National Top Stream
Chapter 90 Hesitation
Zhuang Weiran was in a state of being stunned, what is going on now, even this gentleman who is in the ward knows that he is short of money.Now the whole world knows that Zhuang Weiran is short of money.But the problem is that he really has not reached the point where he is short of money.
The old man continued on his own, "I heard that you are going to make the connection between the arithmetic properties of Abelian clusters and calculation formulas, because you are too short of money, so you want to raise money?" He tremblingly thought Wanting to take a sip of water, Zhuang Weiran hurriedly picked up the water glass.
When this gentleman spoke just now, he did not take a deep breath, but now he is breathing heavily.
Zhuang Weiran's face was flushed, and when he met someone, he said that he was short of money.He needs money, but it's not really lacking to this extent.When the money was really short, no one cared about it.On the contrary, now, it is just a rumor that he may be short of money, and it is so widely spread.Zhuang Weiran couldn't tell the difference, was it because of his good academic performance that he was really... famous?Even if there is a lack of money, how long has it been? The gentleman in the ward has already heard about it.
Can't believe it's true.
The most interesting thing is that this gentleman has ignored world affairs for so many years.He could still clearly know that he was short of money.It is enough to see that Zhuang Weiran's lack of money is probably the consensus of the entire academic circle.
Zhuang Weiran took a deep breath, he felt very embarrassed now, maybe he will come see this gentleman again tomorrow.
"Sir." Zhuang Weiran's face flushed very red, "I'll see you tomorrow."
"Okay." He has closed his eyes and is recuperating, "It's just right, I need to rest, come early tomorrow."
"Thank you, sir." Zhuang Weiran stood up, bowed slightly to him, then turned around and left the room lightly, closing the door.
Professor Cuomo asked with a smile, "Professor Zhuang, how is it, sir?"
"Mr.'s spirit is not very good, and needs to be raised." Zhuang Weiran sighed, "I hope Mr. is fine."
Cuomo also sighed softly, but they all knew very well that this gentleman might not last long.
"Mr. Cuomo, I'm leaving first." Zhuang Weiran nodded slightly at him, "I'll see you tomorrow, sir."
Just as he was about to leave, Zhuang Weiran turned around, looked at Cuomo, and asked in a helpless tone, "Mr. Cuomo, who told you about my lack of money?"
Cuomo was stunned, and then said with a smile, "Mr. found out by himself."
"..." Zhuang Weiran stopped talking, turned around and left, his face flushed uncomfortably.It seems that he is already a global social death. I really didn't expect that he would make such a big oolong.
It is better to go back and think about how to do academic problems next. Asking that gentleman about kac-oody algebra today gave Zhuang Weiran a lot of insights, and he was right.Indeed, Zhuang Weiran's comprehension and insight in mathematics are unparalleled.The question asked this afternoon is not particularly difficult.But Zhuang Weiran thought of many things from it.
Perhaps adding ring theory and module theory, Zhuang Weiran wants to try to see if he can extend Crocker's theorem to any algebraic rational field.
Back at the hotel, closed the door, and began to write at the desk.
At night, when he felt hungry, it was almost morning.After calling the front desk and asking them to bring up some food, Zhuang Weiran continued to write.
He planned to make some things in the past few days and show them to this gentleman before leaving France.Maybe the gentleman can give me some pointers.
In the field of algebra and geometry, Zhuang Weiran would like to call that gentleman the strongest.
Void Pope - Grothendieck.
This gentleman has left extremely valuable wealth for global mathematics and theoretical physics. Although many monographs have been destroyed by him, it is undisputed.Everyone is walking along the road that Mr. Pope walked.No one can bypass this professor, he is the founder of modern geometry and algebra.
Without him, there would be no algebra and geometry, and many other things would not be able to develop.
Zhuang Weiran put down the pen, moved his hand, then took the pen and continued to write on the draft paper.
"Knock, knock, knock" until the waiter brought the food to the door, Zhuang Weiran opened the door and put the food on the table, probably because of his happiness, he became interested.I took a photo of the food and the draft beside it, then opened the scarf——
[Running snail Xiaoran: I saw that gentleman today, so much so that I almost forgot to eat, eat first, and then rest! [Image] [image]】
[The gentleman?Who is the boss talking about? 】
[The boss is positioned in France?The boss is now in France! 】
[There are not many people who can be called Mr. Zhuang, right? 】
[I don’t know much about their academia, what does it mean to see that gentleman? 】
[Don't tell me who it is? 】
[Pay attention to the reminder on Mr. Zhuang's mobile phone! 】
[Did the boss who understands come to decrypt it?Is there a hint on Mr. Zhuang's bib?I watched for a long time, but I didn't see it. 】
[Pay attention to the draft paper next to the boss, I have vaguely guessed who the boss is going to see. 】
[Burning Ruiming: Who did you see? 】
【Ah, Officer He is here too, is he here to see my brother? 】
[Almost forgot that Police Officer He and Mr. Zhuang are brothers [laughing and crying]]
[Pope of the Void, Mr. Zhuang’s draft is a kac-oody algebra, a Lie algebra that can be applied to mathematics and theoretical physics.The Pope is the founder of geometry and algebra. If he was in France, he should have met the Pope. 】
[Void Pope Grothendieck! 】
[Mass-energy conversion Albert! 】
[Bounty hunter Zhuang Weiran! 】
[I am very short of money Zhuang Weiran! 】
[Laughing to death, this boss has already died in the international community, does anyone else not know? 】
[hhhhhhh, I'm short of money! 】
[I heard that this boss is currently short of money, and he is planning on winning the Millennium Award. Hhhhhhh, because of lack of money, I have to do the Millennium Prize puzzle. This is probably something that only the most powerful bigwigs can do. 】
[Gan!The following is so fantasy, I can't even understand what you are talking about? 】
[Can someone explain? 】
[Okay, now that the academic circles have spread the word, this boss seems to be short of money.It should have invested in a laboratory of the Zhenxing Group. He has no money now, and he is working on the Millennium Prize puzzle.And the news came back from abroad, probably because the boss said something to Schultz when he was in Germany, and Schultz discovered it.Schultz was also very upright. He directly said in his personal blog that Mr. Zhuang is really short of money. He heard that Wall Street has already heard the news and wanted to hire Mr. Zhuang as an executive.There is also a meeting at Princeton University to increase the salary of Mr. Zhuang, which is really ridiculous. 】
[The point is that the academic circles all over the world know that Mr. Zhuang is very poor now. They paid for the hotel accommodation arranged by the Paris Academy of Sciences, and they paid for Professor Zhuang to travel.I laughed so hard, Mr. Zhuang is not only the youngest academic guru in the academic world, but also the deadliest academic guru. 】
[I'm short of money, so I want to do things like the Millennium Prize puzzle, no one except Mr. Zhuang dares to say it. 】
