Top academic

Chapter 146 If you want to apply, apply for a key research project!

"Isn't your design of modal dependency too arbitrary?"

"Grandpa, how can it be so casual? This is to leave enough room for future expansion. Integers can also be extended to P-adic numbers. So the structure of modal numbers is the same.

As long as it is systematically defined using specific modal mappings or directly using modal equations, the consistency and interpretability of the mathematical structure can be maintained..."

……

"Isn't the definition of your modal volume operator too complicated? Show me how to operate one!"

"No, Grandpa, this just looks complicated. It is actually a generalization of the classic convolution. For elements that generally satisfy rotational symmetry, the convolution operation does not change with the position in space.

For example, in the modal space on the unit circle, the uniform measure dμ(x, y)=dθ in polar coordinates can be used, and the convolution no longer depends on complex multivariate measures.

If it is in a symmetric modal space, since the convolution maintains symmetry, the convolution calculation can be simplified by Fourier transform. Simply convert the convolution operation into a product in the frequency domain.

Come, I will give you an example, but don’t worry, let’s do it one by one, starting with the symmetric modal convolution formula. We directly translate two functions from the classic convolution and sum them…”

As he spoke, Qiao Yu picked up a piece of paper and a pen.

One old and one young, one asking and one answering. But the questions were few, and the answers were many...

Every time Mr. Yuan asked a question, Qiao Yu would give a lot of answers, and occasionally he would even take a pen and write a lot on paper to explain.

Tian Yanzhen and Zhang Yuantang on the side also lost interest in chatting, so they simply moved behind the old man and Qiao Yu to see Qiao Yu's reasoning.

Just like that, the three big guys gathered together and surrounded Qiao Yu in the middle.

This was the scene that Tian Yanzhen's assistant, Xiao Li, who didn't have a name yet, saw when he took Qiao Xi to open the office door.

Xiao Li was still hesitating whether to say something, but fortunately Tian Yanzhen heard the noise and looked up.

It was surprising, but I reacted immediately.

"Qiao Xi is here, please come in."

Qiao Yu, who was doing the deduction, immediately looked up when he heard Qiao Xi's name and called out in surprise, "Mom."

After taking a look at Qiao Xi, Mr. Yuan said seriously, "Qiao Xi, please sit down first. We need to wait for a while while Qiao Yu explains some of his ideas."

Zhang Yuantang was a little confused as he looked at the woman standing at the door who looked like a celebrity.

Is Qiao Yu’s mother so young?

Noticing that an old professor he had never seen before was looking at him, Qiao Xi smiled and nodded as a greeting.

"Okay, Mr. Yuan, Professor Tian. Qiao Yu, just focus on your explanation."

He said it softly, exchanged glances with Qiao Yu with some curiosity, and then shook his head slightly. Qiao Yu lowered his head, but he worked on the manuscript a little faster.

Qiao Xi found a random seat and sat down, looking curiously at the three old men surrounding Qiao Yu, looking serious and thoughtful.

There were no empty seats around Qiao Yu, and she was too lazy to go over and join in the fun. Seeing that the two academicians were listening so attentively, she probably couldn't understand.

Qiao Xi even suspected that Qiao Yu did it on purpose and chose today to show off in front of her.

Qiao Xi had long been accustomed to it. Since childhood, Qiao Yu had always shown off in front of her grandfather in a way that was different from other children.

In the words of this guy: "Language is the paleest, most powerless and most worthless thing in the world."

Qiao Xi didn't even know where the then-young Qiao Yu got these messed up ideas from.

She suspected that it was Qiao Yu's grandfather who taught her. The old man loved to talk to children about things that children should not understand, but Qiao Yu's grandfather would never admit it unless he was caught in the act.

Well, for Qiao Xi, time alone is not difficult to endure. There will be no loneliness, boredom, embarrassment, or being ignored and other messy negative emotions, and she will not speculate on other people's thoughts.

