eBook ISBN:  9780821878620 
Product Code:  CONM/272.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878620 
Product Code:  CONM/272.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

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 ]