In the early 20 th century, Hilbert that about the speech that the century asked that welcomed a new hundred years of journey for the Riemann hypothesis. 二十世纪初,希尔伯特的那场关于世纪之问的演讲,为黎曼猜想迎来了一段新的百年征程。 But mathematical this beyond boat far away from mortal field of vision, under the 20 th century time great curtain that also therefore changes constantly in this, left behind a mammoth legend. 而数学这艘远离凡人视野之外的小船,也因此在这风云变幻的二十世纪时代巨幕之下,留下了一段波澜壮阔的传奇。 At this moment, this hundred years of journey about human mental glory came to the end point finally. 此刻,这场关于人类心智荣耀的百年征程终于走到了终点。 Under almost vision the attention of entire world, the public lecture that this reply century asked that finally opened...... 在几乎来自全世界的目光的关注之下,这场回答世纪之问的报告会,终于拉开了帷幕…… Public lecture, is bustling and filled with people. 报告会的现场,人头攒动。 Even the Kuririn Hotel biggest lecture hall, is unable by the people in attendance who the normal posture holds all appearances, as well as these have no fear of great distances people who rush. 就算是克林希亚酒店最大的报告厅,也无法以正常的姿势容纳所有到场的与会者,以及那些不远万里赶到的人们。 Some people moved in the stool from other places, some people sit simply, but also some people even sat in the suitcase...... 有的人从其他地方搬来了凳子,有的人干脆席地而坐,还有的人甚至坐在了行李箱上…… Carries the reporter of camera in the final platoon of conference site, only then 2-3 cameras are placed there. 扛着摄像机的记者站在会场的最后排,只有2-3架摄像头摆在那里。 For does not disturb this public lecture conducts, the imu congress organizing committee only gave the limited media to provide the admission qualifications. Also therefore, stands in this lecture hall at this moment also only then bb, tv and Colombia TV Station these globally have certain influence media. 为了不干扰这场报告会的进行,imu大会组织委员会只给有限的媒体发放了入场资格。也正是因此,此刻站在这座报告厅里的也只有bb、tv、哥伦比亚电视台这些在全球范围内都具备一定影响力的媒体。 The noisy sound is flooding the entire conference site, almost must throw off the ceiling. 嘈杂的声音充斥着整个会场,几乎要将天花板掀翻。 Almost all people were discussing forthcoming public lecture, with Lu Zhou yesterday in the paper that on arxiv hung. 几乎所有人都在议论着即将进行的报告会,和陆舟昨天在arxiv上挂出的论文。 But at this moment, not far away transmitted an opening the door light sound. 而就在这时,不远处传来了一声开门的轻响。 Opened close to that leafed door of conference site platform, everyone strange form, the step will not walk from the lecture hall together steadily. 靠近会场讲台的那扇门打开了,一道所有人都不会陌生的身影,步履平稳地从报告厅外走了进来。 Like was sealed the mouth, the entire conference site was peaceful in a twinkling. 如同被封上了嘴巴一样,整个会场霎时间安静了下来。 A both blazing vision focuses in that person as if by prior agreement. 一双双炽热的目光不约而同地在那人身上聚焦。 Everyone is waiting for his opens the mouth, leading him to announce the start of conference...... 所有人都在等待着他的开口,带他宣布会议的开始…… Observed the situation audience under stage, stands Lu Zhou on stage opens mouth, however when he is preparing to start this 60 minutes of public lectures, one under stage both writes all over the anticipation and puzzled line of sight, suddenly made him change the mind, displaced to open the mouth to say. 环视了一眼台下的听众们,站在台上的陆舟张了张嘴,然而就在他正准备开始这场六十分钟的报告会的时候,台下的一双双写满期待与困惑的视线,忽然又让他改变了主意,取而代之开口道。 „...... I know that some of your probably many issues want to ask, including the Riemann hypothesis, including our future. I just passed through the gate time notices, sits in my dear friend of front half. The stock has left the chair...... I to guess that he definitely has many issues to ask me, and is impatient.” “……我知道你们大概有很多问题想问,包括黎曼猜想,包括我们所有人的未来。