Quadratic Forms and Their Applications

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Quadratic Forms and Their Applications PDF

PDF NameQuadratic Forms and Their Applications
Published/Updated On
Category
RegionGlobal
No. of Pages314
PDF Size2.66 MB
LanguageEnglish

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Quadratic Forms and Their Applications PDF - Overview

Quadratic forms and their applications – In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory (orthogonal group), differential geometry (Riemannian metric), differential topology (intersection forms of four-manifolds), and Lie theory (the Killing form).

Quadratic forms and their applications

Contents of Quadratic forms and their applications

  • Preface
  • Conference lectures
  • Conference participants
  • Conference photo
  • Galois cohomology of the classical groups by Eva Bayer-Fluckiger
  • Syplectic lattices by Anne-Marie Berge
  • Universal quadratic forms and the fifteen theorem by J.H. Conway
  • On the Conway-Schneeberger fifteen theorem by Manjul Bhargava
  • On trace forms and the Burnside ring by Martin Epkenhans
  • Equivariant Brauer groups by A. Frohlich and C.T.C. Wall
  • Isotropy of quadratic forms and field invariants by Detlev W. Hoffmann
  • Quadratic forms with absolutely maximal splitting by Oleg Izhboldin and Alexander Vishik
  • 2-regularity and reversibility of quadratic mappings by Alexey F. Izmailov
  • Quadratic forms in knot theory by C. Kearton
  • Biography of Ernst Witt (1911–1991) by Ina Kersten
  • Generic splitting towers and generic splitting preparation of quadratic forms by Manfred Knebusch and Ulf Rehmann
  • Local densities of hermitian forms by Maurice Mischler
  • Notes towards a constructive proof of Hilbert’s theorem on ternary quartics by Victoria Powers and Bruce Reznick
  • On the history of the algebraic theory of quadratic forms by Winfried Scharlau
  • Local fundamental classes derived from higher K-groups: III by Victor P. Snaith
  • Hilbert’s theorem on positive ternary quartics by Richard G. Swan
  • Quadratic forms and normal surface singularities by C.T.C. Wall
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