Qiao Yu received a photo of the two of them on WeChat. Senior Brother Chen smiled silly. Qiao Yu took one look and ignored it.
How should I put it, young people who have never been in love are like this. Once they have a girlfriend, they want to tell the world.
Little do you know that showing affection will lead to death quickly.
However, it is understandable that for a man who has been single for thirty years, it is normal for him to be relatively slow in this regard.
The next day, although school hadn't started yet, it was the end of the Spring Festival holiday and the first official day of work. Lao Xue called Qiao Yu.
Discuss,the problem of modal spatialization of affine Weyl group.
Yes, at Qiao Yu's suggestion, Lao Xue has already started to deal with this problem. Anyway, it is related to group theory, and Professor Xue happened to be busy with related issues recently, so we happened to study it together.
Mainly because Director Tian pushed too hard, and Qiao Yu really had no interest in this issue.
Of course, this is also good for Xue Song. The 1.5 million related research funds from Zhang Yuanling have been received, and you will naturally be reimbursed for participating in this research.
Qiao Yu is equivalent to helping Xue Song win a project, but this project is not that easy.
Because the affine Weyl group has reflection and translation effects in high-dimensional space, especially the geometric properties of the bilateral cell cavity are highly complex.
Therefore, it is necessary to first determine the relationship between the modal path Γ and the group action invariant, and ensure that these symmetries are compatible with the periodicity of the modal space.
For example, if the modal distance dM defined in the modal space is used as a geometric distance to weigh group effects, then it is necessary to prove that dM is conservative under group effects.
This was obviously very troublesome. Xue Song couldn't find the idea of ​​proof, so he called Qiao Yu.
This is probably authoritative treatment.
When people encounter a professional problem and don't know how to solve it for a while, the first person who comes to mind who can provide help is naturally a well-deserved authority.
Qiao Yu, who recently felt extremely active in thinking, was really helpful and directly gave Xue Song two suggestions: equivariant mapping and invariant theory.
Of course, this is just a suggestion. How to use these tools to complete the proof is Xue Song's job.
After all, Qiao Yu is also very busy. He still feels that there is only a layer of window paper between him and the Riemann Hypothesis.
Naturally, it is impossible to focus on these small projects.
Anyone who doesn’t understand mathematics knows that the Riemann Hypothesis can bring higher value, whether it is fame or fortune.
However, after the academic discussion, Qiao Yu still said a few gossips: "Teacher Xue, Chen Zhuoyang and Zhang Xiao are together, you don't know yet, right?"
"Oh? Chen Zhuoyang told Zhang Xiao?"
"Eh? You also know that Chen Zhuoyang likes Zhang Xiao?"
"I'm not blind. Chen Zhuoyang made it obvious on your birthday."
"Then you really don't want to find one?"
"I'll forget it! I'm already past that age. How can women be interested in mathematics?"
"Teacher Xue still sees clearly!" Qiao Yu praised sincerely.
Of course, it was just a compliment.
People have different perceptions at different ages. For example, a guy like Lao Xue, who is almost forty years old, has almost stopped secreting hormones. Naturally, he has no interest in women.
"By the way, what have you been busy with recently? Are you still looking at the calculation problems in aviation?"
After talking about irrelevant love, Xue Song took the initiative to express concern.
In fact, he also wanted to advise Qiao Yu not to waste too much time on these calculation problems. After all, the generalized modal axiom system has triggered a wave of research in the international academic community.
It is generally acknowledged that although the axiom system constructed by Qiao Yu is also very abstract, compared with Langlands Program, at least it is easier to understand in the early stage.
Xue Song has been doing research in this area, so Xue Song may even pay more attention to the discussion of the generalized modal axiom system in the international academic community than Tian Yanzhen and Yuan Zhengxin.
At least as far as he knows, several research teams have begun trying to extend the framework built by Qiao Yu in geometric algebra and physical dynamic systems.
Because of the possibility of geometricization and application, this framework is easier to promote in the early stage. In particular, the universality of geometric description is more attractive to many young people.
After all, Qiao Yu has used this system to reduce the upper bound of prime numbers to 6.
