Astérisque 2004; 502 pp; softcover Number: 296297 List Price: US$122 Individual Members: US$109.80 Order Code: AST/296/97
Item(s) contained in this set are available for individual sale: AST/296 AST/297  These two bound volumes present the proceedings of the conference, Complex Analysis, Dynamical Systems, Summability of Divergent Series and Galois Theories, held in Toulouse on the occasion of J.P. Ramis' sixtieth birthday. The first volume opens with two articles composed of recollections and three articles on J.P. Ramis' works on complex analysis and ODE theory, both linear and nonlinear. This introduction is followed by papers concerned with Galois theories, arithmetic or integrability: analogies between differential and arithmetical theories, \(q\)difference equations, classical or \(p\)adic, the RiemannHilbert problem and renormalization, \(b\)functions, descent problems, Krichever modules, the set of integrability, Drach theory, and the VI\({}^{{th}}\) Painlevé equation. The second volume contains papers dealing with analytical or geometrical aspects: Lyapunov stability, asymptotic and dynamical analysis for pencils of trajectories, monodromy in moduli spaces, WKB analysis and Stokes geometry, first and second Painlevé equations, normal forms for saddlenode type singularities, and invariant tori for PDEs. The volumes are suitable for graduate students and researchers interested in differential equations, number theory, geometry, and topology. 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 researchers interested in differential equations, number theory, geometry, and topology. Table of Contents  B. Malgrange  Les premiers travaux de JeanPierre Ramis
 G. Ruget  Témoignage
 D. Bertrand  Travaux de J.P. Ramis sur les équations différentielles linéaires
 D. Cerveau  Travaux de J.P. Ramis sur les équations différentielles non linéaires
 M. LodayRichaud  Souvenirs strasbourgeois
 Y. André  Galois representations, differential equations, and \(q\)difference equations: sketch of a \(p\)adic unification
 Y. André and L. Di Vizio  \(q\)difference equations and \(p\)adic local monodromy
 A. Connes  Renormalisation et ambiguité galoisienne
 Y. Laurent  \(b\)functions and integrable solutions of holonomic \(\mathcal D\)module
 A. L. Neto  Curvature of pencils of foliations
 M. van der Put  Skew differential fields, differential and difference equations
 M. van der Put and M. Reversat  Krichever modules for difference and differential equations
 J. Sauloy  Algebraic construction of the Stokes sheaf for irregular linear \(q\)difference equations
 H. Umemura  Monodromy preserving deformation and differential Galois group I
 F. Cano, R. Moussu, and F. Sanz  Pinceaux de courbes intégrales d'un champ de vecteurs analytique
 B. Dubrovin  On analytic families of invariant tori for PDEs
 N. Joshi, K. Kahwara, and M. Mazzocco  Generating function associated with the determinant formula for the solutions of the Painlevé II equation
 V. Kaloshin, J. N. Mather, and E. Valdinoci  Instability of resonant totally elliptic points of symplectic maps in dimension \(4\)
 T. Kawai, T. Koike, Y. Nishikawa, and Y. Takei  On the Stokes geometry of higher order Painlevé equations
 F. Loray  Versal deformation of the analytic saddlenode
 C. Simpson  Asymptotics for general connections at infinity