[You can go to the translation website to have a look, enter the keyword Schulz, and you can see the scene of Zhuang's large-scale social death!Those foreigners are still discussing seriously how much money they want to give Mr. Zhuang.The only thing that shocked me was that Mr. Zhuang was about to become chairrofessorshi instead of fullrofessorshi.It really shocked me for 100 years, maybe Mr. Zhuang is the youngest chairrofessorshi in Princeton University, right? 】
[Definitely the youngest, this news was leaked by Schultz, but people in the academic circle already knew about it.It's no secret that Princeton University has the big guy as chairrofessorshi.The annual salary alone is hundreds of thousands of dollars, this boss is really powerful. 】
[Burning Ruiming: Wait, you've made me dizzy, can someone explain to me who the Void Pope is and who Schultz is? What is chairrofessorshi? 】
[Ah, Officer He, didn't your brother tell you? 】
【Burning Ruiming: I haven't asked him yet...】
[The Void Pope is Grothendieck, known as the Pope, and the founder of modern geometry and algebra.We jokingly call it the Pope of the Void mainly because there was an article a few years ago about this great god - as if from the Void - the God of Algebraic Geometry Grothendieck. 】
[As for Schulz, his name is Peter Schulz, the youngest w3 professor at the University of Bonn, a German mathematical genius.Like Zhuang Dashen, they are both mathematical geniuses, especially in computational algebraic geometry, which can be regarded as the world's top level.Of course, I personally think that Zhuang Dashen is actually better. Zhuang Dashen’s performance in the fields of number theory, functional analysis, partial differential equations and topology is at the top level in the world. It can be seen from the sketch that Zhuang Dashen is actually He is also very knowledgeable in algebra.Personal essays, personal essays. 】
[Chairrofessor is chair professor, a professorship above fullrofessor, full professor, and can be regarded as one of the highest honors for a professorship in Lighthouse Country.Similar honors to chairrofessor include distguishedrofessor Distinguished Professor or Distinguished Professor. 】
[In other words, Mr. Zhuang is about to become one of the highest professors at Princeton University. The honor of chairrofessor is not something that any professor can get.Especially the chairrofessor of the Department of Mathematics, Princeton University is the center of mathematics in the world, to be able to win the honor of chairrofessor in that place is simply a real master! 】
[Zhuangshen is amazing! 】
[Haven't you heard?Mr. Zhuang's next problem to be solved is the connection between the arithmetic properties and analytical properties of Abelian varieties, you understand. 】
[BSD conjecture, one of the Millennium Prize puzzles. 】
[I just want to know when this big guy will be able to make it, it shouldn't be too long, right?His previous Yang-Mills problem was only about a year old, and now this thing should be even faster.Yang-Mills involves gauge field theory, but bsd is an algebraic problem. Thinking about it this way, this big guy should also be at the top level in the world in algebra, right?Otherwise, how could it be possible to directly start making bsd conjectures. 】
[Shouldn't be doing the bsd conjecture directly. He is now starting with the promotion of the Abel-field Crocker theorem in Hilbert's 23 question. I think he wants to solve this problem first, and then start to solve the bsd conjecture. 】
[Burning Ruiming: I never thought that there are so many top students on the Internet, so I called my brother. 】
He Ruiming was also wondering why there were so many top students on the Internet all of a sudden.It's probably because these people didn't talk much on the Internet before, and they chatted so happily under Zhuang Weiran's scarf because they kept meeting the same kind.
However, he was very curious about the death of his younger brother's global society. He entered the URL of the translation website, searched for the keyword - Schultz, and an article really popped up.
After clicking in, he saw the translation of Schultz's personal blog and the discussion below.
He couldn't help it, he knew it was wrong.But he really wanted to laugh so much that he couldn't hold back.Seeing Schultz say that his brother is short of money, it is so funny to discuss whether his brother is short of money because of investment failure.If he didn't know that his brother put all the money into the laboratory, he would have believed their nonsense.
After reading it for a while, he directly sent the translation to the prestige group at home.
[He Ruiming: Hahahahaha... I just realized that Rui Ning is so famous abroad
He Ruishi:? ? ?What the hell is this?
He Ruipeng: Excerpted from Schultz's personal blog, the scene of the death of Zhuang Weiran, a mathematical genius?what?
He Zhenhua: What?Something happened to Rui Ning?
He Ruishi: Hahaha He Ruining
He Ruipeng: I can't do it anymore, hahaha He Ruining, what did you do?
He Ruining: Okay, Schultz, I remember... the culprit who spread rumors
Chen Xinyao: Investment failed?
He Zhenguo: What happened to He Ruining?
He Ruishi: Fourth Uncle He Zhenguo, Rui Ning is fine, just hahahahahahahahahahahahahahahahahahahahaha I saw people say that the entire academic circle knows that Rui Ning is short of money and Wall Street wants to take this opportunity to let Rui Ning work on Wall Street
He Ruipeng: Hey, I saw that Rui Ning is going to be a professor soon?Rui Ning is this true?
He Ruining: It should be, I haven't returned to Princeton yet, I'm in France now, meeting a master
Chen Xinyao: Did you see Grothendieck?
He Ruining: Yes, I didn't expect this master to know it while lying on the hospital bed. This is the most embarrassing thing...
He Zhenguo: Who did my son see?
He Ruining: A mathematician, French, I have to visit him today, I'm cleaning up, and I have to go out to the hospital later.
Chen Xinyao: Grothendieck is known as the pope of mathematics and one of the greatest mathematicians of the [-]th century.And Sir Atiyah is also a very powerful mathematician and one of the greatest mathematicians of the twentieth century.If Rui Ning goes to England, he should also meet that Sir Atiya, right?
He Ruining: Yes, I am going to meet that knight, ah...but I never thought that I would die in a global society...
He Zhengang: It's over, Rui Ning do a good job!
He Ruiwei: Hahaha, Rui Ning Xing, I didn't expect so many people abroad to know you.
He Ruining: I went to see Mr. Pope.
...]
Seeing the cheerful atmosphere in the prestige group at home, Zhuang Weiran was really embarrassed, this publicity is really in place.It is estimated that everyone now knows that Zhuang Weiran is so short of money that he can make money by doing the Millennium Prize puzzle.Fortunately, he hasn't looked at the scarf yet, otherwise, everyone in Huaguo's academic circle knows that even the students are talking about it, which will definitely make him collapse even more.
When he came to the hospital, Zhuang Weiran specially bought a bunch of flowers, mainly because he didn't know what this gentleman liked, so let's buy a bunch of flowers to express his feelings.
Bringing flowers to the hospital, Zhuang Weiran was able to find Mr. Grothendieck's room with ease.
Knocking lightly on the door, the nurse opened it, nodded slightly to him, and walked out of the room.Zhuang Weiran walked into the room and smelled a smell of disinfectant.Put the flowers on the table, "Sir, I don't know what you like, so I bought this bunch of flowers on the street, I hope you can hope."
