Chapter 115 Paper Review

In Princeton, when Xu Chuan and Professor Avila were having breakfast and chatting about mathematics, the video of his previous proof of the Weyl-Berry conjecture returned to his homeland overnight.

And it once again set off a wave of waves and heat on the Internet.

[Have you heard? Last year's top scorer in the college entrance examination is doing something again. ]

[Eating melons. ]

[Didn't he prove a Weyl-Berry conjecture before? Three months later, he solved another world-class mathematical conjecture at Princeton University. ]

[What the hell? What the hell? Are you kidding me? Is a world-class conjecture so easy to prove? ]

[It's not as exaggerated as you think. In fact, the conjecture proved by such a big guy before was a weakened form of the Weyl-Berry conjecture. This time he completed it and fully proved the Weyl-Berry conjecture. ]

[Wow, I was scared to death. I thought he solved two world-class mathematical conjectures in half a year. ]

[If you want to say two, it can be said that there are two. The difficulty of the weak Weyl-Berry conjecture is also world-class, but there are only two under the same system. ]

[It seems that it has not been confirmed yet. I just wrote the proof process on the podium. It has not been reviewed yet, so there may be problems with the proof process. ]

[Damn, why do you look down on me? Even under the same system, this difficulty is very high, okay? ]

[Look down? I think too much. This kind of god has already broken the void and is not on the same level as us. We can only admire him. ]

[Speaking of this great god, he doesn’t even look at Weibo and has never sent a message. Is there any big guy you know who can remind him? It’s okay to show off on Weibo. ]

[Pretend to show off? It’s better for people to use Twitter, which is full of (dog heads)]

Xu Chuan didn’t know about the hot searches on the domestic Internet. After chatting with Professor Artur Avila, he stayed in the hotel to write his own paper.

After spending more than two days, he finally wrote a perfect proof of the Weyl-Berry conjecture and handed it to Professor Deligne.

"Xu, there are six reviewers for the proof of the Weyl-Berry conjecture this time, including me, Professor Feldman, Professor Gowers of Cambridge University, and Professor Arthur Avila of Paris Diderot University."

After receiving Xu Chuan's paper, Professor Deligne revealed the people who reviewed the paper this time.

Hearing the list from Professor Deligne, Xu Chuan couldn't help it.

A six-member review team, four of whom are super-talented people who have won the Fields Medal, what the hell.

Professor Gowers and Professor Artou are still normal in this review team.

The former's achievements are mainly in Banach space, which is 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 main achievements of the latter is spectral theory, which is one of the core of the Weyl-Berry conjecture.

But why did Professor Deligne and Professor Feldman from Princeton get involved?

One of these two big guys is the last disciple of the Pope of Mathematics, G., and his main achievements follow his teacher in algebraic geometry.

The other is known for reviving the study of classical analysis, and his main achievements are in 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 connection is not very large.

So Xu Chuan really didn't understand why these two big guys were also in the review group, especially the one in front of him.

Could it be because of his performance on the stage a few days ago? Or is it because of this Princeton Mathematics Exchange?

However, since the review list has been decided, he has no choice but to hope that he can pass the review of these big guys smoothly this time.

After the mathematics exchange meeting, mathematicians from all over the world have basically dispersed.

The proof process of the Weyl-Berry conjecture is being verified and reviewed by the "luxury" review team. In the first one or two days, Xu Chuan still needs to run around to answer various questions from these big guys.

However, starting from the fourth day, he gradually relaxed.

Taking advantage of the time, Xu Chuan sneaked into Princeton's mathematics class and listened to several mathematics classes.

The word "sneak" doesn't seem to be very good. The mathematics class at Princeton is basically the same as the open classes in China. It doesn't mind students from outside, even farmers and construction workers coming in to listen to the lectures, and it is even quite welcome.

Of course, whether you can understand it is your own problem.

Compared with domestic mathematics classes, the mathematics department courses at Princeton University are very flexible, and teaching and research focus on originality.

If the students who listen to the lectures can have their own unique views, they will be encouraged by the professors. If they can make academic discoveries and progress in their own way, they will get more recognition.

Not only that, Princeton's mathematics department also provides excellent opportunities for students with a mathematics background and novices with strong mathematical talents and interests.

