Astérisque 2005; 436 pp; softcover Number: 302 ISBN10: 2856291848 ISBN13: 9782856291849 List Price: US$124 Individual Members: US$111.60 Order Code: AST/302
 This volume, the sequel to volume 298, is devoted to automorphic forms. However, this volume deals with a narrower topic, since it only concerns automorphic representations of the group \(\mathrm {GSp}(4)\), mostly over the rationals. It deals with geometric questions (cohomology of Siegel varieties), arithmetic ones (Galois representations associated to cohomological cusp forms), and harmonic analytical ones (twisted fundamental lemma with weights). These questions had been more or less mentioned during the Paris Automorphic Semester in 2000, but the contributions gathered here are mostly later developments. 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 number theory. Table of Contents  G. Laumon  Fonctions zêtas des variétés de Siegel de dimension trois
 R. Weissauer  Four dimensional Galois representations
 E. Urban  Sur les représentations \(p\)adiques associées aux représentations cuspidales de \(\mathrm{GSp}_{4/\mathbb{Q}}\)
 A. Genestier and J. Tilouine  Systèmes de TaylorWiles pour \(\mathrm{GSp}_4\)
 D. Whitehouse  The twisted weighted fundamental lemma for the transfer of automorphic forms from \(\mathrm{GSp}(4)\) to \(\mathrm{GL}(4)\)