"Sit down." Grothendieck spoke with a trembling voice, and it seemed that speaking was very laborious.
He pointed to the chair next to him, and Zhuang Weiran sat down.Grothendieck did not speak, but handed a notebook to Zhuang Weiran.
Zhuang Weiran, who took the notebook, was still a little puzzled. After opening it, he found that these were notes written by Mr. Grothendieck when he was studying functional analysis.From 1950 to 1955, I made notes while studying the field of functional analysis in Nancy.It can be said that these gadgets are simply priceless treasures to Zhuang Weiran.He was ecstatic, and when he turned to the first page, Zhuang Weiran knew that some of the records were unpublished papers.
Diudogne once commented that Grothendieck's achievements in functional analysis were comparable to Banach, the founder of this discipline, and not inferior to Gelfand.However, Grothendieck's research on functional analysis used more methods of algebra and category theory, which was different from the mainstream view, so that these methods and results did not show their power until many years later.When we mention him today, we will first think of his pioneering contributions to algebraic geometry, but his contributions to functional analysis must not be ignored. 1
That's why Zhuang Weiran was ecstatic when he got this thick notebook and opened the first page.He has entered a bottleneck in the field of functional analysis and the like.And Grothendieck, a master figure whose achievements are comparable to Banach in the field of functional analysis, some notes he made in the field of functional analysis, perhaps to him Zhuang Weiran, is his An opportunity to break through the bottleneck in the field of functional analysis.
"I have read your papers in the field of functional analysis, and your understanding is quite in-depth." Grothendieck's voice was weak and breathless, "You must be in a bottleneck, I think, this notebook may be useful to you help."
"These are some essays I made when I was studying the field of functional analysis." Grothendieck smiled reluctantly, "I have never shown it to others."
"Zhuang, you are the first." Grothendieck himself is quite extreme in the field of functional analysis. He once said, 'functional analysis is dead'.In other words, he felt that there was nothing worth studying in this area.
The sudden appearance of Zhuang Weiran, a new star in mathematics, made Grothendieck's eyes shine.When Zhuang Weiran was born suddenly, the mathematician didn't know that he was still living in seclusion in the Pyrenees and had little contact with the academic world.He is a radical anti-pacifist and environmentalist, because his mathematical theories have been used as research on many weapons, and some corruption in the academic world has disappointed him with the entire academic world.He refused to accept the Fields Medal, the Craford Mathematics Award, etc., but it is undeniable that he is academically enough to be called the Pope of Mathematics.
For the fields of geometry, algebra and even functional analysis, many of his ideas are still not fully understood.She is like a huge mystery, waiting to be discovered by mathematicians.
Zhuang Weiran is naturally one of them. As early as when he was still in high school, he had already read the master's famous autobiography "Harvesting and Sowing" from the library. He still remembers a sentence in the book—— 'Every science, when we use it not as an instrument of power and dominion, but as an adventure in knowledge to which we have been striving throughout the ages of mankind, is nothing but such a harmony, from one period to another A period, more or less vast and rich: it presents us with subtle and delicate correspondences, as if from the void, to the different themes that occur successively in different epochs and centuries. '
This is also the origin of the Void Pope.
In fact, Grothendieck really knew that there was a boy surnamed Zhuang in mathematics when Faltings visited him in the Pyrenees.
Even though he seldom interacts with the academic world, it is impossible to completely sever interpersonal relationships.For example, these top figures in the mathematics world may sometimes visit him with questions.
But whether he will tell others is another matter.
When Faltings visited him, he brought Zhuang Weiran's thesis.At that time, Zhuang Weiran's Yang-Mills Existence and Quality Gap could only be seen on arxiv and nstl, but because Faltings, as a top foreign professor, would definitely not browse nstl, naturally he saw this on arxiv papers.
Of course, Faltins is not the first to discover this paper.Instead, he was told that someone claimed to unravel the existence and quality gap of Yang-Mills, and Faltings wanted to laugh at that time.After so many years, there are not a few people who claim to have unraveled the Yang-Mills existence and quality gaps, and published the papers on arxiv.
He didn't think that a person from Huaguo who had no reputation before could unravel the Yang-Mills existence and quality gap, and he didn't even read this paper.
He later read this paper because a professor at Princeton University read it with a curiosity.He was shocked by this paper. Zhuang Weiran's application on the limit partial differential equation has almost reached the whole world. Such a person suddenly appeared, and his performance on the limit partial differential equation is almost perfect.
Even many professors who have studied partial differential equations for a lifetime may not be as good as the author of this paper in the performance of limit partial differential equations.
He looked up the information and found that the author of the thesis turned out to be a doctoral student at Huaguo Jingcheng University, and this thesis was his doctoral thesis.
It's hard to believe that someone is doing a PhD thesis on difficult problems in mathematics and theoretical physics.In recent years, not many can be called mathematical geniuses.Before Zhuang Weiran, the most anticipated mathematical genius was Peter Schulz.Just when the eyes of mathematicians all over the world were focused on Peter Schultz, such a person appeared quietly in Huaguo.
After checking the age, the professor was even more shocked. At the age of 16, he made Yang-Mills existence and quality gaps, and his performance in partial differential equations is already at the top level in the world... He immediately recommended it to Faltings.
When Faltins read this paper with the same curiosity, he was shocked.
He admitted that he was perfectly conquered by this young man named Zhuang.The perfect application of partial differential equations and the mathematical treatment of gauge field theory all subverted his cognition.It took him half a year to verify this paper, but unfortunately, he did not find any mistakes.He was sure that this young man from Huaguo had really solved this problem.
With the printed paper, he came to see Grothendieck and gave the paper to Grothendieck as a gift.
"Mr. Grothendieck." In Faltings' words, with a very strong German accent, "I found an interesting paper."
At that time, Grothendieck did not even glance at Fartings.In his eyes, Faltins is also a very powerful young talent in mathematics, "Oh? Interesting paper?"
"Someone claimed to have unraveled the Yang-Mills existence and quality gap, and even made a unified mathematical treatment on the gauge field theory, all done by one person." Faltings explained, "At least, from the paper It can be seen from one of his works that this was done by one person.”
"Where are you from?" Grothendieck frowned slightly when he heard someone solve the Yang-Mills existence and quality gap. This problem is not only a purely mathematical problem, but also involves many theoretical physics problems. stuff, especially gauge theory.And it also requires a large number of partial differential equations and ordinary differential equations, as well as the fields of functional analysis, algebra, geometry, etc., to be able to solve this problem.
Solving this problem by one person is very nonsense in Grothendieck's view.He couldn't think of which mathematical genius he had heard of over the years could solve this problem independently.
"It's someone you haven't heard of." Faltins sat in the corner of the yard with coffee, and Grothendieck was beside him.The flowers outside the yard are blooming very brightly, and the sun is shining brightly, which makes people feel very good.
