Contemporary Mathematics 2000; 311 pp; softcover Volume: 272 ISBN10: 0821827790 ISBN13: 9780821827796 List Price: US$96 Member Price: US$76.80 Order Code: CONM/272
 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. Readership Graduate students and research mathematicians interested in quadratic forms. Table of Contents  E. BayerFluckiger  Galois cohomology of the classical groups
 A.M. Bergé  Symplectic lattices
 J. H. Conway  Universal quadratic forms and the Fifteen Theorem
 M. Bhargava  On the ConwaySchneeberger Fifteen Theorem
 M. Epkenhans  On trace forms and the Burnside ring
 A. Fröhlich and C. T. C. Wall  Equivariant Brauer groups
 D. W. Hoffmann  Isotropy of quadratic forms and field invariants
 O. Izhboldin and A. Vishik  Quadratic forms with absolutely maximal splitting
 A. F. Izmailov  2regularity and reversibility of quadratic mappings
 C. Kearton  Quadratic forms in knot theory
 I. Kersten  Biography of Ernst Witt (19111991)
 M. Knebusch and U. Rehmann  Generic splitting towers and generic splitting preparation of quadratic forms
 M. Mischler  Local densities of hermitian forms
 V. Powers and B. Reznick  Notes towards a constructive proof of Hilbert's theorem on ternary quartics
 W. Scharlau  On the history of the algebraic theory of quadratic forms
 V. P. Snaith  Local fundamental classes derived from higher \(K\)groups: III
 R. G. Swan  Hilbert's theorem on positive ternary quartics
 C. T. C. Wall  Quadratic forms and normal surface singularities
