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Quadratic and Hermitian Forms
Edited by: I. Hambleton and C. R. Riehm
A co-publication of the AMS and Canadian Mathematical Society.
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Conference Proceedings, Canadian Mathematical Society
1984; 338 pp; softcover
Volume: 4
Reprint/Revision History:
reprinted 1993
ISBN-10: 0-8218-6008-9
ISBN-13: 978-0-8218-6008-3
List Price: US$62
Member Price: US$49.60
Order Code: CMSAMS/4
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This book contains the proceedings of the 1983 Seminar on Quadratic and Hermitian Forms held at McMaster University, July 1983. Between 1945 and 1965, most of the work in quadratic (and hermitian) forms took place in arithmetic theory (M. Eichler, M. Kneser, O. T. O'Meara). In the mid-sixties, the algebraic theory of quadratic forms experienced a reawakening with the fundamental discoveries of A. Pfister. More recently, there have been signs that the subject, in both its algebraic and arithmetic aspects, is once more in a state of change, reaching out into new and different areas. Since the advent of surgery theory in the late sixties, that subject has been one of the principal users of the theory of quadratic and hermitian forms. Therefore, hermitian \(K\)-theory was included within the scope of the conference to further the contact between its practitioners and those in quadratic forms.

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

Table of Contents

  • A. Pfister -- Some remarks on the historical development of the algebraic theory of quadratic forms
  • J. K. Arason, R. Elman, and B. Jacob -- The graded Witt ring and galois cohomology, I
  • M. Knebusch -- An invitation to real spectra
  • M. Ojanguren -- Hermitian spaces over polynomial rings
  • J. K. Arason -- A proof of Merkurjev's theorem
  • L. N. Vaserstein -- Classical groups over rings
  • W. Scharlau -- Involutions on simple algebras and orders
  • M. Kneser -- Representations of integral quadratic forms
  • K. Y. Lam -- Topological methods for studying the composition of quadratic forms
  • A. Kaplan -- Composition of quadratic forms in geometry and analysis: some recent applications
  • Y. Kitaoka -- Representation of positive definite quadratic forms
  • H.-J. Bartels -- Uniform distribution in linear algebraic groups and related diophantine problems
  • L. Bröcker -- Spaces of orderings and semialgebraic sets
  • A. J. Hahn, D. G. James, and B. Weisfeiler -- Homomorphisms of algebraic and classical groups: a survey
  • B. Heinemann and A. Prestel -- Fields regularly closed with respect to finitely many valuations and orderings
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