Breathing the fresh air, Faltins held a thick stack of papers, "It's a Chinese named Zhuang."
"I checked. I'm 16 years old this year. This thesis is his doctoral dissertation. You don't know Tao, a mathematician who just returned to China from the University of California, Berkeley in the lighthouse country. Many of his papers are It's more about mathematical physics."
"Oh?" Grothendieck did not accept the paper from Faltings, but sipped his coffee leisurely, "You mean, a 16-year-old boy from Huaguo untied Yang- Mills existence and quality gap?"
"If I'm not mistaken, it should be so."
Grothendieck shook his head, "No, I wouldn't believe it."
"I have studied this paper for more than half a year, and I went back and checked it many times. There was no mistake. In terms of the performance of partial differential equations, it can almost be regarded as the application of his partial differential equations, which is more accurate than that of Zhuang. perfection."
The corners of Grothendieck's eyebrows twitched slightly at the mention of Richard Feufman.
As a mathematician, he has heard of the name of the mathematical genius Richard Feufman.
"I remember that he is an expert in fluid mechanics and has made great contributions to partial differential equations." Grothendieck commented on Richard Feufman while drinking coffee.
He is indeed qualified to comment on a top mathematician in this way.
"It's just." Faltings did not hesitate, "There are still some things in this that I can't understand thoroughly. If Mr. Grothendieck is interested, you might as well take a look. I think it will give Mr. a big surprise. .”
Grothendieck put down the coffee in his hand, turned to look at Faltings, "You took his money?"
"Mister misunderstood, I don't know this person at all." Faltins shook his head, "You should know my character, if it is not a really good paper, I can't show it to you."
"Of course, you can also think that he didn't untie it, but I think this is the last gift I brought you this year, no, maybe these two years. The proof of Yang-Mills' existence and quality gap, this This paper is currently unpublished and can only be retrieved on arxiv. There are already many related discussions. Richard Feufman has done several derivations and proofs. Unfortunately, every time it shows that this 16-year-old boy , No, it should be a 17-year-old boy now, who really solved the Yang-Mills existence and quality gap. Now the whole mathematics world is talking about this matter." Faltings continued, "In fact, I also really want to go to the Chinese Congress to meet this young man. Perhaps, it may not be possible to meet him at the International Congress of Mathematicians."
Grothendieck looked at Faltings suspiciously, saw that he looked frank, and pushed the paper to his side.
After a moment of silence, Grothendieck looked at the thick stack of papers.In the end, I still took the thesis, lying on the chair, taking advantage of the refreshing wind and the beautiful sunshine, and flipped through it page by page.
Faltings didn't speak, he had never heard of this person's name - Zhuangweiran?These few words were clearly the name of the country of Hua, but he couldn't figure out what it was called.
But this paper has attracted his attention from the very beginning.
Very shocking paper, even he thinks that many old friends may not be able to write such a shocking paper.There are many references in the first part, but in the later part of the calculation, almost no references are cited.In the field of nonlinear partial differential performance, it is simply astonishing.
In this world, is there really such a person?The control of the limit partial differential equation is almost to an inhuman level.
He began to try to read this paper seriously, just as Faltings said, when he read the paper, he was obviously confused.That's right, it's just doubts. This paper clearly outlines the proof process of Yang-Mills' existence and quality gaps. The thickness of a total of several hundred pages is enough for him to look at it for a long time.
But it contains some profound ideas. Regarding the field of partial differential equations and functional analysis, he even feels that there are still many things that he cannot understand.This is very strange, and it will not be mentioned in the field of partial differential equations. He has not done too much research in this area.You must know that when he was studying mathematics, the first thing he was interested in was the field of functional analysis.In this respect, ideas that he does not understand can also appear, which make him feel like a treasure.Even in front of Faltings, he took out his notebook and began to write down all the analysis made by Zhuang Weiran in the field of functional analysis.Obviously, he wanted to learn something from Zhuang Weiran.
Faltings watched Grothendieck delving into this paper, stood up, and said to him, "Mr. Grothendieck, I think you have to admit that this is the best copy I have brought you. Gift."
Grothendieck looked at Faltings and nodded slightly. This was indeed the best gift Faltings had brought him in recent years.
"I need to study for a while." Saying this sentence is equivalent to driving away customers.Faltings has long been used to Grothendieck's weird temper, and his own temper is a bit weird.Grothendieck's temper was a bit odd, which is not surprising.
"Then sir." Faltings stood up and said goodbye to Grothendieck, "I will come to see you next time. I still have some questions about this paper and I want to ask you."
"Why don't you ask the author?" Grothendieck didn't even glance at Faltings, "I believe this author can give you a more perfect answer."
"Sir, the author is now in Huaguo, obviously I can't go to Huaguo to ask him." Faltings shook his head and said, "If possible, I would of course also want to go to Huaguo to ask the author, But obviously I have no reason to go to China."
Grothendieck took a sip of coffee, and indeed, Faltings had no reason to go to China.He doesn't have anyone very familiar with in Huaguo, "However, I will go to Huaguo next year."
"Invited by Zhang Shouwu." Faltings said with a smile, "to participate in a conference of Chinese mathematicians held in Huaguo."
"I am the judge." The conference of Chinese-American mathematicians that Faltins mentioned is the Morningside Mathematics Award, held every three years, known as the Chinese-American Fields Medal.And Faltings was invited to attend this meeting in 13.
When he visited Grothendieck in 2012, he brought Zhuang Weiran's thesis as a gift to Grothendieck.
"Great opportunity," said Grothendieck. "You can ask the author. In the field of functionals, I still need some time to understand what he means."
"It can be seen that he has an impressive talent in mathematics, perhaps the most talented person I have ever seen." Grothendieck said in a deep voice, "How should I describe it? It's like... Gauss, No, even a better mathematician than Gauss."
"Obviously, in terms of mathematics, his talent is unparalleled. Just from his papers, you can get a glimpse of one or two." After finishing speaking, Grothendieck said, "If you go to Huaguo I can meet him, please bring him a sentence, I want to know how much he still knows in the field of functional analysis."
"Okay, sir." It's a pity that Zhuang Weiran was not invited to the Morningside Mathematics Prize, and at that time, Zhuang Weiran was doing a project with Professor Tao Hanhai, so he didn't attend at all.
Faltings can be said to be very disappointed until meeting at the International Congress of Mathematicians.
Then again, after Grothendieck got this paper, he has been studying it.
He read it for a long time and sorted out a lot of things, and he sorted out all these thoughts clearly.From then on, he felt that Zhuang Weiran had almost finished his research in the field of functional analysis, and there was nothing left to study.
