Panoramas et Synthèses 2009; 236 pp; softcover Number: 29 ISBN10: 2856292925 ISBN13: 9782856292921 List Price: US$52 Member Price: US$41.60 Order Code: PASY/29
 This volume contains the first part of the lecture notes of the AsianFrench Summer School on Algebraic Geometry and Number Theory, which was held at the Institut des Hautes Études Scientifiques (BuressurYvette) and the Université ParisSud XI (Orsay) in July 2006. This summer school was devoted to the theory of motives and its recent developments and to related topics, notably Shimura varieties and automorphic representations. The contributions in this first part are expanded versions of the talks introducing the theory of motives by M. Kim and R. Sujatha, the lecture notes "Quelques remarques sur le principe de fonctorialité" by L. Lafforgue and "Lectures on Shimura varieties" by A. Genestier and Ngô B. C. 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 and number theory. Table of Contents  M. Kim  Classical motives and motivic \(L\)functions
 R. Sujatha  Motives from a categorical point of view
 L. Lafforgue  Quelques remarques sur le principe de fonctorialité
 A. Genestier and Ngô B. C.  Lectures on Shimura varieties
 References
