LEADER 03534nam 2200541 450 001 9910788797903321 005 20220819021247.0 010 $a0-8218-8172-8 010 $a0-8218-4648-5 035 $a(CKB)3240000000070017 035 $a(EBL)3113173 035 $a(SSID)ssj0000629410 035 $a(PQKBManifestationID)11441101 035 $a(PQKBTitleCode)TC0000629410 035 $a(PQKBWorkID)10718804 035 $a(PQKB)10024096 035 $a(MiAaPQ)EBC3113173 035 $a(RPAM)15656875 035 $a(PPN)197108202 035 $a(EXLCZ)993240000000070017 100 $a20090312h20092009 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuadratic forms $ealgebra, arithmetic, and geometry /$fRicardo Baeza [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2009] 210 4$dİ2009 215 $a1 online resource (424 p.) 225 1 $aContemporary mathematics,$v493$x0271-4132 300 $a"Algebraic and Arithmetic Theory of Quadratic Forms, December 13-19, 2007, Frutillar, Chile." 300 $a"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. 320 $aIncludes bibliographical references. 327 $aContents -- Preface -- List of Participants -- H1(X, I??) of conics and Witt kernels in characteristic 2 -- Pythagoras numbers and quadratic field extensions -- On perfection relations in lattices -- Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms -- Representation of reduced special groups in algebras of continuous functions -- Solubility of Fermat equations -- Multiplicative properties of integral binary quadratic forms -- Effective structure theorems for symplectic spaces via height -- Orthogonal involutions on algebras of degree 16 and the Killing form of E8 (with an appendix by Kirill Zainoulline) -- The first Zariski co-homology group of the Witt sheaf over a split simply connected simple algebraic group -- On families of testing formulae for a pp-formula -- Siegel modular forms of small weight and the Witt-operator -- On isotropy of quadratic pairs -- Specialization of forms in the presence of characteristic 2: first steps -- Representation of integers by special positive definite integral quadratic forms -- Hyper-isotropy of bilinear forms in characteristic 2 -- A historical view of the Pythagoras numbers of fields -- The extensions of R-places and application -- Essential dimension -- On the Pfister number of quadratic forms -- Martin Kneser's work on quadratic forms and algebraic groups -- Enumerating perfect forms -- Reduction mod-l of Theta Series of Level-ln -- On a reciprocity theorem of Gauss -- A bound of the number of reduced Arakelov divisors of a number field. 410 0$aContemporary mathematics,$v493$x0271-4132 606 $aForms, Quadratic$vCongresses 615 0$aForms, Quadratic 676 $a512.7/4 702 $aBaeza$b Ricardo$f1942- 712 12$aInternational Conference on the Algebraic and Arithmetic Theory of Quadratic Forms 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788797903321 996 $aQuadratic forms$93675751 997 $aUNINA