Before the time returns to 27 double-hour . 时间回到二十七个时辰之前。 king Qi went out of oneself study room well satisfied, the deep sigh one breath. 王崎心满意足的走出了自己的书房,长叹一口气。 „Completed.” In his heart, full is works the later sufficient feeling, but has no „pleasant surprise”. “完成了。”他的心中,满是劳动之后的充足感,但是却没有什么“惊喜”。 This is the way of Bourbaki School. Regarding Bourbaki School, is successful, but does not have „unexpected comprehension”. 这就是布尔巴基学派的方式。对于布尔巴基学派来说,只有水到渠成,而没有“意外领悟”。 Many Earth mathematicians once described the working method of Bourbaki School like this „in their eyes, only then own destination, actually does not spare a glance to the scenery of roadside”. 很多地球数学家曾经这样形容布尔巴基学派的工作方式“他们的眼中,只有自己的目的地,却对路边的风景不屑一顾”。 Naturally, toward a destination road to set off, is not the wrong working method. 当然,朝着目的地一路进发,并非是错误的工作方式。 However, to the mathematician, sometimes, „roadside scenery” instead is more important than „destination”. ; 但是,对于数学家来说,有的时候,“路边风景”反而比“目的地”更加重要。; Or when the method of studying some topic discovering, is more meaningful than the topic. 或者说,在研究某个题目时发现的方法,比题目本身更有意义。 Most direct-viewing manifestation, is the Fermat big theorem, with the Goldbach's conjecture. 最直观的体现,就是费马大定理,与哥德巴赫猜想。 The Goldbach's conjecture does not say. With the Fermat big theorem, the Fermat big theorem resulted in the births of many mathematical instruments. The Hilbert's program, has the shadow of Fermat big theorem, but the ultimate answer of Fermat big theorem, „Gushan- will village” suspicion, is a part of Langlands program. 哥德巴赫猜想不说了。就拿费马大定理来说吧,费马大定理本身就引发了许多数学工具的诞生。希尔伯特计划,有费马大定理的影子,而费马大定理的终极答案,“谷山-志村”猜想,又是朗兰兹纲领的一部分。 Otherwise, who cared works as integer n > 2, equation xn + yn = zn about x , y , z has the positive integer solution? 不然的话,谁关心当整数n>2时,关于x,y,z的方程xn+yn=zn有没有正整数解？ Who cared that any one was bigger than 2 even numbers to write the sums of two prime number? 谁又关心任一大于二的偶数可不可以写成两个质数之和了？ Also because, there are many mathematicians, hates Bourbaki School, becomes it for „” senselessly. 也正是因为如此,有很多数学家,非常痛恨布尔巴基学派,成它为“无趣的”。 But undeniably, sometimes, this work, is very meaningful. 但不可否认,有时候,这种工作,也是很有意义的。 Nine volumes of « Calculated " accumulation, the knowledge of Earth history, achieved mastery through a comprehensive study in this moment. 九卷《原算》的积累,地球历史的知识,在这一刻融会贯通了。 king Qi completed the proof of fundamental lemma. 王崎完成了基本引理的证明。 The so-called fundamental lemma general meaning is, it gave a formula, in reduced group the stable orbit overall in orbital overall and another group about local mode between relation. 所谓基本引理大概的意思是,它给出了一个公式,是关于局部域上的约化群上的轨道积分和另一个群上的稳定轨道积分的之间的联系。 Said possibly a point complex. 这么说可能复杂了一点吧。 After all, this is in the 21 st century the completed proof. 毕竟,这是二十一世纪才被人完成的证明。 The math develops this degree, is not the mortal can understand. Takes a study math with „logical expression” to you explained that this issue, he also can only desperate expression „by your understanding ability, talk clearly this with you finally is not possible”. 数学发展到这个程度,就已经不是凡人能够理解的了。要一个学数学的用“人话”跟你解释这个问题,他最终也只能绝望的表示“以你的理解能力,跟你说清楚这个是不可能的”。 In 2008, Vietnamese mathematician Ngo Bao Chau completed in France to the proof of fundamental lemma. 2008年,越南裔数学家吴宝珠在法国完成了对基本引理的证明。 The fundamental lemma, is the preliminary proof of Langlands program. 基本引理,是朗兰兹纲领的初步证明。 But what is the Langlands program? 而朗兰兹纲领又是什么？ It can be said as the updated version of Hilbert's program, is many mathematicians approves, the direction of mathematics circles next time. 它可以说是希尔伯特计划的升级版,是许多数学家都认可的,数学界下一个时代的方向。 