About the unification of algebra and Geometry, is a long-standing topic. 关于代数与几何的统一,已经是一个由来已久的话题了。 In fact, this is not an actual research direction, even is the general trend of mathematical subject development is „running counter”. 事实上,这并不是一个实际存在的研究方向,甚至是和数学这门学科发展的大趋势是“背道而驰”的。 After all well-known, most divisions/disciplines enter the profundal zone with the research from shallow water, the branch of research like the twig in shrubbery, is prosperous, is complex. 毕竟众所周知,绝大多数的学科随着研究从浅水区进入到深水区,研究的分支就会像灌木丛中的枝杈一样,越是繁荣,便越是复杂。 Mathematical subject development the present is also the same. 数学这门学科发展到现在也是一样的。 If two centuries ago can also find the scholar who the Gauss like this versatile and entire domain is skilled, then to the present Terence Tao such iq230 talent, can still achieve versatile within limited range even merely, as well as familiarity within limited range. 如果说两个世纪前还能找到高斯这样的全能且全领域精通的学者,那么到了现在即便是陶哲轩这样iq230的天才,也仅仅只是能够做到有限范围内的全能,以及有限范围内的精通而已。 But regarding most people, let alone can achieve to be skilled, can comprehensively master knowledge on some direction, and makes certain achievement above this, is the scholar who can assume sole responsibility for an important task. 而对于大多数人,别说是能够做到精通了,能够全面掌握某一个方向上的知识,并且在此之上做出一定的成果,就已经是一位能够独当一面的学者了。 Regarding the unification algebra and Geometry this huge proposition, will have similar idea besides a few talent sudden miraculous glow location, few will idle was pondering bored this type compared with proving some conjecture also wants the impractical issue, will not take this year the opening topic report of share it. 对于统一代数与几何这种庞大的命题,除了极少数的天才会突然灵光一现地产生类似的想法之外,几乎没有人会闲着无聊去思考这种比证明某个数学猜想还要不切实际的问题,更不会将它作为今年份的开题报告。 However also therefore, these only the work that can complete by the small number of people, seemed precious in the long history of mathematics. 然而也正是因此,这些只能由少数人去完成的工作,在漫长的数学史中就显得弥足珍贵了。 Reviews Descartes and Fermat's years, studies the Geometry graph through the Cartesian coordinate, people for the first time method organic union of algebra and Geometry in one. 回顾笛卡尔和费马的时代,通过笛卡尔坐标研究几何图形,人们首次将代数与几何的方法有机的结合在了一起。 Imagines, a cigarette lighter stopper to the hand of primitive man, told him, so long as can replace him to use a wooden club practical training dozens minutes of achievement according to a button, he can be what kind of surprised? 想象一下,将一只打火机塞到原始人的手中,告诉他只要按一个按钮就能代替他用木棍劳作数十分钟的成果,他会是何等的惊讶？ Although puts this is even Junior High School lives now can the knowledge of skilled utilization, but regarding then mathematics circles, stir actually it can be said that epoch-making, but analysis Geometry also therefore almost ruled mathematics circles several centuries, to 1857, a talent named Riemann put forward the algebra theory of functions, as well as in algebra Geometry history the first absolute invariant „genus”. The algebra Geometry study is born from this, finished the pattern of old time. 虽然放到现在这是连初中生都能够熟练运用的知识,但对于当时的数学界来说,这其中的轰动却可以说是开天辟地的,而解析几何也因此几乎统治了数学界数个世纪,一直到1857年,一位名叫黎曼的天才提出了代数函数论,以及代数几何史上第一个绝对不变量“亏格”。代数几何学由此诞生,才算是结束了旧时代的格局。 Will come again in the future, still has the innumerable talents to advance uninterruptedly invests into this great enterprise, unceasingly in the algebra and Geometry contributes labor and materials for this bridge of between connection. 再往后来,依然有无数的天才前赴后继地投入到这件伟大的事业中,不断为这座连接在代数与几何之间的桥梁添砖加瓦。 By the 20 th century, three big structures that Bourbaki School proposed was controlling the entire structure math, in the math any plate that had the structural feature, can be defined as by „algebraic structure” and „topology” and „foreword structure” this three big female structure constitutes. 