Lu Zhou thinks, oneself has been used to this feeling. 陆舟原本以为,自己已经习惯了这种感觉。 What the result has not thought that when he stands here, is hard to restrain the surging emotions of that surging forward. 结果没想到的是,当他站在这里的时候,还是难以克制那汹涌澎湃的心潮。 , not only unlike that public lecture of Institute for Advanced Study No. 1 lecture hall, theory of numbers that this he faces time, but is the entire mathematics circles...... 与普林斯顿高等研究院一号报告厅的那场报告会不一样,这一次他面对的不只是数论界,而是整个数学界…… Stands on the report stage, Lu Zhou made a deep breath, making the heart rate gradually tranquil. 站在报告台上,陆舟做了一个深呼吸,让心率渐渐平静了下来。 Looked for the n th time to the watch. 第n次看向了手表。 Looks at that more and more near second hand, on his face exchanges the earnest look, hit the spirit. 看着那越来越近的秒针,他的脸上换上认真的神色,打起了精神。 „Must start!” “要开始了！” At exactly 9 : 00. 九点整。 Does not need the person to maintain the discipline, when the time arrives at the integral point the instance, because originally discussed low voice appears the noisy chaotic conference site, shortly then peaceful. 根本无需人去维持纪律,当时间到达整点的瞬间,原本因为小声讨论而显得嘈杂纷乱的会场,顷刻之间便安静了下来。 Under being a focus of public attention, in the silver-white theater curtain, appeared one line of clear titles. 在万众瞩目之下,银白色的幕布中,浮现了一行清晰的标题。 Responded to under this stage that both line of sight, Lu Zhou opens the mouth slowly, started the prologue of public lecture. 回应这台下那一双双视线,陆舟缓缓开口,开始了报告会的开场白。 „The automobile why decomposition of high-speed travel, the static lake water why will not explode suddenly.” “高速行驶的汽车为何不会自我分解,静止的湖水为何不会突然爆炸。” „For a long time, we were being puzzled by the obvious thing, the truth that because we earnestly seek, is always throwing over the obvious camouflage.” “长久以来,我们被显而易见的东西所困扰着,因为我们所渴求的真理,总是披着显而易见的伪装。” „Even in the 19 th century, we have then summarized the equation of induction fluid motion rule, and causes it seemingly enough succinct, however until now, we behind more profound a math to the equation and physical connotation, still cannot find way out.” “即便早在19世纪,我们便已经总结出了归纳流体运动规律的方程,并且使它看上去足够的简洁,然而时至今日,我们对方程背后更深刻的数学、物理内涵,依然是一筹莫展。” „Math is a rigorous division/discipline, related to the proposition of digit, should not use perhaps or possibly this type of dim daylight. The dark unclear words and expressions described.” “数学是一门严谨的学科,涉及到数字的命题,不应该用也许或者可能这种暧.昧不清的词语来描述。” Can't the automobile that „return initial issue, why goes high-speed the decomposition? Why can't the static lake water explode suddenly? In infinite time scale whether has such a mysterious singular point, making our equations diverge within limited time?” “回归最初的问题,为什么高速行驶的汽车不会自我分解？为什么静止的湖水不会突然爆炸？在无限的时间尺度上是否存在那么一个神秘的奇点,让我们的方程在有限的时间内发散？” „Now, was the time answers this issue.” “现在,是时候回答这个问题了。” The brief prologue end, ppt on theater curtain opened the next page. 简短的开场白结束,幕布上的ppt翻开了下一页。 But public lecture, entered in the subject. 而报告会,也进入到了正题之中。 With three seconds, Lu Zhou reorganizes the mentality that one spoke in the brain rapidly. He is facing the entire audience, with one minute made a simple summary to own proof line. 用三秒钟的时间,陆舟在大脑中迅速整理了一遍发言的思路。紧接着他面对着全场观众,用一分钟的时间对自己的证明思路做了一个简单的综述。 Under the stage the audience are completely silent. 台下听众鸦雀无声。 Everyone is staring at the picture and mathematical formula on theater curtain, everyone is listening carefully, is not willing to let off any detail, is not willing to miss any instance. 所有人都凝视着幕布上的图片和算式,所有人都在仔细地听着,不愿意放过任何一个细节,不愿意错过任何一个瞬间。 „When we assign a Schwartz no divergence vector field 0 to the equation, establishment time-gap i 【 0 , ﹢ ∞), then can continue to define the navier-stokes equation generalized solution h10 is a continuous mapping that obeys the General points equation, namely → h 10 df......” “当我们对方程给定一个施瓦茨无散度向量场0,设置时间间隔i【0,﹢∞),进而可以继续定义navier-stokes方程的一个广义解h10为一个服从积分方程的连续映射,即→h10df……” Ppt in theater curtain is showing, in the hand is grasping Lu Zhou of laser pen, while fast is illustrating in side in the even language. 