On the second day after the report meeting, a luxurious review team composed of six Fields Medalists officially began to review the paper.
At the same time, top journals in the mathematics world have also come to visit.
Editors or editors-in-chief of major journals such as "Annals of Mathematics", "New Advances in Mathematics" and "Acta Mathematica" came to their door with gifts, with only one purpose, and that was 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-profile journals chase 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 lot of hidden rules in academia.
In the academic circle, it is not simply about how good your articles are in mathematics or how much donations you make. Each journal (especially the top journals) has its own circle. As long as there is a circle, there will be opinions from people within the circle.
Way.
If your article does not conform to that way of speaking and your academic contribution is rare, rejection is a normal result.
As for how to enter this circle, it has something to do with tutors, schools and other aspects.
For example, the Annals of Mathematics is jointly operated by Princeton University and the Institute for Advanced Study.
For mathematicians in the Princeton School, this is the most accessible top mathematics journal.
Otherwise, there wouldn’t be so many people rushing to study and teach at top prestigious schools like Princeton.
For normal people, this is the fastest way to gain access to the top academic circles.
Of course, for Xu Chuan, it is completely meaningless to be in a circle or not.
To forge iron, you need to be hardworking. With his academic achievements, no journal will reject him.
Xu Chuan had no idea how to deal with these journals that came to his door.
If there were no surprises for this proof paper of Hodge's conjecture, he would probably still choose to submit it to the "Annals of Mathematics".
On the one hand, it 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 was quite pleasant.
Moreover, "Annals of Mathematics" is also one of the four major journals, so it will not disgrace this paper.
Maybe in the future, he can establish his own top journal, but now he does not have that ability.
It is not easy to establish a top journal. From operations to review and editing, to contributors and social influence, it takes an extremely long time to perfect it bit by bit.
He is not qualified now. Even if he establishes a journal, few people will submit articles.
At his current age, the most important thing is to focus on learning and making breakthroughs within himself.
And he doesn't have the intention now. When these journals came to visit him, it was when his paper was reviewed by six Philippine Prize bosses.
.......
After the report meeting and the formal review of the proof paper of Hodge's conjecture, Xu Chuan was busy dealing with various questions raised by these elders, and almost had no free time every day.
This is two completely different situations from the last time we proved the Weyl-berry conjecture.
When proving Weyl-Berry's conjecture, he was only slightly busy in the first few days of the review period, and the proof paper was successfully understood by the senior review team members. It can be said that he was quite relaxed.
But this time, Hodge guessed that he was so busy that he wanted to split himself into two.
At the same time, the news that he proved Hodge's conjecture also spread across the ocean to the other side of the earth.
Due to the fact that the paper has not yet been fully verified by the mathematical community, the formal media did not carry out large-scale and wide-scale reports, and only briefly mentioned it in daily news.
But even so, people still noticed it and took it out and posted it on the Internet, which aroused heated discussions among many people.
[After a year, the top scorer in the college entrance examination takes action again, this time with the Hodge conjecture among the seven millennium problems!]
[Holy shit, isn’t it?!]
[What is Hodge’s guess? I’ve never heard of this thing.]
[Upstairs, you just need to know that this is a very awesome mathematical problem. 】
[After a while, 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 they are connected together.
I just can’t understand it.】
[The most difficult question to understand among the seven millennium problems is that without a postdoctoral degree, one cannot even understand the question. 】
【Big boss is awesome.】
[It hasn’t been proven yet, and it hasn’t passed the peer review, so we are celebrating with red wine. If it is proven or not in the end, it will be a slap in the face.]
[The grapes upstairs are really sour because there are really no grapes to eat. Also, that one is not called red wine, it is called champagne! Please say to me: xiang champagne.]
[What people said is correct. I did pass the peer review. It would be interesting to celebrate so early and get slapped in the face in the end. 】
[Oh, he conquered mathematicians all over the world at the report. Even Pierre Serre said that this was an excellent result, but he couldn't conquer you people who can't even understand what the title means.
zz, this is really interesting.】
The discussion on the Internet is getting more and more heated, but for the mathematics community, this has no impact.
As early as when Xu Chuan posted his paper on arxiv, the mathematics community had already experienced a collective earthquake.
The end of this report meeting is just adding fuel to the flames.
Before the peer review is completely completed and the dust settles, due to the nature of the domestic mathematics community and official media, there will definitely not be large-scale publicity.
But what is certain is that all major media outlets, from CTV to Renren Daily to New Youth, are already well prepared.
As soon as the dust settles, this huge propaganda machine will be launched.
This chapter is not finished yet, please click on the next page to continue reading the exciting content! Not only the media, the proof of Hodge's conjecture has been officially paid attention to by the upper political circles.
Except for a few people, others still don't know what kind of changes this attention will bring to the country.
This represents not only a mathematical conjecture or a Fields Medal, but also the world's top academic level.
China has been short of such a scholar for a long time.
.......
Xu Chuan, who is far away at Princeton, is not aware of the domestic comments. He is currently busy with peer review.
I have to say that the world of mathematics is really a place of crouching tigers, hidden dragons.
Although two supervisors, Deligne and Witten, had verified his thesis in advance, many imperfections were still found during the review.
Among them, the problem raised by Professor Faltings from the Germanic country was the most serious and required time-consuming modifications.
