Chapter 144 Opportunities at CERN
At the exchange party, Xu Chuan and Artur Avila talked about automorphic forms and automorphic L functions for a while. After listening to Xu Chuan's ideas, Professor Avila suddenly became interested and pulled him to try to verify these ideas.
However, the result is predictable. Neither of them is an expert in number theory, and the calculation was stuck after a while.
But Xu Chuan and Avila didn't care, which is normal.
In the mathematical world, when solving a difficult problem, especially this 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 deduced formula and the mathematical formula on the manuscript paper and fell into deep thought, not knowing what he was thinking.
As for Hu Xingjian, although he also came, he could only act as an atmosphere group except for a confused face.
Tonight's exchange is a bit too profound for him as a graduate student. Even if this is the direction of his study and research, he can't keep up with the pace.
But tonight's exchange is a good opportunity for him, if he is determined to go further in academics.
Even if you don't understand or read these verification processes, it doesn't matter. In this kind of communication with the Fields Medal masters, you can hear the thoughts and ideas of the masters.
Just like using the regularity of the boundary points of the Dirichlet function to construct a function domain with regular boundaries, and then introducing the curve equation by expanding the domain, and restricting the concept of dual reduction group to break through the functor conjecture in the Langlands program.
This is a complete idea, which is something you can't learn in school. Being able to hear such things is far more valuable than slowly reading a book by yourself.
Basic knowledge is always there and can be learned at any time, but this kind of boundary-breaking theory and ideas are very rare.
Not everyone has the ability to explore the boundaries of knowledge and expand it. Most people don't have this ability.
Human knowledge is like an ocean. It was the narrowest in ancient times. Those Homo sapiens might only watch the sunrise and sunset every day.
But people's natural curiosity will prompt people to explore.
From the phenomenon of fire caused by lightning, to the process of drilling wood to make fire, to the principle of frictional heat generation.
One by one, pieces of knowledge and principles are constantly added to this ocean, becoming drops of sea water to expand it little by little, expand its boundaries, and finally evolve into a vast ocean of knowledge.
And every expansion of boundaries, no matter how big or small, has great significance.
After receiving the Morning Star Mathematics Award, he went on stage to give a report on the proof process of the Weyl-Berry conjecture, and this Morning Star Mathematics Award was basically over.
For Xu Chuan, this World Chinese Mathematicians Conference has gained a lot.
Not only did he win a Morning Star Mathematics Gold Award and a 25,000-meter gold medal, but he also gained inspiration and gains from communicating with Professor Artur Avila.
Communicating mathematics with top mathematicians is a very pleasant and rewarding thing.
This is also the reason why Xu Chuan would rather take some risks and want to go to Princeton to study mathematics again after his rebirth.
It is true that mathematics relies on talent, but talent cannot 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 for him to think of this on his own. It might be a few years, or decades, or even a lifetime.
After cashing the check at the bank, Xu Chuan sent an email to Professor Deligne of Princeton, saying that he would go to Princeton to study in the near future.
The email received a reply soon. Professor Deligne welcomed him and said he would wait for his arrival in Princeton.
Before leaving, Xu Chuan went to the office of his mentor Chen Zhengping.
After all, he was going to study abroad, so he still had to say hello to the school.
"Teacher, I'm going to Princeton."
In the office, Xu Chuan said goodbye, and Chen Zhengping put down his work and asked, "When are you leaving?"
"Tomorrow's flight ticket." Xu Chuan replied.
Chen Zhengping nodded and said, "Well, go ahead. You should indeed go to a higher platform to acquire more knowledge. I hope you can make more breakthroughs and achieve higher achievements in the future."
After a pause, Chen Zhengping continued, "I haven't asked you this time. After going to Princeton, what direction are you going to develop in? Will you continue to study spectral theory and domain extension, or will you have other learning directions?"
Xu Chuan thought for a while and said, "There are still many things I need to learn. In mathematics, I want to try turbulence, smooth flow, chaos, analysis, functions, and algebra."
"In physics, I should still start with particle physics. I haven't solved the problem of the 'proton radius mystery' last time. I will continue to try to see if I can solve this problem."
"But in the near future, I may focus on number theory and automorphic L functions."
Hearing that Xu Chuan had so many answers, Chen Zhengping blurted out that he wanted to persuade Xu Chuan to concentrate his energy, but then he held back.
According to common sense, a person's energy is always limited. Wanting to learn everything means that you can't learn anything, or you can't learn anything in depth.