以至于我刚进门的时候就注意到,坐在前排的这位仁兄半个屁.股都已经离开了椅子……我猜他肯定有很多问题想问我,并且早就已经迫不及待了。” Under the stage exuded the intermittent well-meaning laughter, the dignified air also relaxed some. 台下发出了阵阵善意的笑声,原本凝重的空气也随之缓和了些许。 Looks the young scholar who that embarrassed blushing sits, Lu Zhou stopped the moment, says with the tone with ease. 看着那个不好意思的红着脸坐回去的年轻学者,陆舟停顿了片刻,用轻松地口吻开口说道。 „According to the convention, I should end the idle talk now, started this 60 minutes to report, but in view of the fact that the situation was special, I planned before the public lecture started kept five minutes, first answered the issues of some audience, making part of audience be able the attention placed on public lecture it with emphasis. If there is any issue you to want before this public lecture starts knows that can raise hand.” “按照惯例,现在我应该结束废话,开始这场六十分钟报告了,但鉴于情况特殊,我打算在报告会开始之前留出五分钟的时间,先回答一部分听众的问题,让这一部分听众能够将关注的重点更多放在报告会本身上。如果有什么问题你们是想在这场报告会开始之前知道的,可以举手了。” These words have almost not said, hands then lifted instantaneously. 这句话几乎还没有说完,一只只手便瞬间举了起来。 Lu Zhou observed the situation conference site front, selected a person casually. 陆舟环视了会场前排一圈,随便点了一个人。 By that Lu Zhou selects Indian little elder brother who sits in the front, stood quickly. 被陆舟选中的那个坐在前排的印度小哥,很快站了起来。 This wears the eyeglasses, roughly 30 years old, the scholar of hair curl, despises the below downstream artificial intelligence domain of chain from the mathematician, he came up then to raise an acute issue. 这位戴着眼镜、约莫三十来岁,头发卷曲的学者,来自数学家鄙视链的下下游人工智能领域,他一上来便抛出了一个尖锐的问题。 „Was the Riemann hypothesis proven?” “请问黎曼猜想被证明了吗？” The audience surpassed half of audience to raise up the ear. 全场超过一半的听众都竖起了耳朵。 Regarding scholar who these are not engaged in the analytic theory of numbers direction performing skill, although they cared similarly Lu Zhou with the Riemann hypothesis of what method proof, what kind of influence as well as this mathematics method can other divisions/disciplines, Riemann hypothesis this proposition that but they care about in comparison, actually whether to be proven. 对于那些并不是从事解析数论方向演技的学者来说,虽然他们同样关心陆舟是用什么方法证明的黎曼猜想,以及这一套数学方法能对其他学科造成怎样的影响,但相比之下他们更关心的还是黎曼猜想这个命题本身,究竟是否被证明了。 But even if, was made to declare by the affirmative tone. 哪怕,只是被肯定的语气做出宣称。 Is responding to audience all the vision of anticipation, Lu Zhou selected under. 回应着全场所有期待的目光,陆舟点了下头。 „Yes, I can say very much responsibly, from now on, you, even if regards the theorem to use it not to relate.” “是的,我可以很负责的说,从现在开始,你就算是把它当成定理来用也没关系。” Under the stage spread the sound of talking in whispers. 台下传开了窃窃私语的声音。 On the faces of many wrote all over the unexpected expression. 不少人的脸上都写满了意外的表情。 Generally speaking, more famous scholar, then more treasures own feather. Only if that type has released for flight thoroughly the self- person, if not for otherwise over ten tenths assurances, few people will use the so affirmative tone, declared oneself proved some significant mathematical proposition. 一般来说,越是有名气的学者,便越是爱惜自己的羽毛。除非是那种已经彻底放飞自我的人,否则若不是有十成以上的把握,很少有人会用如此肯定的语气,宣称自己证明了某个重大的数学命题。 After all, if succeeded said fortunately, if were defeated, was not „made a mistake embarrassed” can easily uncover the matter. 