Quadratic Forms, Linear Algebraic Groups, and Cohomology

1. Invited articles

   1. Vector Bundles Generated by Sections and Morphisms to Grassmannians

      • F. Laytimi, D. S. Nagaraj

      Pages 295-303

   2. Adams Operations and the Brown-Gersten-Quillen Spectral Sequence

      • Alexander Merkurjev

      Pages 305-313

   3. Non-self-dual Stably Free Modules

      • Madhav V. Nori, Ravi A. Rao, Richard G. Swan

      Pages 315-324

   4. Homotopy Invariance of the Sheaf W _Nis and of Its Cohomology

      • I. Panin

      Pages 325-335

   5. Imbedding Quasi-split Groups in Isotropic Groups

      • M. S. Raghunathan

      Pages 337-348

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.

• 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

• CNRS, Labo. Mathématiques, Université Paris-Sud XI, Orsay CX, France

  Jean-Louis Colliot-Thélène

• Dept. Mathematics &, Computer Science, Emory University, Atlanta, USA

  Skip Garibaldi

• School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

  R. Sujatha

• Dept. Mathematics & Statistics, University of Hyderabad, Hyderabad, India

  Venapally Suresh

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