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[美] 康奈尔 (Corness,G.) 著 / 世界图书出版公司 / 2014-03 / 平装
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经典数学丛书:模形式与费马大定理
ThisvolumeistherecordofaninstructionalconferenceonnumbertheoryandarithmeticgeometryheldfromAugust9through18,1995atBostonUniversity.Itcontainsexpandedversionsofallofthemajorlecturesgivenduringtheconference.Wewanttothankallofthespeakers,allofthewriterswhosecontributionsmakeupthisvolume,andallofthe"behindthe-scenes"folkswhoseassistancewasindispensableinrunningtheconference.WewouldespeciallyliketoexpressourappreciationtoPatriciaPacelli,whocoordinatedmostofthedetailsoftheconferencewhileinthemidstofwritingherPhDthesis,toJaapTopandJerryTunnell,whosteppedintothebreachonshortnoticewhentwooftheinvitedspeakerswereunavoidablyunabletoattend,andtoStephenGelbart,whosecourageandenthusiasminthefaceofadversityhasbeenaninspirationtous.
PrefaceContributorsScheduleofLecturesIntroductionCHAPTERⅠAnOverviewoftheProofofFermat'sLastTheoremGLENNSTEVENSAremarkableellipticcurveGaloisrepresentationsAremarkableGaloisrepresentationModularGaloisrepresentationsTheModularityConjectureandWiles'sTheoremTheproofofFermat'sLastTheoremTheproofofWiles'sTheoremReferencesCHAPTERⅡASurveyoftheArithmeticTheoryofEllipticCurvesJOSEPHH.SILVERMANBasicdefinitionsThegrouplawSingularcubicsIsogeniesTheendomorphismringTorsionpointsGaloisrepresentationsattachedtoETheWeilpairingEllipticcurvesoverfinitefieldsEllipticcurvesoverCandellipticfunctionsTheformalgroupofanellipticcurveEllipticcurvesoverlocalfieldsTheSelmerandShafarevich-TategroupsDiscriminants,conductors,andL-seriesDualitytheoryRationaltorsionandtheimageofGaloisTatecurvesHeightsanddescentTheconjectureofBirchandSwinnerton-DyerComplexmultiplicationIntegralpointsReferencesCHAPTERⅢModularCurvcs,HeckeCorrespondences,andL-FunctionsDAVIDE.ROHRLICHModularcurvesTheHcckccorrospondencesL-functionsRcfcrcnccsCHAPTERⅣ……
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