毕竟,如果成功了到还好说,若是失败了,可不是一句“不好意思搞错了”就能轻易揭过的事情。 Once declared oneself proved Sir of Riemann hypothesis Attia resisted the manuscript in the old age bitter experience repeatedly, very big degree was why because when him „good matter”, often not to have declared in the past ten years quite baffling oneself proved anything actually could not give the explanation, even in he declared that proved Riemann hypothesis, arxiv rejected his manuscript, he has to publish oneself research results tries to find another way. ( 1 ) 曾经宣称自己证明了黎曼猜想的阿提亚爵士之所以在晚年频频遭遇拒稿,很大程度便是因为在他过去的十年里都没干什么“好事儿”,经常没头没尾地宣称自己证明了什么却又给不出解释,甚至于在他宣称证明了黎曼猜想时,就连arxiv都拒绝了他的稿件,以至于他不得不为了发表自己的研究成果而另想办法。(注1) Like a room for manoeuvre not to the approach that oneself keep, let many people really and gives by his courage to self-confidently surprisedly. 像这样一点回旋余地都不给自己留的做法,着实让不少人都被他的勇气和自信给惊讶到了。 Got the answer of wish, that Indian little elder brother sat, what stands up is a math professor from Columbia University. 得到了想要的答案,那位印度小哥坐了回去,紧接着站起身来的是一名来自哥伦比亚大学的数学教授。 „After solving the Riemann hypothesis ? Analytic theory of numbers division/discipline what course to follow? My meaning was...... entire in the 20 th century, we innumerable breakthrough results that the theory of numbers domain including Fermat big theorem obtained, more or less in the exploration or the indirect exploration to the Riemann hypothesis obtained. But now under this meeting gold/metal egg the hen does not only have now, how the future road should we go?” “解决了黎曼猜想之后呢？解析数论这门学科又将何去何从？我的意思是……整个二十世纪,我们在数论领域取得的包括费马大定理在内的无数突破性成果,或多或少都是在对黎曼猜想的探索或者间接探索中得到的。而现在这只会下金蛋的母鸡现在已经没了,未来的路我们又该如何去走？” Before comparing at first, that with the issue that or not can answer, this issue asked without doubt had the level slightly. 相比起先前那个用是与否就能回答的问题,这个问题问的无疑稍微更有水平些。 Lu Zhou thought for probably five seconds, says. 陆舟思索了大概五秒钟的时间,开口说道。 „Your issue I can reply you, but I want to place final of entire public lecture the answer.” “你的问题我可以回答你,但我想将答案放在整场报告会的最后。” Looked at wall clock on a wall, Lu Zhou cleared throat , to continue to say. 看了一眼墙上的挂钟,陆舟清了清嗓子,继续说道。 „Time is up, troubles these is still raising the hand first to put down for the time being.” “时间已经差不多了,麻烦那些还在举着的手暂且先放下吧。” „In final of this public lecture, I will leave enough time, replies your issues.” “在这场报告会的最后,我会留出充足的时间,来回答你们所有人的问题。” „Now, allowed us to enter the subject to be good.” “现在,还是让我们进入正题好了。” The innumerable field public lecture is the same like had completed, turns around to arrive at Lu Zhou before blank slate, picked up placed the blank slate following symbol pen. 就如同曾经完成过的无数场报告会一样,转身走到白板前的陆舟,拾起了放在白板下面的记号笔。 Then, he wrote down the first line of writing above 然后,他在上面写下了第一行文字 【Card: All non- ordinary zero points of Riemann Zeta function are located in the complex planes the re (s ) = 1 / 2 straight line......】 【证:黎曼ζ函数的所有非平凡零点都位于复平面上re(s)=1/2的直线……】 Not special prologue. 没有特别的开场白。 However everyone very tacitly line of sight centralized in blank slate. 然而所有人都很默契地将视线集中在了白板上。 About report of Riemann hypothesis proof...... 关于黎曼猜想证明的报告…… Has started! 已经开始了！ Under stage. 台下。 The flashing eyes are staring at seal's that line of writing in blank slate, sits in Fefferman Professor nearby Terence Tao, suddenly with having an exciting tone is saying. 目光炯炯地盯着印在白板上的那一行文字,坐在费弗曼教授旁边的陶哲轩,忽然用带着一丝兴奋的语气开口说道。 „He really adjusted the content of public lecture!” “他果然调整了报告会的内容！” „Isn't this inevitable matter?” Professor Fefferman the expression looked at his one eyes strangely, „the present entire mathematics circles is caring about this matter, even if he wants to pretend nothing happened, is still impossible.” “这不是必然的事情吗？”费弗曼教授表情奇怪地看了他一眼,“现在整个数学界都在关心着这件事,就算他想装作什么都没有发生,也是不可能的吧。” Terence Tao expression exciting continuation said: „No, before several minutes I am indefinite he to be earnest, but looks like my suspicion to be unnecessary now.” 陶哲轩表情兴奋的继续说:“不,直到几分钟之前我还不确定他是不是认真的,但现在看来我的怀疑是多余的。” Professor Fefferman opens mouth, made a helpless expression, said. 费弗曼教授张了张嘴,做了个无奈的表情,说道。 „......, if you think, that is truly unnecessary. On me to his understanding, he never will at least crack a joke at this matter randomly.” “……如果你是这么想的话,那确实是多余的。至少就我对他的了解,他从来不会在这种事情上乱开玩笑。” When two people are speaking, stands Lu Zhou on stage, the movement not slight stop, fast, less than a half minute that the brushwork in hand moves, has delimited 45 lines. 就在两人正说话的时候,站在台上的陆舟,动作没有丝毫的停顿,手中的笔触动的飞快,不到半分钟的时间,已经刷刷地划过了四五行。 【Zeta (s ) = 2 Γ ( 1-s)( 2 π) s-1 sin( πs / 2) Zeta ( 1-s )......】 【ζ(s)=2Γ(1-s)(2π)s-1sin(πs/二)ζ(1-s)……】 【......】 【……】 After treading first step, quick was the second step. 踏出了第一步之后,很快便是第二步。 With writing down of all various professions mathematical formula, the mathematical formula in blank slate are getting more and more, difficulty also gradually from straightforward, became obscure complex. 随着一行行算式的写下,白板上的算式越来越多,难度也渐渐地从浅显易懂,变得晦涩复杂了起来。 Sits under the stage the position near the top, looks up the brushwork that in the blank slate that passing clouds and flowing water are waving, Academician king, sits in nearby Zhang Wei, slow Chenyang, Yang Yongan these young scholars, on the face wrote all over the look of shock. 坐在台下靠前的位置,抬头望着白板上那行云流水般舞动的笔触,无论是王院士,还是坐在旁边的张玮、徐晨阳、杨永安这些青年学者,脸上都写满了震撼的神色。 Was arrived by this series of exquisite peerless operations shockingly, Yang Yongan could not bear finally, blurted out that acclaimed one. 被这一系列精妙绝伦的操作给惊艳到了,杨永安终于还是没忍住,脱口而出地赞叹了一声。 „...... Quite quick!” “……好快！” Sits in his nearby Zhang Wei, is a face complex sighed with emotion one. 坐在他旁边的张玮,也是一脸复杂的感慨了一声。 „It seems like he really planned to speak in 60 minutes the content of entire chapter paper.” “看来他是真的打算在60分钟之内将整篇论文的内容都讲完了。” In fact, before this public lecture, he prepared this 60 minutes of public lecture possibly lengthened. 事实上,在这场报告会之前,他是做好了这场60分钟报告会可能会被延长的准备的。 After all on that content that hangs the paper on arxiv, how does not seem like can speak the clear appearance in 60 minutes completely, complex in-depth logic, even if voucher reviews, must spend a time. 毕竟就那篇挂在arxiv上的论文的内容来看,怎么都不像是能够在60分钟内全部讲清楚的样子,其中许多复杂的深层逻辑,哪怕是证明者自己回顾一遍,恐怕都得花一番功夫。 However now looks like, he wants actually. 不过现在看来,倒是他想多了。 Keeps such speed saying that perhaps is so long with less than 60 minutes, 40-50 minutes of enough this big god uses...... 保持这样的速度讲下去,恐怕都用不到六十分钟那么长,40-50分钟的时间就够这位大神用的了…… slow Chenyang expression said complex: „Inconceivable...... this speed, is he does not need to ponder completely?” 徐晨阳表情复杂地说道:“不可思议……这速度,他是完全不需要思考吗？” If writes according to the paper, but in his hand is only grasping a pen. 如果是照着论文写也就罢了,但偏偏他手中只握着一支笔。 