In fact, perhapsaboutoneself was also humanmatter, Lu Zhouhas no wayto answerthisissuenow.
事实上,关于自己还是不是人类这件事情,陆舟现在自己恐怕也没法回答这个问题了。Althoughfrom the data on physical examinationlab test report, the strengthening of systemdoes not seem to manifest in the transformationtohisdna, butbyhispresentpower of thought that has exceededgeneralhuman to achieveobviouslyevenis the category of understanding.
虽然从体检化验单上的数据来看,系统的强化似乎并没有体现在对他dna的改造上,但以他现在的思维能力,显然已经超越了一般人类能够达到甚至是理解的范畴。Ifhe did not remember incorrectly, inhimjustadmittancePrinceton, isprobablysixyears ago time, ProfessorDelignehad invitedhim, joins to the researchto the standardsuspicion.
如果他没有记错的话,在他刚刚入学普林斯顿,也就是大概六年前的时候,德利涅教授就曾经邀请过他,加入到对标准猜想的研究中。Nowsixyearshas passed.
现在六年的时间已经过去了。
Obviously, thistopicuntil now, stillhad not presented any significantprogress.
很显然,这一课题直到现在为止,仍然没有出现什么重大的进展。Howevernow, solvingitactuallyseems like the breathto be equally simple.
然而现在,解决它却像是呼吸一样简单。Althoughthisinsidehasa large part ofreasonsisbecause the GUTtoprovethispropositionprovided the rationale, even if abandonstheseto be ablethrough the conclusion that the GUTdrawsdirectlynot to discuss,solvesso manyproblemsinshorta halfhour, was still a quiteterrifyingmatter.
虽然这里面有很大一部分的原因是因为大统一理论为证明这一命题提供了理论基础,但即便是抛开那些能够通过大统一理论直接得出的结论不谈,在短短的半小时内解决这么多问题,也是一件相当恐怖的事情了。Eveninheopinion is still so.
即便是在他自己看来也是如此。Deeplybreathedicy coldair, is cooledby the mood that ownchestmoves restlesslyslightly, Lu Zhoulooks atthatline in blank slate„the lefshetzstandardto suspect, establishment!” The inscriptionsilentfor a long time, saidslowly.
深深呼吸了一口冰凉的空气,让自己胸口躁动的情绪稍稍冷却了下来,陆舟望着白板上的那一行“lefshetz标准猜想,成立!”的字样沉默了许久,缓缓开口说道。„It is well known, the standardsuspected that canbe divided intotwoparts. The first halfisProfessorGrothendieckwhenstudyingWeilsuspects, topromotion that the hard-lefshetztheoremmakes, isourfamiliarlefshetzstandardsuspicion.”
“众所周知,标准猜想可以分为两个部分。前半部分是格罗滕迪克教授在研究韦伊猜想时,对hard-lefshetz定理做出的推广,也就是我们熟知的lefshetz标准猜想。”„Howeverlattern half, is the hodgestandardsuspicion.”
“而后半部分,则是hodge标准猜想。”
It seems likebecause any troublesomematterfell intointertwining, Lu Zhouis frowningto thinkfor a long time.
似乎是因为什么麻烦的事情而陷入了纠结,陆舟皱着眉头思索了许久。Understagecompletely silent.
台下鸦雀无声。Everyoneis waiting forhimto continue.
所有人都在等待着他继续下去。Inis hoping forinnumerablyundergaze that line of sight, thatwrinkle a browloosen, with the relaxedtone, Lu Zhoucontinuesto saysuddenly.
在无数期盼着的视线的注视下,那皱起的眉头忽然一松,用轻松的口吻,陆舟继续说道。„Ok.”
“算了。”„Althoughtodemonstrateapplication of GUTwhenresearchalgebraGeometryissue......”
“虽然只是为了演示大统一理论在研究代数几何问题时的应用……”„But since has written abouthere.”
“但既然都已经写到这里了。”„Solvedtogether.”
“还是一起解决掉好了。”Has not goneto lookface that behindthatZhang Zhenshakes, has not goneto listen tothatto resound throughcalling out in alarmandunbelievablediscussing spiritedly of conference site.
