Who Is Alexander Grothendieck

Who Is Alexander Grothendieck

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时间:2019-03-13

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1、WhoIsAlexanderGrothendieck?WinfriedScharlauThisarticleisatranslationofthearticle“WeristAlexanderGrothendieck?”,whichoriginallyappearedinGermanintheAnnualReport2006oftheMathematicsResearchInstituteinOberwolfach,Germany(copyright©Math-ematischesForschungsinstitutOberwolf

2、ach2007).ThearticleisbasedontheOberwolfachLecturedeliveredbyWinfriedScharlauin2006.Withthepermissionoftheauthorandoftheinstitute,thearticlewastranslatedintoEnglishbyD.Kotschick,Ludwig-Maximilians-UniversitätMünchen,withtheassistanceofAllynJackson,Noticesdeputyeditor(tr

3、anslationcopyright©D.Kotschick2008).Scharlauiswritingathree-volumebiography,WeristAlexanderGrothendieck?:Anarchie,Mathematik,Spiritual-ität.Thefirstvolume,whichprimarilytreatsthelivesofGrothendieck’sparents,hasappearedasaself-publishedbookandisavailableontheWebathttp:/

4、/www.scharlau-online.de/ag_1.html.oramathematician,itisnothardtogivethoughanexhaustiveandsatisfactoryanswerisananswertothequestionposedinthesurelyimpossible.titleofthislecture:GrothendieckisoneofGrothendieck’sParentsFthemostimportantmathematiciansofthesecondhalfofthetw

5、entiethcentury,toOnecanonlyunderstandthelifeofGrothendieck—whomweoweinparticularacompleterebuildingifonecanunderstanditatall—ifoneknowsaboutthelifeofhisparents.Ireportbrieflyontheofalgebraicgeometry.Thissystematicrebuildinglifeofhisfather.permittedthesolutionofdeepnumb

6、er-theoreticHewasfromaJewishfamily,was(probably)problems,amongthemthefinalstepintheproofcalledAlexanderSchapiro,andwasbornin1890oftheWeilConjecturesbyDeligne,theproofofinNovozybkovintheborderareaofRussia,WhitetheMordellConjecturebyFaltings,andthesolu-Russia,andUkraine.

7、AttheageoffifteenhewastionofFermat’sLastProblembyWiles.However,recruitedbyanarchistgroupsthatwerefightingthislectureisconcernednotwithGrothendieck’sagainstthetsaristregime;in1905Russiawasinmathematicsbutwithhisveryunusuallifeontheuproar.Aftertwoyearsoffiercebattles,hea

8、ndfringesofhumansociety.Inparticular,thereis,allofhiscomradesweretakenasprisoners.Allontheonehand,thequestionofwhyatt

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