If this momentum continues, Xue Song can foresee that Qiao Yu's system of generalized modal axioms may be called Qiao Yu's program next year.
This can be seen from the number of citations of Qiao Yufa’s paper.
Only three short months have passed, and the number of citations has exceeded 900, heading towards over a thousand.
You must know that in the field of mathematics, this can be evaluated as a phenomenal number of citations. It is extremely rare for papers in the field of pure mathematics to reach this level.
Papers that have been cited nearly a thousand times over several years, let alone three months, are generally the kind of papers that have made major breakthroughs.
The last time such a grand event occurred was the machine deep learning paper published by Jeffrey Hinton and others at the ImageNet Challenge in 2012, which was cited more than 1,000 times in three months.
But although that paper involved a lot of mathematical content such as linear algebra and probability theory, its essence was dominated by computer science.
Qiao Yu's article belongs to the field of pure mathematics and is not interdisciplinary. This shows the current popularity of the generalized modal axiom system in the world of mathematics.
This is not only because of the system's ability to solve a series of problems, but also because it can unify complex mathematical symbol problems, which is why it is so popular among young mathematicians.
Therefore, in Xue Song's opinion, Qiao Yu is somewhat neglecting his job now. It doesn't matter if he talks about love, but there is no need to get involved in calculation matters.
Anyway, what Qiao Yu needs to do now is to continue to study this system in depth, develop more modules, and try to solve several big problems in order to establish his position in the world of mathematics.
It would be a real pity if those foreign teams arrived later and Qiao Yu lost the center position of this wave of craze.
Of course, Xue Song doesn't mean that the aviation project is unimportant. The main thing is that you have to clearly prioritize things. For example, Qiao Yu's development path should obviously be towards mathematics.
So if Qiao Yu said yes, he was going to give him some advice. But Qiao Yu's answer turned him off...
"No, actually the calculation problem there is very simple. The main modules have actually been designed. Senior Brother Chen and the others are in charge of the specific work.
So actually my main focus recently is on how to solve the Riemann Hypothesis. I have a feeling that I am very close to solving this prime number problem! You know, I didn't plan to solve this problem originally, hey...
"
Qiao Yu replied.
To be honest, he had no intention of doing the Riemann Hypothesis. Not only was this subject too big, but it was also impossible to directly tell everyone the location of a specific prime number.
The proof process might even make finding prime numbers easier, strengthening algorithms like RSA encryption.
For example, it can be easier to generate larger and more secure prime numbers to prevent existing key lengths from being easily broken.
Moreover, Qiao Yu has not yet found a more effective large integer decomposition algorithm from this process. At the mathematical level, the number field screening method is still the most effective large integer decomposition algorithm.
As for the so-called quantum chip developed by Google, using the Shor algorithm to threaten RSA keys is still in the theoretical stage. After all, it is not easy to break through the stable operation of quantum chips.
Of course, Qiao Yu felt that what he said was sincere, but in the ears of others, he could only say that he knew what he was saying.
Xue Song was so choked that he forgot what he wanted to say just now. There were only four words left in his mind - Riemann Hypothesis.
"Well, Riemann Hypothesis, right? It's very close? How close? Can it be solved soon?"
"I don't know. I'm proving that my feeling is right. This involves a directional issue. But Teacher Xue, you should know that my feeling has not been missed so far."
After finishing speaking, Qiao Yu felt that it was not rigorous enough, so he quickly added: "No, what I said is that I haven't missed the feeling in mathematics."
Yes, the words just now reminded Qiao Yu that he had guessed wrong just now. He originally thought that Zhang Xiao would not like the type of senior brother Chen, but obviously he was wrong.
After all, humor is simply invincible. He still hasn't figured out why Chen Zhuoyang is so humorous.
"Oh, then if your judgment is correct, when will this problem be solved?" Xue Song asked again.
After all, that is the Riemann Hypothesis.
Mathematicians or teams who have publicly researched related propositions are all top figures in the field of mathematics. Whether they are living or deceased.
For example, Bombieri, Polya, and Pierre Delini. Others have claimed to have proved the Riemann Hypothesis, but unfortunately they have not been recognized by their peers.
