Has askedopinion of the partners, paperaboutbeilinson-blohsuspicionproof, Lu Zhoupublicationas alwaysin«FutureMath»on.
已经询问过了合作伙伴们的意见,关于beilinson-bloh猜想证明的论文,陆舟一如既往的刊登在了《未来数学》上。While the paperenters the editflow, the relatedpre-printed bookalsohungonarxiv.
而在论文进入审稿流程的同时,相关的预印本也挂在了arxiv上。Althoughbeilinson-blohsuspected that does not look like the Riemann hypothesisor the Goldbach's conjecturebecomes famouslike that the special significance that butitscanrelates the elliptic curveEhigh rankk-groupandnumber fieldF and elliptic curveEalgebra and analytic invariant, actuallygaveunusual the positionin the algebraGeometrystudy and theory of numbersdomain.
虽然beilinson-bloh猜想并非像黎曼猜想或者哥德巴赫猜想那般出名,但其能够把椭圆曲线e的高阶k-群与数域f及椭圆曲线e的代数、解析不变量联系起来的特殊意义,却赋予了在代数几何学与数论领域中非同寻常的地位。But the algebraGeometrystudytakes the present agepure mathematicsarea researchpopulationmost, the influencebiggestbranch, after thispre-printed bookonewas hung, immediatelyarouses the interest of suitablerange.
而代数几何学作为当代纯粹数学领域研究人数最多、影响力最大的分支,这篇预印本一被挂出之后立刻引起了相当范围的关注。Not onlybecause of the beilinson-blohsuspicion.
不只是因为beilinson-bloh猜想本身。Isbecause, solvesthisproblem, at this year'sInternational Mathematics Congressannounced that provesProfessor who Riemann hypothesisland......
更是因为,解决这个问题的,正是在今年的国际数学家大会上宣布证明黎曼猜想的陆教授……Institute for Advanced Study.
普林斯顿高等研究院。
A cafe in building.
一楼的咖啡厅。Sits the positionnearby the window, drinksWeiteng of coffeeto pinch a printingto chatbyProfessorDeligne of stationerywith the hand.
坐在靠窗边的位置,喝着咖啡的威腾正与手中捏着一本打印论文纸的德利涅教授闲聊。„Lunar surfacehadron colliderhas been completed, it is said in Decemberwill start the firstexperiment, it is estimated when the time comesIonewent far from home.”
“月面强子对撞机已经竣工了,据说十二月份就会开始第一次试验,估计到时候我又得久违的出一趟远门了。”Delignedid not care that spoke thoughtlesslyto ask: „, It seems likeyourtheoryhopefulconfirmation?”德利涅不怎么关心地随口问道:“哦,看来你的理论有希望验证了?”Hearsthese words, sippedWeiteng of coffee, shakes the headwith a smile.
听到这句话,抿了一口咖啡的威腾,笑着摇了摇头。„Was too remote, butregardingstandard model, this actuallygospel. Wecanmore profoundrevealed the microcosm...... to saywith the piece of universesecret that weplaced,whatyouare looking at?”
“太遥远了,不过对于标准模型来说,这倒是一个福音。我们可以更深刻的揭示微观世界与我们身处的这片宇宙的秘密……说起来,你在看什么?”NoticedWeitenginownhandpaperto the curiousline of sight that threw, Delignepushedunder the eyeglasses on bridge of the nose, usuallyhas had no corners of the mouth of surging up, suddenlybrought back a smiling facerarely.
注意到了威腾向自己手中论文投来的好奇视线,德利涅推了下鼻梁上的眼镜,平时一直没有任何波澜起伏的嘴角,忽然罕见地勾起了一丝笑容。„The proofaboutbeilinson-blohsuspicion...... looked liketheirresearchto have the progress.”
“关于beilinson-bloh猜想的证明……看来他们的研究有进展了。”Weiteng: „Whosewhat do yourefer tostudying?”
威腾:“你指的是谁的什么研究?”„Lu Zhou, as well asgrand unification of hisalgebraandGeometry.”
