At the exchange party, Xu Chuan and Artur Avila chatted for a while about self-preservation forms and self-defense l functions, and after listening to Xu Chuan's ideas, Professor Avila suddenly became interested and pulled him together to try to verify these ideas.

However, the result is conceivable, neither of them is an expert in number theory, and the calculation was directly stuck after a while.

But neither Xu Chuan nor Avila cared, this was normal.

In the mathematical world, when solving a difficult problem, especially such a world-class mathematical problem, even if an idea is feasible, it takes a long time to complete the verification.

Mo Kun, who came with him, stared at the preliminary deduction of the calculations and the mathematical formulas on the manuscript paper and fell into deep thought, not knowing what he was thinking.

As for Hu Xingjian, although he also came over, in addition to looking confused, he could only act as an atmosphere group.

Tonight's exchange was a bit too profound for him as a graduate student, even if this was the direction of his study and research, he couldn't keep up with the rhythm.

But tonight's exchange is a great opportunity for him if he is interested in taking the next step in academics.

Even if you don't understand it, it doesn't matter if you can't understand these verification processes, in this kind of communication with the Fields Medal elders, what you listen to is the thoughts and ideas of the bulls.

For example, the regularity of the boundary points of the Dirichlet function is used to construct a function domain with regularity boundary, and then the curvilinear equation is introduced by expanding the domain to limit the concept of dual reduction groups...... to break through the functal conjecture in the Langlands program.

That's a whole line of thought, and it's something you can't learn in school. To be able to hear this kind of thing, the value is far better than that of oneself holding a book and slowly gnawing on it.

The basics are always there and can be learned at any time, but this kind of boundary-breaking theories and ideas are very rare.

Not everyone has the ability to explore the boundaries of knowledge and expand it, and the vast majority of people do not have this ability.

Human knowledge is like an ocean, the most narrow in ancient times, and those Homo sapiens may only watch the sunrise and sunset every day.

But human innate curiosity motivates people to explore.

From the phenomenon of lightning striking fire, to the process of drilling wood for fire, to the principle of friction and heat generation.......

One by one, knowledge and principles are constantly filled into this ocean, turning it into a little bit of seawater that expands it little by little, expands its boundaries, and finally evolves into a vast ocean of knowledge.

And every expansion of the border, no matter how big or small, has a great significance.

........

After receiving the Morningstar Mathematics Prize, he took the stage to give a report on the proof process of the Weyl-Berry conjecture, and this Morningstar Mathematics Prize is basically over.

For Xu Chuan, this World Congress of Chinese Mathematicians has gained a lot.

Not only did he win a gold medal in Morning Star Mathematics and a gold medal in the 25,000 meters, but he also received inspiration and harvest from the exchange with Professor Artur Avila

Communicating mathematics with top mathematicians is enjoyable and rewarding.

This is also the reason why Xu Chuan would rather take some risks after being reborn and want to go to Princeton to study mathematics again.

Math relies on talent, yes, but talent won't solve all your problems.

If it weren't for Professor Avila's communication and discovery this time, he didn't know how long it would take him to think of this for himself, maybe years, maybe decades, maybe he wouldn't have been able to think of it for a lifetime.

.........

After cashing the cheque he had received at the bank, Xu Chuan sent an email to Professor Deligne in Princeton, saying that he would be studying at Princeton in the near future.

The email was quickly replied to, and Professor Deligne welcomed him and would be waiting for him at Princeton.

Before leaving, Xu Chuan went to the office of his mentor Chen Zhengping.

After all, if you are going to study abroad, you still have to say hello to the school.

"Mentor, I'm going to Princeton."

In the office, Xu Chuan said goodbye, Chen Zhengping put down the work in his hand and asked, "When will you leave?" ”

"Tomorrow's ticket." Xu Chuan replied.

Chen Zhengping nodded and said, "Well, go ahead, you should indeed go to a higher platform to absorb more knowledge, and hope that you can have more breakthroughs and achieve higher achievements in the future." ”

After a pause, Chen Zhengping continued: "I haven't asked, what direction are you going to develop after going to Princeton this time?" Do you continue to study in depth in spectrum theory and field expansion, or do you have a different direction of study? ”

Xu Chuan thought for a while and said, "There are still many things I have to learn, in terms of mathematics, turbulence, smooth popularity, chaos, analysis, functions, algebra, I want to try them." ”

"In terms of physics, I should still start with particle physics, and I haven't solved the problem of the 'proton radius mystery' last time, so I will continue to try to see if I can solve this problem."

"In the near term, though, I'm probably going to focus on number theory and autonomic l-functions."

Hearing Xu Chuan's answer so much, Chen Zhengping blurted out that he wanted to persuade Xu Chuan to concentrate a little more, but then he held back.

According to common sense, a person's energy is always limited, and wanting to learn everything means not being able to learn anything, or saying that he can't learn well.

