Quadratic forms : algebra, arithmetic, and geometry / Ricardo Baeza [and three others], editors.

Format:

Book

Conference/Event

Author/Creator:

International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, Corporate Author.

Contributor:

Baeza, Ricardo, 1942- editor.

Conference Name:

International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2007: Frutillar, Chile), issuing body.

International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms

Series:

Contemporary mathematics, 0271-4132 493

Contemporary mathematics, 493 0271-4132

Language:

English

Subjects (All):

Forms, Quadratic--Congresses.

Forms, Quadratic.

Physical Description:

1 online resource (424 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2009]

Language Note:

English

Contents:

Contents

Preface

List of Participants

H1(X, Î?) of conics and Witt kernels in characteristic 2

Pythagoras numbers and quadratic field extensions

On perfection relations in lattices

Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms

Representation of reduced special groups in algebras of continuous functions

Solubility of Fermat equations

Multiplicative properties of integral binary quadratic forms

Effective structure theorems for symplectic spaces via height

Orthogonal involutions on algebras of degree 16 and the Killing form of E8 (with an appendix by Kirill Zainoulline)

The first Zariski co-homology group of the Witt sheaf over a split simply connected simple algebraic group

On families of testing formulae for a pp-formula

Siegel modular forms of small weight and the Witt-operator

On isotropy of quadratic pairs

Specialization of forms in the presence of characteristic 2: first steps

Representation of integers by special positive definite integral quadratic forms

Hyper-isotropy of bilinear forms in characteristic 2

A historical view of the Pythagoras numbers of fields

The extensions of R-places and application

Essential dimension

On the Pfister number of quadratic forms

Martin Kneser's work on quadratic forms and algebraic groups

Enumerating perfect forms

Reduction mod-l of Theta Series of Level-ln

On a reciprocity theorem of Gauss

A bound of the number of reduced Arakelov divisors of a number field.

Notes:

"Algebraic and Arithmetic Theory of Quadratic Forms, December 13-19, 2007, Frutillar, Chile."

"This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007"--P. [4] of cover.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-8172-8

0-8218-4648-5