Because as long as you sit there quietly and empty your mind, the difficult time will pass in a daze.

"These are all I can think of now. I think this framework is feasible. I feel that as long as I build this axiom system, I will definitely be able to solve the twin prime conjecture in the future."

Qiao Yu concluded.

After saying that, he glanced at Qiao Xi who was sitting opposite him, and then revealed a very youthful smile.

In fact, considering Qiao Yu’s age - a sixteen-year-old boy, as long as he smiles, he should have a youthful feeling.

But if it wasn't in front of Qiao Xi, Qiao Yu's smile was rarely so pure.

"Well, it's interesting, very interesting. If this is really made, it should be included in the textbook."

Yuan Zhengxin said something while holding Qiao Yu's manuscript.

"Yes, let's not talk about other meanings. Given the current level of confusion in mathematical symbols, the emergence of such a programmatic system can at least unify mathematical symbols.

The last paper I reviewed used both sharp and flat clefs. If this continues, I suspect that even treble and bass clefs will be used in math papers.”

Zhang Yuantang echoed from the side.

Tian Yanzhen shook his head and said, "This concept cannot be described by a single framework. It is an extremely inclusive research platform.

In particular, the significance of putting number theory into a geometric context and breaking down number theory problems into geometric space for analysis is beyond words. The purpose of inviting you here is to discuss how to do this project. "

After the three of them expressed their opinions, Qiao Yu said, "Well, how about I take my mom out for a walk first?"

Without waiting for Tian Yanzhen to answer, Yuan Zhengxin smiled and patted her shoulder, saying, "Go ahead, go ahead, but Qiao Xi, don't let Qiao Yu run too far. Let's go eat together after we finish talking."

"Okay, Grandpa."

After saying that, Qiao Yu stood up, walked to Qiao Xi, and said, "Mom, let's go, let the professors discuss things, I'll take you around first."

"Yeah." Qiao Xi stood up, nodded to her mentor, her son's mentor, and Professor Zhang Yuantang opposite her, then took Qiao Yu's hand and walked out of Tian Yanzhen's office.

……

"Any new results?" Qiao Xi asked his son after walking out of Tian Yanzhen's office.

"Yes, great achievements." Without the exaggeration and eccentricity when reporting to Mr. Yuan, Qiao Yu said seriously.

"Oh." After agreeing, the two of them walked out of the small building. Qiao Xi felt that the feeling of communicating with Qiao Yu today was a bit novel.

Last time she came just to see Qiao Yu, but this time she will settle down in Beijing for a while and officially start her university life.

Qiao Yu also changed from her son to someone like a classmate or even a fellow student.

"Why don't you ask me what my greatest achievement is?" Qiao Yu finally couldn't help but turned his head and looked at Qiao Xi and said.

Qiao Xi said confidently: "Because even if you tell me, I definitely won't understand."

Qiao Yu felt that this was probably one of the reasons why Mr. Yuan took a liking to his mother.

He even suspected that Qiao Xi herself didn't know that she had the ability to get to the heart of any problem and always left him helpless.

However, this did not affect Qiao Yu's arrogant explanation: "I have constructed an axiomatic system that can discuss number theory and geometry in the same system.

That is to say, I will study number theory and you will study geometry, and we can still work together on the subject. I will break down the number theory problems that need to be solved.

By then, I will be able to select you to join my team to be responsible for the analysis and proof of the geometry part. So, Qiao Xi, you must seize the time and study hard. "

"Qiao Yu!" Qiao Xi stopped and looked at her beloved son.

"What?" Feeling that he had performed well, Qiao Yu glanced at his always gentle mother.

"What did you call me just now?"

"Student Qiao Xi, what's wrong? This world is dynamic, and the names can of course change. For example, at home I should call you mom, but we are at school now.

Well, isn’t our relationship at school just like this… Ouch… Mom, mom, stop twisting it, your ears will really fall off, it hurts…”

"Oh, then what should you call me at school from now on?"