This expert who once completed the proof of Model's conjecture using algebraic geometry methods raised a rather tricky question about the use of projective varieties in the paper.
This is something that neither Deligne, Witten nor himself noticed.
I have to say that this old man from the Germanic country is truly admirable for his mathematical ability and rigorous approach to mathematics.
Of course, if you just raise a question, that won't be the case.
But this old gentleman not only raised questions, but also gave two ways to modify it in almost completely different directions.
Although all roads lead to Rome, on this top mathematical problem, two completely different methods can be given, which shows that this old gentleman's mathematical strength is really powerful.
In fact, this is exactly the case. In the entire algebraic geometry world, since the death of his ancestor Grothendieck, Faltings is now vaguely known as the number one person in the algebraic geometry world.
Considering the status of algebraic geometry in today's mathematics world, it is not an exaggeration to say that he is the first person in today's mathematics world.
In fact, many people don’t quite understand this evaluation.
Because Faltings’ contribution to the mathematical world is not a well-known theory that is too familiar. Perhaps the one that is slightly more familiar is his proof of Model’s conjecture.
But it is not uncommon in the mathematical community that it is of the same level or even more famous than Model's conjecture.
For example, Professor Deligne proved Wei Yin's conjecture, Professor Wiles proved Fermat's Last Theorem, and Perremann proved Poincare's conjecture, etc.
From this aspect, Faltings does not seem to be ranked high.
But the mathematical community’s recognition of a person’s mathematical ability does not only come from proving a certain mathematical conjecture.
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Although this does occupy a large proportion, the tools and methods used in proving mathematical conjectures, as well as the number of mathematical results and contributions to the mathematical community are more critical.
And this old gentleman is the one who created tools and methods. He almost perfectly found a way to combine algebra and analysis, and used it to create huge value.
For example, he previously obtained arithmetic algebraic geometry using methods, and this achievement was applied by Professor Andrew Wiles to the proof of Fermat's Last Theorem, which accounted for a considerable amount of weight.
But this time, Xu Chuan realized the old man's powerful but almost completely different mathematical ability and talent by relying only on two methods to solve a problem.
In today's mathematics world, each mathematical problem is like a mountain.
Generally, mathematicians solve problems by either climbing a snow-capped mountain or walking across the grass and finding a shortcut to get around.
When Faltins faced this mountain, he directly bulldozed the mountain or blew it up with bombs.
He doesn't use skills to do it, he does it entirely with strength. He is a power player.
It's 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 with his use of mathematical tools and two solutions to a problem, which made him deeply impressed.
...
After spending a few days and referring to the opinions of some reviewers Faltings who raised questions, Xu Chuan successfully completed the revision of the paper.
Fortunately, this problem is not so fatal, and it does not cause nearly a year of trouble like Wiles's original proof of Fermat's last theorem.
With the revised thesis in hand, Xu Chuan found Professor Faltings again and handed him the paper in his hand.
The old gentleman did not show any surprise that he could complete the revision of the paper so quickly. As if he should be like this, he reached out his hand and took the paper and started reading.
It wasn't until the revised paper came into view again that the arrogant Germanic old man's eyes flashed with surprise, he sat up straight and became serious.
After more than ten minutes, Faltings put down the paper in his hand, raised his head and looked at Xu Chuan, and said calmly: "Congratulations, you have completed the revision of the paper. I have no other comments about the part I am responsible for reviewing.
and questions.”
"Deligne's evaluation of you is correct. You are indeed one of the best mathematicians in the world. You are no weaker than Schultz, and you hope to surpass me."
After a pause, the old gentleman continued: "Of course, there is only hope."
Hearing this, Xu Chuan immediately breathed out and almost suffocated.
It is rumored that this old gentleman has a bad character and is arrogant and arrogant. There is really nothing wrong with him. He is simply the most aggressive among the most aggressive.
However, he did know some rumors about some of the most outstanding mathematicians Faltings said.
This old gentleman once said of Peter Schulz: "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 community are aware of this rumor.
Everyone speculated who the other two people were. Some said they were Grothendieck and Jean-Pierre Serre; others said they were Deligne and Terence Tao.
However, Faltings has never responded directly to this matter.
But no matter what, for this conceited and arrogant old man to make such an evaluation, it shows the excellence of the person involved.
Now he has also received such an honor: "I hope to surpass him!"
Regarding this evaluation, Xu Chuan really didn't know whether to be angry or laugh, and in the end he 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 elder, and it is even difficult to look behind him.
After all, he himself is not a very good pretender.
...
Time passed day by day, and in the third week after the peer review began, the review team composed of six Fields Medalists spent more than 20 days finally completing the review of the six-part paper.
At the Institute for Advanced Study in Princeton, Xu Chuan received a call and came to the office of Charles Fefferman, dean of the Department of Mathematics at Princeton University.
The hidden NPC from Princeton University had a bright smile on his face and gave Xu Chuan a big hug.
"Congratulations, the paper proving the Hodge conjecture has passed peer review."
"From today on, the Hodge conjecture will be officially elevated to a theorem, and we now have a perfect tool that can construct any h object from geometric objects in a purely algebraic way."
On the other side, Professor Camilo de Leilis, editor-in-chief of the Annals of Mathematics, also smiled and congratulated: "
Dr. Xu Chuan, your paper will be published in the next issue of "Annals of Mathematics"."
"At the same time, we will also announce this great success in advance to let more people know about it."
