Quadratic Forms, Linear Algebraic Groups, and Cohomology

  • Jean-Louis Colliot-Thélène
  • Skip Garibaldi
  • R. Sujatha
  • Venapally Suresh

Part of the Developments in Mathematics book series (DEVM, volume 18)

Table of contents

  1. Front Matter
    Pages i-x
  2. Surveys

    1. Front Matter
      Pages 1-1
    2. Eva Bayer-Fluckiger
      Pages 3-11
    3. Eric Brussel
      Pages 13-39
    4. Philippe Gille
      Pages 41-56
    5. Shuji Saito
      Pages 109-124
    6. Kirill Zainoulline
      Pages 173-185
  3. Invited Articles

    1. Front Matter
      Pages 187-187
    2. Vladimir Chernousov
      Pages 199-214
    3. Jean-Louis Colliot-Thélène, Marc Levine
      Pages 215-223
    4. Skip Garibaldi, David J. Saltman
      Pages 225-238
    5. Nikita A. Karpenko
      Pages 249-257
    6. Max-Albert Knus, Jean-Pierre Tignol
      Pages 259-286
    7. N. Mohan Kumar, M. Pavaman Murthy
      Pages 287-293

About this book

Introduction

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 and present new results related to the research of Raman Parimala, to whom this collection is dedicated. Some specific topics presented in this volume include, Iwasawa theory, Witt groups and sheafs, Chow motives, quaternion algebras, p-adic curves, and progress on the Kato conjecture as well as topics of recent interest such as field patching and a proof of the Serre's Conjecture II for function fields of complex surfaces. This volume is intended for researchers and graduate students specializing in algebra, number theory, and algebraic geometry and may be suitable for supplementary use in an advanced graduate course.

Keywords

Algebraic Geometry Algebraic Number Theory Cohomology Field Patching ICM 2010 Iwasawa Theory K-Theory Linear Algebraic Groups Number theory Quadratic Forms Raman Parimala Serre's Conjecture linear algebra p-adic Curves

Editors and affiliations

  • Jean-Louis Colliot-Thélène
    • 1
  • Skip Garibaldi
    • 2
  • R. Sujatha
    • 3
  • Venapally Suresh
    • 4
  1. 1.CNRS, Labo. MathématiquesUniversité Paris-Sud XIOrsay CXFrance
  2. 2.Dept. Mathematics &, Computer ScienceEmory UniversityAtlantaUSA
  3. 3.School of MathematicsTata Institute of Fundamental ResearchMumbaiIndia
  4. 4.Dept. Mathematics & StatisticsUniversity of HyderabadHyderabadIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-6211-9
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-6210-2
  • Online ISBN 978-1-4419-6211-9
  • Series Print ISSN 1389-2177
  • About this book