A hammer in the east and a mallet in the west, doing a little bit of this thing, doing a little bit of that, doing everything is the biggest taboo in academic research.

But judging from the current observations, this taboo seems to have failed for him as a disciple.

Not to mention the mathematical aspect, the proof of the Weyl-Berry conjecture and the application of the Xu-Weyl-Berr theorem were all completed in just one year.

In the eyes of ordinary people, this may be genius.

But in the eyes of those of them who are academic insiders, it's nothing short of a miracle.

It takes an incomparably long time for a world-class mathematical conjecture to be proven to be a mathematical theorem itself.

For example, it took Professor Andrew Wiles seven years to prove Fermat's theorem, and it took a long time to apply Fermat's theorem to other mathematical aspects.

After all, it takes a long time to fully understand the process of proving Fermat's theorem, and then turn it into your own and apply it flexibly.

Even if it is a mathematician in the same field, even Professor Wiles himself, it will take at least a year or two to come.

However, in Xu Chuan, this theorem also failed, and after he completed the proof of the Weyl-Berry conjecture, he skillfully applied it to other fields in more than three months, which is beyond everyone's imagination.

In addition to his achievements in mathematics, in physics, his disciple also showed his talent.

This is not about the gold medal of the IPO, but about the 'proton radius mystery'.

Xu Chuan is studying the 'mystery of proton radius' Chen Zhengping knows, the two have exchanged and discussed, not to mention, he has also seen some data analysis behind Xu Chuan.

He didn't dare to say that those things were necessarily right, but at least, he saw his disciple's physics skills in those data.

Although it is not as good as the achievements in mathematics, it is really not bad to be honest, and it is better than the average college graduate student, or even a doctoral student.

This made Chen Zhengping very confused.

How did he, a disciple, do it?

In less than a year, he solved a world-class mathematical problem, not to mention that he also improved in physics, and even exceeded his original expectations.

In addition, there are some achievements in the astronomical world, although they mainly rely on mathematical calculations, but if you don't know astronomy, no matter how good mathematics is, it is useless.

Mathematics, physics, and astronomy blossom on three sides.

How exactly is this done?

Perhaps, people are really different, in this world, there is indeed that kind of all-round genius who can break common sense.

Thinking of this, Chen Zhengping swallowed back the words that had already burst into his throat.

"It's good that you have a study goal, go out this time, take good care of yourself, you can go to Lin Feng if you have anything, don't be afraid of trouble."

Xu Chuan nodded, not caring about this.

As long as the United States does not make a move, he is still safe in Princeton.

"Oh, by the way, there's something else I forgot to tell you."

Chen Zhengping confessed two sentences, and then patted his head and said: "I have an experiment and a meeting at CERN in July this year, do you want to go over and see it?" ”

"That experiment you talked about last year?"

Xu Chuan suddenly remembered that Chen Zhengping had told him last year that he seemed to be going to Europe to do experiments at LHC this year, and said that if he could study, he could take him over for a long time.

"Well, it was supposed to be this month, but there was an accident in the back, which caused the later experiments to be delayed for two months, and my side was delayed until mid-July."

"If you want to go, I will add your name to the project team, and after you have an experimental experience, you can apply to become an intern or summer job at LHC later, and you can get access to first-hand collision data, which is still very helpful to you."

"Aren't you working on the 'mystery of the proton radius', and with your work experience at the LHC, it's much easier to apply for a proton collider or something."

Chen Zhengping nodded, although his research direction in recent years has shifted from condensed matter physics and high-energy physics to materials physics, it does not mean that he has given up his original scientific research direction.

Since his disciple still doesn't want to give up physics, and he is also talented in particle physics, this experiment has brought him a good increase in knowledge.

And if you have any questions about the 'proton radius mystery', you might be able to take this opportunity to apply for the Atomic Energy Laboratory's collider.

There is no hope for the LHC large strong particle collider, but the Euroatomic energy experiment is not only this collider, but also small and medium-sized ones, and the performance should be enough for Xu Chuan to complete this experiment.

Even if you can't cut the queue or anything this time, with this experimental work experience, the follow-up application will be much easier.

There are still a lot of benefits.

.......

"Then please take me one, teacher, you can send me at the specific time, and I will go directly from Princeton."

Xu Chuan agreed, and if he had the opportunity to go to the European Atomic Energy Laboratory to observe, he would definitely go.

It was the world's largest large-scale strong particle collider, and more than half of the world's high-energy physics achievements came from LHC, and the high-energy physics achievements of his previous life were basically related to LHC.

And this time, maybe I can find an opportunity to apply for a proton collision device and do two experiments to collect data on the 'proton radius mystery' problem.

He didn't expect a single experiment to solve the problem, but at least there had to be some advancement, right?

It is convenient to continue to apply for the use of other people's colliders if there is progress and results.

I have to say that he and Chen Zhengping want to go together.

.........。