经典数学丛书（影印版）：模形式与费马大定理

图书标准信息

• 作者 [美]康奈尔（Corness,G.） 著
• 出版社 世界图书出版公司
• 出版时间 2014-03
• 版次 1
• ISBN 9787510070174
• 定价 89.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 582页
• 正文语种 英语

【内容简介】

　　ThisvolumeistherecordofaninstructionalconferenceonnumbertheoryandarithmeticgeometryheldfromAugust9through18，1995atBostonUniversity.Itcontainsexpandedversionsofallofthemajorlecturesgivenduringtheconference.Wewanttothankallofthespeakers，allofthewriterswhosecontributionsmakeupthisvolume，andallofthe"behindthe-scenes"folkswhoseassistancewasindispensableinrunningtheconference.WewouldespeciallyliketoexpressourappreciationtoPatriciaPacelli，whocoordinatedmostofthedetailsoftheconferencewhileinthemidstofwritingherPhDthesis，toJaapTopandJerryTunnell，whosteppedintothebreachonshortnoticewhentwooftheinvitedspeakerswereunavoidablyunabletoattend，andtoStephenGelbart，whosecourageandenthusiasminthefaceofadversityhasbeenaninspirationtous.

【目录】

Preface
Contributors
ScheduleofLectures
Introduction

CHAPTERⅠ
AnOverviewoftheProofofFermat'sLastTheoremGLENNSTEVENS
Aremarkableellipticcurve
Galoisrepresentations
AremarkableGaloisrepresentation
ModularGaloisrepresentations
TheModularityConjectureandWiles'sTheorem
TheproofofFermat'sLastTheorem
TheproofofWiles'sTheorem
References

CHAPTERⅡ
ASurveyoftheArithmeticTheoryofEllipticCurvesJOSEPHH.SILVERMAN
Basicdefinitions
Thegrouplaw
Singularcubics
Isogenies
Theendomorphismring
Torsionpoints
GaloisrepresentationsattachedtoE
TheWeilpairing
Ellipticcurvesoverfinitefields
EllipticcurvesoverCandellipticfunctions
Theformalgroupofanellipticcurve
Ellipticcurvesoverlocalfields
TheSelmerandShafarevich-Tategroups
Discriminants,conductors,andL-series
Dualitytheory
RationaltorsionandtheimageofGalois
Tatecurves
Heightsanddescent
TheconjectureofBirchandSwinnerton-Dyer
Complexmultiplication
Integralpoints
References

CHAPTERⅢ
ModularCurvcs,HeckeCorrespondences,andL-FunctionsDAVIDE.ROHRLICH
Modularcurves
TheHcckccorrospondences
L-functions
Rcfcrcnccs

CHAPTERⅣ
……