What is most incredible, even is only writes, in some crucial steps, he will also be joined to a brief explanation, explained why oneself will write down this step, but these step for which setting the foreshadowing. 最令人难以置信的是,甚至光是写也就罢了,在一些关键性的步骤上,他还会配上一段简短的讲解,解释自己为什么会写下这一步,而这一步又是为哪一步埋下的伏笔。 This feeling seems like...... 这种感觉就好像…… The entire proof process had been carved by him in the brain was the same, moreover understands clearly in heart that completely. 整个证明过程已经被他刻在脑子里了一样,而且还是完全了然于心的那种。 Zhang Wei hesitated a while, says: „Perhaps, all steps had borne in mind by him.” 张玮沉吟了一会儿,开口说道:“也许,所有的步骤都已经被他记在心里了。” Yang Yongan expression looks moving to him. 杨永安表情动容地看向他。 „That...... that was also too exaggerating.” “那……那也太夸张了吧。” At this time, sat Qin Yue who had not opened the mouth in side, suddenly interrupted to say. 就在这个时候,坐在旁边一直没有开口的秦岳,忽然插嘴说道。 „This is not exaggerating regarding the professor.” “对于教授来说这并不夸张。” Hears this sudden sound, Yang Yongan, Zhang Wei or slow Chenyang, or maintain composure to sit Academician king there, threw the accidental/surprised line of sight to Qin Yue in abundance. 听到这突如其来的声音,无论是杨永安、张玮还是徐晨阳,亦或者不动声色坐在那里的王院士,都纷纷向秦岳那边投去了意外的视线。 Noticed these to look to own vision, Qin Yue stopped the moment, continued to say. 注意到了那些看向自己的目光,秦岳停顿了片刻,继续说道。 „By me the understanding of the professor, these things he will not deliberately record.” “以我对教授的了解,这些东西他根本不会刻意去记。” Academician king Shicheng frowns saying: „Really is that also the scene pushes?” 王诗成院士皱了下眉头说:“那难道还真是现场推一遍？” „Perhaps yes,” Qin Yue nods , to continue saying that „to him, the issue solves one time has solved again, itself is the matter that can be regarded as whiles away the time.” “恐怕是的,”秦岳点了点头,继续说道,“对于他而言,将一个解决过的问题再解决一次,本身便是一件可以当做是消遣的事情。” Ok...... 可以的…… Will have solved the issue solves one to treat as to while away the time again...... 将解决过的问题再解决一遍当做消遣…… No wonder this fellow to this degree. 难怪这家伙强到了这种程度。 No matter and after Qin Yue said these words, Academician king Shicheng expressions on several face how shock, sit another side of conference site two previous imu congress Fields reward the winner, similarly was stood Lu Zhou on stage that a series of operates gives to shockingly. 且不管在秦岳说出了这句话之后,王诗成院士几个脸上的表情如何震撼,坐在会场另一边的两位上届imu大会菲尔兹奖得主,同样是被站在台上的陆舟的那一系列操作给惊艳到了。 „Unbelievable......” moved under the stiff neck, Professor Akshay lifted the index finger, touched under the eyeglasses on bridge of the nose, the mouth talked over in a soft voice was saying, „introduced in the complex planes...... his method to subvert me the differential manifold thoroughly to the differential Geometry study as well as Asian pure function the understanding.” “难以置信……”活动了下僵硬的脖子,阿克萨伊教授抬起食指,碰了下鼻梁上的眼镜,嘴里轻声念叨着说道,“将微分流形引入到复平面上……他的方法彻底颠覆了我对微分几何学以及亚纯函数的理解。” Sits in his side, hugged Schultz of both arms to smile: „Stability that very it seems like he displays.” 坐在他的旁边,抱着双臂的舒尔茨笑了笑说:“看来他发挥的很稳定。” Akshay looked at his one eyes, says: „A little...... accidental/surprised.” 阿克萨伊看了他一眼,开口说道:“有点……让人意外。” Schultz: „What to be accidental?” 舒尔茨:“意外什么？” The vision is staring at the blank slate, Akshay pondered a while, opens the mouth to continue saying: „I do not think clearly, how he wants to come out. I do not know whether you could understand this feeling, the light shoots probably together from the space, but when we raise the head actually seek the unexposed source.” 