到了二十世纪,布尔巴基学派提出的三大结构统摄着整个结构数学,数学中凡是具有结构特征的板块,均可以被定义为由“代数结构”、“拓扑结构”、“序结构”此三大母结构构成。 But Grothendieck in „generally the theory of” above this proposing, was makes algebra Geometry enter the new era, but he in that named «Algebra Geometry Study Foundation» printed lecture of discussion class, was therefore presented for the Holy Bible of secretary and educational world. 而格罗滕迪克在此之上提出的“概型理论”,更是让代数几何进入了新的纪元,而他在讨论班的那本名为《代数几何学基础》的讲义,也因此被奉为了代书记和学界的圣经。 Invents a person of novel mathematical instrument to be many, the person who founds a division/discipline are also many, but actually few person can conduct the task to connect in these complicate knowledge together, seeks for their unity. 发明一件新颖的数学工具的人不少,开创一门学科的人也不少,但却少有人能够承前启后地将这些盘根错节的知识串联在一起,从中寻找到他们的统一性。 Such that just like everyone can see clearly, the thin differentiation of division/discipline is the general trend, in the future the branch of math and will be getting more and more with the development and prosperity of this division/discipline, luxuriant growth of leaves and branches with the efforts of innumerable ordinary or extraordinary person. 正如所有人都能清晰看见的那样,学科的细分化是大势所趋,往后数学的分支会随着这门学科的发展与繁荣而越来越多,在无数平凡或不平凡的人的努力下枝繁叶茂。 Work that but similarly, these inherit, is certain some people to do good...... 但同样的,那些继往开来的工作,也一定得有人去做才行…… In fact, the new generation mathematicians after Grothendieck years, has made many attempts. 事实上,在格罗滕迪克时代之后的新生代数学家们,已经做出了许多的尝试。 For example Shinichi Mochizuki besides „universe discipline theory” another set of theory „the safe Mill theory”, then proposed one set „is unique and obscure” the method, algebraic element and Geometry element unified in one, but few people can understand him actually to do besides his student. 比如望月新一除了“宇宙纪理论”之外的另一套理论“化泰希米勒理论”,便提出了一套“独特且晦涩”的方法,将代数元素和几何元素统一在了一起,只是除了他的学生外很少有人能看懂他到底想干什么。 For example Schultz, his p enters the number and perfect spatial theory again, in recent years is gradually popular, and has been widely favored to be most likely the one of the unification algebra and Geometry theory tools. 再比如舒尔茨,他的p进数和完美空间理论,近年来正在逐渐热门,并且一直被广泛看好为最有可能统一代数与几何的理论工具之一。 However, the mathematics method is not the isolation exists, but to solve the problem is born. 不过,数学方法并非是孤立存在的,而是为了解决问题而诞生的。 But these conjectures like the touchstone, solved the actual problem truly, the mathematical instrument and method that these create can be admitted by the mathematics circles. 而那些数学猜想就像试金石,只有真正解决了实际存在的问题,那些创造出来的数学工具和方法才能被数学界接纳。 Now the Riemann hypothesis was proven, Lu Zhou without doubt is the person who the chalice above distance imperial crown most is close. 现在黎曼猜想被证明了,陆舟无疑是距离皇冠之上的圣杯最接近的人。 If like the Fermat big theorem Wyles, showed that the merit of Riemann hypothesis has pushed up the god position from the throne of the world of mortals him, if that to the previous step, touches him of chalice to be hopeful for the post- Grothendieck years again defines the new rule. 如果说就像费马大定理之于怀尔斯一样,证明黎曼猜想的功绩已经将他从凡间的王座推上神位,那么若是再向上一步,触碰圣杯的他将有希望为后格罗滕迪克时代定义新的规则。 Names this brand-new time with his name, no issue. 或者,用他的名字重新命名这个崭新的时代,也没有一点问题。 But at the same time, Lu Zhou speculated, wants to raise lv10 the mathematical rank, will step road the first level of steps to future, will complete this inheriting work also to. 而与此同时,陆舟推测,想要将数学等级提升到lv10,踏上通往未来之路的第一级阶梯,完成这一项继往开来的工作也是必须的。 Even if the system has not made any prompt temporarily, he can still feel this point clearly. 即便系统暂时没有做出任何的提示,他也能清晰地感觉到这一点。 