“陆舟,以及他的代数与几何的大统一。”Heardthisastonishingproposition, Weitengteachesgawkedslightly, separatedsaidsome little time.
听到这个惊人的命题,威腾教授微微愣了一下,隔了好一会儿才说道。„When was thistooalso exaggerating...... he from startto studythistopic?”
“这也太夸张了……他从什么时候开始研究这个课题的?”AsPhysics who obtainsFieldsto reward, perhapshe must be clear aboutthistopiccompared withmanymathematicians, ifcompletes, meansanything.
身为一名获得过菲尔茨奖的物理学家,他恐怕比不少数学家还要清楚这个课题如果完成,将意味着什么。
The oldmethodwill be unified.
旧的方法将被统一。
When likeanalyzingGeometrywas just inventedsuch, peoplefor the first timethrough the Cartesian coordinate the Geometryissue and algebraissueunion, ledthe 16 th centuryastronomy, Physics, navigationandsoaring of projectwaita series ofscienceandtechnologydirectly.
就像解析几何刚刚被发明时的那样,人们首次通过笛卡尔坐标将几何问题与代数问题结合,直接引领了十六世纪天文学、物理学、航海、工程等等一系列科学与技术的腾飞。Butmath, from thissincenewtime.
而数学,也将由此进入新的时代。„After solving the Riemann hypothesis, butalsoperhapsbeforestudying the Riemann hypothesishestartedto ponderthisissue......”
“解决了黎曼猜想之后,但也没准在研究黎曼猜想之前他就开始思考这个问题了……”Turnedonepage the paper in hand, ProfessorDelignecontinues saying that „not onlyactuallyhe, includingmeandmyteacher, anywill have the person of achievementsto ponder that in the algebraGeometrydomainthisissue, will haveonetypegracefully, andwill have the mathematicalway of aesthetic sense, cantransforms the algebraissue and Geometryissuemutually. Ifthiscansucceed, even if showedmerelythisroadiswalkspasses, wecanbenefit greatly......”
将手中的论文翻了一页,德利涅教授继续说道,“其实不只是他,包括我和我的导师,任何在代数几何领域有所建树的人都会思考这个问题,是否存在一种优雅且极具美感的数学方式,能够将代数问题与几何问题互相转化。如果这能成功,哪怕仅仅是证明这条路是走得通的,我们都能够从中受益匪浅……”Silentsome little time, Weitengteachessighsgently, withteasing the tonesaid.
沉默了好一会儿,威腾教授轻轻叹了口气,用调侃的语气说道。„It seems likeIcould not have kept up withthistimequickly.”
“看来我已经快跟不上这个时代了。”Deligne: „There is nothing, butyouhave not paid attention tothisdirection. When Iam hearinghimstartsto studythistopic is very surprisedat first, particularlynow, hehas madesomegradualachievementsunexpectedly, evenFaltingsthatold fogyfromGermanydeceiving. In my mind, after 2000, hethenrarelyleft the MPIlearnedto go tootherplacesto be the visiting scholar.”德利涅:“这并没有什么,只是你没有关注这个方向而已。我在最初听到他开始研究这个课题时也很惊讶,尤其是现在,他居然已经做出了一些阶段性的成果,甚至将法尔廷斯那个老家伙从德国给骗了过去。在我印象中,两千年之后,他便很少离开马普学会去其他地方做访问学者了。”Did not care that very muchFaltingsthatold fogy, Weitenglooksheaskedoneselfmostissue of concernearnestly.
并不是很关心法尔廷斯那个老家伙,威腾看着他认真问出了自己最关心的问题。„Youthought that hecansucceed?”
“你觉得他能成功吗?”„Personal view, is only the timeissue,” the skinnyindex fingerpushedunder the eyeglasses on bridge of the nose, Delignethought deeply abouta while saying that „perhapshad the problem of empiricism, butIalwaysfelt that inthisworldshouldnot have the issue that hecould not solve.”
