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 Astérisque 2003; 234 pp; softcover Number: 290 ISBN-10: 2-85629-149-X ISBN-13: 978-2-85629-149-8 List Price: US$82 Individual Members: US$73.80 Order Code: AST/290 As in the preceding volumes of this seminar, one finds here fifteen survey lectures on topics of current interest: three lectures on algebraic geometry, two on dynamical systems, one on actions of finite groups, one on combinatorics and algebraic geometry, one on theoretical computer science, one on $$p$$-adic monodromy, one on Iwasawa algebras, one on the Kato conjecture, one on renormalization and Feynman diagrams, one on dualities in string theory, one on the geometric Langlands correspondence, and one on "dessins d'enfants". The book is suitable for graduate students and research mathematicians interested in recent progress in algebraic geometry, number theory, differential equations, mathematical physics, discrete mathematics, combinatorics, and applications to computer science. 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 algebraic geometry, number theory, differential equations, mathematical physics, discrete mathematics, combinatorics, and applications to computer science. Table of Contents Novembre 2001 A. Adem -- Finite group actions on acyclic 2-complexes B. Chazelle -- The PCP theorem J. Coates -- Iwasawa algebras and arithmetic P. Colmez -- Les conjectures de monodromie $$p$$-adiques C. Procesi -- On the $$n!$$-conjecture Mars 2002 D. Bennequin -- Dualités de champs et de cordes L. Boutet de Monvel -- Algèbre de Hopf des diagrammes de Feynman, renormalisation et factorisation de Wiener-Hopf F. Loeser -- Cobordisme des variétés algébriques Y. Meyer -- La conjecture de Kato M. Rapoport -- On the Newton stratification Juin 2002 C. Bonatti -- Dynamiques génériques: hyperbolicité et transitivité O. Debarre -- Variétés rationnellement connexes G. Laumon -- Travaux de Frenkel, Gaitsgory et Vilonen sur la correspondance de Drinfeld-Langlands J. Oesterlé -- Dessins d'enfants R. Pérez-Marco -- KAM techniques in PDE