Hears these words, Professor Fefferman gawked under. 听到这句话,费弗曼教授愣了下。 Small 小 Said. 说. Quick, his look put in order slightly, asked earnestly. 很快,他的神色微微整了整,认真问道。 „Can under the detail?” “可以详细说明下吗？” „Naturally,” Lu Zhou picked up the chalk, „, but, I need to use the blackboard.” “当然,”陆舟拾起了粉笔,“不过,我需要用到黑板。” Once the mentality makes a connection, the computation is successful. 思路一旦打通,计算不过是水到渠成。 Used for probably a half hour, the blackboard of both sides blank writes all over. 用了大概半小时的时间,两面空白的黑板写满。 Retrocedes two steps, Lu Zhou looks at the mathematical formula on blackboard, is thinking over gently the half chalk in hand, said with the affirmative tone. 后退两步,陆舟看着黑板上的算式,轻轻掂量着手中的半截粉笔,用肯定的语气说道。 „In summary, according to the abstract proof law, we can only obtain to have t1 ( > 0 ), causes this/should to solve weakly in partial time ( 0 , t 1 ) is smooth. But this t1 value, but also is to be determined.” “综上所述,根据抽象证明法,我们只能得出存在t1(>0),使得该弱解在局部时间(0,t1)内是光滑的。而这个t1的值,还有待确定。” The final conclusion difference of this conclusion and millennium difficult problem is very big, as for big, is equivalent to the Newton's law of motion probably in the restricted theory of relativity. 这个结论与千禧难题的最终结论差别很大,至于有多大,大概就相当于牛顿运动定律之于狭义相对论。 The former defined beginning the specific situation of boundary value, and is only applicable to the limited time domain, but millennium difficult problem about ns equation, discussion is actually under the three dimensional condition ns soluation of equation the complete situation of existence and smooth issue. 前者限定了初边值的特定情形,并且仅适用于有限时域之内,而关于ns方程的千禧难题,讨论的却是三维条件下ns方程解的存在性与光滑性问题的全部情形。 But the equation that they construct had the explosion in some unknown specific value t = t 1, because this/should specific value surpassed ( 0 , t 1 ) sector. 而他们构造的方程之所以在某个未知的特定值t=t1发生了爆炸,正是因为该特定值超出了(0,t1)的区间。 Only is applicable to the low speed rotation like the Newton's law of motion, in high-velocity situation not suitable...... 就像牛顿运动定律只适用于低速运动一样,在高速运动的情形下并不适用…… After listening to the indication of Lu Zhou, a Fefferman face was speechless. 听完了陆舟的表述之后,费弗曼一脸无语。 „......, since you have long known that this is wrong, why did not tell me earlier.” “……既然你早就知道这是错的,为什么不早点告诉我。” Lu Zhou coughed, said embarrassed, „...... I am also think now.” 陆舟干咳了一声,不好意思地说道,“……我也是现在才想到。” Staring at the blackboard silent probably ten minutes were so long, took a fresh look at a Professor Fefferman these steps, sighed gently. 盯着黑板沉默了大概十分钟那么久,将这些步骤重新看了一遍的费弗曼教授,轻轻叹了口气。 „You is right, our previous mentalities imperfect......” “你是对的,我们先前的思路并不完美……” Lots, once exposes, actually did not have is so mysterious. 很多东西,一旦点破,其实就没那么的神秘了。 Stopped a moment later, Professor Fefferman a thread of conversation revolution , to continue saying that „, however also just as you said that if we can give a definite t1 value, can determine that ns equation in some concrete time sector, has the smoothing solution.” 停顿了片刻之后,费弗曼教授话锋一转,继续说道,“然而也正如你所说的,如果我们能够给出一个确定的t1值,就能确定ns方程在某个具体的时间区间内,是存在光滑解的。” Lu Zhou gawked slightly, his method to the abstract proof is never so expected that rigid. 陆舟微微愣了下,没想到他对抽象证明的方法如此执着。 Pondered a while, Lu Zhou supplemented one. 沉思了一会儿,陆舟补充了一句。 „Light is this is insufficient, we must use a precise method, differentiates original operator B and structure bilinear operator b'.” “光是这样还不够,我们必须用一种精确的方法,区分原算子b和构造的双线性算子b'。” Professor Fefferman sighed: The I who „you said know. But compares to open a new mentality, I thought continues more appropriate in the original research results. At least in my opinion, method of abstract proof still potential.” 费弗曼教授叹了口气:“你说的这个我知道。但相比起重新开辟一条新的思路,我还是觉得在原有的研究成果上继续走下去更合适。至少在我看来,抽象证明的方法依然具有潜力。” Silent a while, he made the decision finally. 沉默了一会儿,他最终做出了决定。 „Since we are the people who suit the independent study, then conducted respectively independently.” “既然我们都是适合独立研究的人,那么就分别独立进行好了。” Although favors new way of thinking that Lu Zhou provides similarly, the method of but abstractly proving he also does not plan easily to give up. 虽然同样看好陆舟提供的新思路,但抽象证明的方法他同样不打算就这么轻易放弃。 The words such being the case, two people are good from two direction Move out simultaneously. 既然如此的话,两个人就同时从两个方向出发就好。 So many roads, leads to Rome after all. 那么多条路,总归有一条是通往罗马的。 Lu Zhou nods, approved Professor Fefferman's proposition. 陆舟点了点头,也认同了费弗曼教授的提议。 „This is the best choice.” “这是最好的选择。” The research of mathematical proposition can be under discussion to conduct, but discussed that the research is never the only choice. 数学命题的研究可以在讨论中进行,但讨论研究永远不是唯一的选择。 In the evening, late after running, goes home, after Lu Zhou has taken a bath, arrives at the study room directly, turned on the notebook , to continue the electronic files of paper to „the l manifold” to make the final revision. 晚上,晚跑之后回到了家中,陆舟洗过澡之后,径直来到书房,打开了笔记本电脑,继续对“l流形”论文的电子档进行最后的修改。 About the research of l manifold, is actually quite splendid research results. 关于l流形的研究,其实已经是一个相当出色的研究成果了。 Bilinear operator b' that seems Professor Fefferman to construct, even cannot directly solve the ns soluation of equation the existence issue, can still in going against the publication publishes as independent research results. 就好像费弗曼教授构造的双线性算子b',即便不能直接解决ns方程解的存在性问题,也能作为一个独立的研究成果在顶刊上进行发表。 Even, even if attains at the international mathematician ( imu ) conference of August to report, still has more than enough to spare. 甚至于,即便是拿到八月份的国际数学家(imu)大会上进行报告,也是绰绰有余。 Is specifically useful as for it? 至于它具体有什么用？ Studies the ns equation the solution definitely is main, in addition it can also like other differential manifolds, conduct „Topological surgery” regarding some complex non-linear differential structures, making these complex issues seems like not complex. 研究ns方程的解肯定是最主要的,除此之外它还能像其他微分流形那样,对于一些复杂的非线性微分结构进行“拓扑手术”,让那些复杂的问题变得看起来没那么复杂。 As for the uses of other domains, that was the things of other researchers. 至于其它领域的用处,那就是其他研究人员的事情了。 Someday its research results or are the engineering domain bloom the unexpected brilliance in the theoretical physics, these cannot reach an agreement. 或许有一天它的研究成果在理论物理或者是工程学领域绽放出意想不到的光彩,这些也都是说不好的。 Is staring at the computer screen, Lu Zhou silent was very long, finally sets firm resolve, paper contribution about l manifold in «Math Yearly journal» on. 盯着电脑屏幕,陆舟沉默了很久,最终还是下定了决心,将关于l流形的论文投稿在了《数学年刊》上。 As for the imu conference of August...... 至于八月份的imu大会…… He still decides the ns equation, as giving to the gift of international mathematics circles. 他依然决定将ns方程,作为献给国际数学界的礼物。 Even this decision, seemingly were permeated with the challenge. 即便这个决定,看起来充满了挑战。 After all so far, he regarding the research of ns equation, only has a fuzzy assurance merely. 毕竟到目前为止,他对于ns方程的研究,也仅仅只有一个模糊的把握而已。 Any mentality before arriving finally, correct or not cannot reach an agreement. 任何思路在走到最后之前,正确与否都是说不好的。 