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Quadratic Forms, Linear Algebraic Groups, and Cohomology

Buch | Hardcover
348 Seiten
2010
Springer-Verlag New York Inc.
978-1-4419-6210-2 (ISBN)

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Collects the papers that address topics related to the research of Raman Parimala (plenary speaker at the ICM 2010), focusing on the interplay between algebra, number theory, and algebraic geometry. This title covers research in areas such as field patching and a proof of the Serre's Conjecture II for function fields of complex surfaces.
We dedicate this volume to Professor Parimala on the occasion of her 60th birthday. It contains a variety of papers related to the themes of her research. Parimala's rst striking result was a counterexample to a quadratic analogue of Serre's conjecture (Bulletin of the American Mathematical Society, 1976). Her in uence has cont- ued through her tenure at the Tata Institute of Fundamental Research in Mumbai (1976-2006),and now her time at Emory University in Atlanta (2005-present). A conference was held from 30 December 2008 to 4 January 2009, at the U- versity of Hyderabad, India, to celebrate Parimala's 60th birthday (see the conf- ence's Web site at http://mathstat.uohyd.ernet.in/conf/quadforms2008). The or- nizing committee consisted of J.-L. Colliot-Thel ' en ' e, Skip Garibaldi, R. Sujatha, and V. Suresh. The present volume is an outcome of this event. We would like to thank all the participants of the conference, the authors who have contributed to this volume, and the referees who carefully examined the s- mitted papers. We would also like to thank Springer-Verlag for readily accepting to publish the volume.
In addition, the other three editors of the volume would like to place on record their deep appreciation of Skip Garibaldi's untiring efforts toward the nal publication.

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.

Erscheint lt. Verlag 28.7.2010
Reihe/Serie Developments in Mathematics ; 18
Zusatzinfo 47 Illustrations, black and white; X, 348 p. 47 illus.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 1-4419-6210-7 / 1441962107
ISBN-13 978-1-4419-6210-2 / 9781441962102
Zustand Neuware
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