Then he continued to pay attention to Zhuang Weiran and asked his students and those who visited him to bring Zhuang Weiran's papers to him if they had them.These papers really refreshed Grothendieck. There are not many papers written by Zhuang Weiran, but the quality is first-class. Many papers can be read better than before.
The old man continued on his own, "I heard that you are going to make the connection between the arithmetic properties of Abelian clusters and calculation formulas, because you are too short of money, so you want to raise money?" He tremblingly thought Wanting to take a sip of water, Zhuang Weiran hurriedly picked up the water glass.
When this gentleman spoke just now, he did not take a deep breath, but now he is breathing heavily.
Zhuang Weiran's face was flushed, and when he met someone, he said that he was short of money.He needs money, but it's not really lacking to this extent.When the money was really short, no one cared about it.On the contrary, now, it is just a rumor that he may be short of money, and it is so widely spread.Zhuang Weiran couldn't tell the difference, was it because of his good academic performance that he was really... famous?Even if there is a lack of money, how long has it been? The gentleman in the ward has already heard about it.
Can't believe it's true.
The most interesting thing is that this gentleman has ignored world affairs for so many years.He could still clearly know that he was short of money.It is enough to see that Zhuang Weiran's lack of money is probably the consensus of the entire academic circle.
Zhuang Weiran took a deep breath, he felt very embarrassed now, maybe he will come see this gentleman again tomorrow.
"Sir." Zhuang Weiran's face flushed very red, "I'll see you tomorrow."
"Okay." He has closed his eyes and is recuperating, "It's just right, I need to rest, come early tomorrow."
"Thank you, sir." Zhuang Weiran stood up, bowed slightly to him, then turned around and left the room lightly, closing the door.
Professor Cuomo asked with a smile, "Professor Zhuang, how is it, sir?"
"Mr.'s spirit is not very good, and needs to be raised." Zhuang Weiran sighed, "I hope Mr. is fine."
Cuomo also sighed softly, but they all knew very well that this gentleman might not last long.
"Mr. Cuomo, I'm leaving first." Zhuang Weiran nodded slightly at him, "I'll see you tomorrow, sir."
Just as he was about to leave, Zhuang Weiran turned around, looked at Cuomo, and asked in a helpless tone, "Mr. Cuomo, who told you about my lack of money?"
Cuomo was stunned, and then said with a smile, "Mr. found out by himself."
"..." Zhuang Weiran stopped talking, turned around and left, his face flushed uncomfortably.It seems that he is already a global social death. I really didn't expect that he would make such a big oolong.
It is better to go back and think about how to do academic problems next. Asking that gentleman about kac-oody algebra today gave Zhuang Weiran a lot of insights, and he was right.Indeed, Zhuang Weiran's comprehension and insight in mathematics are unparalleled.The question asked this afternoon is not particularly difficult.But Zhuang Weiran thought of many things from it.
Perhaps adding ring theory and module theory, Zhuang Weiran wants to try to see if he can extend Crocker's theorem to any algebraic rational field.
Back at the hotel, closed the door, and began to write at the desk.
At night, when he felt hungry, it was almost morning.After calling the front desk and asking them to bring up some food, Zhuang Weiran continued to write.
He planned to make some things in the past few days and show them to this gentleman before leaving France.Maybe the gentleman can give me some pointers.
In the field of algebra and geometry, Zhuang Weiran would like to call that gentleman the strongest.
Void Pope - Grothendieck.
This gentleman has left extremely valuable wealth for global mathematics and theoretical physics. Although many monographs have been destroyed by him, it is undisputed.Everyone is walking along the road that Mr. Pope walked.No one can bypass this professor, he is the founder of modern geometry and algebra.
Without him, there would be no algebra and geometry, and many other things would not be able to develop.
Zhuang Weiran put down the pen, moved his hand, then took the pen and continued to write on the draft paper.
"Knock, knock, knock" until the waiter brought the food to the door, Zhuang Weiran opened the door and put the food on the table, probably because of his happiness, he became interested.I took a photo of the food and the draft beside it, then opened the scarf——
[Running snail Xiaoran: I saw that gentleman today, so much so that I almost forgot to eat, eat first, and then rest! [Image] [image]】
[The gentleman?Who is the boss talking about? 】
[The boss is positioned in France?The boss is now in France! 】
[There are not many people who can be called Mr. Zhuang, right? 】
[I don’t know much about their academia, what does it mean to see that gentleman? 】
[Don't tell me who it is? 】
[Pay attention to the reminder on Mr. Zhuang's mobile phone! 】
[Did the boss who understands come to decrypt it?Is there a hint on Mr. Zhuang's bib?I watched for a long time, but I didn't see it. 】
[Pay attention to the draft paper next to the boss, I have vaguely guessed who the boss is going to see. 】
[Burning Ruiming: Who did you see? 】
【Ah, Officer He is here too, is he here to see my brother? 】
[Almost forgot that Police Officer He and Mr. Zhuang are brothers [laughing and crying]]
[Pope of the Void, Mr. Zhuang’s draft is a kac-oody algebra, a Lie algebra that can be applied to mathematics and theoretical physics.The Pope is the founder of geometry and algebra. If he was in France, he should have met the Pope. 】
[Void Pope Grothendieck! 】
[Mass-energy conversion Albert! 】
[Bounty hunter Zhuang Weiran! 】
[I am very short of money Zhuang Weiran! 】
[Laughing to death, this boss has already died in the international community, does anyone else not know? 】
[hhhhhhh, I'm short of money! 】
[I heard that this boss is currently short of money, and he is planning on winning the Millennium Award. Hhhhhhh, because of lack of money, I have to do the Millennium Prize puzzle. This is probably something that only the most powerful bigwigs can do. 】
[Gan!The following is so fantasy, I can't even understand what you are talking about? 】
[Can someone explain? 】
[Okay, now that the academic circles have spread the word, this boss seems to be short of money.It should have invested in a laboratory of the Zhenxing Group. He has no money now, and he is working on the Millennium Prize puzzle.And the news came back from abroad, probably because the boss said something to Schultz when he was in Germany, and Schultz discovered it.Schultz was also very upright. He directly said in his personal blog that Mr. Zhuang is really short of money. He heard that Wall Street has already heard the news and wanted to hire Mr. Zhuang as an executive.There is also a meeting at Princeton University to increase the salary of Mr. Zhuang, which is really ridiculous. 】
[The point is that the academic circles all over the world know that Mr. Zhuang is very poor now. They paid for the hotel accommodation arranged by the Paris Academy of Sciences, and they paid for Professor Zhuang to travel.I laughed so hard, Mr. Zhuang is not only the youngest academic guru in the academic world, but also the deadliest academic guru. 】
[I'm short of money, so I want to do things like the Millennium Prize puzzle, no one except Mr. Zhuang dares to say it. 】
