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Product Code:  CONM/272 
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Book DetailsContemporary MathematicsVolume: 272; 2000; 311 ppMSC: Primary 11; 01;
This volume outlines the proceedings of the conference on “Quadratic Forms and Their Applications” held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the ConwaySchneeberger Fifteen Theorem on integervalued quadratic forms and the first Englishlanguage biography of Ernst Witt, founder of the theory of quadratic forms.
ReadershipGraduate students and research mathematicians interested in quadratic forms.

Table of Contents

Articles

Eva BayerFluckiger  Galois cohomology of the classical groups [ MR 1803356 ]

AnneMarie Bergé  Symplectic lattices [ MR 1803357 ]

J. H. Conway  Universal quadratic forms and the fifteen theorem [ MR 1803358 ]

Manjul Bhargava  On the ConwaySchneeberger fifteen theorem [ MR 1803359 ]

Martin Epkenhans  On trace forms and the Burnside ring [ MR 1803360 ]

A. Fröhlich and C. T. C. Wall  Equivariant Brauer groups [ MR 1803361 ]

Detlev W. Hoffmann  Isotropy of quadratic forms and field invariants [ MR 1803362 ]

Oleg Izhboldin and Alexander Vishik  Quadratic forms with absolutely maximal splitting [ MR 1803363 ]

Alexey F. Izmailov  2regularity and reversibility of quadratic mappings [ MR 1803364 ]

C. Kearton  Quadratic forms in knot theory [ MR 1803365 ]

Ina Kersten  Biography of Ernst Witt (1911–1991) [ MR 1803366 ]

Manfred Knebusch and Ulf Rehmann  Generic splitting towers and generic splitting preparation of quadratic forms [ MR 1803367 ]

Maurice Mischler  Local densities of Hermitian forms [ MR 1803368 ]

Victoria Powers and Bruce Reznick  Notes towards a constructive proof of Hilbert’s theorem on ternary quartics [ MR 1803369 ]

Winfried Scharlau  On the history of the algebraic theory of quadratic forms [ MR 1803370 ]

Victor P. Snaith  Local fundamental classes derived from higher $K$groups. III [ MR 1803371 ]

Richard G. Swan  Hilbert’s theorem on positive ternary quartics [ MR 1803372 ]

C. T. C. Wall  Quadratic forms and normal surface singularities [ MR 1803373 ]


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This volume outlines the proceedings of the conference on “Quadratic Forms and Their Applications” held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the ConwaySchneeberger Fifteen Theorem on integervalued quadratic forms and the first Englishlanguage biography of Ernst Witt, founder of the theory of quadratic forms.
Graduate students and research mathematicians interested in quadratic forms.

Articles

Eva BayerFluckiger  Galois cohomology of the classical groups [ MR 1803356 ]

AnneMarie Bergé  Symplectic lattices [ MR 1803357 ]

J. H. Conway  Universal quadratic forms and the fifteen theorem [ MR 1803358 ]

Manjul Bhargava  On the ConwaySchneeberger fifteen theorem [ MR 1803359 ]

Martin Epkenhans  On trace forms and the Burnside ring [ MR 1803360 ]

A. Fröhlich and C. T. C. Wall  Equivariant Brauer groups [ MR 1803361 ]

Detlev W. Hoffmann  Isotropy of quadratic forms and field invariants [ MR 1803362 ]

Oleg Izhboldin and Alexander Vishik  Quadratic forms with absolutely maximal splitting [ MR 1803363 ]

Alexey F. Izmailov  2regularity and reversibility of quadratic mappings [ MR 1803364 ]

C. Kearton  Quadratic forms in knot theory [ MR 1803365 ]

Ina Kersten  Biography of Ernst Witt (1911–1991) [ MR 1803366 ]

Manfred Knebusch and Ulf Rehmann  Generic splitting towers and generic splitting preparation of quadratic forms [ MR 1803367 ]

Maurice Mischler  Local densities of Hermitian forms [ MR 1803368 ]

Victoria Powers and Bruce Reznick  Notes towards a constructive proof of Hilbert’s theorem on ternary quartics [ MR 1803369 ]

Winfried Scharlau  On the history of the algebraic theory of quadratic forms [ MR 1803370 ]

Victor P. Snaith  Local fundamental classes derived from higher $K$groups. III [ MR 1803371 ]

Richard G. Swan  Hilbert’s theorem on positive ternary quartics [ MR 1803372 ]

C. T. C. Wall  Quadratic forms and normal surface singularities [ MR 1803373 ]