The well-known ones include Sir Atiyah and the less well-known ones include Indiana University professor Louis de Bruyne.
Of course, strictly speaking, Qiao Yu is now considered one of the world-renowned mathematicians.
Even though he is still a sixteen-year-old student, the generalized modal axiom system is very popular in the world of mathematics, and his name is also known to many young mathematicians.
"It's really hard to say. It could be three months or half a year. But it will definitely not be more than half a year! If my judgment is correct, then there will be some stupid ways to prove it.
You also know that although the stupid method is a little slower, as long as the direction is right, at least you won't waste time just because you find that this road is blocked and then start over."
Qiao Yu answered truthfully.
It's not that he wants to hide his secrets and doesn't want to go into detail. The main reason is that he hasn't finished his work. No matter how much he talks, it's useless.
Xue Song is not easy to ask.
After all, it would be impolite to inquire about details that others are still researching, no matter where they are.
He didn't know what to ask. Even if it took half a year to figure out the Riemann Hypothesis, it was already something he could hardly imagine.
If it succeeds, there is no doubt that Qiao Yu will become a leading figure in the world of mathematics.
As for the stupid method mentioned by Qiao Yu...
Well, the technical means that can solve the Riemann hypothesis are beyond the reach of a group of people no matter how stupid they are.
"Don't tell me, Teacher Xue, I can actually discover this pattern thanks to the chief engineer. I was studying what they needed to calculate, and then I discovered this pattern."
"That's it!" Xue Song replied casually. Well, in fact, he no longer knew what he was talking about.
After casually chatting with Qiao Yu for a few more words, he hung up the phone.
It was only after he hung up the phone that he remembered that he had wanted to tell Qiao Yu not to put too much energy into those calculations.
It turns out that this kid Qiao Yu found inspiration by helping people do these calculations. Who can he talk to for explanation?
There can only be some people who are purely fed by God and feed it directly into their mouths if they don’t want to eat. Thinking about it this way, Xue Song felt much calmer.
There is no way, there are such people in all walks of life, and you can't accept it! It's just that Qiao Yu happened to shine in the field of mathematics.
After thinking too much, Xue Song felt a little dizzy and planned to go out for a walk to calm down.
As a result, as soon as we got down to the courtyard of the research center, we met Tian Yanzhen walking in.
Xue Song quickly stopped and said hello: "Professor Tian, ​​good morning."
"Xiao Xue, what are you doing so early?" Tian Yanzhen asked.
"Oh, I was so dizzy thinking about a problem last night. I discussed it with Qiao Yu this morning and felt that I had gained something. I plan to go for a walk by the lake to see if I can think about the problem clearly."
Xue Song answered.
Those who do mathematics do not necessarily have to stay in the office to be called working.
Many times when I don’t have an idea, I just go out and walk around, and maybe an idea will come to me. This is normal. As long as you don’t go out for a walk during class, no one will care.
"Oh, you should wear more clothes when going out, it's cold outside." Tian Yanzhen reminded.
Although the Spring Festival has passed, it is not yet the time to turn off the heating in the north in February, and even during the day it is only a few degrees.
"It's okay, I'm used to it."
Xue Song responded with a smile. He was planning to leave, but he reported again by mistake: "By the way, Qiao Yu should have reported it to you, right? He has ideas for solving the Riemann Hypothesis."
Tian Yanzhen, who had already taken a step forward, stopped, looked at Xue Song, and asked, "What did you just say about Qiao Yu?"
Xue Song was stunned for a moment. He remembered that Qiao Yu loved reporting to his mentor the most. When attending a report meeting, he had to report any thoughts he had, but looking at Tian Yanzhen's reaction, it seemed that he hadn't said anything yet?
But having said it all, naturally I couldn't take it back, so I smiled and said, "Maybe I want to give you a surprise? When I just talked to him on the phone, he said that he was studying the Riemann Hypothesis recently."
"Riemann Hypothesis? Are you sure that guy is not joking?" Tian Yanzhen asked seriously.
Xue Song shook his head and replied: "It's definitely not a joke. After all, he said he already had a general idea. But he also said that the method of proof was a bit stupid. But what the specific method was, I couldn't ask. He also predicted
It is estimated that this problem will be proven within half a year at the latest.”
