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Accueil > Publications > Lectures in Mathematics & Theoretical Physics > Volume 15 : Renormalization and Galois Theories
Volume 15 : Renormalization and Galois Theories
Editors :
Alain Connes (IHÉS, Bures-sur-Yvette, France) Frédéric Fauvet (IRMA, Strabourg, France) Jean-Pierre Ramis (Institut de Mathématiques de Toulouse, France)
ISBN 978-3-03719-073-9 - September 2009, 279 pages, softcover, 17 x 24 cm.
42.00 Euro
This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas : renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory.
The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions.
The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both reseachers and graduate students in mathematics and physics.
Relevant information and order form are available on EMS web site
Dernière mise à jour le 23-03-2020
Dans la même rubrique :
- Présentation
- Volume 32 : Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 2
- Volume 31 : Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 1
- Volume 30 : Handbook of Teichmüller Theory, Volume VII
- Volume 29 : Eighteen Essays in Non-Euclidean Geometry
- Volume 28 : Linear Forms in Logarithms and Applications
- Volume 27 : Handbook of Teichmüller Theory, Volume VI
- Volume 26 : Handbook of Teichmüller Theory, Volume V
- Volume 25 : Metric Measure Geometry. Gromov’s Theory of Convergence and Concentration of Metrics and Measures
- Volume 24 : Free Loop Spaces in Geometry and Topology
- Volume 23 : Sophus Lie and Felix Klein : The Erlangen Program and Its Impact in Mathematics and Physics.
- Volume 22 : Handbook of Hilbert Geometry
- Volume 21 : Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series.
- Volume 20 : Singularities in Geometry and Topology
- Volume 19 : Handbook of Teichmüller Theory, Volume IV
- Volume 18 : Strasbourg Master Class on Geometry
- Volume 17 : Handbook of Teichmüller Theory, Volume III
- Volume 16 : Handbook of Pseudo-Riemannian Geometry and Supersymmetry
- Volume 14 : Dynamical Systems and Processes
- Volume 13 : Handbook of Teichmüler Theory, volume II
- Volume 12 : Quantum Groups
- Volume 11 : Handbook of Teichmüller Theory, Volume I
- Volume 10 : Physics and Number Theory
- Volume 09 : Differential Equations and Quantum Groups
- Volume 08 : AdS/CFT Correspondence : Einstein Metrics and Their Conformal Boundaries
- Volume 07 : Numerical Methods for Hyperbolic and Kinetic Problems
- Volume 06 : Metric Spaces, Convexity and Nonpositive Curvature
- Volume 05 : Infinite Dimensional Groups and Manifolds
- Volume 04 : Three Courses on Partial Differential Equations
- Volume 03 : From Combinatorics to Dynamical Systems
