Great Country Academician

Chapter 192 Xu-Hodge Theorem

On the second day after the report meeting, a luxurious lineup of reviewers composed of six Fields Medalists officially started reviewing papers.

At the same time, all the top journals in the mathematics world have also come to the door.

The editors or editors-in-chief of the major journals of "Annual of Mathematics", "New Advances in Mathematics", and "Acta Mathematica" came to their door with gifts, with only one purpose, that is to ask Xu Chuan to send this proof paper of Hodge's conjecture to their journals superior.

This is probably one of the rarest situations in mathematics, where high-ranking journals are chasing mathematicians.

For an ordinary mathematician, it is undoubtedly quite difficult to publish an article in a top journal like "Annual of Mathematics".

There are actually quite a lot of unspoken rules in academia.

In the academic circle, it’s not just about how good your articles are in terms of mathematics and donations. Every journal (especially the top journals) has its own circle. As long as there is a circle, there will be people inside the circle talking. Way.

If your article does not conform to that style of speaking, and your academic contribution is not considered rare, rejection is a normal result.

As for how to enter this circle, it has something to do with the tutor, the school and other aspects.

For example, the Annals of Mathematics is jointly operated by Princeton University and the Princeton Institute for Advanced Study.

For mathematicians of the Princeton School, this is the most accessible top-level mathematics journal.

Otherwise, there wouldn't be so many people eager to go to top schools like Princeton to study and teach.

For normal people, this is the fastest way to reach the top academic circle.

Of course, for Xu Chuan, it doesn't make any sense to have a circle or not.

Forging iron still needs to be hard on your own. With his academic achievements, no journal will refuse.

Xu Chuan had no intention of dealing with these periodicals that came to him.

If there are no surprises in the proof paper of Hodge's conjecture this time, he will probably still choose to submit to the "Annual Journal of Mathematics".

On the one hand is the relationship between the Annals of Mathematics and Princeton. On the other hand, he has had many cooperative relationships with the other party before, and the cooperation is quite pleasant.

Moreover, "Annual of Mathematics" is also one of the four major journals, and it will not insult this paper.

Perhaps in the future, he will be able to establish his own top journal, but now he does not have that ability.

The establishment of a top-level journal is not so easy. From operation to review and editing, to contributors and social influence, it takes a very long time to improve bit by bit.

Now he is not qualified enough, even if a journal is established, there will be no one to contribute.

At his current age, it is most important to focus on learning and self-improvement.

And he doesn't have the same thoughts now. When these journals came to him, it was the time when his paper was reviewed by six Philippine award bosses.

After the report meeting, and the formal review of Hodge's conjecture proof paper, Xu Chuan was busy dealing with various questions raised by these bigwigs, and he had no free time almost every day.

This is completely different from the previous proof of the Weyl-Berry conjecture.

When proving Weyl-Berry's conjecture, it took more than ten days of review time, and he was only a little busy in the first few days, which proved that the paper was successfully understood by the big bosses of the review team. It can be said to be quite leisurely.

But this time Hodge guessed that he was so busy that he wished he could split himself into two.

At the same time, the news that he proved Hodge's conjecture was also sent across the ocean to the other side of the earth.

Due to the fact that the thesis has not yet passed the verification of the mathematics community, the official media did not conduct large-scale and extensive reports, and only briefly mentioned it in the daily news.

But even so, it was still noticed and picked up, and posted on the Internet, which aroused heated discussions among many people.

[One year later, the number one student in the college entrance examination made another move, and this time it hit Hodge's conjecture among the seven millennium problems! 】

[Fuck, isn't it? ! 】

[What is Hodge's guess? Never heard of this stuff. 】

[Upstairs, you just need to know that this is an awesome math problem. 】

[Baidu, the question is called 'On non-singular complex projective algebraic varieties, any Hodge class is a rational linear combination of algebraic closed-chain classes', what the hell is this? I know every word, but I can't understand it together. 】

[The most incomprehensible topic among the seven millennium problems, without a postdoctoral degree, can't even understand the topic. 】

[The boss is awesome. 】

[It hasn't been proven yet, and the peer review has not passed, so I celebrated with red wine. If it is proved or denied in the end, it will be slapped in the face. 】

[Upstairs, I really can't eat grapes and say grapes are sour. In addition, that is not called red wine, but champagne! Please read with me: champagne. 】

[What people said is correct, the peer review is indeed too bad, the celebration is so early, and it is interesting to be slapped in the face at the end. 】

[Heh, at the report meeting, he conquered mathematicians all over the world. Even Pierre Serre said that this is an excellent achievement, but he couldn't conquer the group of you who don't even understand the meaning of the title. zz, this is really interesting. 】

The discussion on the Internet is getting more and more heated, but for the mathematics community, this has no effect.

As early as when Xu Chuan threw his paper on arxiv, the mathematics world had already experienced a collective earthquake.

This report will be over, it's just fueling the flames.

Before the peer review is completely over and the dust settles, with the nature of domestic mathematics circles and official media, there will certainly not be a large-scale publicity.

However, what is certain is that all major media, from CTV to Renren Daily to New Youth, have already made preparations.

As long as the dust settles, this huge propaganda machine will be activated for this purpose.

Not only the media, the proof of Hodge's conjecture has been officially paid attention to by the upper-level political circles.

Except for a few people, others don't know what kind of changes this attention will bring to the country.

This represents not only a mathematical conjecture, a Fields Medal, but also represents the world's top academic level.

And Huaguo has been short of such a scholar for a long time.

Xu Chuan, who is far away in Princeton, is not sure about the domestic reviews. He is currently busy with peer reviews.

I have to say that the world of mathematics is really a place where crouching tigers hide dragons.

Although his two mentors, Deligne and Witten, had verified his thesis in advance, during the review, many imperfections were still found.