没有去看身后那一张张震撼的面孔,也没有去听那响彻会场的惊呼与难以置信的议论纷纷。AbandonedLu Zhou of these wordssuperficially, with the aweandfeeling, as well astranquilwaitmanycomplexmood, arrivedwas placedbeforenearbyblankblank slate, andstoppedto stay over the moment.
轻描淡写地扔下了这句话的陆舟,怀着敬畏、感慨、以及平静等等诸多复杂的情绪,走到了摆在旁边的空白白板前,并驻足停留了片刻。
The standardsuspicionis one of the algebraGeometryeducational worldmost profoundpropositions.
标准猜想是代数几何学界最深刻的命题之一。Itsprofoundnot onlylies in its complexbeauty, lies initsprofounddeductions.
它的深刻不仅仅在于它那复杂之美,更在于它那些深刻的推论。Directly, if the standardsuspicionestablishment, canpromoteWeilto suspectthroughitdirectly, andcanpromotefrobeniusinsmoothprojectionalgebraic manifold the function on cohomology groupsishalflist, even can also promotein the algebraic manifold the algebraclosed chain( algebrai
最直接的,如果标准猜想成立,通过它可以直接推出韦伊猜想,并且可以推出frobenius在光滑投影代数簇的上同调群上的作用是半单的,甚至还可以推出代数簇中代数闭链(algebraiyle) valueequal( numberial
yle)的数值等价(numberialequivalene) andcoherenceequal( hologial
equivalene)和同调等价(hologialequivalene) is the same equivalent relationwait.
equivalene)是同一个等价关系等等。Theseknown.
这些都是已知的。
The theory that waits forunearthing.
还有那些有待去挖掘的理论。Did not sayexaggeratingly,thissuspicionis directing the development of modernalgebraGeometrystudy.
毫不夸张的说,正是这一猜想指引着现代代数几何学的发展。However, tillhere, itshistorical mission should also end.
不过,到这里为止,它的历史使命也该结束了。Ashishandlifts, thatfell the peninblank slatemoves.
随着他的手抬起,那支落在白板上的笔动了。【When...... works asi ≤ n / 2, ona ^ i ( x ) nker ( l ^ ( n2i + 1 ) )quadraticx → ( 1 ) ^ il ^ ( i ) x.xisZhengding......】
【……当i≤n/2时,a^i(x)nker(l^(n2i+1))上的二次型x→(1)^il^(i)x.x是正定的……】Andxisonterritoryk the smoothprojectionalgebraic manifold, l is k the prime number of characteristicsrelative prime, h ^ i ( x , ql )isxistepl-adicohomology groups, xandprojectionspace happening together of planoidisxchildalgebraic manifolds.
其中x是域k上光滑投影代数簇,l是与k的特征互素的素数,h^i(x,ql)是x的i阶l-adi上同调群,x与投影空间的超平面的交集是x的子代数簇。Whenxisalgebraic surfaceor the duplicate/restoresalgebraic manifold, thissuspicionknown.
当x是代数曲面或复代数簇时,这个猜想是已知的。Butnowhemustprove is, in the generalsituation, itis also tenable!
而现在他要证明的便是,在一般情形下,它同样是成立的!Timeoneminuteonesecond of past.
时间一分一秒的过去。
The mathematical formula in blank slateare getting more and more.
白板上的算式越来越多。Sitsmanypeopleunderstage, absorbs the information the speed, evenstarts unable to keep up withhisblackboard writinggradually the speed.
坐在台下的许多人,摄取信息的速度,甚至渐渐地开始跟不上他板书的速度。Deeps frownandholds the both armsto sitPerelmanunderstage, suddenlysatstraight the body, looked straight ahead the pupil of blank slateto contract a pointinstantaneously.
眉头紧锁、抱着双臂坐在台下的佩雷尔曼,忽然坐直了身子,直视着白板的瞳孔瞬间收缩成了一个点。SitsSchultzinhissidenot far away, responded is almost same, evenexudedunbelievable the whoa.
坐在他旁边不远处的舒尔茨,反应几乎一样,甚至于发出了难以置信地惊叹声。„...... Obtains the topological message of completemanifoldcompactbusinessusing the l ^ 2cohomologymethod, will tighten the hodgetheory in manifoldto promoteto the completenon-tightmanifold!”