"Mom, it has to be Mom."

"Well, Qiao Yu, you are still the same as when you were a child, so well behaved!"

……

The professors who were still in the office naturally would not care about the little episode between the mother and son in the yard.

After all, they knew better than Qiao Yu the significance of this fantastic idea to the mathematical community.

From the Langlands Program to the Geometric Langlands Program...what the Western mathematics community has always wanted to do is to build a bridge between different research directions in mathematics.

The Langlands Program, in particular, has long been recognized as one of the most ambitious and far-reaching theories in modern mathematics.

Its core idea is to try to establish a deep connection between two seemingly unrelated areas of mathematics: number theory and representation theory.

And through this connection, a new unified perspective is provided, building a bridge between different branches of mathematics.

Qiao Yu geometrized number theory by constructing a geometric environment and using geometric tools such as modal distance and modal convolution.

Although Qiao Yu did not propose multiple interrelated sub-conjectures like the Langlands Program, he tried to clarify the correspondence between Galois representations, automorphic forms, and specific conjectures of L functions.

But Qiao Yu has achieved a de facto conceptual unification. If it succeeds, no, it should be said that once it succeeds, it will completely rewrite the way all number theory problems in the world are studied.

And in a sense, the sub-conjectures of the Langlands program can also be included in the framework constructed by Qiao Yu for study.

Obviously this will be a milestone in the history of mathematics.

So for many people, this ordinary day may be a witness and participation in history.

……

"This project must be applied for a national foundation project." After Qiao Yu left the office, Tian Yanzhen spoke directly.

Yuan Zhengxin nodded, and then said bluntly: "Qiao Yu was trained by us together."

Zhang Yuantang couldn't help but ask, "Qiao Yu is already a graduate student? If I remember correctly, Hua Xia used to need at least a graduate student's project to apply for the National Foundation, right?"

Tian Yanzhen smiled and explained: "That was in the past. Since the year before last, we have been trying to allow outstanding undergraduates to apply for national foundation projects.

There are currently eight universities in China where outstanding undergraduates can apply for the National Natural Science Foundation. Our Yanbei University and Huaqing University happen to be among these eight universities.”

Zhang Yuantang opened his mouth but said nothing.

Wow, you can apply for national foundation projects during undergraduate studies.

Of course, Zhang Yuantang did not mean that Qiao Yu’s idea was not worthy of applying for the National Foundation. He mainly felt that Qiao Yu was a complete exception.

However, if it is only piloted in eight universities, there is nothing wrong with it.

After Yuan Zhengxin patiently listened to Tian Yanzhen's explanation, he said, "Well, let's submit this as a joint project between Huaqing and Yanbei's two major mathematical research centers.

Qiao Yu will still be the project leader. You should help Qiao Yu write the project plan as soon as possible. In addition, not only should we apply for the National Foundation, I think this project should also be reported to the National Key R&D Program. "

Tian Yanzhen laughed. He had specially called Yuan Zhengxin to invite him for this purpose.

For other undergraduates, applying for natural science foundation projects may be difficult.

But if it was Qiao Yu, it wouldn't be that difficult. Not to mention that he was Qiao Yu's mentor.

Even if he was not Qiao Yu's mentor, the mere fact that Qiao Yu gave a 60-minute report at the World Congress on Algebraic Geometry this year was enough to give the judges of the National Natural Science Foundation Review Committee some idea.

But it is not so easy to apply for the national key research and development plan. In the final analysis, Qiao Yu is too young.

Being a sixteen-year-old project leader for a key R&D program will undoubtedly cause great controversy.

As the saying goes, where there are people, there are rivers and lakes. Who can guarantee that Qiao Yu can definitely make this framework?

As long as people give some reasonable doubts, or even use the excuse that you are still young and don't be so anxious, the matter can be delayed.

