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Mathematics - Algebra | Quadratic Forms, Linear Algebraic Groups, and Cohomology

Quadratic Forms, Linear Algebraic Groups, and Cohomology

Series: Developments in Mathematics, Vol. 18

Garibaldi, Skip, Sujatha, R., Suresh, Venapally (Eds.)

2010, X, 348p. 94 illus., 47 illus. in color.

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  • Presents the most recent research and developments in quadratic forms, linear algebraic groups and cohomology
  • Dedicated to R. Parimala on the ocassion of her 60th birthday, containing a variety of papers related to the themes of her research
  • Includes results on the following special topics: Iwasawa theory, Witt groups and sheafs, Chow motives, quaternion algebras, p-adic curves, and a proof of the Serre's Conjecture II for function fields of complex surfaces
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.

Content Level » Research

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

Related subjects » Algebra - Number Theory and Discrete Mathematics

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