幕布中的ppt一边放映着,手中握着激光笔的陆舟,一边用均匀的语速在旁边解说着。 The front part has no need specifically to explain. 前面的部分没什么需要特别说明的。 About the paper of ns equation research, can see similar thing much. 不少关于ns方程研究的论文中,都能看到类似的东西。 Uses abstract proof method structure abstract bilinear operator B, he uses „l manifold” method, part is essential. 无论是采用抽象证明方法构造抽象的双线性算子b,还是他采用的“l流形”方法,这一部分都是必不可少的。 However the following part, is the key in entire proof line! 然而接下来的部分,便是整个证明思路中的关键！ He the concept of differential manifold, will introduce the partial differential equation in the issue. 他会将微分流形的概念,引入到偏微分方程的问题之中。 But this, „utilization topological method research partial differential equation” the core of theory is at! 而这,也正是“运用拓扑方法研究偏微分方程”理论的核心所在！ ...... …… Under the stage, slow Chenyang is serious, the pen tip in hand, ignites in the notebook gently. 台下,徐辰阳面色凝重,手中的笔尖,在笔记本上轻轻点着。 After a while, he uses the sound that only then two people can hear, to sitting asked in nearby Zhang Wei in a low voice. 过了一会儿,他用只有两个人能听见的声音,向坐在旁边的张玮低声问道。 „Did you understand?” “你看懂了吗？” Zhang Wei shakes the head: „I the research to the partial differential equation am less than you many, if you start to feel strenuously, then I was also similar.” 张玮摇了摇头:“我对偏微分方程的研究并不比你多多少,如果你开始感觉吃力,那么我也差不多了。” The direction and his teacher who Zhang Wei excels at open the longevity five similarly, main centralized in the theory of representation and Langlands program, has also studied to Dirichlet l function. 张玮擅长的方向和他的导师张寿五相似,主要集中于表示论、朗兰兹纲领,对狄利克雷l函数也有所研究。 The partial differential equation is not the domain that he excels, to the ns equation he is also only because the interest makes it so to understand. 偏微分方程不是他擅长的领域,对ns方程他也只是因为兴趣使然而了解过。 After all, impossible everyone the talent like Terence Tao, to be able proves the weak suspicion of Goldbach's conjecture, while studies the abstract proof of ns equation, even can also find the time to read off Shinichi Mochizuki's paper...... 毕竟,不可能所有人都像陶哲轩那样天才,可以一边证明哥德巴赫猜想的弱猜想,一边研究ns方程的抽象证明,甚至还能抽出时间读完望月新一的论文…… In the mathematics circles, the versatile person has. 数学界中,全才不是没有。 But actually compared with panda also scarce...... 但却比大熊猫还要稀少…… Looks at the mathematical formula on theater curtain, permits Chenyang cannot bear the feeling: „Simply unbelievable......” 看着幕布上的算式,许辰阳忍不住感慨:“简直难以置信……” Zhang Wei: „What to be unbelievable?” 张玮:“难以置信什么？” permits Chenyang: „Theory of numbers, abstract algebra, functional analysis, analysis situs, differential Geometry and does the partial differential equation...... have the direction that he does not excel at?” 许辰阳:“数论、抽象代数、泛函分析、拓扑学、微分几何、偏微分方程……还有他不擅长的方向吗？” „Perhaps...... algebra Geometry?” Said this saying time, Zhang Wei's voice filled was indefinite. “或许……代数几何？”说这话的时候,张玮的声音充满了不确定。 Because these words he just now says, then thinks that the Lu Zhou teacher is Deligne, the founder is in the legend „the father of modern algebra Geometry study” and „the Pope of mathematics circles” Grothendieck! 因为这句话他才刚说出口,便想起来陆舟的导师是德利涅,祖师爷更是传说中的“现代代数几何学之父”、“数学界的教皇”格罗滕迪克！ The core theory of modern algebra Geometry study, basically came from in the work that Grothendieck several have not been lost. 现代代数几何学的核心理论,基本上都源自于格罗滕迪克几本尚未失传的著作。 Must say that his not algebra Geometry, Zhang Wei kills does not believe. 要说他不会代数几何,张玮是打死也不信的。 At most, has not studied that to go temporarily, the achievement is also fermenting...... 顶多,是暂时还没研究到那块去,成果还在酝酿中…… ...... …… On the stage, the public lecture continues. 