Includes bibliographical references.

Oneparticle irreducibility with initial correlations ; Multiple zeta values and periods: from moduli spaces to Feynman integrals ; From quantum electrodynamics to posets of planar binary trees ; Sweedler's duals and Schutzenberger's calculus ; Primitive elements of the Hopf algebra of free quasisymmetric functions ; A renormalisation group approach to stochastic Lwner evolutions ; On the causal gauge principle ; Abstract integration, combinatorics of trees and differential equations ; Rooted trees appearing in products and coproducts ; Magnus expansions and beyond ; Wilsonian renormalization, differential equations and Hopf algebras ; Algebraic analysis of nonrenormalization theorems in supersymmetric field theories ; Not so nonrenormalizable gravity ; Renormalised multiple zeta values which respect quasishuffle relations ; Formulas for the ConnesMoscovici Hopf algebra ; Hopf algebras and the combinatorics of connected graphs in quantum field theory ; Hopf algebras of formal diffeomorphisms and numerical integration on manifolds ; A combinatorial and field theoretic path to quantum gravity: the new challenges of group field theory ; Noncommutative formal Taylor expansions and second quantised regularised traces ; Motives: an introductory survey for physicists ; Combinatorics and Feynman graphs for gauge theories ; Multiscale analysis and noncommutative field theory Christian Brouder and Frederic Patras ; Francis Brown ; Frederic Chapoton and Alessandra Frabetti ; Gerard H E Duchamp and Christophe Tollu ; L Foissy ; Roland Friedrich ; Jose M GraciaBondia ; Massimiliano Gubinelli ; Ralf Holtkamp ; Arieh Iserles ; T Krajewski and P Martinetti ; E Kraus ; Dirk Kreimer ; Dominique Manchon ; Frederic Menous ; Angela Mestre and Robert Oeckl ; Alexander Lundervold and Hans MuntheKaas ; D Oriti ; Sylvie Paycha ; Abhijnan Rej ; Walter D van Suijlekom ; Fabien VignesTourneret