“……利用l^2上同调方法来得到完备流形紧致商的拓扑信息,将紧流形上的hodge理论推广到完备非紧流形!”„God...... he, hesimplyis a talent!”
“上帝……他,他简直是个天才!”ThiswasSirAttiapublishesin1976in that «MathYearly journal»onpublishedabout the separationgroupandin the paper of elliptic operatorresearch, nature that about l ^ 2cohomologytheorymentioned.
这是阿提亚爵士于1976年发表在《数学年刊》上发表的那篇关于离散群和椭圆算子研究的论文中,提到的一个关于l^2上同调理论的性质。Surprising, not only his ingenuity of idea, the one whomakesSchultzshocktruly is extremely, heregarding the utilization of thesemathematical instruments, looking like the breathis equally free.
令人惊讶的不只是他的构思之巧妙,真正让舒尔茨震惊万分的是,他对于这些数学工具的运用,就像是呼吸一样自如。Is similar, thesemathematical instruments, forhimfresh is the same.
就仿佛,那些数学工具,就是为他而生的一样。Looked atdumbfoundedSchultzoneeyes, Perelman who had not startedtalking, whisperedrarely.
看了目瞪口呆的舒尔茨一眼,一直都没有开口说话的佩雷尔曼,罕见地嘀咕了一句。„...... Thisobviousmatter, even ifyoudid not say that everyonestillknows.”
“……这种显而易见的事情,就算你不说大家也知道。”Nearbynot far away.
附近不远处。Twoold peoplesit there, is staring at the blank slatemotionlessly.
两位老人坐在那里,一动不动地凝视着白板。InLu Zhousucceedswill tighten the hodgetheory in manifoldto promoteto the instance of completenon-tightmanifold, ProfessorDelignebrokethissilenttacit understandingsuddenly, opens the mouthto say.
就在陆舟成功将紧流形上的hodge理论推广到完备非紧流形的瞬间,德利涅教授忽然打破了这份沉默的默契,开口道。„How do yousee?”
“你怎么看?”Sitsinhisside, Faltingshas not spoken.
坐在他的旁边,法尔廷斯没有说话。Crossing for probablya halfminutewas so long, heshakes the head.
过了大概半分钟那么久,他摇了摇头。„Iprobablyrequiretime...... perhaps, Iwas really old.”
“我可能需要一点时间……也许,我真的老了。”Deligneis silent, the looklookedcomplexto the stage, no longeropened the mouth.德利涅默然,神色复杂地看向了台上,不再开口。So manyyearsfriendship, hisfirsthearing, thisfellowacknowledgedoneselfwere old.
这么多年的交情,他还是第一次听到,这家伙承认自己老了。Althoughthisis the irrefragablefact, buthearsthisfellowto acknowledgethis pointpersonally, manymakeshimsomewhatdisconsolate......
虽然这是不可争辩的事实,但亲口听到这家伙承认这一点,多少还是让他有些惆怅……Similardialogue, inanother side of conference site , happening.
同样的对话,在会场的另一侧,也在发生着。
What askedwasVenerableQiuChengtong, the person of replywasProfessorTao.
只不过发问的是邱成桐老先生,回答的人则是陶教授。As the versatile person of the world of mathematics, heprobablyisin the entireconference sitebesidesLu Zhou, canonly in onblank slate the person of blackboard writingspeed.
作为数学领域的全才,他大概是整个会场里除了陆舟自己之外,唯一能够跟的上白板上板书速度的人。Althoughthisis not easy.
虽然这并不容易。Even ifhe, wantsto keep up withsuchrhythmcompletely, stillsuitablehas the challenge.
即便是他,想要完全跟上这样的节奏,也相当的具有挑战。„Histhoughtspeedwas too fast...... made an inappropriateanalogy, the average personsatperhapswhatpossiblywas the rocket...... Isitswas the Space-Xfalconbutessencerocket, had no essential difference from otherrockets. Butheis different, hehas satwas similarto the tunefastengineand so on thing. WhenIam still walkingalong a mentalityroutinelydownward, hehas hitto rebate the whole piecepaper, doesfrom the topic of proposition, direct transition the part of result.”
