Garibaldi / Colliot-Thélène / Sujatha Quadratic Forms, Linear Algebraic Groups, and Cohomology

1. Auflage 2010
ISBN: 978-1-4419-6211-9
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 18, 348 Seiten, eBook

Reihe: Developments in Mathematics

The invited papers collected in this volume address topics related to the research of Raman Parimala (plenary speaker at the upcoming ICM 2010). These themes focus primarily on the interplay between algebra, number theory, and algebraic geometry. The included contributions cover exciting research in areas such as field patching and a proof of the Serre`s Conjecture II for function fields of complex surfaces. TOC:- 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 µ=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 théorème d`Amer et Brumer pour les zéro-cycles (Jean-Louis Colliot-Thélène 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 étale 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).

Zielgruppe

Research

Autoren/Hrsg.

Colliot-Thélène, Jean-Louis

Garibaldi, Skip

Sujatha, R.

Suresh, Venapally

Inhaltsverzeichnis

Surveys.- Multiples of forms.- On Saltman’s p-Adic Curves Papers.- Serre’s Conjecture II: A Survey.- Field Patching, Factorization, and Local–Global Principles.- Deformation Theory and Rational Points on Rationally Connected Varieties.- Recent Progress on the Kato Conjecture.- Elliptic Curves and Iwasawa’s µ = 0 Conjecture.- Cohomological Invariants of Central Simple Algebras with Involution.- Witt Groups of Varieties and the Purity Problem.- Invited articles.- Some Extensions and Applications of the Eisenstein Irreducibility Criterion.- On the Kernel of the Rost Invariant for E8 Modulo 3.- Une version du théorème d’Amer et Brumer pour les zéro-cycles.- Quaternion Algebras with the Same Subfields.- Lifting of Coefficients for Chow Motives of Quadrics.- Upper Motives of Outer Algebraic Groups.- Triality and étale algebras.- Remarks on Unimodular Rows.- Vector Bundles Generated by Sections and Morphisms to Grassmannians.- Adams Operations and the Brown-Gersten-Quillen Spectral Sequence.- Non-self-dual Stably Free Modules.- Homotopy Invariance of the Sheaf WNis and of Its Cohomology.- Imbedding Quasi-split Groups in Isotropic Groups.