It would be a bit difficult for him or Yanbei University to push this matter forward alone. But if Huaqing, represented by Mr. Yuan, also pushed forward, the situation would be different.

"What you said is true, I think so too. No matter what, we must report it. After all, once this project is successful, it will be helpful for analyzing, optimizing, gaming and regulating various complex systems.

We at Yanbei University will set up a special team to take the lead in promoting this matter, and we will need you to cheer us on when the time comes. Of course, it will still be in the name of joint research between the two sides."

Tian Yanzhen followed Yuan Zhengxin's words.

Yuan Zhengxin glared at Tian Yanzhen, but when he thought about the fact that Qiao Yu was still enrolled at Yanbei University, he swallowed the words that were on the tip of his tongue.

But he added: "Okay, but since it's a joint research, the number of people from Huaqing participating in this project should be roughly the same as that from Yanbei."

Tian Yanzhen nodded, and then added: "I think Qiao Yu will also consider this. And since he is the proposer and person in charge of the project, why not let him decide. We each provide him with a list and let him choose for himself, how about that?" Yuan Zhengxin nodded. At least Tian Yanzhen had no selfish motives in making this proposal. Even if there was selfish motives, it was for Qiao Yu, so he could accept it.

Not to mention that Qiao Yu has always called him grandpa, just because Qiao Xi is his student now, Qiao Yu will definitely not deliberately exclude the name reported by Hua Qing when making a choice.

"Cough cough..." Zhang Yuantang next to him finally couldn't help it. He coughed twice and successfully attracted the attention of the two people.

“In fact, I have a suggestion. Why don’t I go back and promote this collaboration? I think the University of Santa Barbara will also be interested in participating in this basic mathematics research.

I mean, if it succeeds, it can also increase the level of attention paid to this basic mathematics project. International cooperation can make this research more accessible.”

Tian Yanzhen and Yuan Zhengxin looked at each other, then Tian Yanzhen pondered for a moment and answered sincerely: "Professor Zhang, to be honest, I really hope to facilitate this cooperation.

But at this moment, I think you are still thinking too simply. The problem is probably not on our side, but on your side. "

This answer made Zhang Yuantang feel at a loss for words for a moment, and even a little frustrated.

Because what Tian Yanzhen said is actually correct. It doesn't mean that the two sides can't cooperate at all now. Especially in the field of basic mathematics, there are still channels for communication.

But if we really want to cooperate, there are many things that need to be reviewed, and they are very detailed, and may even cause trouble for the school.

Therefore, for schools, most of the time they adopt the attitude that it is better to have less trouble than more.

Who could have imagined that after decades of advocating global integration, the world would become increasingly closed, even affecting basic academic research.

For those who are devoted to academic research, this is obviously abnormal. But unfortunately, they can't change anything.

However, Tian Yanzhen changed the subject and said, "But I have a suggestion. If you are also interested in this project, why don't you cooperate as an individual?"

While Zhang Yuantang was still thinking, Yuan Zhengxin suddenly said, "By the way, is the National Natural Science Foundation Review Group meeting going to be held next Tuesday?"

"Yes, Mr. Yuan." Tian Yanzhen replied.

"I'll go there this time too." Yuan Zhengxin said immediately.

Tian Yanzhen nodded.

The old man is also one of the leaders of the expert team of the review committee. He was too lazy to participate before. If he wanted to participate, he would definitely have a seat.

"By the way, I took the child's manuscript." Yuan Zhengxin said righteously.

The old man neatly sorted out Qiao Yu's handwritten manuscript from yesterday and what he wrote during today's lecture.

"Well, this..."

"You want him to write another one." Yuan Zhengxin said without allowing any refusal.

Tian Yanzhen stopped talking.

……

We had dinner at Yanbei University.

Qiao Yu was in a bad mood.

It turns out that for a filial child, bloodline suppression is an almost unsolvable problem.

Since we are classmates, my mother can pull his ears without hesitation, which means that even if we really become teacher-student relationship, my mother will still pull his ears without hesitation.

