Even the principal of No. 1 Middle School tentatively asked if he was willing to be interviewed...

When Qiao Yu was interviewed, Qiao Xi only found it interesting, but asking her to be interviewed... Qiao Xi felt that she would definitely mess everything up.

So, after completing all the procedures in Star City, Qiao Xi contacted Mr. Yuan once, and then chose to go directly to Huaqing before September.

After confirming the itinerary with Mr. Yuan, Qiao Xi invited Lao Xia and his family to have a meal at a better restaurant in Star City, and boarded the high-speed train to the capital the next day.

…

While Qiao Xi was busy processing her student registration, Qiao Yu was also busy in the capital.

In fact, Qiao Yu was also very excited during this period. It should be said that he was always in a state of excitement.

Qiao Xi actually came to Huaqing to study, which was undoubtedly the biggest surprise at this stage of life for Qiao Yu.

So naturally I am very motivated.

The proposal report on solving the twin prime conjecture has already been submitted to Director Tian.

However, Qiao Yu did not think about this issue during this period, but instead supplemented the relevant knowledge of number theory and the content of the Langlands Program.

Although Qiao Yu does have a high self-esteem, he is still a little in awe of this kind of world-wide problem.

As Tian Yanzhen said, if these problems were really that simple, a mathematician would not spend his whole life on them and get nothing.

For example, the Riemann Hypothesis, although it is one of the seven major conjectures listed in the millennium, was only proposed by Riemann in 1859.

A century and a half has passed now, and God knows how many studies and papers over the years have been based on its establishment.

Although the twin prime conjectures are two independent problems from the perspective of number theory, their commonality is that they are closely related to the distribution of prime numbers.

It can be said that if the twin prime conjecture can be proven, then the mathematical tools and techniques used will most likely also help prove the Riemann Hypothesis.

Qiao Yu wanted to prove himself as soon as possible. If telling Tian Yan that he really wanted to solve this problem directly was a bit of bragging, now he was really thinking about it.

On August 17, after lunch, Qiao Yu was reading papers in his small study room as usual.

What Qiao Yu is studying today is "Langlands' Fundamental Lemma and Its Applications".

This is a paper by a Vietnamese mathematician, Ngo Bao Chau, which is very interesting. He used geometric methods when proving the fundamental lemma of automorphic forms in the Langlands program.

This breakthrough was rated as one of the top ten scientific advances in 2009 by Time magazine, which had some credibility at the time.

It was precisely because of this achievement that the Vietnamese mathematician won the Fields Medal in 2010.

Of course, this mathematician also became the first and only Fields Medal winner in the entire Southeast Asia region.

Just when he saw the wonderful point, Qiao Yu received a call from Tian Yanzhen.

"Come to my office quickly."

After saying that, Tian Yanzhen hung up the phone without waiting for Qiao Yu's response.

Qiao Yu couldn't refuse the mentor's call.

After standing up and stretching, he hurried downstairs and came to Tian Yanzhen's office.

In fact, Tian Yanzhen is somewhat elusive in Qiao Yu's opinion.

Most of the time, he didn't know whether his mentor was at the research center.

His study and research are now increasingly in a free-range mode.

In the initial stage, half a day was set aside every week to answer questions for him. However, the time for answering questions has been canceled recently.

The reason given by Director Tian is that he now has a clearly targeted topic and no longer needs the tutor to answer questions for him.

The only thing left now is the study and research progress report on Monday. This is not what Tian Yanzhen requested, but what Qiao Yu took the initiative to do.

Of course, as a tutor, you can ignore the content of Qiao Yu's weekly reports.

But if there is no reply for a long time, Qiao Yu will ask: "Are you satisfied with my study and research results this week?"

If you don't read it yet, it will embarrass the instructor.

After all, such a good seedling will make the instructor worry about gains and losses.

You can't just respond casually with satisfaction without even looking at it.

With Qiao Yu's cleverness, he can definitely tell that the instructor has not read these things at all. Then will this kid start perfunctory in the next week?

So in a sense, Qiao Yu continued to PUA his dear mentor in a very conscious way.

The two academicians Tian Yanzhen and Mr. Yuan, no matter how busy they are, must spare one or two hours every week to understand what Qiao Yu did last week.

Of course, this method is not suitable and cannot be popularized. Let's put it this way, because if the big boss is really an academic master and does not have the talent to dare to play like this, not only will he not be taken seriously, but he may also be directly blacklisted.

The reason is also very simple. When talking about gains, if it is not handled well, many times the results that make students feel proud will be ridiculous in the eyes of well-informed bosses.

To paraphrase what a well-known tutor from Yanbei said when teaching students: "You are really amazing. You can always come up with 10,000 ways to make people feel that I am really useless in the field of education."