"Oh, that's it." Tian Yanzhen nodded and his expression returned to normal, but he asked again: "Is he studying here now?"
"I just went to see him. No one was there. He must be in Huaqing. After all, the New Year is not over yet. I definitely want to stay with my mother. After all, he is still young." Xue Song helped Qiao Yu explain.
"Oh, that's it. Okay, I won't delay you from going for a walk. You can go quickly."
After chatting, the two said goodbye and left.
After walking out of the yard, Xue Song thought about it and took out his mobile phone to send Qiao Yu a WeChat message. Although Qiao Yu told him casually and did not specifically tell him to keep it secret first, Xue Song felt that he should still tell Qiao Yu.
.
How should I put it, although it is clear that Qiao Yu is only sixteen years old, at this level, everyone no longer subconsciously regards Qiao Yu as a child.
"I just met Professor Tian when I went out, and I casually chatted with him about your research on the Riemann Hypothesis. I didn't know you hadn't told Professor Tian yet, I'm sorry."
There was no immediate reply on WeChat, but Xue Song didn't pay much attention to it. Thinking about it carefully, although Tian Yanzhen looked normal, he probably couldn't help but make a phone call to ask for clarification when he heard the news, right?
Anyway, if he learns that one of his students is challenging this problem and has some insights, he will definitely call and show concern as soon as possible. This is human nature.
Wait, he doesn't seem to have a student like Qiao Yu. Thinking about it this way makes people feel much more relaxed.
It is not easy to teach students with this kind of problem.
…
Xue Song's guess was indeed correct.
As soon as the two said goodbye, Tian Yanzhen walked into Building 1 where he worked and took out his mobile phone to make a call to Qiao Yu.
Even what he said was similar to the message he sent.
"Qiao Yu, I just met Professor Xue when I came to the office. He said you were studying the Riemann Hypothesis?"
"Huh? Professor Xue told you. Originally, I planned to wait until I finished the first step before reporting this matter to you."
"What do you mean by completing the first step?"
"Just to make sure that my idea is correct. First of all, I must prove that the zero point problem of the ζ function can be modally mapped, and then give the complete proof process, right?"
"Didn't you say before that you still lacked tools?" Tian Yanzhen asked with a frown.
"It's quite a coincidence that this happened. When I made an orbital disturbance mode model for aviation before, I found that the normalized relationship is highly consistent with the ζ function.
Therefore, as long as it is proved that if the distribution of the former under the conditions defined by the ζ function results in the integral having the same analytical structure and convergence properties as the ζ function, it proves their consistency.
Although one is a continuous integral and the other is a discrete summation, you only need to use the Poisson summation formula or Merlin transformation to establish an equivalent relationship between the continuous integral and the discrete summation.
I am still thinking about which mathematical tool to use to prove it is simpler. As long as this step can be achieved, since aviation data can be processed, the Riemann function can naturally also be processed.
As long as the modal mapping step is completed, the next step is simple. Modal paths, constructing modal convolution verification distributions, and even using energy functions to verify modal theory tools can be used. The proof is naturally simple..."
"Okay, stop talking. Is it true that Professor Xue said that you can have results within half a year?" Tian Yanzhen interrupted Qiao Yu directly. He was too lazy to listen anymore.
Now, as long as it comes from Qiao Yu's mouth, everything sounds very simple. If you really want to get started, you will know how difficult it is.
During the Chinese New Year period, Liu Zhaoyuan from the Institute of Computing Technology told him twice and asked him to remember to arrange for Qiao Yu to give a lecture to the team there.
What Qiao Yu said was very simple and obvious, but the team of researchers formed by the other party still had a lot of question marks.
"Um...actually, it's all bragging with Professor Xue. Let me tell you the truth. In one year, at most, I should be able to solve this problem."
"Bragging? Do you have a solid relationship with Professor Xue or do you have a solid relationship with me?"
"Of course I'm telling you the truth! If I can do it in advance, it must be because of your good teaching, which made me improve again without knowing it!"
Chapter completed!