Quadratic forms and their applications : proceedings of the Conference on Quadratic Forms and Their Applications, July 5-9, 1999, University College Dublin / Eva Bayer-Fluckiger, David Lewis, Andrew Ranicki, editors.

Format:

Book

Conference/Event

Author/Creator:

Conference on Quadratic Forms and Their Applications, Corporate Author.

Contributor:

Bayer-Fluckiger, Eva, 1951- editor.

Lewis, David, editor.

Ranicki, Andrew, 1948- editor.

Conference Name:

Conference on Quadratic Forms and Their Applications (1999 : University College Dublin), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; 272.

Contemporary mathematics, 0271-4132 ; 272

Language:

English

Subjects (All):

Forms, Quadratic--Congresses.

Forms, Quadratic.

Physical Description:

1 online resource (330 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2000]

Language Note:

English

Summary:

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.

Contents:

""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""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7862-X

0-8218-5608-1