The Langlands program, the great attempt that the math unifies. 朗兰兹纲领,正是将数学统一起来的伟大尝试。 In 1940, Bourbaki school of thought a founding member of Andrew Weil was arrested to be put in prison in France. 1940年,布尔巴基学派的创始成员之一的安德烈・韦伊在法国被捕入狱。 In the prison, Weil insists on the mathematical research. Once again, he lies during a communication of younger sister Simone Veil philosopher, mentioned itself regarding math „general trend” view. He through the analogy of domain the theory of numbers and geometry these two most are interested, explains this issue. He believes, these two class probably two different languages are ordinary. 在狱中,韦伊坚持数学研究。又一次,他在于自己妹妹西蒙娜・韦伊一位哲学家的通信之中,提到了自己对于数学“大趋势”的看法。他通过数论与几何学这两个自己最感兴趣的领域的类比,来阐释这个问题。他认为,这两个门类就好像两门不同的语言一般。 This is also the idea of Langlands program. 这也是正是朗兰兹纲领的想法。 In 1967, just became the young people of professor, mailed a letter/believes to this Bourbaki. He in letter/believes he proposed one group of far-reaching suspicions. These suspicions predicted in the math the non- exchange harmonic analysis precisely between the relation that and interdisciplinary domains of the automorphic form theory and theory of numbers possibly has, and tries to unify them. 1967年,一位刚刚成为教授的年轻人,给这位布尔巴基寄来了一封信。他在信中他提出一组意义深远的猜想。这些猜想精确地预言了数学中在非交换调和分析、自守形式理论和数论的跨学科领域之间可能存在的联系,并试图将他们统一起来。 This professor, is Robert Langlands. 这位教授,正是罗伯特・朗兰兹。 We can regard as an all trades language the diverse sectors of modern mathematics. The meaning that in the middle of different language certain sentences, in our eyes, they expressed was the same, but pronunciation different this was also in the modern linguistics „referred to” and „can refer to” the difference. 我们可以把现代数学的不同领域看做一门门语言。不同语言当中的某些句子,在我们眼中,它们表达的意思是一样的,只是读法不同这也就是现代语言学之中“所指”与“能指”的区别。 People put the same place these sentences, constantly accumulates, can form translation criteria. It can help the mathematician, completes the translation effort. 人们将这些句子放到一起,不断积累,就能形成一部翻译标准。它可以帮助数学家,完成翻译工作。 The diverse sectors of math are similar. 数学的不同领域与之类似。 Is one is grand makes the suspicion that one is awed at the sight, stretches across the theory of numbers, group theory , the theory of representation and algebraic geometry present age math and other big domains. Once obtains the complete proof, many crucial questions in these domains will be easily solved. 是一个宏伟得令人望而生畏的猜想,横跨当代数学中的数论、群论、表示论和代数几何等几大领域。一旦得到完整的证明,这些领域中的诸多中心问题将迎刃而解。 It seems like Hilbert's program such, can unify the entire math, forms a complete whole. 它就好像希尔伯特计划那样,可以将整个数学统一起来,形成一个完整的整体。 In Earth, the Langlands program is called „the Rosetta Stone of mathematics circles”. 在地球,朗兰兹纲领被称作“数学界的罗塞塔石碑”。 Just, with this „stele” sacred phase contrast, is its difficulty. 只不过,与这个“石碑”神圣性相衬的,是它的难度。 „I think that this issue does not have the answer.” Longlands in letter to Andrew Weil, even wrote like this: „If you can treat as the pure guess to read( my letter/believes), I will be very grateful ; If not good I to believe that your has the waste basket on hand.” “我认为这个问题没有答案。”朗兰兹在给安德烈・韦伊的信函之中,甚至这样写道:“如果您能把(我的信)当作纯粹的猜测来读,我会很感激;如果不行我相信您的手边就有废纸篓。” king Qi cannot even believe, oneself really success completed the proof of fundamental lemma unexpectedly. 王崎甚至都不敢相信,自己居然真的成功完成了基本引理的证明。 This simply was a miracle. 这简直就是个奇迹了。 „Was fierce, I.” He so contented saying. “厉害了,我。”他如此自得的说道。 He grabs the 200-page proof process, originally is about to leave directly. 他抓着厚达200页的证明过程,本来准备直接离开的。 However sees a study room entrance bulk yellow jade, stops the footsteps. 但是看见自己书房门口的一大块黄色玉石,就停下脚步。 „Un, later might say, can first prepare the teaching aid.” “嗯,待会说不定要讲道,可以先准备准备教具。” king Qi is thinking, moves toward itself to remain specially, a biggest jade. 王崎这么想着,走向自己特意留下来的,最大的一块玉石。 This jade person of high, is he pulls out with great difficulty from the mineral lode center. 这一块玉石足足有一人高,是他好不容易才从矿脉中心抽出来的。 „The decision was you.” king Qi is saying, patted this jade conveniently. Immediately, the stone material rustle the sound, the innumerable powder change into the dust to fall. “就决定是你了。”王崎如此说着,随手拍了拍这块玉石。顿时,石料簌簌响动,无数粉末化为尘土落下。 Finally, in pile of dust, a neat regular tetrahedron completed. 最终,一堆粉尘之中,一个规整的正四面体完成了。 king Qi nods, puts out a hand, in first of regular tetrahedron, carved „theory of numbers” two characters. 王崎点了点头,伸出手,在正四面体的第一面上,刻下了“数论”二字。 Weil's initial tentative plan, is the analogy of geometrical and theory of numbers. Theory of numbers and how much during the developing process of Langlands program, truly played the tremendous role. 韦伊最初的设想,就是几何与数论的类比。数论与几何在朗兰兹纲领的发展过程当中,也确实发挥了巨大作用。 The core of Langlands program lies in the theory of numbers. Longlands conceived some difficulty quite major theory of numbers problems, for example computation, when mold for prime number the quantity of root, can use the harmonic analysis law, specifically speaking, solves using the automorphic function. 朗兰兹纲领的核心就在于数论。朗兰兹设想了一些难度比较大的数论问题,比如计算当模为质数时方程式根的数量,可以利用调和分析法,具体来说,就是运用自守函数来解决。 This mentality, simply long jab math connected essence. 这个思路,简直直击数学相连的本质。 But the fundamental lemma, then announced to the world, this mentality is feasible. 而基本引理,便是向世界宣告,这个思路是可行的。 Longlands is not the member of Bourbaki School. However the Langlands program, actually happens to hold the same view with the thought of Bourbaki School. 朗兰兹不是布尔巴基学派的成员。但是朗兰兹纲领,却是与布尔巴基学派的思想不谋而合的。 king Qi dishes out this guiding principle here, is happen to appropriate. 王崎在这里抛出这个纲领,正好合适。 He in „theory of numbers”, also in carving another two lines of characters. 他在“数论”之下,又雕刻上了另外两行字。 One line „gal group” 【Gal Wallow group】 一行“伽氏群”【伽瓦罗群】 One line „automorphic function”. 一行“自守函数”。 But in second, he also carved three words. 而在第二面上,他也雕刻了三个词。 „The curve in galois field plane”. “有限域平面上的曲线”。 „Gal group”. “伽氏群”。 „Automorphic function or automorphy level”. “自守函数或自守层”。 Third, engraves three words. 第三面,也刻上三个词。 „Riemann surface”. “黎曼曲面”。 „Fundamental group”. “基本群”。 „Automorphy level”. “自守层”。 Except that faces outside that side of ground, remaining three, inscribe the character. 除去朝向地面的那一面之外,剩下的三面,都刻有字。 This is the three tracks of Langlands program. 这正是朗兰兹纲领的三条轨道。 No, in this world, it did not call the Langlands program. 不,在这个世界,它不叫朗兰兹纲领。 It should be called...... 它应该叫做…… „Builds the base guiding principle......?” “筑基纲领……吗？” king Qi the sudden heart has a feeling. 王崎突然心有所感。 In a flash, wind and cloud look changes. 一瞬间,风云色变。 The spirit force circulation of star was really destroyed. The spirit strength of entire star, to he is standing the place gathering. He seems like on this star the sudden third magnetic pole to be the same. 真个星球的灵力循环都被破坏。整个星球的灵力,都在向他站着的地方汇聚。他就好像是这个星球上突然出现的第三个磁极一样。 The lifeform that innumerable have the magnetic induction ability sends out calling out in alarm of pain suddenly. 无数有磁感能力的生物骤然发出痛苦的惊呼。 Two free and unfettered send out to call out in alarm suddenly: „Flying immortal inexorable fate?” 有两个逍遥骤然发出惊呼:“飞仙劫数？” This scale, has made them think of the flying immortal inexorable fate. 这个规模,已经让他们想到飞仙劫数了。 However, the Nirvana period member of this star were not many, how to have the flying immortal inexorable fate? 