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

• Record Nr.: UNINA9910480165303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2009]; ©2009
• ISBN: 0-8218-8172-8; 0-8218-4648-5
• Descrizione fisica: 1 online resource (424 p.)
• Collana: Contemporary mathematics ; ; 493
• Disciplina: 512.7/4
• Soggetti: Forms, Quadratic; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "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.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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 continous 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 cohomology 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 Kneserâ€?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""