He still had no place to reason.

Well, Qiao Yu admitted that he was still childish. Unless he could treat Qiao Xi the same way he treated outsiders, he would always be bullied by his own mother.

Professor Zhang Yuantang also looked a little worried. On the other hand, Professor Yuan and Director Tian were in high spirits. Although they didn't drink, it was obvious from their attitude towards Qiao Xi.

In fact, compared with the three professors, Qiao Xi can be considered a young man, even compared with Tian Yanzhen and Zhang Yuantang.

But everyone was very polite and didn't talk about mathematics at the dinner. They only talked about the customs and culture of Star City.

A new generation of internet celebrity city, there is always something to talk about.

After dinner, Tian Yanzhen, together with Qiao Yu and Professor Zhang, sent Yuan Zhengxin and Qiao Xi to the car.

Qiao Yu actually wanted to check out Qiao Xi's accommodation arrangements in the evening, but Tian Yanzhen did not allow it.

Yuan Zhengxin didn't make a decision for him, and even joked before leaving: "Don't worry, Grandpa promises to make all the arrangements for your mother. If you are not satisfied when you come to Huaqing tomorrow, just come to Grandpa for trouble."

……

After watching Mr. Yuan leave, Tian Yanzhen took Qiao Yu to send Professor Zhang to the hotel, and then took Qiao Yu back to the research center.

"Come with me to the office."

"Ah? Director Tian, ​​it's so late today, why aren't you going home yet?"

"What? You still want to sneak to Huaqing after I leave? Forget it. I'm not free tonight."

"Um...mathematicians have to work night shifts?"

"What's that? Mathematicians only need their brains to do scientific research. Have you been to a chemistry laboratory? They not only need brains but also physical strength to do scientific research! So don't worry, you will have many opportunities to work night shifts in the future!"

……

Following Tian Yanzhen into the office obediently, Qiao Yu found that two stools had been placed next to his tutor's desk.

"Come, sit next to me."

Well, it seems that I really have to accompany him.

Qiao Yu sat down obediently, and then saw Director Tian turn on the computer and call up a bunch of files.

"I will guide you to fill out some formatting information tonight. You can go back and fill out some technical content. Submit them to me tomorrow."

"Application for the National Natural Science Youth Fund?"

"Yes, the first funding category is major research projects."

"Um... this... are you sure it's a major research project?"

"Fill it in if I ask you to."

"Oh, what about this subcategory description?"

“Mathematical logic.”

"Oh……"

Qiao Yu stopped talking nonsense and filled out the application carefully according to Tian Yan's request, but he couldn't help but think of what Lao Xue had said to him...

"You just need to find a good mentor who can handle it..."

The experience of people who have been through it is really useful.

If I change my supervisor, I probably won’t have the courage to ask him to apply for a major research project directly…

This sounds very grand and elegant, doesn’t it?
Tian Yanzhen kept chattering beside me: "The auxiliary instructions must be based on the guidelines. You will apply more than once in the future, so you must remember a lot and check it out.

The research team has not been established yet, but I will give you a list in the next two days. The team members are from Yanbei and Huaqing, and you can choose them yourself..."

"Ahem...Um, Director Tian, ​​can I choose Professor Xue?"

"I will put him on the list. The company needs to include us and Huaqing's Mathematical Research Center... You should have no problem with the abstract. It's best if it's more concise than the thesis abstract..."

……

Just like that, when Qiao Yu came out of Tian Yanzhen's office, it was already past ten o'clock in the evening.

But I have only filled out a small part of the application. I haven't filled out the long parts yet.

For example, many contents should be filled in, such as the basis for project establishment, research content, project features and innovations, annual research plan, and expected research results.

Especially since the two sides jointly established the project, he also specifically explained the reason...

In addition, he also has to write a nice resume for himself.

God bless him, he is only sixteen years old and already old enough to write a resume.