但是,这个星球的涅槃期修士本就不多,怎么会有飞仙劫数？ Only if...... 除非…… „king Qi does clone also make the quantum leap?” “王崎的分身也有巨大突破？” king Qi clone...... not, should be „whole” „part”, a mortal body, on this star. 王崎的分身……不,应该算是“整体”的“一部分”,一个肉身,就在这个星球上。 king Qi the whole, probably a giant immortal is common. 王崎整体,就好像一个巨大的仙人一般。 But he mortal body in another region, seems like during referring to of immortal to be the same. 而他在他乡上的肉身,就好像是仙人的指间一样。 Immortals facing thunder tribulation time, refers to will naturally also suffer the attack of part of heavenly thunders. 仙人面对雷劫的时候,指间自然也会遭受一部分天雷的攻击。 In other words...... 也就是说…… king did Qi make the quantum leap? 王崎有了巨大突破？ king Qiye has not been learned the change that attended the meeting to hit like this. He has completed the proof of fundamental lemma, but in that flash of completion, he has not caused the too sweeping change. He also thinks, this is the basic characteristics of Bourbaki School, all breakthroughs by „gradation” the form realizes. 王崎也没有料到会有这样打的变化。他已经完成了基本引理的证明,但在完成的那一瞬间,他没有引起太大变化。他本人还以为,这是布尔巴基学派的基本特性,所有突破都是以“渐变”的形式实现的。 In that flash, in king Qigong the body, came from in Wanfa family merit, to come from the part of math crushes instantaneously, was restructured. 在那一瞬间,王崎功体之中,源自于万法门功法、源自于数学的部分瞬间粉碎,然后被重构。 Since has tied pill period, king Qi happen to takes ten thousand law family merit laws the space day position merit as to major. 而自从结丹期以来,王崎正好就是以万法门功法相宇天位功为主修的。 Therefore...... 所以…… This is in the whole the tremendous changes. 这是整体上翻天覆地的变化。 His attention is not above own that mortal body. 他的注意力已经不在自己的那一个肉身之上了。 This is the integrity change. 这是整体性的变化。 Like the mountain operator, composed the unapproachable tide, was circulated to brush back and forth by the surface in the beast mechanism/organization colony. 如同山岳般的算符,组成了无可匹敌的浪潮,在兽机关集群都被表面来回循环刷动。 But this is only the surface. 但这只是表面而已。 Internal restructuring is more complex, even is hard to describe clearly with the natural language. 内部的重构更加复杂,甚至难以用自然语言描述清楚。 A spirit strength turbulent flow formed in his side. The solar wind was enraged probably was the same, is roaring to him. This is came from beside half astronomical unit star the violent anger. The storm of spirit strength coerces the energetic particle to rush to king Qi. 一个灵力涡流在他身边形成了。太阳风好像被激怒了一样,对着他咆哮。这是来自于半个天文单位之外恒星的暴怒。灵力的风暴裹挟着高能粒子涌向王崎。 Generally speaking, when the outer space thin spirit strength, will not trigger the breakthrough inexorable fate. 一般来说,外层空间稀薄的灵力,是不会引发突破时的劫数的。 However, in this flash, king Qi the breakthrough was extremely remarkable, causing him to extract a spirit strength no war zone directly, caused the spirit force circulation of Sun to collapse and restructure. 但是,在这一瞬间,王崎的突破太过显著了,导致他直接抽出了一个灵力真空地带,引得太阳的灵力循环都崩溃并重构了。 This is the heavenly body monster spirit rank „day tribulation”. 这就是天体妖灵级别的“天劫”。 Is good because of king Qi is only the breakthrough. His Yuan god law revolves, this exterminates the vast day tribulation of star sufficiently, was absorbed by him, changes into own strength. 好在王崎只是突破而已。他元神法运转开来,这足以灭绝星球的浩瀚天劫,也被他吸收掉,化为自己的力量。 In blurry, he felt probably oneself also has progressive greatly. 在迷迷糊糊之间,他好像感觉到自己又大有进步。 But when he recovers, the time has passed is very long. 但当他回过神来的时候,时间已经过去很久了。 king Qi in the mortal body of another region, had completed a promotion along the Yuan god law from the non- immortal to the promotion of immortal. 王崎在他乡的肉身,已经沿着元神法完成了一次晋升从非长生到长生的晋升。 Even according to the harshest standard, he can still say the free and unfettered member. 就算按照最苛刻的标准,他也可以自称逍遥修士了。