“个人观点,只是时间问题,”枯瘦的食指推了下鼻梁上的眼镜,德利涅思索了一会儿说道,“也许是犯了经验主义的毛病,但我总感觉这个世界上应该没有他解决不了的问题。”Seeming likethought that thisviewis not very accurate, after a whilelater, hesupplementedsaid.
似乎是觉得这个说法不够准确,过了一会儿之后,他又补充了一句说道。„Ifthisissuetrulyisthistime, andthere is a solution.”
“如果这个问题确实属于这个时代,且有解的话。”„It seems likeyouare very hightohisappraisal,”Weitengsmiles saying that „thatwas inferiorwemake a bet, youthought that hewill solvethisproblembefore the firstexperiment of lunar surfacehadron collider, will beafter the firstexperiment.”
“看来你对他的评价很高,”威腾笑了笑说道,“那不如咱们来打个赌吧,你觉得他解决这个问题会在月面强子对撞机的第一次实验之前,还是在第一次实验之后。”Heardthese words, Delignegawkedslightly, seemed likehas not thought that the old friendwill ask such strangequestion.
听到这句话,德利涅微微愣了下,似乎是没想到老朋友会问出这么奇怪的问题。
The expressionseems likesomebeing hardchoices, heis frowningto think deeply abouta while, butquickis wrinklingtightlybrowthenstretch/leisurelylaunched.
表情像是有些难以取舍,他皱着眉头思索了一会儿,不过很快紧皱着的眉头便舒展开了。„......, if the firstexperiment in December, I feels supposedinlater.”
“……如果第一次实验是在12月的话,我觉得应该是在之后。”Howafter all to sayagain, is only also left overfromDecemberis less thantwomonths.
毕竟再怎么说,距离12月也只剩下不到两个月的时间了。Even iftheyhave made the significantprogress, wantsto solvethisproblemin two months, still was really difficult.
即便他们已经取得了重大的进展,想要在两个月之内解决这个问题,也实在是太困难了点。Weiteng: „Ibetam before then good.”
威腾:“那我就赌在此之前好了。”
The eyebrow of ProfessorDeligneliftedlifting.德利涅教授的眉毛抬了抬。„Did youdetermine?”
“你确定?”Weitengteachessaidwith a smile, „whycan't? Ialwaysthought that hewill bring a pleasant surprisetous.”
威腾教授笑着说道,“为什么不能?我总觉得他会给我们带来一个惊喜。”If the GUT of algebraandGeometrycanbe completed, not onlyregarding the math, will also be hugeregarding the influence of physics.
如果代数与几何的大统一理论能够完成的话,不只是对于数学,对于物理的影响也将是巨大的。
The coherence physicshigh-energy physics, the unification of number and shapeinabstractsignificance, will helpPhysicsrevealmanyoriginallytheirunreadablethings.
无论是凝聚态物理还是高能物理,数和形在抽象意义上的统一,将帮助物理学家们揭示许多原本他们难以理解的东西。Can the birthnewphysicsnot say, butcertainlybirthnewmethod.
能不能诞生新的物理不好说,但一定会诞生新的方法。Butthesenewmethods, canbe usedto solvethesethemnot to be solved, „old”issue.
而这些新的方法,可以被用来解决那些原本他们解决不了的,“旧”的问题。Delignesmilesregardless the corners of the mouthrarely, withteasing the toneasked.德利涅罕见地撇开嘴角笑了笑,用调侃地口吻问道。„Youthought that wellwhatbets?”
“那你觉得赌点什么好呢?”„Iremember that the draft manuscript of Lu Zhougraduation thesisyourhere, thataboutGoldbach's conjecture,”Weitengteachesto smileis continue say, „when previoustimeIgoes toFirestone Libraryto borrowhimabout the draft manuscript of 750 gevenergy regionresearch, temporarilyemergesflipshispastresearch results, howeverhad not foundthataboutGoldbach Lutheoremonly, wantsto come should inyourhere.”