However, Tian Yanzhen had already explained the key points of filling in these contents to him in full, so Qiao Yu had a general idea of ​​how to write it.

To be honest, Qiao Yu actually had nothing to be dissatisfied with.

To have a top academician mentor spend more than two hours guiding him in filling out such a project proposal is definitely a blessing that can only be earned in several lifetimes.

It is no exaggeration to say that if it was Chen Zhuoyang who dared to make such a request, Tian Yan would be flattering him by saying "get out".

Qiao Yu suddenly felt sorry for this senior brother.

Why are you in such a hurry to graduate? Otherwise, maybe I can take him to participate in this major national research project. Once this project is completed, won't his resume be impressive?

On the way back to the room, Qiao Yu was still thinking about various ideas, but when he sat in front of the computer, he no longer thought about them.

Director Tian and Mr. Yuan had given him the opportunity, so he naturally had to make good use of it. He didn't feel sleepy anyway, so he planned to write down the basis for the project, the research content, and the features of the project while his mind was still clear.

In Director Tian's words, these are the most important things. He even hinted to him that he should not be afraid and should brag as much as he can, because he and Mr. Yuan will help him...

What a coincidence...

He's pretty good at this.

I had just written 2,000 words in the project proposal when the phone suddenly rang.

Qiao Yu originally thought it was Qiao Xi who called him after she settled down, but when he picked up the phone, it turned out to be Professor Xue.

"Hey……"

"Qiao Yu, Academician Tian wants to apply for a national key project for you?"

"Um... is it that news spreads quickly or that you are particularly well-informed? Professor Xue, to be honest, I only knew about this news less than three hours ago."

"Nonsense, Academician Tian just asked me if I was interested in joining this research group. What project are you going to do?"

"Ah, you refuse to join this project?"

"How is that possible?! This is a national key project, how could I possibly refuse it?"

"Then Director Tian didn't tell you the details of the project?"

"I didn't have time to ask. Academician Tian just asked for my opinion and then hung up. Maybe he was in a hurry to ask other people."

"Oh, it's nothing. Professor Zhang Yuantang came. After talking to him, I felt that it was too inconvenient to study number theory problems now, so I designed an axiomatic system myself.

I had planned to discuss the rationality of this system with Professor Zhang and Director Tian today, but after listening to it, Director Tian called Mr. Yuan to Yanbei. I don't know what they talked about.

Anyway, after dinner, Director Tian pulled me into his office and insisted that I apply for this thing in front of him. Hey, Professor Xue, you don’t know, it’s so troublesome to fill out the application for this project!
There are dozens of pages of information to fill out, not to mention the thousands of words of research content that needs to be written. Director Tian wants it very urgently. Normally, I would sleep at this time, but now I have to hurry up and write these things out..."

Qiao Yu began to complain.

There was no way. Although Yanbei University was large, there were not many people to whom he could complain and who were willing to listen to him.

But Xue Song is definitely one of them. After all, the friendship between the two of them, both teacher and friend, was built over the past six months.

However, Qiao Yu soon felt something was wrong. The other side seemed to be listening, and then there was no sound...

"Hello, Professor Xue, are you still there?"

"Yes... But since you still need to fill out the information, I won't bother you for now. I called you just to confirm this matter. Qiao Yu... Well, do your best."

"Oh, fine. You hang up first."

Hearing the busy tone coming from the phone, Qiao Yu thought for a moment and clicked on Brother Chen's WeChat.

Although Senior Brother Chen has graduated, Qiao Yu feels that their friendship still exists. When something good happens, you should think of your own people first.

And if you think about it carefully, although Brother Chen is not very good at scientific research, he is a cautious and meticulous person, and is still good at doing some auxiliary work.

So I simply took a photo of the cover of the profile and sent it to him via WeChat.

In less than three seconds, Brother Chen replied, but the message was a bit simple.

"???"

(End of this chapter)