quadratic forms and their applications

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1、QuadraticFormsandTheirApplicationsProceedingsoftheConferenceonQuadraticFormsandTheirApplicationsJuly5{9,1999UniversityCollegeDublinEvaBayer-FluckigerDavidLewisAndrewRanickiEditorsPublishedasContemporaryMathematics272,A.M.S.(2000)viiContentsPrefaceixConfer

2、encelecturesxConferenceparticipantsxiiConferencephotoxivGaloiscohomologyoftheclassicalgroupsEvaBayer-Fluckiger1SymplecticlatticesAnne-MarieBerge¶9Universalquadraticformsandthe¯fteentheoremJ.H.Conway23OntheConway-Schneeberger¯fteentheoremManjulBhargava27On

3、traceformsandtheBurnsideringMartinEpkenhans39EquivariantBrauergroupsA.FrohlichandC.T.C.WallÄ57Isotropyofquadraticformsand¯eldinvariantsDetlevW.Hoffmann73QuadraticformswithabsolutelymaximalsplittingOlegIzhboldinandAlexanderVishik1032-regularityandreversibi

4、lityofquadraticmappingsAlexeyF.Izmailov127QuadraticformsinknottheoryC.Kearton135BiographyofErnstWitt(1911{1991)InaKersten155viiiGenericsplittingtowersandgenericsplittingpreparationofquadraticformsManfredKnebuschandUlfRehmann173Localdensitiesofhermitianfor

5、msMauriceMischler201NotestowardsaconstructiveproofofHilbert'stheoremonternaryquarticsVictoriaPowersandBruceReznick209OnthehistoryofthealgebraictheoryofquadraticformsWinfriedScharlau229LocalfundamentalclassesderivedfromhigherK-groups:IIIVictorP.Snaith261Hi

6、lbert'stheoremonpositiveternaryquarticsRichardG.Swan287QuadraticformsandnormalsurfacesingularitiesC.T.C.Wall293ixPrefaceThesearetheproceedingsoftheconferenceonQuadraticFormsAndTheirApplications"whichwasheldatUniversityCollegeDublinfrom5thto9thJuly,1999.T

7、hemeetingwasattendedby82participantsfromEuropeandelsewhere.Therewere13one-hourlecturessurveyingvariousappli-cationsofquadraticformsinalgebra,numbertheory,algebraicgeometry,topologyandinformationtheory.Inaddition,therewere22half-hourlec-turesonmorespeciali

8、zedtopics.Thepaperscollectedtogetherintheseproceedingsareofvarioustypes.Someareexpandedversionsoftheone-hoursurveylecturesdeliveredattheconference.Othersaredevotedtocurrentresearch,andarebasedonthehalf-hourlectures.