…

Arriving at Director Tian's office, Qiao Yu knocked on the door as usual and went straight in. To his surprise, there was another person in the office today.

"You're here, let me introduce you..."

"No need, Director Tian. I know Professor Zhang Yuantang. I have seen Professor Zhang's photo on the Internet. Hello Professor Zhang, I have read your paper, it is very exciting."

Qiao Yu answered quickly.

"Cousin Yuan, you see, this guy is not honest at all." Tian Yanzhen shook his head, pointed at Qiao Yu and said with a smile.

Of course, I'm not really angry.

Tian Yanzhen knew Qiao Yu's little thoughts and recognized him directly, which obviously showed more importance to Professor Zhang than him introducing him.

After Zhang Yuantang looked at Qiao Yu, he also laughed and sighed: "She is indeed very young. Stop standing and sit down."

After speaking, Zhang Yuantang patted the sofa next to him.

Qiao Yu immediately sat over obediently.

Of course he knew that Director Tian specially invited this professor here because he chose the twin prime conjecture.

After all, the professor in front of me is one of the top mathematicians in this field in the world.

It was precisely after this mathematician proved for the first time that there are infinitely many finite intervals between prime numbers that the number theory community launched a large-scale collaborative project.

Reduces his spacing cap from 70 million to 246.

This is all the information that Qiao Yu has recently accessed.

Mathematics is like this. Once someone gives a direction and breaks through a certain bottleneck, others will soon be able to take a big step forward.

Until the next bottleneck appears.

Although Qiao Yu did not think that Professor Zhang's method could really completely solve the twin prime conjecture and the situation where the distance was 2, the accumulated experience of these older generation professors on this issue was indeed what he needed most.

And these experiences will not be fully reflected in the paper.

After a few pleasantries, Zhang Yuantang got to the point: "I heard from your instructor that you plan to do research on the twin prime conjecture?"

Qiao Yu nodded and said, "Yes, Professor Zhang, I have always been interested in the distribution of prime numbers."

"oh?"

Zhang Yuantang smiled and asked: "You are interested in the distribution of prime numbers. Why did you stop focusing on the Langlands Conjecture in geometry? I have also read your paper and always thought that you might be more interested in algebraic geometry."

Qiao Yu opened his mouth without hesitation: "Because I have studied your paper and feel that the twin prime conjecture and Riemann Hypothesis cannot be fully proved with the existing tools, whether it is the sieve method or the automorphic form.

I think the Langlands Program may be a breakthrough in solving this problem. Starting from symmetry and the properties of invariants, try to build a new algebraic geometry framework, and even use geometric language to express the characteristics of prime numbers.

So you see, my previous research was actually the foundation for the final solution to the prime number problem. As for helping Professor Dennis’ team improve the proof of the geometric Langlands conjecture, it was an accident.”

"Accident?" Zhang Yuantang was startled, then shook his head and nodded again.

Then he glanced at Tian Yanzhen who was drinking tea. He finally knew what it means for a newborn calf to not be afraid of tigers.

I couldn't help but ask: "Then do you know what a new framework represents?"

Qiao Yu nodded and replied: "You know, for example, this means that I have to build a new axiomatic system from scratch. I also need to make this system at least recognized by the mainstream mathematics community."

After studying these days, Qiao Yu felt more confident when talking to Zhang Yuantang.

Zhang Yuantang subconsciously glanced at Tian Yanzhen, who was drinking tea silently next to him, and smiled, and continued to ask: "So you plan to do this work alone? Build a new axiomatic system, and then prove the twin prime conjecture?"

Seeing Zhang Yuantang's smile, Qiao Yu also smiled and replied: "Why not? Professor Zhang. Well, actually it doesn't have to be one person. If necessary, I may invite my mother to join my team. "

"Your mother?" Zhang Yuantang was stunned, probably because he couldn't understand where Qiao Yu's confidence came from.

In fact, if he hadn't been studying twin prime numbers, maybe he wouldn't have such doubts.

"Qiao Yu's mother Qiao Xi is currently a student of Mr. Yuan Zhengxin." Tian Yanzhen explained next to her.

After saying that, Tian Yanzhen glared at Qiao Yu.

If he didn't explain this sentence, he was afraid that Zhang Yuantang would think that Qiao Yu was fooling around.

"Oh?" Zhang Yuantang glanced at Tian Yanzhen, a little confused. He had heard of Qiao Yu's name, but Qiao Xi...

Wait, Zhang Yuantang suddenly thought of the paper Qiao Yu had just published on Ann.Math not long ago. There seemed to be a second author with such a name.

Mother and son co-authored a paper?
To be continued...