The existence of such people may even lead many people to misunderstand that mathematics is a very simple thing.

But he had no choice. He even knew that the boy was criticizing the paper that he had contributed to, but he still had to find a way to deal with his 100,000 whys... What a fool!

..

Huaxia, Beijing, Yanbei University.

As soon as Qiao Yu walked into the Mathematics Research Center, he met old Xue hurriedly walking out. "Teacher Xue."

"Hey, you're back?"

"Yeah, just arrived." As he said that, Qiao Yu raised his hand and showed Xue Song the lightweight suitcase that Qiao Xi specially bought for him online - from Golden Eagle, a brand! Anyway, Qiao Yu thought it was a good brand. , fashionable, lightweight and eye-catching.

But it’s obvious that Lao Xue doesn’t know the goods. He didn’t even say, “Hey, there’s a new box.” Instead, he directly asked, “How is it? Have you made any breakthrough with that idea?”

Hey, I don’t know how to be a tutor, I don’t have a student mentality at all.

"Not yet. But I didn't waste the training time. I have read all five papers on the geometric Langlands conjecture, so this training is still very fruitful." Qiao Yuhui reported.

Xue Song thought for a while, and then said: "Well...it's pretty good!

In fact, as long as you have the expectation that this guy is not very good at speaking, you won't feel that those casual words about Versailles are so hurtful. "By the way, is Director Tian in the office?" Qiao Yu took the initiative to ask again. sentence.

Xue Song nodded and replied: "I just came back. What? Do you have something to do with Director Tian?"

Qiao Yu said: "Yes, I plan to go and thank Director Tian. I just learned on the high-speed rail that Director Tian has organized a series of seminars in cooperation with Huaqing in order to help me solve my questions."

Hearing Qiao Yu mention this matter, Xue Song's expression became strange again. This reminded him of the email he sent to Tian Yanzhen that night.

I never expected that what was just a whim at the time might indirectly lead to the great reconciliation of the two Chinese mathematical schools.

Although there are currently no public statements from the two parties to support this, from the cooperation in organizing this series of seminars, we can see that this trend has already occurred. At least the two sides are no longer in a state of never communicating with each other.

Of course, if you really want to talk about it, the conflict between Yuan Zhengxin and Tian Yanzhen did not affect the training of students too much. As Xue Song learned after coming to Yanbei, there are many students in the Mathematics Department of Huaqing. A professor with whom Tian Yanzhen has a good relationship.

Occasionally, Mr. Yuan's students would come to Yanbei to give lectures in seminars, and even young professors from the mathematics centers on both sides would collaborate and publish articles. Not everyone would care about such disputes.

But if the estrangement disappears, the communication between the two parties will naturally be better.

After all, the big guys on both sides have a lot of resources. These resources are not necessarily funds, but also a lot of contacts accumulated over time.

If the two sides can shake hands and make peace, and the research centers on both sides can truly form a synergy, then there may be great breakthroughs in the geometric analysis level that the two are best at in the future. And for the Chinese mathematics community as a whole, it can also be regarded as a breakthrough. A shot in the arm.

The most important thing is that if Qiao Yu can inherit the academic resources left to him by both parties in the future, then this status... probably no matter how much trouble he makes, at least no one in the country will dare to openly hinder him. ?

After all, what both parties are fighting for is the right to speak... Thinking about it this way, Xue Song felt envious again.

"Well, I should go say thank you. Just leave your luggage and go as soon as possible. Otherwise, Professor Aida will have to go out again later." "Okay." Qiao Yu agreed and picked up his brand new suitcase. He walked excitedly towards the research center.

Xue Song stopped and looked at Qiao Yu's back, sighing in his heart that it's so good to be young. It took him a while to come back to his senses... He shook his head and walked towards the outside of the research center. Wait, what is he going to do? Coming?

...

"Director Tian, ​​I'm back!" "Oh, I just arrived."

"Yes, Director Tian, ​​I am here specifically to thank you. You are definitely the best and most perfect mentor in the world, bar none."

Tian Yanzhen put down the pen in his hand and raised his head to look at this sixteen-year-old kid who was becoming more and more outrageous and even ran to his office without knocking on the door... Well, even though it was a rainbow fart, he still decided to accept it. .