Among them, Professor Faltings from the Germanic countries raised the most serious problems and required time-consuming revisions.

This big cow who used algebraic geometry to complete the proof of Model's conjecture raised a rather tricky question about the use of projective clusters in the paper.

This is something neither Deligne, Witten, nor himself noticed.

I have to say that this old man from the Germanic country is really admirable for his mathematical ability and rigor in mathematics.

Of course, if you just ask questions, that's not the case.

But this old gentleman not only raised questions, but also gave two modification methods in almost completely different directions.

Although all roads lead to Rome, there are two completely different methods for such a top mathematical problem, which shows that the old gentleman's mathematical strength is really powerful.

In fact, this is exactly the case. In the entire algebraic geometry field, since the death of his grandfather Grothendieck, Faltings is now vaguely known as the first person in the algebraic geometry field.

And considering the status of algebraic geometry in today's mathematics field, it is not too much to say that he is the number one person in today's mathematics field.

For this evaluation, in fact, many people do not understand it.

Because Faltings' contribution to the mathematics world does not have a well-known theory that is too familiar. Perhaps the one who is a little more familiar is that he proved the Model conjecture.

But it is not uncommon for Mathematicians to be at the same level as Model's conjecture or even more famous.

For example, Professor Deligne proved Weil's conjecture, Professor Wiles proved Fermat's Last Theorem, Perleman proved the Poincaré conjecture, and so on.

From this point of view, Faltings does not seem to be able to rank very well.

But the recognition of a person's mathematical ability by the mathematics community is not just from proving a certain mathematical conjecture.

Although this does occupy a large proportion, the tools and methods in proving mathematical conjectures, as well as the number of mathematical results and contributions to the mathematical community are more critical things.

And this old man is the one who created tools and methods. He almost perfectly found a way to combine algebra and analysis, and used it to create great value.

For example, he previously obtained the method of arithmetic algebraic geometry, which was applied by Professor Andrew Wiles to the proof of Fermat's last theorem, accounting for a considerable weight.

But this time, only relying on the two methods proposed for a problem, Xu Chuan realized the powerful but almost completely different mathematical ability and talent of this old gentleman.

In today's mathematics world, if we say that each mathematical problem is like a mountain.

Generally, mathematicians solve problems by either climbing snow-capped mountains, or walking across grasslands, and finding a shortcut to go around.

When Faltins faced the mountain, he directly bulldozed the mountain or blew it up with a bomb.

He doesn't do it with skill, he does it entirely with strength, he's that type of power player.

It is very ignorant to say this, but it is Xu Chuan's greatest understanding of this old gentleman.

This conceited and arrogant old man from Germany opened the door to a new world for him by relying on only one problem and two solutions to the use of mathematical tools, which made him feel deeply.

After spending a few days and referring to the opinions of some reviewers Faltins who raised questions, Xu Chuan successfully completed the revision of the paper

Fortunately, this problem is not so fatal, nor did it cause nearly a year of trouble like Wiles who proved Fermat's last theorem.

With the revised paper, Xu Chuan found Professor Faltings again and handed him the paper in his hand.

For him to finish the revision of the thesis so quickly, the old gentleman didn't show any surprise, as if it should be so, he took the paper lightly and read it.

It wasn't until the revised thesis caught his eyes again that the arrogant Germanic old man had a flash of surprise in his eyes, sat up straight, and became serious.

After more than ten minutes, Faltins put down the paper in his hand, looked up at Xu Chuan, and said lightly: "Congratulations, you have completed the revision of the paper. I have no other opinions and comments on the part I am in charge of reviewing." question."

"Deligne's evaluation of you is correct. You are indeed one of the best mathematicians in the world, not weaker than Schulz, and hopefully surpassing me."

After a pause, the old gentleman continued: "Of course, there is only hope."

Hearing this, Xu Chuan almost suffocated without raising his breath.

It was rumored that this old gentleman had a bad personality, and there was nothing wrong with his conceit and arrogance. He was simply the king of bullies.

However, he knows some rumors about the best mathematicians in Faltings' mouth.

The old gentleman once commented on Peter Schulz in this way: "He is one of the three best mathematicians I have ever seen in my life, and I hope to surpass him."

Many people in the mathematics world know this rumor.

They speculated on who the other two were. Some said it was Grothendieck and Jean-Pierre Serre; others said it was Deligne and Terence Tao.

But Faltings never responded positively to this matter.

But no matter what, allowing this arrogant and arrogant old man to make such an evaluation shows the excellence of the person involved.

Now he has also won such an honor: "There is hope to surpass him!"

Regarding this evaluation, Xu Chuan really didn't know whether to be angry or laugh, and finally had nothing to say.

It can only be said that in the realm of pretending to be beta, he is really far inferior to this boss, and it is even difficult to look behind him.

After all, he himself is not very good at pretending to be beta.

Time passed day by day, and in the third week after the start of the peer review, the review team composed of six Fields Medalists spent more than 20 days finally completing the review of the papers divided into six parts.

At the Institute for Advanced Study in Princeton, Xu Chuan received a call and came to the office of Charles Fefferman, director of the Department of Mathematics at Princeton University.

With a bright smile on his face, the hidden NPC from Princeton University gave Xu Chuan a big hug.

"Congratulations, the proof paper for Hodge's conjecture has passed peer review."

"From today, Hodge's conjecture will be officially promoted to a theorem, and we have a perfect tool that can construct any H object from geometric objects in a purely algebraic way."

On the other side, the editor-in-chief of the "Annual of Mathematics", Professor Camillo de Leles also smiled and congratulated: "Dr. Xu Chuan, your paper will be published in the next issue of "Annual of Mathematics". "

"At the same time, we will also publicize this great success in advance to let more people know."

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