[You can go to the translation website to have a look, enter the keyword Schulz, and you can see the scene of Zhuang's large-scale social death!Those foreigners are still discussing seriously how much money they want to give Mr. Zhuang.The only thing that shocked me was that Mr. Zhuang was about to become chairrofessorshi instead of fullrofessorshi.It really shocked me for 100 years, maybe Mr. Zhuang is the youngest chairrofessorshi in Princeton University, right? 】
[Definitely the youngest, this news was leaked by Schultz, but people in the academic circle already knew about it.It's no secret that Princeton University has the big guy as chairrofessorshi.The annual salary alone is hundreds of thousands of dollars, this boss is really powerful. 】
[Burning Ruiming: Wait, you've made me dizzy, can someone explain to me who the Void Pope is and who Schultz is? What is chairrofessorshi? 】
[Ah, Officer He, didn't your brother tell you? 】
【Burning Ruiming: I haven't asked him yet...】
[The Void Pope is Grothendieck, known as the Pope, and the founder of modern geometry and algebra.We jokingly call it the Pope of the Void mainly because there was an article a few years ago about this great god - as if from the Void - the God of Algebraic Geometry Grothendieck. 】
[As for Schulz, his name is Peter Schulz, the youngest w3 professor at the University of Bonn, a German mathematical genius.Like Zhuang Dashen, they are both mathematical geniuses, especially in computational algebraic geometry, which can be regarded as the world's top level.Of course, I personally think that Zhuang Dashen is actually better. Zhuang Dashen’s performance in the fields of number theory, functional analysis, partial differential equations and topology is at the top level in the world. It can be seen from the sketch that Zhuang Dashen is actually He is also very knowledgeable in algebra.Personal essays, personal essays. 】
[Chairrofessor is chair professor, a professorship above fullrofessor, full professor, and can be regarded as one of the highest honors for a professorship in Lighthouse Country.Similar honors to chairrofessor include distguishedrofessor Distinguished Professor or Distinguished Professor. 】
[In other words, Mr. Zhuang is about to become one of the highest professors at Princeton University. The honor of chairrofessor is not something that any professor can get.Especially the chairrofessor of the Department of Mathematics, Princeton University is the center of mathematics in the world, to be able to win the honor of chairrofessor in that place is simply a real master! 】
[Zhuangshen is amazing! 】
[Haven't you heard?Mr. Zhuang's next problem to be solved is the connection between the arithmetic properties and analytical properties of Abelian varieties, you understand. 】
[BSD conjecture, one of the Millennium Prize puzzles. 】
[I just want to know when this big guy will be able to make it, it shouldn't be too long, right?His previous Yang-Mills problem was only about a year old, and now this thing should be even faster.Yang-Mills involves gauge field theory, but bsd is an algebraic problem. Thinking about it this way, this big guy should also be at the top level in the world in algebra, right?Otherwise, how could it be possible to directly start making bsd conjectures. 】
[Shouldn't be doing the bsd conjecture directly. He is now starting with the promotion of the Abel-field Crocker theorem in Hilbert's 23 question. I think he wants to solve this problem first, and then start to solve the bsd conjecture. 】
[Burning Ruiming: I never thought that there are so many top students on the Internet, so I called my brother. 】
He Ruiming was also wondering why there were so many top students on the Internet all of a sudden.It's probably because these people didn't talk much on the Internet before, and they chatted so happily under Zhuang Weiran's scarf because they kept meeting the same kind.
However, he was very curious about the death of his younger brother's global society. He entered the URL of the translation website, searched for the keyword - Schultz, and an article really popped up.
After clicking in, he saw the translation of Schultz's personal blog and the discussion below.
He couldn't help it, he knew it was wrong.But he really wanted to laugh so much that he couldn't hold back.Seeing Schultz say that his brother is short of money, it is so funny to discuss whether his brother is short of money because of investment failure.If he didn't know that his brother put all the money into the laboratory, he would have believed their nonsense.
After reading it for a while, he directly sent the translation to the prestige group at home.
[He Ruiming: Hahahahaha... I just realized that Rui Ning is so famous abroad
He Ruishi:? ? ?What the hell is this?
He Ruipeng: Excerpted from Schultz's personal blog, the scene of the death of Zhuang Weiran, a mathematical genius?what?
He Zhenhua: What?Something happened to Rui Ning?
He Ruishi: Hahaha He Ruining
He Ruipeng: I can't do it anymore, hahaha He Ruining, what did you do?
He Ruining: Okay, Schultz, I remember... the culprit who spread rumors
Chen Xinyao: Investment failed?
He Zhenguo: What happened to He Ruining?
He Ruishi: Fourth Uncle He Zhenguo, Rui Ning is fine, just hahahahahahahahahahahahahahahahahahahahaha I saw people say that the entire academic circle knows that Rui Ning is short of money and Wall Street wants to take this opportunity to let Rui Ning work on Wall Street
He Ruipeng: Hey, I saw that Rui Ning is going to be a professor soon?Rui Ning is this true?
He Ruining: It should be, I haven't returned to Princeton yet, I'm in France now, meeting a master
Chen Xinyao: Did you see Grothendieck?
He Ruining: Yes, I didn't expect this master to know it while lying on the hospital bed. This is the most embarrassing thing...
He Zhenguo: Who did my son see?
He Ruining: A mathematician, French, I have to visit him today, I'm cleaning up, and I have to go out to the hospital later.
Chen Xinyao: Grothendieck is known as the pope of mathematics and one of the greatest mathematicians of the [-]th century.And Sir Atiyah is also a very powerful mathematician and one of the greatest mathematicians of the twentieth century.If Rui Ning goes to England, he should also meet that Sir Atiya, right?
He Ruining: Yes, I am going to meet that knight, ah...but I never thought that I would die in a global society...
He Zhengang: It's over, Rui Ning do a good job!
He Ruiwei: Hahaha, Rui Ning Xing, I didn't expect so many people abroad to know you.
He Ruining: I went to see Mr. Pope.
...]
Seeing the cheerful atmosphere in the prestige group at home, Zhuang Weiran was really embarrassed, this publicity is really in place.It is estimated that everyone now knows that Zhuang Weiran is so short of money that he can make money by doing the Millennium Prize puzzle.Fortunately, he hasn't looked at the scarf yet, otherwise, everyone in Huaguo's academic circle knows that even the students are talking about it, which will definitely make him collapse even more.
When he came to the hospital, Zhuang Weiran specially bought a bunch of flowers, mainly because he didn't know what this gentleman liked, so let's buy a bunch of flowers to express his feelings.
Bringing flowers to the hospital, Zhuang Weiran was able to find Mr. Grothendieck's room with ease.
Knocking lightly on the door, the nurse opened it, nodded slightly to him, and walked out of the room.Zhuang Weiran walked into the room and smelled a smell of disinfectant.Put the flowers on the table, "Sir, I don't know what you like, so I bought this bunch of flowers on the street, I hope you can hope."