It is the biggest taboo to do everything in academic research.
But from the current observation, this taboo seems to have failed for his disciple.
Let’s not talk about mathematics. 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 academic insiders, this is simply a miracle.
It takes an extremely long time for a world-class mathematical conjecture to be proved and flourished into a mathematical theorem.
For example, it took Professor Andrew Wiles 7 years to prove Fermat’s Last Theorem, and it took a long time to apply Fermat’s Last Theorem to other mathematical aspects.
After all, it takes a long time to fully understand and understand the proof process of Fermat’s Last Theorem, and then turn it into your own thing and use it flexibly.
Even mathematicians in the same field, or even Professor Wiles himself, need at least one or two years.
However, this theorem also failed in Xu Chuan. After completing 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, his disciple also showed his talent in physics.
This does not refer to the gold medal of IPHO, but the problem of the "proton radius mystery".
Chen Zhengping knew that Xu Chuan was studying the "proton radius mystery". The two had discussed it, and he had also read some of Xu Chuan's data analysis.
He did not dare to say that those things were definitely correct, but at least he saw his disciple's physics skills in those data.
Although it was not as good as the achievements in mathematics, to be honest, it was really not bad, better than ordinary college students, graduate students, and even doctoral students.
This made Chen Zhengping very confused.
How did his disciple do it?
In less than a year, he not only solved a world-class mathematical problem, but also improved in physics, even beyond his original expectations.
In addition, there are some achievements in the astronomical community. Although they mainly rely on mathematical calculations, if you don't understand astronomical knowledge, it's useless to learn mathematics well.
Mathematics, physics, and astronomy, blooming on three sides.
How did this happen?
Perhaps, people are really different from each other. In this world, there are indeed all-round geniuses who can break common sense.
Thinking of this, Chen Zhengping swallowed back the words that had already come to his throat.
"It's good that you have a learning goal. Take good care of yourself when you go out this time. If you have anything, you can go to Lin Feng. Don't be afraid of trouble."
Xu Chuan nodded and didn't care about these.
As long as the United States doesn't take action, he is still very safe in Princeton.
"Oh, by the way, there is something I forgot to tell you."
Chen Zhengping explained a few words, and then slapped his head and said: "I have an experiment and meeting at the European Organization for Nuclear Research in July this year. Do you want to go and see it?"
"The experiment you mentioned last year?"
Xu Chuan suddenly remembered that Chen Zhengping told him last year that he seemed to be going to the European LHC to do experiments this year, and said that if he could study well, he could take him there to broaden his horizons.
"Well, it was originally scheduled for this month, but something unexpected happened there, which delayed the subsequent experiments by two months. My experiment was delayed until mid-July."
"If you want to go, I will add your name to the project team. After you have an experimental experience, you can apply to become an intern or summer worker at the LHC. You can get first-hand collision data, which will be of great help to you."
"Including you are studying the 'mystery of the proton radius', with the work experience of the LHC, it will be much easier to apply for the use of the proton collider."
Chen Zhengping nodded. Although his research direction has shifted from condensed matter physics and high-energy physics to material physics in recent years, it does not mean that he has given up his original research direction.
Since his disciple still does not want to give up physics and has talent in particle physics, it is not bad to take him there to broaden his horizons in this experiment.
And regarding the 'mystery of the proton radius', maybe he can take this opportunity to apply for the collider of the atomic energy laboratory.
There is no hope for the Large Scale Particle Collider (LHC), but the European Atomic Energy Laboratory has more than one collider, and there are also small and medium-sized ones. The performance should be enough for Xu Chuan to complete experiments in this area.
Even if he can't jump the queue this time, with this experimental work experience, subsequent applications will be much easier.
There are still many benefits.
"Then please take me with you, teacher. Please send me the specific time when the time comes, and I will go directly from Princeton."
Xu Chuan agreed. If there is a chance to visit the European Atomic Energy Laboratory, he will definitely go.
That is the world's largest large particle collider. More than half of the world's high-energy physics results come from LHC. His high-energy physics results in his previous life are basically related to LHC.
And this time, maybe he can find an opportunity to apply for a proton collider and do two experiments to collect data on the "proton radius mystery".
He didn't expect to solve this problem with one experiment, but at least there must be progress, right?
Only with progress and results can it be convenient to continue to apply for the use of other people's colliders.
It has to be said that he and Chen Zhengping had the same idea.