台上,报告会继续进行。 The Lu Zhou language fast is getting quicker and quicker, the mentality is also getting more and more clear, is getting more and more smooth. 陆舟的语速越来越快,思路也越来越清晰,越来越流畅。 the introduction of l manifold, plays the decisive role regarding the solution of entire proposition. l流形的引入,对于整个命题的解决起到了决定性的作用。 It is similar to a iron hammer, on that impregnable labyrinth wall, drove out a gap. 它就如同一柄铁锤,在那牢不可破的迷宫墙壁上,轰开了一道缺口。 With this moment arrival, the confusing situation, instantaneously becomes clear bright. 随着这一刻的到来,原本扑朔迷离的局势,瞬间变得清晰明朗。 But at the same time, the atmosphere in conference site was also pushed to high hao. 而与此同时,会场内的气氛也被推向了高hao。 Sits in the conference site corner, on Fefferman face showed the smiling face, starting from this moment, he had seen finally. 坐在会场角落,费弗曼脸上露出了笑容,从这一刻开始,他已经看到了最后。 Another side of conference site Terence Tao, the mouth is meditating low voice „so that's how it is”, in the eye is glittering the exciting appearance. 会场另一边的陶哲轩,嘴里小声默念着“原来如此”,眼中闪烁着兴奋的神采。 The back row of conference site, feels that burning hot in atmosphere, Vera pinched tightly the right hand, the heartbeat that returned to normal starts thump however to accelerate. In this moment, she from the heart is proud for her teacher...... 会场的后排,感受到现场气氛中的那一丝炙热,薇拉捏紧了右手,原本平复的心跳开始怦然加速。在这一刻,她发自内心地为她的导师感到自豪…… Similarly sits in the back row of conference site, the corners of the mouth that Faltings tightened, suddenly brought back a uncommon angle. 同样坐在会场的后排,法尔廷斯原本绷紧的嘴角,忽然勾起了一丝不常见的角度。 Noticed on the old friend face the change of expression, Deligne spoke thoughtlessly to ask. 注意到了老朋友脸上表情的变化,德利涅随口问道。 „How feels?” “感觉如何？” Faltings unemotional say/way: „Same.” 法尔廷斯面无表情道:“一般般。” „Said that this saying you don't blush?” Deligne smiles lightly, he will previously deliver oneself gift on first meeting, constantly. “说这话你不脸红？”德利涅淡淡笑了笑,将先前他送自己的见面礼,原封不动地还了回去。 The corners of the mouth twitched, Faltings has not paid attention to teasing of old friend, looked at a watch, stands up sluggishly. 嘴角抽搐了一下,法尔廷斯没有理会老朋友的调侃,看了眼手表,慢吞吞地站起身来。 Deligne: „Immediately must finish, doesn't see finally?” 德利涅:“马上就要结束了,不看到最后？” „Without that necessity.” “没那个必要。” In any case, oneself have all understood. 反正,自己已经全听懂了。 Bored issue, left others to give regards. 无聊的问题,还是留给别人去问好了。 Left behind these words, Professor Faltings has not stopped, across crowd that on the corridor sits, moved toward the exit|to speak of conference site directly. 留下了这句话,法尔廷斯教授没做停留,穿过过道上席地而坐的人群,径直走向了会场的出口。 But almost leaves the instance of lecture hall in Professor Faltings, the entire public lecture also welcomed the final last act. 而几乎就在法尔廷斯教授离开报告厅的瞬间,整场报告会也迎来了最后的尾声。 When the last line of mathematical formulas map the view of audience audience, has almost not needed Lu Zhou to give any explanation again. 当最后一行算式映入全场听众的眼帘,几乎已经无需陆舟再多做任何的说明。 Such that because sees on such as the audience audience, the final answer takes shape. 因为就如全场听众所看到的那样,最后的答案已经呼之欲出。 „...... Above the synthesis all deductions, the result is obvious, the solution of three dimensional incompressible viscous flow navier-stokes equation is to exist, if we anticipate such smooth!” “……综合以上所有的推论,结果已经显而易见,三维不可压缩navier-stokes方程的解是存在的,并且如我们期待中的那样光滑！” That sound, clear and affirmed. 那声音,清晰而肯定。 Although is not resonant, has a convincing charm. 虽不算嘹亮,却带着一种令人信服的魔力。 But the source of that charm, is the knowledge. 而那魔力的源泉,便是知识。 Almost in the flash that the voice drops. 几乎就在话音落下的一瞬间。 The audience stand up from the seat. 听众们唰地从座位上站起。 If the slating applause, will resound through one piece shortly, in this broad and crowded lecture hall, prolonged...... 如雷鸣般的掌声,顷刻之间响彻一片,在这宽阔而拥挤的报告厅内,经久不息……