Séminaires et Congrès 2011; 405 pp; softcover Number: 23 ISBN13: 9782856293317 List Price: US$117 Member Price: US$93.60 Order Code: SECO/23
 This volume contains the proceedings of the summer school Galoisian and Arithmetic Theory of Differential Equations, held at the CIRM in Luminy from September 21 to September 25, 2009. This school brought together mathematicians from various areas of research, united by their interest in ordinary differential equations, particularly those that arise in arithmetic. This volume consists of five surveys, corresponding to the five lecture courses given during the school, plus six original papers, corresponding to research talks also given on this occasion. The volume also contains a reworking, by B. Chiarellotto, G. Gerotto, and F. J. Sullivan, of notes of the lectures on exponential modules given by B. M. Dwork at the University of Padova in 1994. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in arithmetic and Galois theories of differential equations. Table of Contents  D. Bertrand  Galois descent in Galois theories
 F. Beukers  Notes on \(A\)hypergeometric functions
 V. Bosser and F. Pellarin  Drinfeld \(A\)quasimodular forms
 G. Casale  An introduction to Malgrange pseudogroup
 B. Chiarellotto<  An invitation to padic differential equations (Edited with the aid of G. Gerotto and F. Sullivan)
 L. Di Vizio and J. Sauloy  Outils pour la classification locale des equations aux \(q\)differences linéaires complexes
 C. Hardouin  Unipotent radicals of Tannakian Galois groups in positive characteristic
 C. Krattenthaler and T. Rivoal  Multivariate \(p\)adic formal congruences and integrality of Taylor coefficients of mirror maps
 A. Pulita  A basic introduction to deformation and confluence of ultrametric differential and \(q\)difference equations
 J. Roques  On the Galois groups of families of regular singular difference systems
 V. P. Spiridonov  Elliptic hypergeometric terms
 B. Chiarellotto<, G. Gerotto, and F. J. Sullivan<  Dwork's 1994 Padova lectures on exponential modules