"Sit down." Grothendieck spoke with a trembling voice, and it seemed that speaking was very laborious.
He pointed to the chair next to him, and Zhuang Weiran sat down.Grothendieck did not speak, but handed a notebook to Zhuang Weiran.
Zhuang Weiran, who took the notebook, was still a little puzzled. After opening it, he found that these were notes written by Mr. Grothendieck when he was studying functional analysis.From 1950 to 1955, I made notes while studying the field of functional analysis in Nancy.It can be said that these gadgets are simply priceless treasures to Zhuang Weiran.He was ecstatic, and when he turned to the first page, Zhuang Weiran knew that some of the records were unpublished papers.
Diudogne once commented that Grothendieck's achievements in functional analysis were comparable to Banach, the founder of this discipline, and not inferior to Gelfand.However, Grothendieck's research on functional analysis used more methods of algebra and category theory, which was different from the mainstream view, so that these methods and results did not show their power until many years later.When we mention him today, we will first think of his pioneering contributions to algebraic geometry, but his contributions to functional analysis must not be ignored. 1
That's why Zhuang Weiran was ecstatic when he got this thick notebook and opened the first page.He has entered a bottleneck in the field of functional analysis and the like.And Grothendieck, a master figure whose achievements are comparable to Banach in the field of functional analysis, some notes he made in the field of functional analysis, perhaps to him Zhuang Weiran, is his An opportunity to break through the bottleneck in the field of functional analysis.
"I have read your papers in the field of functional analysis, and your understanding is quite in-depth." Grothendieck's voice was weak and breathless, "You must be in a bottleneck, I think, this notebook may be useful to you help."
"These are some essays I made when I was studying the field of functional analysis." Grothendieck smiled reluctantly, "I have never shown it to others."
"Zhuang, you are the first." Grothendieck himself is quite extreme in the field of functional analysis. He once said, 'functional analysis is dead'.In other words, he felt that there was nothing worth studying in this area.
The sudden appearance of Zhuang Weiran, a new star in mathematics, made Grothendieck's eyes shine.When Zhuang Weiran was born suddenly, the mathematician didn't know that he was still living in seclusion in the Pyrenees and had little contact with the academic world.He is a radical anti-pacifist and environmentalist, because his mathematical theories have been used as research on many weapons, and some corruption in the academic world has disappointed him with the entire academic world.He refused to accept the Fields Medal, the Craford Mathematics Award, etc., but it is undeniable that he is academically enough to be called the Pope of Mathematics.
For the fields of geometry, algebra and even functional analysis, many of his ideas are still not fully understood.She is like a huge mystery, waiting to be discovered by mathematicians.
Zhuang Weiran is naturally one of them. As early as when he was still in high school, he had already read the master's famous autobiography "Harvesting and Sowing" from the library. He still remembers a sentence in the book—— 'Every science, when we use it not as an instrument of power and dominion, but as an adventure in knowledge to which we have been striving throughout the ages of mankind, is nothing but such a harmony, from one period to another A period, more or less vast and rich: it presents us with subtle and delicate correspondences, as if from the void, to the different themes that occur successively in different epochs and centuries. '
This is also the origin of the Void Pope.
In fact, Grothendieck really knew that there was a boy surnamed Zhuang in mathematics when Faltings visited him in the Pyrenees.
Even though he seldom interacts with the academic world, it is impossible to completely sever interpersonal relationships.For example, these top figures in the mathematics world may sometimes visit him with questions.
But whether he will tell others is another matter.
When Faltings visited him, he brought Zhuang Weiran's thesis.At that time, Zhuang Weiran's Yang-Mills Existence and Quality Gap could only be seen on arxiv and nstl, but because Faltings, as a top foreign professor, would definitely not browse nstl, naturally he saw this on arxiv papers.
Of course, Faltins is not the first to discover this paper.Instead, he was told that someone claimed to unravel the existence and quality gap of Yang-Mills, and Faltings wanted to laugh at that time.After so many years, there are not a few people who claim to have unraveled the Yang-Mills existence and quality gaps, and published the papers on arxiv.
He didn't think that a person from Huaguo who had no reputation before could unravel the Yang-Mills existence and quality gap, and he didn't even read this paper.
He later read this paper because a professor at Princeton University read it with a curiosity.He was shocked by this paper. Zhuang Weiran's application on the limit partial differential equation has almost reached the whole world. Such a person suddenly appeared, and his performance on the limit partial differential equation is almost perfect.
Even many professors who have studied partial differential equations for a lifetime may not be as good as the author of this paper in the performance of limit partial differential equations.
He looked up the information and found that the author of the thesis turned out to be a doctoral student at Huaguo Jingcheng University, and this thesis was his doctoral thesis.
It's hard to believe that someone is doing a PhD thesis on difficult problems in mathematics and theoretical physics.In recent years, not many can be called mathematical geniuses.Before Zhuang Weiran, the most anticipated mathematical genius was Peter Schulz.Just when the eyes of mathematicians all over the world were focused on Peter Schultz, such a person appeared quietly in Huaguo.
After checking the age, the professor was even more shocked. At the age of 16, he made Yang-Mills existence and quality gaps, and his performance in partial differential equations is already at the top level in the world... He immediately recommended it to Faltings.
When Faltins read this paper with the same curiosity, he was shocked.
He admitted that he was perfectly conquered by this young man named Zhuang.The perfect application of partial differential equations and the mathematical treatment of gauge field theory all subverted his cognition.It took him half a year to verify this paper, but unfortunately, he did not find any mistakes.He was sure that this young man from Huaguo had really solved this problem.
With the printed paper, he came to see Grothendieck and gave the paper to Grothendieck as a gift.
"Mr. Grothendieck." In Faltings' words, with a very strong German accent, "I found an interesting paper."
At that time, Grothendieck did not even glance at Fartings.In his eyes, Faltins is also a very powerful young talent in mathematics, "Oh? Interesting paper?"
"Someone claimed to have unraveled the Yang-Mills existence and quality gap, and even made a unified mathematical treatment on the gauge field theory, all done by one person." Faltings explained, "At least, from the paper It can be seen from one of his works that this was done by one person.”
"Where are you from?" Grothendieck frowned slightly when he heard someone solve the Yang-Mills existence and quality gap. This problem is not only a purely mathematical problem, but also involves many theoretical physics problems. stuff, especially gauge theory.And it also requires a large number of partial differential equations and ordinary differential equations, as well as the fields of functional analysis, algebra, geometry, etc., to be able to solve this problem.
Solving this problem by one person is very nonsense in Grothendieck's view.He couldn't think of which mathematical genius he had heard of over the years could solve this problem independently.
"It's someone you haven't heard of." Faltins sat in the corner of the yard with coffee, and Grothendieck was beside him.The flowers outside the yard are blooming very brightly, and the sun is shining brightly, which makes people feel very good.
