In Princeton, when Xu Chuan and Professor Avila were having breakfast and chatting about mathematics, the video he had previously shown of Weyl-Berry's conjecture traveled across the ocean and returned to his motherland overnight.
And it once again set off a wave of enthusiasm on the Internet.
[Have you heard? Last year’s top scorer in the college entrance examination caused trouble again. 】
【Eating melon.】
[Didn’t he prove some Verbeli conjecture before? Three months later, he solved another world-class mathematical conjecture at Princeton University.]
[What the hell? Are you kidding upstairs? Are world-class conjectures so easy to prove?]
[It’s not as exaggerated as you think. In fact, the conjecture that this old man proved before was a weakened form of the Weyl-berry conjecture. This time he completed it and fully proved the Weyl-berry conjecture. 】
[Oh, I was scared to death. I thought I had solved two world-class mathematical conjectures in half a year.]
[If you want to say two, it can indeed be said to be two. The difficulty of the weak Weyl-berry conjecture is also world-class, but it is just two under one system. 】
[It seems that it has not been confirmed yet. The certification process is just written on the podium. If it has not passed the review, there may be problems with the certification process. 】
[Ma Dan, why do you feel so looked down upon? Even under one system, this is very difficult, okay? 】
[Look down? You think too much. Such gods are already on the same level as Shattering Void. We can only worship them. 】
[By the way, this great master doesn’t even look at the scarves, and has never sent any messages. Is there anyone you know who can remind me? It’s okay to come here and show off.】
[Pretending? It’s better to use Twitter, which is full of (dog heads)]
.......
Xu Chuan, a popular search topic on the domestic Internet, did not know that after chatting with Professor Artur Avila, he had been staying in the hotel writing his thesis.
After spending more than two days, he finally completed the proof paper of the Weyl-berry conjecture and handed it over to Professor Deligne.
"Xu, there are six reviewers for this paper proving the Weyl-berry conjecture. They are me, Professor Fehrman, Professor Gowers from the University of Cambridge, and Artur Avi from the University of Paris Diderot.
Professor La......"
After receiving Xu Chuan's paper, Professor Deligne revealed the person who reviewed the paper this time.
Hearing the list from Professor Deligne, Xu Chuan couldn't help but take a breath of the cool air of late winter.
There are six people in the review team, four of whom are super experts who have won the Fields Medal. This is simply terrifying.
Professor Gowers and Professor Altu are considered normal members of this review team.
The former's achievements are mainly in Banach spaces, which are closely related to the Weyl-berry conjecture, and he is also the reviewer of the weakened formal proof of the Weyl-berry conjecture.
One of the latter's main achievements is spectral theory, which is one of the cores of the Weyl-berry conjecture.
But why did Professor Deligne and Professor Fellman from Princeton get involved?
One of these two elders was a close disciple of the Pope of Mathematics, Emperor G, and his main achievements followed his teacher in algebraic geometry.
The other is famous for revitalizing the research of classical analysis, and his main achievements are in the fields of real analysis, complex analysis, harmonic analysis, partial differential equations and other fields.
Although partial differential equations can also be linked to the Weyl-berry conjecture, the correlation is not very great.
So Xu Chuan really didn't understand why these two elders were also among the review team, especially the one in front of him.
Is it because of the performance on the stage a few days ago? Or is it because of this Princeton Mathematics Conference?
But now that the review list has been decided, he has no choice but to hope that he can successfully pass the review of these elders this time.
...
After the mathematics exchange meeting, the mathematicians from all over the world had basically dispersed.
The proof process of Weyl-berry's conjecture is being verified and audited by the "luxury" review team. In the first day or two, Xu Chuan still needs to run around to answer various questions from these elders.
But starting from the fourth day, he gradually became more relaxed.
Taking advantage of the time, Xu Chuan sneaked into Princeton's mathematics class and listened to several mathematics classes.
The word "stealing" seems inappropriate. Princeton's mathematics classes are basically the same as open classes in China. They don't mind outside students, even farmers, and construction workers coming to listen to the lectures. They are even quite welcome.
Of course, whether you can understand it or not is up to you.
Compared with domestic mathematics courses, the mathematics courses at Princeton University are very flexible, and the teaching and research focus on originality.
If the students attending the lecture can have their own unique opinions, they will be encouraged by the professor, and if they can achieve academic discovery and progress in their own way, they will receive more recognition.
Not only that, Princeton's mathematics department also provides excellent opportunities for students with a mathematical background as well as novices with strong mathematical talents and interests.
At the university level, ordinary college students have the opportunity to collaborate with the best mathematicians in the world in various basic fields of applied mathematics or theoretical mathematics.