目光直直地盯着白板,阿克萨伊沉思了一会儿,开口继续说道:“我想不明白,他是怎么想出来的。我不知道你能否理解这种感觉,就好像一道光从天上射来,但当我们抬头却寻不见光源。” Similarly is looking at that the disposed blank slate, Schultz smiles suddenly, with having several points of sigh with emotion tone was saying. 同样望着那张已经被填埋的白板,舒尔茨忽然笑了笑,用带着几分感慨的语气说道。 „There is nothing well strange, we did not understand, because we do not know how long before the labyrinth he wandered. But before making a great achievement, he does not seem glad to the gradual achievement writes in the paper shares to us sees.” “这没什么好奇怪的,我们不理解,只是因为我们不知道他在迷宫前徘徊了多久。而在做出一个宏大的成果之前,他似乎并不乐于将阶段性的成果写在论文上分享给我们看见。” „Therefore, I can understand your confusion, friend of mine. Because these mathematical formulas to me are also same, they are insufficient to be obscurely difficult to understand unable to understand, but they actually still gave me this not real feeling. Like the work of Mr. Grothendieck, the scholar who almost every profoundly studies this domain, the level studies diligently these to be presented as the classics of algebra Geometry study Holy Bible. When we try to follow his mentality, why to have such ponder to him when getting to the bottom, this extremely arrogant idea will fail mostly. As if......” “所以,我能够理解你的困惑,我的朋友。因为那些算式对我来说也是一样,它们并不至于晦涩难懂到无法理解,但它们却仍然给我这种不真实的感觉。就像格罗滕迪克先生的著作,几乎每一个深入研究到这个领域的学者,都层钻研过那些被奉为代数几何学圣经的经典。然而当我们试图顺着他的思路,对他是缘何产生这样的思考而追根溯源时,这种狂妄的想法多半会落空。就仿佛……” At this point, Schultz stopped the moment. 说到这里,舒尔茨停顿了片刻。 As if seeking for an appropriate analogy to be the same, he pondered is very long. 就仿佛是在寻找一个贴切的比喻一样,他思考了很久。 But at this moment, on the stage that filled up blank slate, had been towed by the staff one side, traded a brand-new blank slate. 而此刻,台上那张被填满的白板,已经被工作人员拖到了一边,换了张崭新的白板上来。 Stood Lu Zhou before blank slate stopped for several seconds, then lifted the pen in hand, continued to write with vigor above. 站在白板前的陆舟只是停顿了几秒,便抬起了手中的笔,继续在上面奋笔疾书了起来。 At this time, Schultz thought finally. 这时候,舒尔茨终于想到了。 Also almost, that had not said subconsciously the words that blurted out from his mouth. 也几乎下意识地,那句未说完的话,从他嘴里脱口而出。 „...... As if came from void.” “……就仿佛来自虚空。” „It seems like these mathematical formulas, does not belong to this world to be the same.” “就好像那些算式,根本不属于这个世界一样。” ( Note 1: Knight Attia had openly complained in the inquiry link of Heidelberg public lecture this matter, in fact the scholar bitter experience like him resists the manuscript repeatedly truly is very rare, particularly arxiv this even folk mathematician can obtain the place that treats tolerantly. (注一:阿提亚爵士本人在海德堡报告会的提问环节公开抱怨过这件事情,事实上像他这样的学者频频遭遇拒稿确实是很罕见的,尤其是arxiv这种连民间数学家都能获得宽容对待的地方。 Failure the proof about significant mathematical proposition declared one time, regarding scholar an attack of academic prestige is extremely serious, but several times of failure, the final result is to then lose everyone's trust continuously, even if Fields rewards the halo that and Abbel rewards, under the influence that in the academic prestige is damaged will still be overshadowed. Thus it can be seen, the academic circle is a place of incomparable reality.) 一次关于重大数学命题的失败的证明宣称,对于一名学者的学术声誉的打击是极其严重的,而连续数次的失败,最终的结果便是失去所有人的信任,而即便是菲尔茨奖和阿贝尔奖的光环,在学术声誉受损的影响下也会黯然失色。由此可见,学术界是一个无比现实的地方。)