In Lu Zhou uploaded shortly after the manuscript, the paper about l manifold just through the inspection of academic editor, entered the peer review the link, the paper about Collatz conjecture, then with new issue of «Math Yearly journal», met with the entire international mathematics circles. 就在陆舟上传了稿件不久,关于l流形的论文刚刚通过学术编辑的检查,进入同行评审的环节,关于角谷猜想的论文,便随着新一期的《数学年刊》,与整个国际数学界见面了。 Just like also Lu Zhou previously was expected such. 也正如陆舟此前预料之中的那样。 This paper once were published, then triggered the stir of big range...... 这篇论文一经发表,便引发了不小范围的轰动…… ...... …… Opens the university, Shiing-Shen Chern math research institute. 开大学,陈省身数学研究所。 Spreads out on the table, is latest issue «Math Yearly journal» 摊开在桌上的,正是最新一期的《数学年刊》 Read the tail the paper from the beginning, Academician Zhang Wei even sighs lightly, says with emotion. 将论文从头读到尾,张玮平院士轻叹了一口气,感慨道。 „Worthily is Professor land, never expected that he, not only in the research has one set, student who teaches not simple......” “不愧是陆教授,没想到他不只是研究上有一套,教出来的学生也不简单……” Qin Yue that student, Academician stretch/open knows, even wrote the letter of recommendation to him, recommended him the person who went to Princeton to study for the master's degree, was oneself. 秦岳那个学生,张院士是知道,甚至于给他写推荐信,推荐他去普林斯顿攻读硕士学位的人,正是自己。 To be honest, initially encouraged him to report the master of Professor land, Dean stretch/open has not had very high hope. 说实话,当初鼓励他报陆教授的硕士,张院长并没有抱很大希望。 Because catches up with the Goldbach's conjecture to show that perhaps that special time point, the entire mathematics circles does not have a professor, Professor land compared with Princeton „popular”. 因为赶上哥德巴赫猜想证明那个特殊的时间点,整个数学界恐怕没有一个教授,比普林斯顿的陆教授更“热门”。 After all that is the Goldbach's conjecture. 毕竟那可是哥德巴赫猜想。 Once perplexed Gauss, Euler, received widespread attention the theory of numbers imperial crown. 曾经难住了高斯、欧拉,备受人们瞩目的数论皇冠。 With academic circle great distance long distance «Character», threw the line of sight of attention to the mathematics circles. 以至于与学术界相隔十万八千里的《人物》杂志,都向数学界投来了关注的视线。 Stands by Academician stretch/open, is manager Professor Fu Lei of Shiing-Shen Chern math research institute. 站在张院士旁边的,是陈省身数学研究所的所长付磊教授。 Compares Academician stretch/open, this manager obviously is slightly young, in the China mathematics circles is also an influential big cow. 相比起张院士,这位所长稍显年轻一点,不过在华国数学界也是一位颇具影响力的大牛。 Just like research differential Geometry Academician stretch/open, this Manager pay the main research direction similarly is not the theory of numbers domain, but is the group theory, but this does not hinder him to understand the academic value of this paper. 与研究微分几何的张院士一样,这位付所长主要研究方向同样不是数论领域,而是群论,但这并不妨碍他理解这篇论文的学术价值。 Silent some little time, Professor pay asked. 沉默了好一会儿,付教授问道。 „You said that this paper...... is really his student writes?” “你说这论文……真的是他的学生写出来的吗？” Academician stretch/open smiles, „not so? Also who is so natural, gives the student own research results?” 张院士是笑了笑,“不然呢？还有谁这么大方,把自己的研究成果送给学生？” About recognizing of research results, this involves the academic ethics the issue. 关于研究成果的认定,这涉及到学术道德的问题。 Generally speaking, does not rob the research results of student, has the moral integrity teacher. 一般而言,不抢夺学生的研究成果,已经是相当有节操的导师了。 As for the dishonest exaggerating student's work in research, gives the student own research results in turn...... 至于不诚实的夸大学生在研究中的工作,反过来将自己的研究成果送给学生…… As long as the normal person, will not do that. 