The day after the presentation, a luxurious team of six Fields Medal reviewers officially began to review the papers.

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

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

This is probably one of the rarest cases in the world of mathematics, where high-ranking journals run after mathematicians.

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

There are actually quite a few unspoken rules in academia.

In the academic circle, it is not very simple to look at how good your articles are in mathematics and how much money you donate, each journal (especially the top journals) has its own circle, as long as there is a circle, there is a way of speaking for people within the circle.

If your essay doesn't conform to that way of speaking, and your academic contributions aren't very small, rejection is a normal result.

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

The Annals of Mathematics, for example, is jointly run by Princeton University and the Institute for Advanced Study in Princeton.

For mathematicians at the Princeton School, this is the most accessible top math journal.

Otherwise, there wouldn't be so many people who are desperate to go to a top school like Princeton to study and teach.

For normal people, this is the fastest way to get in touch with the top academic circles.

Of course, for Xu Chuan, it makes no sense at all to have a circle or not.

Iron also needs its own hardness, and with his academic achievements, no journal will refuse.

For these journals that came to his door, Xu Chuan didn't have any thoughts to deal with them.

If there were no surprises in the proof paper of Hodge's conjecture this time, he would probably still choose to vote for the Annals of Mathematics.

On the one hand, there is the relationship between 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, the "Annals of Mathematics" is also one of the four major journals, and it will not dishonor this paper.

Maybe in the future, he can build his own top-level journal, but now he doesn't have that ability.

The establishment of a top-tier journal is not so easy, from operation to review editors, to contributors and social influence, it takes an extremely long time to improve little by little.

Now he is not qualified enough, even if he establishes a journal, no one will submit it.

At his current age, the most important thing is to focus on learning and making breakthroughs in himself.

And he doesn't have this mind now, when these journals come to the door, it is when his paper is reviewed by the six Philippine Award elders.

.......

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

This is a completely different case from the last time we proved the Weyl-Berry conjecture.

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

And this time Hodge guessed, he was too busy to crack himself into two.

At the same time, the news that proved Hodge's conjecture was transmitted across the ocean to the other side of the globe.

Due to the fact that the paper has not yet been fully verified by the mathematical community, the official media has not carried out large-scale and large-scale coverage, and only briefly mentioned it in the daily news.

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

[After a year, the top student in the college entrance examination shot again, this time impacting the Hodge conjecture in the seven millennial problems! ] 】

[Damn, isn't it?!] 】

What is Hodge's conjecture? Haven't heard of this thing. 】

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

[Bai Du for a moment, the question is called 'On a non-singular complex projective algebraic cluster, 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 read it when they are connected. 】

[The most difficult topic to be understood in the seven millennial problems, without a postdoctoral degree, I can't even understand the topic.] 】

[Big old. 】

[It hasn't been proven yet, the peer review hasn't passed, so I opened red wine to celebrate, and in the end, if it is proven, it will be a slap in the face. 】

[Upstairs, you really can't eat grapes and say that grapes are sour, in addition, it's not called red wine, it's called champagne! ] Please read with me: Xiang Champagne. 】

[People are right, peer review is indeed okay, it's interesting to celebrate so early, and finally be slapped in the face. 】

[Oh, at the report meeting, he conquered mathematicians all over the world, and even Pierre Searle said that this is a very good achievement, but he can't conquer you group of zz who can't even understand the meaning of the problem, which is really interesting.] 】

There is a growing online discussion, but it has little impact on the math community.

As early as when Xu Chuan threw the paper on Arxiv, there was already a collective earthquake in the mathematical community.

The end of this report will only add fuel to the fire.

Before the peer review is completely over and the dust settles, there will certainly be no large-scale publicity in the domestic mathematical community and the official media.

However, what is certain is that at present, all major media outlets, from CTV to Renren Daily to New Youth, are ready.

Just wait for the dust to settle, and this huge propaganda machine will be set in motion for this.

Not only the media, but the proof of Hodge's conjecture has been officially followed by the upper echelons of politics.

With the exception of a few, others do not know what kind of change this attention will bring to the country.

This represents not only a mathematical conjecture, a Fields Medal, but also a world-class academic standard.

And Huaguo has been lacking such a scholar for a long time.

.......

The domestic comments are not clear to Xu Chuan in Princeton, who is busy with peer review.

I have to say that the world of mathematics is really the place where Crouching Tiger, Hidden Dragon is.

Although his dissertation had been verified by two supervisors, Deligne and Witten, it was still found that there were many imperfections when it was reviewed.

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

The great man who had used algebraic geometry to prove the Model conjecture posed a rather tricky question about the use of projective clusters in his thesis.

