Quadratic Forms, Linear Algebraic Groups, and Cohomology

• Corporate Author: SpringerLink (Online service)
• Other Authors: Colliot-Thľn̈e, Jean-Louis. (Editor), Garibaldi, Skip. (Editor), Sujatha, R. (Editor), Suresh, Venapally. (Editor)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 18
• Subjects: Mathematics.; Geometry, algebraic.; Algebra.; Number theory.; Number Theory.; Algebraic Geometry.; Category Theory, Homological Algebra.; General Algebraic Systems.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-6211-9

This volume of invited works collects the most recent research and developments in quadratic forms, linear algebraic groups, and cohomology; topics that are each at the intersection of algebra, number theory and algebraic geometry. The contributions to this volume are the work of renowned experts an...

Table of Contents:

• - Foreword
• Surveys
• Multiples of forms (Eva Bayer-Fluckiger)
• On Saltman<U+0019>s p-adic curves papers (Eric Brussel)
• Serre<U+0019>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<U+0019>s æ=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 thǒrm̈e d'Amer et Brumer pour les zřo-cycles (Jean-Louis Colliot-Thľn̈e 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 ťale 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).