“我记得陆舟毕业论文的手稿在你这里,关于哥德巴赫猜想的那篇,”威腾教授笑笑着继续说道,“上次我去燧石图书馆借阅他关于750gev能区研究的手稿时,临时兴起翻了翻他过去的研究成果,然而唯独没有找到关于哥德巴赫-陆定理的那篇,想来应该是在你这儿了。”
The expression on faceis somewhat subtle, Delignecoughed, saidunemotionally.
脸上的表情有些微妙,德利涅干咳了一声,面无表情地说道。„Entered the coffinalsoto never forgetto my collectionquickly...... thatrelative, did youplanto be usedto take the gambling stake?”
“都快进棺材了还对我那点收藏品念念不忘……那么相对的,你打算用什么来作为赌注呢?”Weiteng: „Draft manuscriptaboutmtheoryhow?”
威腾:“关于m理论的手稿如何?”Slantinghiseyes, ProfessorDelignesaidunrestrained/no trace of politeness: „Withthattypedoes not know that whichdaywill be shownis the wrongthingtakes the gambling stake, do youfeel all right?”
斜了他一眼,德利涅教授毫不客气地说道:“用那种不知道哪天就会被证明是错的的东西作为赌注,你好意思吗?”„Butit may also be the ultimatetheory of explanationuniverseroot......”
“但它也有可能是解释宇宙根源的终极理论……”Looks the appearance that ProfessorDeligneis without turning a hair, Weitengsighed, on the facemade a helplessexpression, eventuallygave uparguing.
看着德利涅教授面不改色的样子,威腾叹了口气,脸上做了个无奈的表情,最终还是放弃了争辩。„Good, thattradedone...... a while agoI, whenreorganizationroom, before turningbiggroup of me , when studied the analysis situsnote that took, insidewill havesomemeto reorganizeprobablywithout enough time, but very usefulthing, hadtenquantumstudyphysics is so thickin briefprobably.”
“好吧,那换一个……前段时间我在整理屋子的时候,翻出来了一大堆我以前研究拓扑学时做的笔记,里面大概会有一些我来不及整理,但很有用的东西,总之大概有十本量子学物理那么厚。”
The analysis situsprobablywas the domain that Weitengmostexcelled.
拓扑学大概是威腾最擅长的领域了。Hecanobtain1990 the Nobel prize, a verybigreason is becauseitresearchto the lower-dimensional topologystructure, andinferred the quantum invariantfrom this.
他之所以能够获得1990年的诺贝尔奖,其中一个很大的原因便是因为其对低维拓扑结构的研究,并由此推导出了量子不变量。SirAttiaonceappraisedhim the attainmentsinmathalready the scholar who surpassed many have been engaged inthis/shouldarea researchtruly, buthisremarkablephysicalknowledgeprovided the richinspiration and intuitionsourcefor the research of math. Even a viewis, SirAttiastartsto studyPhysicsin the old agesuddenly, to a great extentthenbecause ofWeiteng.
阿提亚爵士曾经评价他在数学上的造诣已经超过了许多真正从事该领域研究的学者,而他卓越的物理知识为数学的研究提供了丰富灵感和直觉源头。甚至于有一种说法是,阿提亚爵士之所以在晚年忽然开始研究物理学,很大程度上便是因为威腾。No matterdraft manuscripts of theseanalysis situsresearchwhetherhas the significance of collection, itsacademiconvalueiswithout a doubt.
不管这些拓扑学研究的手稿是否具备收藏的意义,其学术上的价值是毫无疑问的。Alsotherefore, ProfessorDelignehesitated for severalseconds, thenextended the right handwithout delay.
也正是因此,德利涅教授只是犹豫了几秒钟,便二话不说地伸出了右手。„Deal!”
“成交!”
……
……
( Recommendsmetropolisgoodbook«PerfectBigGood man», looked , the whole personwas full ofpositive synergyfrom top to bottom, legis not sore, waistis not sour, grandmasdareto hold.)
(推荐一本都市好书《完美大善人》,看完之后整个人浑身上下充满了正能量,腿不疼了,腰不酸了,老奶奶都敢扶了。)Lamppen
灯笔
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