This is something that Deligne, Witten, and himself have not noticed.

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

Of course, if it's just asking questions, that's not the case.

But the old gentleman not only asked questions, but also gave two ways of modifying in almost completely different directions.

Although all roads lead to Rome, there are two completely different methods for such top-notch mathematical problems, which shows that this old gentleman's mathematical strength is really strong.

In fact, it is precisely in the entire world of algebraic geometry that since the death of his grandfather Grothendieck, Faltins is now faintly the first person in the field of algebraic geometry.

And given the status of algebraic geometry in today's mathematical world, it would not be too much to say that he is the first person in today's mathematical world.

In fact, many people don't understand this evaluation.

Because Faltins's contribution to the mathematical community is not too well known and well-known. Perhaps a little more familiar is that he proved the Modell conjecture.

But it is not for nothing that the mathematical community is at the same level as the Modell conjecture and even more famous.

For example, Professor Deligne proved the Weyne conjecture, for example, Professor Wiles proved Fermat's theorem, for example, Perlehmann proved the Poincarier conjecture, and so on.

If you look at it in this respect, it seems that Faltins does not quite rank well.

But the recognition of a person's mathematical ability in the mathematical community does not come from the proof of a mathematical conjecture.

Source change app】

While this does account for a large weight, it is the tools and methods used to prove mathematical conjectures, as well as the number of mathematical achievements and contributions to the mathematical community, that are more critical.

And this old gentleman is the one who created the tools and methods, and he almost perfectly found a way to combine algebra and analysis, and created great value with it.

For example, he had previously achieved arithmetic algebraic geometry using the method, and this achievement was applied by Professor Andrew Wiles to the proof of Fermat's theorem, which accounted for a considerable weight.

And this time, relying only 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 mathematical world, if one mathematical problem is like a mountain.

The average mathematician solves the problem by either climbing a snowy mountain or walking across a meadow and finding a shortcut to get around.

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

He doesn't do it with skill, he does it entirely with power, he's the kind of power-type fighter.

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

This conceited and arrogant old man from Germain felt deeply about the use of mathematical tools, relying on only one problem and two solutions to open the door to a new world.

......

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

Fortunately, the problem was not so fatal, and it did not cause nearly a year of trouble, as Wiles, who proved Fermat's theorem.

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

The old gentleman did not have a surprised expression at the fact that he could complete the revision of the paper so quickly, as if it should have been so, and reached out to take the paper and read it.

It wasn't until the revised paper came back into his eyes that a hint of surprise flashed in the arrogant old Germanic man's eyes, and he sat up straight and became serious.

After more than ten minutes, Faltings put down the paper in his hand, raised his head to look at Xu Chuan, and said in a surging voice: "Congratulations, you have completed the revision of the paper, and I have no other comments and questions about the part I am responsible for reviewing." ”

"Déligne is right about you, you are indeed one of the best mathematicians in the world, no weaker than Schultz, and hopefully surpass me."

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

Hearing this, Xu Chuan suddenly didn't mention it in one breath and almost suffocated.

It is rumored that this old gentleman has a bad personality, and there is really nothing wrong with his conceit and arrogance, he is simply the king of the kings.

But he knew a few of the best mathematicians in Faltins' mouth.

The old gentleman once said of Peter Schultz: "He is one of the three best mathematicians I have ever met in my life, and hopefully surpasses him." ”

Many people in the mathematical community know about this rumor.

There was speculation about who the other two were, some saying it was Grothendieck and Jean-Pierre Serre; Some people say it's Deligne and Tao Zhexuan.

However, Faltins never responded positively to the incident.

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

And now he has received the honor: "Hope surpasses him!" ”

For 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 β, he is really far inferior to this elder, and it is even difficult to look at his back.

After all, he is not a very good person at pretending to be β.

......

As the days passed, three weeks after peer review began, a six-Fields Medal panel of reviewers completed the review of the six-part paper in more than 20 days.

At the Institute for Advanced Study in Princeton, Xu Chuan received a call to the office of Charles Fepferman, chair of the mathematics department at Princeton University.

The hidden NPC of Princeton University had a big smile on his face and gave Xu Chuan a big hug.

"Congratulations, the proof of the Hodge conjecture has been peer-reviewed."

"From this day forward, the Hodge conjecture will be officially elevated to theorems, and we have the perfect tool to construct any h-object from a geometric object in a purely algebraic manner."

On the other side, Professor Camilo de Lylis, editor-in-chief of the Annals of Mathematics, also smiled and congratulated: "

Dr. Chuan Xu, your paper will be published in the next issue of Annals of Mathematics. ”

"At the same time, we will also publicize this great success in advance so that more people will know about it."

.......