It even includes participating in cooperative projects with other departments such as the Department of Physics and the Department of Economics.
This is the most advanced practical practice, which can bring great inspiration and help to a mathematics student who loves mathematics.
As for the assessment and results that are important in China, it can be said that almost no one here pays too much attention to them.
A student can get grades even if he doesn't usually attend class, and the professor may give grades as he pleases, maybe all A's, maybe all C's, no one cares about this.
Even for the most important general examination, such as the mathematics department, three of the five examination questions are chosen by the mathematics professor, and the remaining two questions are left to the students.
This chapter is not finished yet, please click on the next page to continue reading the exciting content! It is in this seemingly relaxed learning environment that the Department of Mathematics at Princeton University has cultivated countless outstanding mathematical talents, and students can also achieve mastery in the shortest amount of practice.
to a doctorate degree, and it is genuine.
Many people may think this is irresponsible, but for mathematics, this is actually a screening process. Only the students who can really succeed can persist until the end, while many of the rest give up halfway.
Even at Princeton, not every mathematics student can become a mathematician or mathematics professor.
In fact, less than one in ten people can delve deeply into mathematics.
.......
Time passed like this little by little. At Princeton, Xu Chuan spent most of his time attending classes, and a small amount of time rushed to the office of the review team to communicate with them.
It wasn't until the tenth day, when he received a call from Professor Deligne and rushed to the old man's office again, that the good news came.
"Xu, congratulations, the review has passed. From today on, the Weyl-berry conjecture will be promoted to a theorem. There is one less problem in the palace of mathematics. You can change its name, such as xu-weyl-berry theorem, or weyl
-berry-xu theorem.”
"Of course, it can be something else, but please bring the names of the two conjecture makers, Weyl and Berry."
"Also, here are the review comments. Do you want to read them?"
In the office, Professor Deligne, who had sparse white hair on his head, smiled and handed over a document.
Xu Chuan thanked him and took the review comments and looked at them.
Professor Charles Fefferman: "This is an excellent proof. The prover's ideas on domain expansion and domain transformation are quite novel. This can bring new research ideas to mathematicians. I hope the prover can work on this."
If we organize it carefully, it may become a new tool for studying fractal boundaries, number theory and field theory."
Professor Gowers: "I really can't believe it. I reviewed the weakened form proof of the Weyl-berry conjecture just a few months ago. I didn't expect that only three or four months later, the complete proof of the Weyl-berry conjecture would be presented in
It happened before my eyes, and the proof process was almost flawless.”
Professor Artur Avila: "It's hard to believe that this is a paper written by an eighteen-year-old college student. It is so excellent."
"Other professors:......"
The six judges, except for Professor Deligne in front of me, all gave very high evaluations to the Weyl-berry conjecture proof paper.
After reading the review comments, Xu Chuan closed the manuscript with a bright smile on his face, which complemented the smile of Professor Deligne opposite him.
"Xu, have you thought of which journal to submit this paper to?" Professor Deligne asked with a smile in the office.
"Do you have any suggestions?" Xu Chuan asked.
"Of course there are. There are only a few top journals, and your paper deserves to be in the top ones."
Professor Deligne nodded without hesitation and continued: "If you haven't decided yet, I suggest you vote for the "Annals of Mathematics"."
"After the exchange meeting, they have contacted me many times. Moreover, the latest issue of the journal that was supposed to be published this month has not been released yet. They are waiting for your paper."
"If you are willing, this paper can be published in the "Annals of Mathematics" at the latest next month."
"Of course, you can choose your own ideas if you have a favorite journal, but I suggest you try to choose among the four top journals. Other journals..."
Professor Deligne did not finish what he said, but Xu Chuan also knew what he meant.
In the mathematics world, there are many journals that can publish papers.
But the most famous ones are the four top journals.
They are "Annals of Mathematics" and "Journal of Mathematics"
acta mathematica", "New Advances in Mathematics ihematicae" and "Journal of the American Mathematical Society"
These four major journals are recognized by the mathematics community as the top mathematics journals and are called the ‘Four Divine Journals’.
In this old man's mind, other journals except the four major journals are not worthy of the proof paper of Weyl-berry's conjecture.
Coincidentally, Xu Chuan himself thought so too.
After hearing that the "Annals of Mathematics" had postponed the latest issue of the journal for his paper and would release it after logging in next month, he nodded without hesitation.
"In this case, I will hand over this proof paper of the Weyl-berry conjecture to the "Annals of Mathematics". I hope they will treat my paper well."
Professor Deligne smiled and said: "Of course, unless they no longer ask me to review papers in the future."