But looking at Qiao Yu's singing, Tian Yanzhen couldn't help but give him a lesson: "It's useless to just talk. I can only help you so much. How much you can gain ultimately depends on yourself. This time You can check the list of professors participating in the conference on the official website. It’s still the same sentence. To learn from other people’s experiences, you must first have a minimum of respect for other people’s research results.”

Qiao Yu immediately replied seriously: "Don't worry! Don't you know my attitude towards learning? And to tell you the truth, I have read all five papers during the training period, including most of the citations. literature. I am now very familiar with this proposition.

Tian Yanzhen nodded and said, "That's okay. You're here just in time, and I have something to ask you. Didn't you say you were interested in prime number research last time? I also helped you choose a prime number model. proposition, and I plan to ask you to attend several conferences on prime number research. Why are you suddenly interested in the geometric Langlands conjecture again?"

If you don’t discipline the students who come to your door, it will be useless.

Although he flattered him as soon as he walked in, Tian Yanzhen still disapproved of this kind of behavior. No matter how Qiao Yu answered, he planned to have a good talk with the little guy, Let him realize the seriousness of academic research.

If you don’t work on the topic you have planned, and someone else publishes an important result, you will rush to find fault with it. It’s just that you are young, and you can pretend to be ignorant. But if you develop this habit of being careless, you will be a good person in the mathematics community in the future. Public enemy.

After all, people will grow up, but habits may remain.

Although this time he decided to help the emperor, he must be severely criticized, at least not in the future.

Who knew that Qiao Yu opened his mouth and replied: "Reporting to Director Tian, ​​it's not that I suddenly became interested in the geometric Langlands conjecture. In fact, I have been studying the topics you assigned me. But who knew that during the research process, I searched A few things lead to this conclusion.

Then I found that the geometric Langlands conjecture was helpful for me to study the random prime number model, so I started to study this series of papers with a learning attitude. Then I felt that the papers might have some imperfections.

Tian Yanzhen frowned, and this answer seemed to make it impossible to say the training words he had prepared next.

So he subconsciously put down the pen in his hand, then leaned back on the chair and said: "Come on, tell me carefully how you found that other people's conclusions are helpful to your topic. Explain the thought process more fully. .”

In fact, from the moment Tian Yanzhen asked that question, what Yu Wei said to him flashed through Qiao Yu's mind subconsciously.

"...When telling lies, you must be calm and calm, without any hesitation or letting people see the flaws..." Well, in fact, he also has this ability, but his summary is not as good as Yu Wei's. In place.

To be honest, Qiao Yu didn't want to deceive Tian Yanzhen. But he had no choice, and he didn't want anyone to know that he had a living father abroad. Yes, even if his living father licked his face in the future to acknowledge his marriage, he I will never admit it.

So Qiao Yu answered calmly: "Because I wanted to find a new way. Initially, I wanted to analyze prime numbers through modular forms. Then I found that the geometric Langlands conjecture can also provide a geometric perspective for understanding modular forms, so I wondered if I could do it through research. Use the geometric properties of modular forms to understand the distribution of prime numbers.

Then I searched for the content of the geometric Langlands conjecture, and I happened to search for that paper. After reading it, I discovered that in the limit of large numbers, the geometric structure and representation theory tools they introduced can also be used to study Statistical properties.

I also felt that the spectral theory of those geometric objects might have similar statistical properties to the distribution of prime numbers, and then you know, I started to study their papers. But after reading it, I felt that something was not right. It was quite complicated anyway, you know? Do you understand?"

Tian Yanzhen stared at Qiao Yu for a long time. He really felt that this little guy didn't seem to be lying, but this connection... To be honest, Tian Yanzhen felt that it was a bit far-fetched, but it was not completely impossible.

After all, the study of the entire Langlands conjecture system, including of course the geometric Langlands conjecture, is intended to provide a series of theoretical tools for mathematical research.

It can be seen from Qiao Yu's last paper that this kid has a very broad thinking model and is very good at using tools constructed by others to solve the problems he encounters. He can even create more useful tools in the process. tools.

Okay, this seems to be untrainable.

After all, according to this kid, he had actually been working on the propositions he had assigned, and just wanted to borrow some tools developed by others. However, in the process, he found some loopholes in other people's tools, so he raised questions.