At the university level, ordinary college students have the opportunity to work with the best mathematicians in the world in various basic fields of applied mathematics or theoretical mathematics.

Even including participating in cooperative projects with other departments such as the Department of Physics and the Department of Economics.

This is the most advanced practice, which can bring great inspiration and help to a mathematics student who loves mathematics.

As for the assessment and grades that are emphasized in China, it can be said that almost no one here will pay too much attention to them.

A student can get grades even if he does not attend classes, and the professor may give grades at will, maybe all get A, maybe all get C, no one cares about these.

Even in the most important general exam, such as the mathematics department, three of the five questions are selected by the mathematics professor, and the remaining two are given to the students.

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 get a doctorate degree in the shortest practical time, and it is genuine.

Perhaps many people will think this is irresponsible, but for mathematics, this is actually a screening process. Only students who can really succeed can persist to the end, and many of the rest give up halfway.

Even in Princeton, not every student in the Department of Mathematics can become a mathematician or a mathematics professor.

In fact, the proportion of people who can delve deeply into the path of mathematics is less than one-tenth.

Time passed by little by little. In Princeton, Xu Chuan spent most of his time attending classes and a small part of his time rushing to the review team's office to communicate with them.

Until the tenth day, when he received a call from Professor Deligne and rushed to the old man's office again, good news came.

"Xu, congratulations, the review has passed. From today, the Weyl-Berry conjecture will be promoted to a theorem, and there will be one less problem in the hall of mathematics. You can change its name, such as Xu-Weyl-Berry theorem, or Weyl-Berry-Xu theorem."

"Of course, it can also be other, but please bring the names of the two conjecturers Weyl and Berry."

"In addition, here are the review comments, do you want to take a look?"

In the office, Professor Deligne, with sparse white hair, smiled and handed over a document.

Xu Chuan thanked him and took the review comments and took a look.

Professor Charles Fefferman: "This is a very good proof. The prover's ideas on domain extension and domain transformation are quite novel, which can bring new research ideas to mathematicians. I hope the prover can organize it well in this regard. It may become a new tool for studying fractal boundaries, number theory and domain theory."

Professor Gowers: "I can't believe it. I just reviewed the weakened form of the Weyl-Berry conjecture a few months ago. I didn't expect that only three or four months later, the complete Weyl-Berry conjecture proof was presented to me, and the proof process was almost flawless."

Professor Artur Avila: "It's hard to believe that this is a paper written by an 18-year-old college student. It's really excellent."

"Other professors:"

Except for Professor Deligne in front of him, the other six judges gave a very high evaluation of the Weyl-Berry conjecture proof paper.

After reading the review comments, Xu Chuan closed the manuscript and put on 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 only a few top journals, and your paper deserves the top one."

Professor Deligne nodded without hesitation, and then said: "If you haven't thought about it yet, I suggest you submit it to the Annals of Mathematics."

"After the exchange meeting, they have contacted me many times, and the latest issue of the journal that was originally scheduled to be published this month has not been published yet, waiting for your paper."

"If you like, this paper will 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 from the four top journals, other journals"

Professor Deligne didn't finish his words, but Xu Chuan also knew what he meant.

In the mathematics community, there are many journals that can publish papers.

But the most famous ones are the four top journals.

They are Annals of Mathematics, Acta Mathematica Sinica, New Advances in Mathematics, and Journal of the Mathematical Society.

These four journals are recognized by the mathematics community as the top mathematical journals and are called the ‘Four Great Journals’.

In the mind of this old man, other journals except the four great journals are not worthy of the proof paper of the Weyl-Berry conjecture.

Coincidentally, Xu Chuan himself thought so too.

After hearing that Annals of Mathematics postponed the latest issue of the journal for his paper and would be published after logging in next month, he nodded without hesitation.

“In that case, this proof paper of the Weyl-Berry conjecture will be handed over to Annals of Mathematics. I hope they can treat my paper well.”

Professor Deligne smiled and said, “Of course, unless they don’t ask me to review the paper in the future.”

There should be more in the afternoon and evening. Today is another day of ten thousand. Come on and give me some monthly tickets and rewards, []~(￣▽￣)~*