and renormalizationFrédéric Menous
pp. 247–270 Feynman integrals and multiple polylogarithmsStefan Weinzierl