Quadratic Forms and Their Applications.

Intro -- Contents -- Preface -- Conference lectures -- Conference participants -- Conference photo -- Galois cohomology of the classical groups -- Symplectic lattices -- Universal quadratic forms and the Fifteen Theorem -- On the Conway-Schneeberger Fifteen Theorem -- On trace forms and the Burnside ring -- Equivariant Brauer groups -- Isotropy of quadratic forms and field invariants -- Quadratic forms with absolutely maximal splitting -- 2-regularity and reversibility of quadratic mappings -- Quadratic forms in knot theory -- 1. The Seifert Matrix -- 2. Blanchfield Duality -- 3. Factorisation of Knots -- 4. Cancellation of Knots -- 5. Knot Cobordism -- 6. Branched Cyclic Covers -- 7. Spinning and Branched Cyclic Covers -- 8. Concluding Remarks -- References -- Biography of Ernst Witt (1911-1991) -- Generic splitting towers and generic splitting preparation of quadratic forms -- Local densities of hermitian forms -- Notes towards a constructive proof of Hilbert's theorem on ternary quartics -- On the history of the algebraic theory of quadratic forms -- Local fundamental classes derived from higher K-groups: III -- Hilbert's theorem on positive ternary quartics -- Quadratic forms and normal surface singularities.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.