**Contemporary Mathematics**

Volume: 272;
2000;
311 pp;
Softcover

MSC: Primary 11; 01;

Print ISBN: 978-0-8218-2779-6

Product Code: CONM/272

List Price: $96.00

Individual Member Price: $76.80

**Electronic ISBN: 978-0-8218-7862-0
Product Code: CONM/272.E**

List Price: $96.00

Individual Member Price: $76.80

# Quadratic Forms and Their Applications

Share this page *Edited by *
*Eva Bayer-Fluckiger; David Lewis; Andrew Ranicki*

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 Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.

#### Table of Contents

# Table of Contents

## Quadratic Forms and Their Applications

- Contents vii8 free
- Preface ix10 free
- Conference lectures x11 free
- Conference participants xii13 free
- Conference photo xiv15 free
- Galois cohomology of the classical groups 118 free
- Symplectic lattices 926
- Universal quadratic forms and the Fifteen Theorem 2340
- On the Conway-Schneeberger Fifteen Theorem 2744
- On trace forms and the Burnside ring 3956
- Equivariant Brauer groups 5774
- Isotropy of quadratic forms and field invariants 7390
- Quadratic forms with absolutely maximal splitting 103120
- 2-regularity and reversibility of quadratic mappings 127144
- Quadratic forms in knot theory 135152
- Biography of Ernst Witt (1911–1991) 155172
- Generic splitting towers and generic splitting preparation of quadratic forms 173190
- Local densities of hermitian forms 201218
- Notes towards a constructive proof of Hilbert's theorem on ternary quartics 209226
- On the history of the algebraic theory of quadratic forms 229246
- Local fundamental classes derived from higher K-groups: III 261278
- Hilbert's theorem on positive ternary quartics 287304
- Quadratic forms and normal surface singularities 293310

#### Readership

Graduate students and research mathematicians interested in quadratic forms.