Breathing the fresh air, Faltins held a thick stack of papers, "It's a Chinese named Zhuang."
"I checked. I'm 16 years old this year. This thesis is his doctoral dissertation. You don't know Tao, a mathematician who just returned to China from the University of California, Berkeley in the lighthouse country. Many of his papers are It's more about mathematical physics."
"Oh?" Grothendieck did not accept the paper from Faltings, but sipped his coffee leisurely, "You mean, a 16-year-old boy from Huaguo untied Yang- Mills existence and quality gap?"
"If I'm not mistaken, it should be so."
Grothendieck shook his head, "No, I wouldn't believe it."
"I have studied this paper for more than half a year, and I went back and checked it many times. There was no mistake. In terms of the performance of partial differential equations, it can almost be regarded as the application of his partial differential equations, which is more accurate than that of Zhuang. perfection."
The corners of Grothendieck's eyebrows twitched slightly at the mention of Richard Feufman.
As a mathematician, he has heard of the name of the mathematical genius Richard Feufman.
"I remember that he is an expert in fluid mechanics and has made great contributions to partial differential equations." Grothendieck commented on Richard Feufman while drinking coffee.
He is indeed qualified to comment on a top mathematician in this way.
"It's just." Faltings did not hesitate, "There are still some things in this that I can't understand thoroughly. If Mr. Grothendieck is interested, you might as well take a look. I think it will give Mr. a big surprise. .”
Grothendieck put down the coffee in his hand, turned to look at Faltings, "You took his money?"
"Mister misunderstood, I don't know this person at all." Faltins shook his head, "You should know my character, if it is not a really good paper, I can't show it to you."
"Of course, you can also think that he didn't untie it, but I think this is the last gift I brought you this year, no, maybe these two years. The proof of Yang-Mills' existence and quality gap, this This paper is currently unpublished and can only be retrieved on arxiv. There are already many related discussions. Richard Feufman has done several derivations and proofs. Unfortunately, every time it shows that this 16-year-old boy , No, it should be a 17-year-old boy now, who really solved the Yang-Mills existence and quality gap. Now the whole mathematics world is talking about this matter." Faltings continued, "In fact, I also really want to go to the Chinese Congress to meet this young man. Perhaps, it may not be possible to meet him at the International Congress of Mathematicians."
Grothendieck looked at Faltings suspiciously, saw that he looked frank, and pushed the paper to his side.
After a moment of silence, Grothendieck looked at the thick stack of papers.In the end, I still took the thesis, lying on the chair, taking advantage of the refreshing wind and the beautiful sunshine, and flipped through it page by page.
Faltings didn't speak, he had never heard of this person's name - Zhuangweiran?These few words were clearly the name of the country of Hua, but he couldn't figure out what it was called.
But this paper has attracted his attention from the very beginning.
Very shocking paper, even he thinks that many old friends may not be able to write such a shocking paper.There are many references in the first part, but in the later part of the calculation, almost no references are cited.In the field of nonlinear partial differential performance, it is simply astonishing.
In this world, is there really such a person?The control of the limit partial differential equation is almost to an inhuman level.
He began to try to read this paper seriously, just as Faltings said, when he read the paper, he was obviously confused.That's right, it's just doubts. This paper clearly outlines the proof process of Yang-Mills' existence and quality gaps. The thickness of a total of several hundred pages is enough for him to look at it for a long time.
But it contains some profound ideas. Regarding the field of partial differential equations and functional analysis, he even feels that there are still many things that he cannot understand.This is very strange, and it will not be mentioned in the field of partial differential equations. He has not done too much research in this area.You must know that when he was studying mathematics, the first thing he was interested in was the field of functional analysis.In this respect, ideas that he does not understand can also appear, which make him feel like a treasure.Even in front of Faltings, he took out his notebook and began to write down all the analysis made by Zhuang Weiran in the field of functional analysis.Obviously, he wanted to learn something from Zhuang Weiran.
Faltings watched Grothendieck delving into this paper, stood up, and said to him, "Mr. Grothendieck, I think you have to admit that this is the best copy I have brought you. Gift."
Grothendieck looked at Faltings and nodded slightly. This was indeed the best gift Faltings had brought him in recent years.
"I need to study for a while." Saying this sentence is equivalent to driving away customers.Faltings has long been used to Grothendieck's weird temper, and his own temper is a bit weird.Grothendieck's temper was a bit odd, which is not surprising.
"Then sir." Faltings stood up and said goodbye to Grothendieck, "I will come to see you next time. I still have some questions about this paper and I want to ask you."
"Why don't you ask the author?" Grothendieck didn't even glance at Faltings, "I believe this author can give you a more perfect answer."
"Sir, the author is now in Huaguo, obviously I can't go to Huaguo to ask him." Faltings shook his head and said, "If possible, I would of course also want to go to Huaguo to ask the author, But obviously I have no reason to go to China."
Grothendieck took a sip of coffee, and indeed, Faltings had no reason to go to China.He doesn't have anyone very familiar with in Huaguo, "However, I will go to Huaguo next year."
"Invited by Zhang Shouwu." Faltings said with a smile, "to participate in a conference of Chinese mathematicians held in Huaguo."
"I am the judge." The conference of Chinese-American mathematicians that Faltins mentioned is the Morningside Mathematics Award, held every three years, known as the Chinese-American Fields Medal.And Faltings was invited to attend this meeting in 13.
When he visited Grothendieck in 2012, he brought Zhuang Weiran's thesis as a gift to Grothendieck.
"Great opportunity," said Grothendieck. "You can ask the author. In the field of functionals, I still need some time to understand what he means."
"It can be seen that he has an impressive talent in mathematics, perhaps the most talented person I have ever seen." Grothendieck said in a deep voice, "How should I describe it? It's like... Gauss, No, even a better mathematician than Gauss."
"Obviously, in terms of mathematics, his talent is unparalleled. Just from his papers, you can get a glimpse of one or two." After finishing speaking, Grothendieck said, "If you go to Huaguo I can meet him, please bring him a sentence, I want to know how much he still knows in the field of functional analysis."
"Okay, sir." It's a pity that Zhuang Weiran was not invited to the Morningside Mathematics Prize, and at that time, Zhuang Weiran was doing a project with Professor Tao Hanhai, so he didn't attend at all.
Faltings can be said to be very disappointed until meeting at the International Congress of Mathematicians.
Then again, after Grothendieck got this paper, he has been studying it.
He read it for a long time and sorted out a lot of things, and he sorted out all these thoughts clearly.From then on, he felt that Zhuang Weiran had almost finished his research in the field of functional analysis, and there was nothing left to study.
Then he continued to pay attention to Zhuang Weiran and asked his students and those who visited him to bring Zhuang Weiran's papers to him if they had them.These papers really refreshed Grothendieck. There are not many papers written by Zhuang Weiran, but the quality is first-class. Many papers can be read better than before.
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