Quadratic Forms, Linear Algebraic Groups, and Cohomology

- Foreword.- Surveys.- Multiples of forms (Eva Bayer-Fluckiger).- On Saltman's p-adic curves papers (Eric Brussel).- Serre's Conjecture II: a survey (Philippe Gille).- Field patching, factorization, and local-global principles (Daniel Krashen).- Deformation theory and rational points on rationally connected varieties (Max Lieblich).- Recent progress on the Kato Conjecture (Shuji Saito).- Elliptic curves and Iwasawa's u=0 conjecture (R. Sujatha).- Cohomological invariants of central simple algebras with involution (Jean-Pierre Tignol).- Witt groups of varieties and the purity problem (Kirill Zainoulline).- Invited articles.- Some extensions and applications of Eisenstein irreducibility criterion (Anuj Bishnoi and Sudesh K. Khanduja).- On the kernel of the Rost invariant for E8 modulo 3 (V. Chernousov).- Une version du theoreme d'Amer et Brumer pour les zero-cycles (Jean-Louis Colliot-Thelene and Marc Levine).- Quaternion algebras with the same subfields (Skip Garibaldi and David J. Saltman).- Lifting of coefficients for Chow motives of quadrics (Olivier Haution).- Upper motives of outer algebraic groups (Nikita Karpenko).- Triality and etale algebras (Max-Albert Knus and Jean-Pierre Tignol).- Vector bundles generated by sections and morphisms to Grassmannians (F. Laytimi and D.S. Nagaraj).- Adams operations and the Brown-Gersten-Quillen spectral sequence (Alexander Merkurjev).- Remarks on unimodular rows (N. Mohan Kumar and M. Pavaman Murthy).- Non-self-dual stably free modules (Madhav V. Nori, Ravi A. Rao, and Richard G. Swan).- Homotopy invariance of the sheaf WNis and of its cohomology (I. Panin).- Imbedding quasi-split groups in isotropic groups (M.S. Raghunathan).