模形式与费马大定理_PDF下载[101MB-百度云]康奈尔

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康奈尔编著的《模形式与费马大定理》内容介绍：this volume is the record of an instructional conference on number theory and arithmetic geometry held from august 9 through 18, 1995 at boston university. it contains expanded versions of all of the major lectures given during the conference. we want to thank all of the speakers, all of the writers whose contributions make up this volume, and all of the “behind-the-scenes” folks whose assistance was indispensable in running the con-ference. we would especially like to express our appreciation to patricia pacelli, who coordinated most of the details of the conference while in the midst of writing her phd thesis, to jaap top and jerry tunnell, who stepped into the breach on short notice when two of the invited speakers were unavoidably unable to attend, and to stephen gelbart, whose courage and enthusiasm in the face of adversity has been an inspiration to us.

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prefacecontributorsschedule of lecturesintroductionchapter ⅰ　an overview of the proof of fermat’s last theoremglenn stevens　1. a remarkable elliptic curve　2. galois representations　3. a remarkable galois representation　4. modular galois representations　5. the modularity conjecture and wiles’s theorem　6. the proof of fermat’s last theorem　7. the proof of wiles’s theorem　referenceschapter ⅱ　a survey of the arithmetic theory of elliptic curves　joseph h. silverman　1. basic definitions　2. the group law　3. singular cubics　4. isogenies　5. the endomorphism ring　6. torsion points　7. galois representations attached to e　8. the well pairing　9. elliptic curves over finite fields　10. elliptic curves over c and elliptic functions　11. the formal group of an elliptic curve　12. elliptic curves over local fields　13. the selmer and shafarevich-tate groups　14. discriminants, conductors, and l-series　15. duality theory　16. rational torsion and the image of galois　17. tate curves　18. heights and descent　19. the conjecture of birch and swinnerton-dyer　20. complex multiplication　21. integral points　referenceschapter ⅲ　modular curves, hecke correspondences, and l-functions　david e. rohrlichchapter ⅳ　galois cohomology　lawrence c. washingtonchapter ⅴ　finite flat group schemes　john tatechapter ⅵ　three lectures on the modularity of pr,3 and the langlands reciprocity conjecture　stephen gelhartchapter ⅶ　serre’s conjectures　bas edixhovenchapter ⅷ　an introduction to the deformation theory of galois representations　barry mazurchapter ⅸ　explicit construction of universal deformation rings　bart de smit and hendrik w. lenstra, jr.chapter ⅹ　hecke algebras and the gorenstein property　acques tilouinechapter ?　criteria for complete intersections　bart de smit, karl rubin, and rene schoofchapter ?　l-adic modular deformations and wiles’s “main conjecture”　fred diamond and kenneth a. ribetchapter ?ⅰ　the flat deformation functor　brian conradchapter ⅹⅳ　hecke rings and universal deformation rings　ehud de shalitchapter ⅹⅴ　explicit families of elliptic curves　with prescribed mod n representations　alice silverbergchapter ⅹⅵ　modularity of mod 5 representations　karl rubinchapter ⅹⅶ　an extension of wiles’ results　fred diamond　appendix to chapter ⅹⅶ　classification of ρe,l by the j invariant of e　fred diamond and kenneth kramerchapter ⅹⅷ　class field theory and the first case of fermat’s last theorem　hendrik w. lenstra, jr. and peter stevenhagenchapter ?ⅹ　remarks on the history of fermat’s last theorem 1844 to 1984　michael rosen　introduction　appendix a: kummer congruence and hilbert’s theorem　bibliography