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 Astérisque 2013; 556 pp; softcover Number: 352 ISBN-13: 978-2-85629-371-3 List Price: US$141 Individual Members: US$112.80 Order Code: AST/352 A note to readers: Many of the papers in this volume are in French. This 64th volume of the Bourbaki Seminar contains the texts of the sixteen survey lectures presented during 2011/2012: one about functional analysis, one about complexity of algorithms, two on partial differential equations, four on algebraic geometry, one about differential geometry, one about ergodic theory, three on number theory, and three other lectures on mathematical physics. 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. Table of Contents NOVEMBRE 2011 M. Brion -- Restriction de représentations et projections d'orbites coadjointes C. Mouhot -- Stabilité orbitale pour le système de Vlasov-Poisson gravitationnel P. Pansu -- Difficulté d'approximation P. Raphaël -- Concentration compacité à la Kenig-Merle JANVIER 2012 K. Ball -- The Ribe programme P. Deligne -- Multizêtas, d'après Francis Brown B. Poonen -- Average rank of elliptic curves C. Sabbah -- Théorie de Hodge et correspondance de Hitchin-Kobayashi sauvages MARS 2012 M. Dafermos -- The formation of black holes in general relativity C. Garban -- Quantum gravity and the KPZ formula D. Lannes -- Space time resonances J. Wolf -- Arithmetic and polynomial progressions in the primes JUIN 2012 N. Bergeron -- La conjecture des sous-groupes de surfaces A. Ducros -- Les espaces de Berkovich sont modérés J.-M. Fontaine -- Perfectoïdes, presque pureté et monodromiepoids F. Ledrappier -- Mesures stationnaires sur les espaces homogènes