This makes sense logically, but it still feels weird.

After all, it is difficult for ordinary people to turn their minds to the direction of the geometric Langlands conjecture when studying the random prime number model. But Tian Yanzhen feels that this kind of turning method should not be criticized, but should be supported.

After all, what if it really works and is very effective?

You must know that if Qiao Yu can really use this method to develop an ideal random prime number model, it will be another major breakthrough for the mathematical community.

For example, it not only complies with the prime number theorem, but also captures the interval between prime numbers, provides error bounds, and is consistent with important functions in number theory. It can even take into account the phenomenon of conjugate primes and prime pairings, and has super adaptability.

That is of great use. It not only promotes the development of number theory, but also plays an important role in applications.

For example, used in the most popular deep learning and machine learning, the characteristics of random primes can not only be used to optimize algorithms, model parameter selection and feature selection, but also play a role in random weight initialization and generation of adversarial networks.

So the criticisms that I had prepared were suppressed, and when I spoke again, they became compliments: "You have a good idea. This is what mathematics research is like. You really need to think more broadly."

"Thank you, Director Tian. Director Tian, ​​if there's nothing else, I'll leave first."

"Well, let's go. Have a good rest today. The seminar will be held at the Huaqing Mathematics Research Center next Monday, so hurry up." "Okay, don't worry." With that, Qiao Yu walked out of the office with high spirits.

.

Tian Yanzhen smiled, then picked up the pen again, and was about to continue writing comments, when he suddenly felt something was wrong...

When the kid was assigned the topic of random prime number distribution, Qiao Yu was still reluctant. He just wanted to have a good rest during the training, and even begged him to make a mess in order to avoid the weekly reading and research and development reports.

Such tasks.

But when he was studying the paper on the geometric Langlands conjecture, he didn't want to rest at all. This attitude changed a bit quickly, and it was a bit too big, right?

But after a second thought, Tian Yanzhen took the initiative to find a reason for Qiao Yu...

Maybe you are attracted by high-quality papers? As a math genius, this is normal...

After telling the lie, Qiao Yu returned to the room. He did not rest. Instead, he followed Tian Yanzhen's instructions and checked the official website for the list of experts who would attend the seminar, and then continued to read the paper.

After all, fooling the instructor is a technical job.

And in many cases, whether it's really a fool's errand depends on the results.

For example, although he gave a reason that sounded ridiculous, if he could really use these ideas to make a model, it would not be a fool, but that is what he really thought at the time.

The same goes for bragging.

If you say in public that you want to achieve a goal that others think is impossible, if you don't achieve it, it's bragging. If you achieve it, you're stating the facts, or you're really awesome.

Before he succeeded, a certain father named Ma once said, "In the future, shopping will be done online, and most goods will be sold online." It sounded unreliable at the time, but he succeeded in the end.

So much so that after he said in public that he didn't like money and had no interest in money at all, it was difficult for others to refute him. Because there were really not many people who could throw money at him, but he often used money to throw money at others.

So as long as you are good enough, no matter how you talk nonsense, others will believe it.

In fact, mathematics is similar. As long as you are good enough and others can't find any flaws in the articles you write, then you have to admit that you are right.

Of course, this requires a little effort as a price. Fortunately, this is what Qiao Yu is most interested in, so there is nothing wrong with working hard...

In the first few days after returning to Yanbei, Qiao Yu came here while studying hard for his thesis.

Except for calling Qiao Xi on the Qingming Festival, and solemnly entrusting Qiao Xi to go to the cemetery to pay homage to his grandparents, with his ray of grief, he had almost no contact with anyone else.

Oh, by the way, in fact, Senior Brother Chen came to see him once.

He really let him find out some secrets that were spread privately among the overseas students. However, after Qiao Yu heard about it, he forgot about it. After thanking Senior Brother Chen, he told him not to ask anymore. After all, Chen Zhuoyang has been very busy recently.

Preparing for graduation defense. The date has been set.

Although the thesis itself is relatively weak, you still have to ensure that there are no big mistakes during the defense - you can't let your supervisor be too embarrassed. So there are actually quite a lot of things to prepare.

Qiao Yu likes this kind of tranquility.
To be continued...