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Softcover ISBN:  9780821846483 
Product Code:  CONM/493 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821881729 
Product Code:  CONM/493.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821846483 
eBook ISBN:  9780821881729 
Product Code:  CONM/493.B 
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AMS Member Price:  $204.00$154.00 

Book DetailsContemporary MathematicsVolume: 493; 2009; 408 ppMSC: Primary 11; 12; 14; 19; 20;
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.
The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.ReadershipGraduate students and research mathematicians interested in quadradic forms (and their applications in algebra), number theory, and algebraic geometry.

Table of Contents

Articles

Roberto Aravire and Bill Jacob  $H^1(X,\nu )$ of conics and Witt kernels in characteristic 2 [ MR 2537090 ]

Karim Johannes Becher and David B. Leep  Pythagoras numbers and quadratic field extensions [ MR 2537091 ]

AnneMarie Bergé and Jacques Martinet  On perfection relations in lattices [ MR 2537092 ]

Siegfried Böcherer, Yumiko Hironaka and Fumihiro Sato  Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms [ MR 2537093 ]

M. Dickmann and F. Miraglia  Representation of reduced special groups in algebras of continuous functions [ MR 2537094 ]

T. D. Browning and R. Dietmann  Solubility of Fermat equations [ MR 2537095 ]

A. G. Earnest and Robert W. Fitzgerald  Multiplicative properties of integral binary quadratic forms [ MR 2537096 ]

Lenny Fukshansky  Effective structure theorems for symplectic spaces via height [ MR 2537097 ]

Skip Garibaldi  Orthogonal involutions on algebras of degree 16 and the Killing form of $E_8$ [ MR 2537098 ]

Stefan Gille  The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group [ MR 2537099 ]

Paweł Gładki and Murray Marshall  On families of testing formulae for a pp formula [ MR 2537100 ]

Tomoyoshi Ibukiyama and Satoshi Wakatsuki  Siegel modular forms of small weight and the Witt operator [ MR 2537101 ]

Nikita A. Karpenko  On isotropy of quadratic pair [ MR 2537102 ]

Manfred Knebusch  Specialization of forms in the presence of characteristic 2: first steps [ MR 2537103 ]

Winfried Kohnen  Representation of integers by special positive definite integral quadratic forms [ MR 2537104 ]

Ahmed Laghribi and Pasquale Mammone  Hyperisotropy of bilinear forms in characteristic 2 [ MR 2537105 ]

David B. Leep  A historical view of the Pythagoras numbers of fields [ MR 2537106 ]

Michał Machura and Katarzyna Osiak  The extensions of $\Bbb R$places and application [ MR 2537107 ]

Alexander S. Merkurjev  Essential dimension [ MR 2537108 ]

R. Parimala, V. Suresh and J.P. Tignol  On the Pfister number of quadratic forms [ MR 2537109 ]

Rudolf Scharlau  Martin Kneser’s work on quadratic forms and algebraic groups [ MR 2537110 ]

Achill Schürmann  Enumerating perfect forms [ MR 2537111 ]

NilsPeter Skoruppa  Reduction mod $l$ of theta series of level $l^n$ [ MR 2537112 ]

Lynne H. Walling  On a reciprocity theorem of Gauss [ MR 2537113 ]

Takao Watanabe and Ryusuke Yoshimitsu  A bound of the number of reduced Arakelov divisors of a number field [ MR 2537114 ]


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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.
The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.
Graduate students and research mathematicians interested in quadradic forms (and their applications in algebra), number theory, and algebraic geometry.

Articles

Roberto Aravire and Bill Jacob  $H^1(X,\nu )$ of conics and Witt kernels in characteristic 2 [ MR 2537090 ]

Karim Johannes Becher and David B. Leep  Pythagoras numbers and quadratic field extensions [ MR 2537091 ]

AnneMarie Bergé and Jacques Martinet  On perfection relations in lattices [ MR 2537092 ]

Siegfried Böcherer, Yumiko Hironaka and Fumihiro Sato  Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms [ MR 2537093 ]

M. Dickmann and F. Miraglia  Representation of reduced special groups in algebras of continuous functions [ MR 2537094 ]

T. D. Browning and R. Dietmann  Solubility of Fermat equations [ MR 2537095 ]

A. G. Earnest and Robert W. Fitzgerald  Multiplicative properties of integral binary quadratic forms [ MR 2537096 ]

Lenny Fukshansky  Effective structure theorems for symplectic spaces via height [ MR 2537097 ]

Skip Garibaldi  Orthogonal involutions on algebras of degree 16 and the Killing form of $E_8$ [ MR 2537098 ]

Stefan Gille  The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group [ MR 2537099 ]

Paweł Gładki and Murray Marshall  On families of testing formulae for a pp formula [ MR 2537100 ]

Tomoyoshi Ibukiyama and Satoshi Wakatsuki  Siegel modular forms of small weight and the Witt operator [ MR 2537101 ]

Nikita A. Karpenko  On isotropy of quadratic pair [ MR 2537102 ]

Manfred Knebusch  Specialization of forms in the presence of characteristic 2: first steps [ MR 2537103 ]

Winfried Kohnen  Representation of integers by special positive definite integral quadratic forms [ MR 2537104 ]

Ahmed Laghribi and Pasquale Mammone  Hyperisotropy of bilinear forms in characteristic 2 [ MR 2537105 ]

David B. Leep  A historical view of the Pythagoras numbers of fields [ MR 2537106 ]

Michał Machura and Katarzyna Osiak  The extensions of $\Bbb R$places and application [ MR 2537107 ]

Alexander S. Merkurjev  Essential dimension [ MR 2537108 ]

R. Parimala, V. Suresh and J.P. Tignol  On the Pfister number of quadratic forms [ MR 2537109 ]

Rudolf Scharlau  Martin Kneser’s work on quadratic forms and algebraic groups [ MR 2537110 ]

Achill Schürmann  Enumerating perfect forms [ MR 2537111 ]

NilsPeter Skoruppa  Reduction mod $l$ of theta series of level $l^n$ [ MR 2537112 ]

Lynne H. Walling  On a reciprocity theorem of Gauss [ MR 2537113 ]

Takao Watanabe and Ryusuke Yoshimitsu  A bound of the number of reduced Arakelov divisors of a number field [ MR 2537114 ]