After all, if must say that what merit can exceed the Riemann hypothesis. 毕竟,如果要说有什么功绩能够超越黎曼猜想的话。 Perhaps that also only had such a possibility. 那恐怕也只剩下这么一种可能了。 ...... …… After the public lecture ended, is to inquire the link. 报告会结束之后是提问环节。 Reason that because many papers have not gnawed, even if listened to his explanation, still required the time to digest that huge information. 因为不少人论文都还没啃完的缘故,即便是听完了他一番讲解,也还需要时间去消化那庞大的信息。 Except that Terence Tao, Schultz Station proposed beyond several interesting issues, silence that very most research area and this direction slightly far scholar display, is very discrete, even if gets up the inquiry, asked was still some and Riemann hypothesis this proposition connection not major problem. 除了陶哲轩、舒尔茨站起来提出了几个有意思的问题之外,绝大多数研究领域和这个方向稍远的学者都表现的很沉默,也很谨慎,即便是起来提问,问的也都是一些和黎曼猜想本身这个命题关联不大的问题。 For example, about him in that a few words unification algebra and Geometry that the public lecture finally says frequently, is actually what meaning? He has started to study this topic, spoke thoughtlessly merely a saying. 比如,关于他在报告会最后时刻说的那一句话统一代数与几何,究竟是什么意思？他是已经开始研究这个课题了,还是仅仅只是随口一说。 However Lu Zhou does not want to answer this issue, let alone this is also little significance with the proof of Riemann hypothesis, therefore mostly was perfunctory by him about this issue. 不过陆舟并不想回答这个问题,何况这与黎曼猜想的证明也没太大关系,所以关于这一块的问题大多都被他敷衍过去了。 However to be honest, stands in Lu Zhou that on the stage answers questions is actually very accidental/surprised, he waited so many days not to discover Professor Tao at the imu congress unexpectedly also here. 不过说实话,站在台上答疑的陆舟其实挺意外的,他在imu大会上待了这么多天都没有发现陶教授居然也在这里。 Naturally, he does not know, this Professor Tao in visiting him hung after the pre- printed book on arxiv, at the same night catches up from Los Angeles. But before then, he simply has not come the plan of St. Petersburg...... 当然,他并不知道,这位陶教授是在看了他挂在arxiv上的预印本之后,连夜从洛杉矶那边赶来的。而在此之前,他根本没有来圣彼得堡的打算…… How long inquired the link not to conduct, even finished the imagination was much quicker, amid an applause, Lu Zhou bowed slightly, ended this epoch-making public lecture. 提问环节并没有进行多久,甚至于比想象中结束的快得多,在一片掌声中,陆舟微微鞠躬,结束了这场划时代的报告会。 Also finished, this historical moment. 也结束了,这历史性的一刻。 The applause has not stood still, International Mathematical Union Secretary-General Professor Halden the hand holds one bottle of champagne to mount the platform, handed in it the hand of Lu Zhou. 掌声尚未停歇,国际数学家联盟秘书长霍尔登教授手捧着一瓶香槟走上了讲台,将它递到了陆舟的手中。 „This is the gift of Kuririn Hotel, is our intentions. Opens it, this hundred years of journey came to the end point finally, should celebrate with the good wine. But the glory of this history, is you!” “这是克林希亚酒店的礼物,也是我们所有人的心意。打开它吧,这场百年征程终于走到了终点,理应用美酒来庆祝。而这份历史的荣耀,属于你！” In an applause, Lu Zhou received the champagne, sincere place under. 一片掌声中,陆舟接过了香槟,诚恳地点了下头。 „Thanks.” “谢谢。” „Impolite...... was right, if you plan to publish your achievement in the paper, I recommend «Math Invention» to you. In fact, I suggested sincerely you do that you on have published enough many articles in «Math Yearly journal», if this had continued four big withstood/top the publication to have three to remove.” “不客气……对了,如果你打算在论文上发表你的成果,我向你推荐《数学发明》。事实上,我真诚地建议你这么做,你在《数学年刊》上已经发表了足够多的文章,如果再这样下去四大顶刊就得有三个除名了。” Latter half a word words, what Professor Halden uses is the sound that only then two people can hear said that is also the tone of cracking a joke. 后半句话,霍尔登教授用的是只有两个人能听见的声音说的,同时也是开玩笑的语气。 Listened to later Lu Zhou to stare slightly, immediately smiles to say. 听过之后陆舟微微愣了下,随即笑了笑说道。 „I will consider.” “我会考虑的。” Under everyone's gaze, Lu Zhou did according to the prompt of Professor Halden, after making an effort to sway, opened the champagne. The fragrant bubble looked like grew the wing, spurted on the ceiling, sprinkled audience that sat in the front much. 在所有人的注视之下,陆舟照着霍尔登教授的提示做了,使劲摇晃之后打开了香槟。香甜的泡沫就像是插上了翅膀,喷上了天花板,也洒了不少坐在前排的听众们一身。 Lu Zhou wants to these unfortunate fellow apologies, actually to see them, not only has not been angry, because instead was spurted one, but a face joyful, laughs is standing up and pulling the chest front moistened trace and friends shows off, on several professor faces that had not been spurted on the contrary a face envies and regret expression. 陆舟原本想对这些不幸的家伙道歉,却看见他们非但没有生气,反而因为被喷了一身而一脸欣喜、开怀大笑地站起、扯着自己胸前被打湿的痕迹和朋友们炫耀,反倒是没有被喷到的几个教授脸上一脸羡慕和懊悔的表情。 Therefore, the been sorry matter, then also gave up. 因此,抱歉的事情,遂也就作罢了。 The atmosphere reached the peak. 现场的气氛达到了顶峰。 The stem glass that hands over in the hotel staff got up one glass of good wines but actually, Lu Zhou raised glass to the audience of audience, after tossing down, the cups and remaining champagne one and gave back to Professor Halden, waved, walked toward the conference site. 在酒店工作人员递上来的高脚杯中倒上了一杯美酒,陆舟向全场的听众举杯,一饮而尽之后,将杯子和剩下的香槟一并还给了霍尔登教授,挥手致意,向会场外走去。 But at this moment, waits for the reporters outside lecture hall, had waited there for some time. 而此刻,等候在报告厅外面的记者们,早已经等候多时了。 If were not keeping off by the entrance securities, hears hears that moment of applause and whistling sound from the lecture hall, they want to clash to find out. 如果不是被门口的保安们挡着,听到从报告厅里传来掌声、口哨声的那一刻,他们就想冲进去一探究竟了。 Therefore, when the gate of lecture hall opens, sees to appear in entrance Lu Zhou, one group of reporters immediately like smelling the shark of fishy smell encircled. 因此,等到报告厅的门打开,看到出现在门口的陆舟,一群记者们顿时像嗅到了腥味儿的鲨鱼一样围了上去。 „Professor Lu Zhou, had the Riemann hypothesis been proven?!” “陆舟教授,请问黎曼猜想已经被证明了吗？！” „Will you go to the French Academy to receive Clay Institute 1 million US dollars bonus? After receiving the bonus, what will you make? Will donate the person who it needs?” “请问您会去法兰西学院领取克雷研究所的一百万美元奖金吗？拿到奖金之后您会做什么？会将它捐给需要的人吗？” „Heard that your research received your student Vera Pu according to lady's influence, is this real?” “听说您的研究受到了你的学生薇拉・普尤依女士的影响,请问这是真的吗？” „The Riemann hypothesis was solved means the rule of modern cryptology will be rewritten? Our bankcard and social account number whether already no longer safe?” “黎曼猜想被解决是否意味着现代密码学的规则将被改写？我们的银行卡和社交账号是否已经不再安全？” „Professor Lu Zhou......” “陆舟教授……” Is facing one only crazily to the microphone that he extends, with these like the issue that the bean sprinkles, Lu Zhou a few words had not replied, under escorting of one group of husky fellows, the footsteps keeps walking in the direction of elevator slightly. 面对着一只只疯狂向他伸来的话筒,和那些如豆子般洒来的问题,陆舟一句话也没有回答,在一群彪形大汉的护送下,脚步丝毫不停地朝着电梯的方向走去。 Before several minutes, the matter that transferred to another hospital has arranged. 就在几分钟之前,转院的事情已经安排下来了。 No matter gets visa other procedures, had completed. 不管是签证还是其他手续,都已经办妥。 If as expected, Vera can travel by the airplane that transfers to another hospital today, flies to from St. Petersburg directly goes to the capital, takes over the nursing work by the expert of Hospital 301. 不出意外的话,薇拉今天就能搭乘转院的飞机,从圣彼得堡直接飞往上京,由301医院的专家接手看护工作。 But flight that he returns to homeland, then before tomorrow will be morning closing ceremony . 而他回国的航班,则是明天早上的闭幕式之前。 Compared to reply that these bored issues, a lot wait for him to process...... 相比起回答那些无聊的问题,还有很多事情等着他去处理……