“他的思维速度太快了……做个不恰当的比喻,一般人坐的可能是火箭……也许我坐的是spae-x的猎鹰但本质都还是火箭,和其他火箭没什么本质的区别。但他不一样,他已经坐上了类似于曲速引擎之类的东西。当我还在按部就班地沿着一条思路往下走的时候,他已经将整张纸打了个对折,从命题的题干,直接跃迁到了结果的部分。”Because ofwifeinreason of nasawork, heusuallytoaerospacemany of mattercontact, although the specializationis possibly far, butto the model of rocketisclear.
因为妻子在nasa工作的缘故,他平时对航天方面的事情接触的不少,虽然专业性可能谈不上,但对火箭的型号还是清楚的。Regardingthisstrangeanalogy, VenerableQiuanythinghad not said that butmoved the line of sightsilenttothatalmostfilled upblank slate.
对于这个奇怪的比喻,邱老先生什么也没说,只是沉默地将视线挪向了那张几乎被填满的白板上。Crossedsome little time, heis pinching tightly the fist, sighed with emotion a sound saidgently.
过了好一会儿,他才捏紧着拳头,轻轻地感慨了一声道。„Doesattractively!”
“干得漂亮!”
......
……Without a doubt, thisis the Chinamathematics circlesin historymost magnificentinstantaneous.
毫无疑问,这是华国数学界有史以来最辉煌的瞬间了。No, accurate, not onlyChinamathematics circles.
不,准确的来说,不只是华国数学界。Even iftakes a broad view at the world, perhaps the recollectionhistory, could not find a more magnificenttime.
即便是放眼世界,回溯历史,恐怕也找不到更辉煌的时刻了。At this moment, hemounts, not only the god position of mathematicaltemple, is the humanmentalpeak.
这一刻,他登上的不只是数学神殿的神位,更是人类心智的巅峰。Standsbeforethisblank slate that is connecting the universe, the nationalityor the race, or the cultural background, as ifbecomespale, andlost the significance.
站在这面连接着宇宙的白板前,无论是国籍还是人种、亦或者文化背景,似乎都变得苍白且失去了意义。Standsin the altitude of speciesandcivilization, thisall was too tiny.
站在物种与文明的高度上,这所有的一切都太渺小了。As the lastpunctuationfalls.
随着最后一个标点落下。All the sounds of natureentirelystatic.
万籁俱静。In fact, beforetenlines, does not haveanysuspensefinally, butcanlook the person who is few.
事实上,早在十行之前,结果就已经没有了任何的悬念,只是能看出来的人寥寥无几。Took backfell the tipinblank slate, withdrewtwoLu Zhou, is looking at carefullyownachievement, looking like looking at carefully an artwareto be the same, lookingfor a long time was very very long.
收回了落在白板上的笔锋,退后两步的陆舟,端详着自己的成果,就像是在端详着一件艺术品一样,看了很久很久。Roughlytenminutespassed by, heturns around, to a silentconference site, saysslowly.
约莫十分钟过去了,他才转过身来,面向一片寂静的会场,缓缓地开口说道。„Above, thenproofaboutstandardsuspicion.”
“以上,便是关于标准猜想的证明。”
The soundreverberatesin the spaciousfacility.
声音在空旷的场馆内回荡。Stagenextcomplete silence.
台下一片鸦雀无声。No onespoke.
没有人说话。Alsodoes not have the applauseto resound.
亦没有掌声响起。
The frontaudienceor the delayor the dignifiedexpression, alreadytoldtheirmoods and conditionsat this momentcompletely. Everyonenotfromthat the duality in visualandmindshocksrecovers, naturally was also far fromwhatfeelingsold.
前排观众或呆滞或凝重的表情,已经将他们此时此刻的心情和状态诉说殆尽。所有人都没有从那视觉与心灵上的双重震撼中回过神来,自然也旧谈不上什么感想了。Has not stopped the toolongtime, Lu Zhouobserved the situation a silentconference site, with at a moderate pacetone , to continue to say.
没有停顿太久的时间,陆舟环视了一眼寂静的会场,用不紧不慢的语气,继续说道。„In fact, the GUTis the subject of thispublic lecture.”
