Chapter 146 If you want to apply, apply for a key research project!
“Is your modal dependency design too arbitrary?”
“Grandpa, how can it be arbitrary? This leaves enough room for future expansion. Integers can also be generalized Go to P-addition. So the structure of modal numbers is the same.
As long as it is defined systematically with specific modal mapping or direct modal equations, the mathematical structure can be kept consistent and feasible. Interpretive..."
...
"Is your definition of modal convolution operator complicated? Please show me how to operate it in detail!"
"No, Grandpa, this just looks complicated. It is actually a generalization of classic convolution. . For elements that generally satisfy rotational symmetry, the convolution operation does not change with the position in the space.
For example, in the modal space on the unit circle, the uniform measure dμ(x, in polar coordinates can be used. y)=dθ, convolution no longer depends on For complex multi-variable measures.
If it is in a symmetric modal space, since the convolution maintains symmetry, the convolution calculation can be simplified directly by Fourier transform. The product over the domain is Okay.
Come on, let me give you an example, but don’t worry, let’s go one by one. Let’s start with the symmetric modal convolution formula. We directly translate the two functions from the classic convolution and calculate And..."
As he said that, Qiao Yu picked up the paper and pen.
One old and one young, one question and one answer. It's just that he asks fewer questions and answers more...
When Mr. Yuan asked a question, Qiao Yu had to answer a lot of questions, and occasionally he would take a pen and write a lot of explanations on paper.
Tian Yanzhen and Zhang Yuantang lost interest in chatting and simply moved behind the old man and Qiao Yu to see Qiao Yu's derivation.
In this way, the three big bosses came together and surrounded Qiao Yu.
This was what Tian Yanzhen's assistant, Xiao Li, who didn't have a name, saw when he opened the office door with Qiao Xi.
Xiao Li was still hesitating whether to say a word, but fortunately Tian Yanzhen heard the noise and looked up.
I was surprised, but I reacted immediately.
"Qiao Xi is here, please come in."
Qiao Yu, who was doing the derivation, immediately looked up when he heard Qiao Xi's name, and shouted in surprise: " Mom.”
Mr. Yuan glanced at Qiao Xi and said seriously: "Qiao Xi, sit down casually for now, and wait a while for Qiao Yu to explain some of his ideas."
Zhang Yuantang looked at the people standing there. The woman who looked like a celebrity at the door was a little confused.
Qiao Yu’s mother is so young?
Noticing that an old professor whom he had never met before was looking at him, Qiao Xi smiled and nodded as a greeting.
"Okay, Mr. Yuan, Professor Tian. Qiao Yu, please explain with peace of mind."
He said softly, looked at Qiao Yu curiously, and then shook his head slightly. Qiao Yu lowered his head, but the derivation of the manuscript was a little faster.
Qiao Xi found a seat and sat down, curiously watching the three old people 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 how the two academicians were listening so carefully, she probably didn't understand.
Qiao Xi even suspected that Qiao Yu deliberately chose today to show off in front of her.
Qiao Xi has long been used to it. The way Qiao Yu showed off in front of her grandpa since she was a child is different from other children.
In the words of this boy: "Language is the palest, weakest and most worthless thing in the world."
Qiao Xi didn't even know where Qiao Yu, who was still little at that time, came from. These messed up views.
She suspected that it was Grandpa Qiao Yu who taught him. This old man likes to talk to children about things that should not be understood by children, but Grandpa Qiao Yu never does anything as long as he is not caught. admit.
Well, for Qiao Xi, spending time alone is not difficult. There will be no mess of negative emotions such as loneliness, boredom, embarrassment, or being ignored, and there will be no random speculation about other people's thoughts.
Because as long as you sit there quietly and let yourself go, the difficult time will pass in a daze.
"This is all I can think of now. I think this framework is feasible. I feel that as long as I complete this axiom system, I will definitely be able to solve the twin prime conjecture in the future."
Qiao Yu finally concluded.
After saying that, he glanced at Qiao Xi sitting opposite. Then he showed a very boyish smile.
In fact, given Qiao Yu's age - a sixteen-year-old boy, as long as he smiles, he should have a juvenile feel.
But if it were not in front of Qiao Xi, Qiao Yu's smile would rarely be so pure.
"Well, it's interesting. It's very interesting. If this is really done, it will be included in the textbook."
Yuan Zhengxin said while holding Qiao Yu's manuscript.
“Yes, let’s not mention other meanings. With the current level of confusion in the symbols of the mathematical system, the emergence of such a programmatic system can at least reunify the mathematical symbols.
In a paper I reviewed last time, both sharp and flat were used. If this continues, I suspect that even the treble and bass clefs in mathematics papers will be used in the paper."
Zhang Yuantang echoed from the side. .
Tian Yanzhen shook his head and said: "This idea cannot be described by a single framework. It is a highly inclusive research platform.
In particular, it contextualizes number theory and geometry, and contextualizes number theory. The problem is broken down into geometric space for analysis. I won’t go into details. The purpose of inviting you here is to discuss how to do this project.”
After all three people expressed their opinions, Qiao Yu said, "Well, how about I take my mother out for a walk first?"
