Quadratic Forms, Linear Algebraic Groups, and Cohomology - Couverture souple

Livre 13 sur 67: Developments in Mathematics
 
9781461426301: Quadratic Forms, Linear Algebraic Groups, and Cohomology

Synopsis

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.

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Présentation de l'éditeur

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.

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Autres éditions populaires du même titre

9781441962102: Quadratic Forms, Linear Algebraic Groups, and Cohomology

Edition présentée

ISBN 10 :  1441962107 ISBN 13 :  9781441962102
Editeur : Springer-Verlag New York Inc., 2010
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