但凡正常人,都不会这么做。 Although understands this point, but Professor pay cannot bear say: „But I a little do not think clearly, you said that since his student can do, why he don't do?” 虽然明白这一点,但付教授还是忍不住说道:“可是我有一点想不明白,你说既然他的学生都能做出来,为什么他不自己做？” „This thing do not want is too many, regarding that talent, you cannot guess with the logic of normal person,” Academician stretch/open smiles , to continue, „perhaps to him, this issue is unable to arouse his interest purely, therefore then gave the student to do.” “这东西你也别想太多,对于那种天才,你不能用正常人的逻辑去揣测,”张院士笑了笑,继续说,“也许对于他来说,这种问题只是单纯地无法引起他的兴趣,于是便交给学生去做了。” Manager pay a face does not believe that because this sounded too unthinkable. 付所长一脸不相信,因为这听起来太匪夷所思了点。 Collatz conjecture is not other thing. 角谷猜想可不是别的东西。 Although studies its person is not many truly, but pays attention to its person to be many. 虽然真正研究它的人不多,但关注它的人却不少。 He engages in introspection, trading to do is oneself, does not move is completely impossible. After all had this result, so long as the age and qualifications enough, the operation, mixed the Yangtze River scholars slightly, and even the title of academician is not a problem completely. 他扪心自问,换做是自己,完全不动心是不可能的。毕竟有了这份成绩,只要年龄和资历都够了,稍加运作的话,混个长江学者、乃至院士的头衔完全不成问题。 Looked paid on the long face does not believe that Academician stretch/open smiles, has not explained anything. 看出来了付所长脸上的不相信,张院士只是笑了笑,却也没有解释什么。 After all the kind of person who he said that exists in the history of mathematics, and has many. 毕竟他说的这类人,在数学史上还是存在的,而且还有不少。 For example Grothendieck, for example Hilbert...... 比如格罗滕迪克,比如希尔伯特…… Extraordinary personality who they without exception, can be written down the world mathematics history rank. 他们无一例外,都是能够被载入世界数学史级别的伟人。 Created an extraordinary personality of time compared with these, perhaps Lu Zhou also falls far short, but has not had the opportunity to arrive that step. After all he in the talent that this age shows, has arrived made the degree that one stares dumbfounded, but his future road will also have long is very long...... 比起这些创造了一个时代的伟人,或许陆舟还差得远,但也未尝没机会走到那一步。毕竟他在这个年龄展现出来的天赋,已经到了令人瞠目结舌的程度,而他未来的路还有很长很长…… Stopped the moment, Academician stretch/open said with a smile. 停顿了片刻,张院士笑着说道。 „It is not interested is normal, I also heard, recently Professor land was studying a big project. In comparison, Collatz conjecture is actually nothing.” “不感兴趣是正常的,我也只是听说,最近陆教授正在研究一个大项目。相比之下,角谷猜想却是算不了什么。” „Even does Collatz conjecture have no way in comparison?” Fu Lei gawked slightly, knits the brows saying that „is what chemistry? Physics and so on issue?” “连角谷猜想都没法与之相比？”付磊微微愣了下,皱眉道,“难道又是什么化学？或者物理之类的问题吗？” Academician stretch/open hehe smiles: „Has no relations with the chemistry, a little relates with the physics actually, but relates is actually not very big.” 张院士呵呵笑了笑:“和化学没什么关系,和物理倒是有点关系,不过关系其实也不是很大。” Fu Lei cannot bear ask: „What is?” 付磊忍不住问道:“到底是什么？” „The existence and smooth issue about ns soluation of equation,” looks at out of the window that a face is charmed, Academician stretch/open said with the sigh with emotion tone, „is also one of seven big millennium difficult problems we said.” “关于ns方程解的存在性和光滑性问题,”一脸神往的看着窗外,张院士用感慨的语气说道,“也就是我们所称的七大千禧难题之一。” A Fu Lei face shocks. 付磊一脸震撼。 Crossed some little time, he difficult opens the mouth. 过了好一会儿,他才艰难开口。 „...... He as strong as this degree?” “……他已经强到了这种程度吗？” „Otherwise?” Dean stretch/open smiles, „, or you felt, the country the natural sciences first prize, will make an exception to confer 20-year-old young people?” “不然呢？”张院长笑了笑,“要不你觉得,国家会把自然科学一等奖,破例颁给一个20多岁的年轻人吗？” He also heard. 他也只是听说。 Before the science and technology encouragement congress starts, the leadership of technical department once to the higher authority expostulation, thinks that should not issue this natural sciences first prize carelessly. 在科技奖励大会开始之前,科技部的领导曾经向上级谏言,认为不应该这么草率地颁发这个自然科学一等奖。 After all a 20-year-old prize-winner, was not only full of too many uncertainty, pushed down several years old average ages of prize-winner directly. 毕竟一个20多岁的获奖者,不但充满了太多的不确定性,更是将获奖者的平均年龄直接拉低了好几岁。 However the final result, everyone saw, the high level decides to issue this natural sciences first prize finally. 然而最终的结果,所有人都看到了,高层最终还是决定颁发这个自然科学一等奖。 As for reason, many rumors. 至于原因,有很多传言。 And the credibility highest, spreads the most widespread rumor in the academic circle, was also had the academic circle person it is said afterward to the high-level expostulation, thinks that appraised the committee to break this precedent bravely. 其中可信度最高、在学术界流传最广泛的传言,便是据说后来又有学术界的人士向高层谏言,认为评奖委员会应该勇敢地打破这个先例。 As for convinced the high-level reason finally, only had one. 至于最终说服高层的理由,只有一个。 That was International Mathematical Union that spreads the wind sound/rumor rarely, Fields of August rewarded, over 90% probabilities will issue to Professor land who was invited to participate in one hour of report. Not only when so, he also obtained the favor of Professor Nobel Prize in Chemistry winner Aitre in Germany, he will finish the nomination of this year's Nobel Prize in Chemistry if as expected. 那便是国际数学家联盟那罕见地传出了风声,8月份的菲尔茨奖,有九成以上的概率会颁发给受邀参加一小时报告的陆教授。不只是如此,他在德国时还获得了诺贝尔化学奖得主埃特尔教授的青睐,不出意外的话他将获得今年的诺贝尔化学奖的提名。 Regarding scholar who this created the miracle continuously, even if Academician stretch/open cannot believe that he can solve the millennium difficult problem in that legend, cannot bear believe that he can achieve. 对于这样连续创造了奇迹的学者,即便张院士不敢相信他能解开那个传说中的千禧难题,也忍不住去相信他能做到。 Because of this name, always appears along with the miracle together. 因为这个名字,总是伴随着奇迹一起出现。 „......, if can invite our research institute to be good this good person.” Silent for a long time, Professor pay says with emotion in a soft voice. “……如果能把这种牛人请来我们的研究所就好了。”沉默了许久,付教授轻声感慨道。 Naturally, he is also under yy. 当然,他也就是yy下。 If Professor land returned to homeland, gone definitely by research institute of own name name. 陆教授若是回国了,去的肯定是以自己名字命名的研究所。 Opens the big Shiing-Shen Chern math research institute like them, like water wooden Qiu to become tung oil tree math center such...... 就像他们开大的陈省身数学研究所,就像水木的邱成桐数学中心那样…… Listened to the words of manager, Academician stretch/open haha smiles, „do not think, that immortal, our small temples definitely did not invite. However his student, we can try under the contact.” 听了所长的话,张院士哈哈笑了笑,“别想了,那尊神仙,咱们这座小庙肯定是请不来的。不过他的学生,我们还是可以试着联络下的。” Professor pay: „Is your meaning?” 付教授:“您的意思是？” Exchanged the earnest tone, Academician stretch/open continues saying: „I will write a letter to above, recommend to arrange the lists of 1000 Plan the name of Qin mountain......” 换上了认真的语气,张院士继续说道:“我会向上面写信,推荐将秦岳的名字安排进千人计划的名单……” „Regardless of he is the plan returns to homeland to study continues to pursue advanced studies, we can start to prepare ahead of time!” “无论他是打算回国研究还是继续深造,我们都可以提前开始做准备了！”