Quadratic and hermitian forms
著者
書誌事項
Quadratic and hermitian forms
（Conference proceedings / Canadian Mathematical Society, v. 4）
Published by the American Mathematical Society for the Canadian Mathematical Society, c1984
- : pbk
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注記
"1983 Conference on Quadratic Forms and Hermitian K-Theory, held at McMaster University, Hamilton, Ontario, July 11-22, 1983 ... sponsored by the Natural Sciences and Engineering Research Council of Canada and McMaster University"--T.p. verso
Includes bibliographies
内容説明・目次
内容説明
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.
目次
Some remarks on the historical development of the algebraic theory of quadratic forms by A. Pfister The graded Witt ring and galois cohomology, I by J. K. Arason, R. Elman, and B. Jacob An invitation to real spectra by M. Knebusch Hermitian spaces over polynomial rings by M. Ojanguren A proof of Merkurjev's theorem by J. K. Arason Classical groups over rings by L. N. Vaserstein Involutions on simple algebras and orders by W. Scharlau Representations of integral quadratic forms by M. Kneser Topological methods for studying the composition of quadratic forms by K. Y. Lam Composition of quadratic forms in geometry and analysis: some recent applications by A. Kaplan Representation of positive definite quadratic forms by Y. Kitaoka Uniform distribution in linear algebraic groups and related diophantine problems by H.-J. Bartels Spaces of orderings and semialgebraic sets by L. Brocker Homomorphisms of algebraic and classical groups: a survey by A. J. Hahn, D. G. James, and B. Weisfeiler Fields regularly closed with respect to finitely many valuations and orderings by B. Heinemann and A. Prestel.
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