“事实上,大统一理论才是这场报告会的主题。”„Proofaboutstandardsuspicion, butoffered a few ordinary introductory remarks so that others may offer their valuable ideas. Hopescanthroughmydemonstration, for the explorationto the beautifulthing, bringinspirations on someinspirationsfrom now on.”
“关于标准猜想的证明,只是抛砖引玉。希望能够通过我的展示,为诸位今后对美好事物的探索,带来一些灵感上的启发。”„Such aswewitnessat this momenttogether, ourtheoriesconfirmedagain, ouruniversesare perfect, itconforms to the aesthetic sense in math.”
“就如此刻我们共同见证的一样,我们的理论再一次验证了,我们的宇宙是完美的,它是符合数学上的美感的。”„Also do somepeople, whatquestionhave?”
“还有人,有什么疑问吗?”Understagesilentwas still continuing.
台下的沉默仍然在继续着。No onespokeas before.
依旧没有人说话。
A shoulderloosen.
肩膀一松。Felt likeput downthousandjin (0.5 kg)burden/shoulder pole, Lu Zhou that noexpressionhas fluctuated, on the faceshowed the benignsmiling facesuddenly.
感觉像是放下了千斤的担子,一直没什么表情起伏的陆舟,脸上忽然露出了和颜悦色的笑容。Thatsmiling facelikeearly Marchwind of spring, althoughnospecialtensity, actuallyinsufflated the heart of eachaudience, strokes the place, the deglaciationsnowhas melted, cloudopen/startsunrise.
那笑容就像三月初春的风,虽然没什么特别的张力,却吹进了每一位听众的心底,拂过之处,冰消雪融,云开日出。„Sinceif no, thatthispublic lecture, arrivedhereis good.”
“既然没有的话,那这场报告会,就到这里好了。”„ThesethreedaysIhere, iflaterhad the newquestion, cancome tohereto look forme.”
“这三天我都会在这里,如果之后产生了新的疑问,可以来这里找我。”„Thanks.”
“谢谢。”
The applausesuch as the torrential downpourresounds.
掌声如瓢泼大雨响起。Almostthrew off the ceiling of sports complexes.
几乎掀翻了体育场馆的天花板。ToofarplaceLu Zhoulooked that is not quite clear, the place that butcanseeonhim, thatin pairsoron the youngoroldface, wrote all overwithout any exceptionshockedcrazilywith.
太远的地方陆舟看不太清楚,但就他能看到的地方,那一双双或年轻或年迈的脸上,无一例外的写满了震撼与疯狂。The whole worldlooked like by on the spiral springis been again same, from the silence of silent, startedagaintick-tock the rotation.
整个世界就像是被重新上上了发条一样,从寂静无声的沉默,开始重新滴答转动。Stands the staffbylecture hall, thesesecurity personnel, threw the surpriseline of sightto the conference siteas if by prior agreement, toodid not understand that exactlyhadanything.
站在报告厅两侧的工作人员,还有那些安保人员,向会场内不约而同地投去了诧异的视线,不太理解到底是发生了什么。Theywill certainly not understand.
他们当然不会理解。Like the beauty of math, itselfwill not open wideheartsuchto everyone.
就像数学之美,本身就不会向每一个人都敞开心扉那样。Howeverregardingcanunderstand that itsperson, thisbeautifulactuallyshocks the mind, goes directly to the innermost soul.
然而对于能够理解它的人来说,这种美却是震撼心灵,直达灵魂深处的。Althoughdoes not have anysound, butitactuallylike a song.
虽然没有任何的声音,但它却像一首歌一样。Is bathingapplause that resounds through the conference site, Lu Zhouthat in handsymbolpen that is doomedto become the historical relics, putgentlyon the platform, retrocededhalfto bowslightly, turns aroundto move towardunder the stage.
沐浴着响彻会场的掌声,陆舟将手中的那支注定成为历史文物的记号笔,轻轻地搁在了讲台上,后退半步微微鞠躬,转身走向了台下。
The time that the standardsuspectshas ended.
标准猜想的时代已经落幕。Takesat this momentas the watershed.
以这一刻为分水岭。In the future every minute, belongs to the newworld!
往后的每一分钟,都属于新世界!
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