Before Tian Yanzhen could answer, Yuan Zhengxin smiled and patted her shoulder, said: "Go, go, but Qiao Xi, don't let Qiao Yu run away, we will finish chatting and go to dinner together later."
"Okay, Grandpa Shi."
After saying that, Qiao Yu stood up, came to Qiao Xi, and said, "Mom, let's go and let the professors discuss things. I'll take you around first."
"Yes." Qiao Xi stood up, nodded to her mentor, her son's mentor, and Professor Zhang Yuantang opposite, and then took Qiao Yu's hand and walked out of Tian Yanzhen's office.
......
"Have you achieved results again?" Qiao Xi asked her son beside her as she walked out of Tian Yanzhen's office.
"Yes, great results." Qiao Yu said seriously without the exaggeration and jumpiness when reporting to Mr. Yuan.
"Oh." After agreeing, the two of them had already walked out of the small building. Qiao Xi felt that communicating with Qiao Yu today was a bit strange.
Last time she came here just to see Qiao Yu, but this time she will settle in the capital for a while and officially start her college life.
Qiao Yu also changed from her son to a being similar to a classmate or even a fellow student.
"Why don't you ask me what my great achievement is?" Qiao Yu finally couldn't help but turned to look at Qiao Xi and said.
Qiao Xi said confidently: "Because I definitely don't understand what you said."
Qiao Yu felt that this was probably one of the reasons why Mr. Yuan fell in love with his mother.
He even suspected that Qiao Xi didn't know that she had the ability to get to the essence of any problem, and she was able to make him helpless every time.
However, this did not affect Qiao Yu's arrogant explanation: "I have constructed an axiom system that can discuss number theory and geometry under the same system.
In other words, I will study number theory in the future and you will study geometry. We can still do it. We will conduct research on the topic together. I will break down the number theory problems that need to be solved. At that time, I will appoint you to my team to be responsible for the analysis and proof work of the geometry part. Qiao Xi, you must take the time to study hard.”
"Qiao Yu!" Qiao Xi stopped and looked at her dear son.
"What for?" Qiao Yu, who felt that he had performed well, glanced at his mother, who was always very gentle.
“What did you call me just now?”
“Qiao Xi, what’s wrong? The world is dynamic, and of course the title can change. For example, at home, of course I should be called Your mother, but we are at school now.
Well, isn’t our current relationship at school just... Ouch... Mom, Mom, stop twisting, your ears will really fall off, it hurts. …”
"Oh, what should you call me in school from now on?"
"Mom, it must 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 didn't care about the little episode between mother and son in the yard.
After all, they know better than Qiao Yu what this wild idea means to the world of mathematics.
From the Langlands Program to the Geometry Langlands Program... What the Western mathematical community has always hoped to do is to build a bridge between different research directions in mathematics.
The Langlands Programme, in particular, has always been recognized as one of the most ambitious and far-reaching theories in modern mathematics.
The core idea is to try to establish deep connections between two seemingly unrelated fields in mathematics: number theory and representation theory.
And through this connection, it provides a new unified perspective and builds a bridge between different branches of mathematics.
Qiao Yu geometrizes number theory by building 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, trying to clarify the correspondence between Galois representation, automorphic forms and specific conjectures of L functions, etc. relation.
But Qiao Yu has achieved a de facto conceptual unity. If it succeeds, no, it should be said that once it succeeds, it will completely rewrite the way of studying all number theory problems in the world.
And in a sense, the sub-conjectures of the Langlands program can also be included in the framework of metaphor construction for study.
Obviously this will be a milestone in the history of mathematics.
So for many people, coming to this ordinary day may be witnessing and participating in history.
......
"This subject must apply for a national foundation project." Tian Yanzhen said directly after Qiao Yu left the office.
Yuan Zhengxin nodded, and then said unceremoniously: "Qiao Yu was jointly trained by us."
Zhang Yuantang couldn't help but ask: "Qiao Yu is already a graduate student? If I remember correctly, in the past, Huaxia required at least a graduate degree to apply for the National Foundation, right?”
Tian Yanzhen explained with a smile: "That was before. Since the year before last, we have started to try out outstanding undergraduates who can apply for national-level projects.
There are currently eight universities in China where outstanding undergraduates can apply for national-level projects. Natural Science Foundation. Our Yanbei University and Huaqing University happen to be among these eight universities."
Zhang Yuantang opened his mouth, but didn't say anything.
Hey guys, you can apply for national foundation projects as an undergraduate.
Of course Zhang Yuantang is not saying that Qiao Yu’s idea is not worthy of applying for a national foundation. The main reason is that he feels that Qiao Yu is completely a special case.
However, if it is only tried out in eight universities, there is nothing wrong with it.
After listening patiently to Tian Yanzhen’s explanation, Yuan Zhengxin said: “In this way, this is submitted as a joint project of the two major mathematical research centers of Huaqing and Yanbei.
Project The person in charge is still Ding Qiao Yu. Director Qiao Yu wrote the project book as soon as possible. In addition, I think this project should be submitted to the national key research and development plan. Exactly this purpose.
For other undergraduates, it may be difficult to apply for Natural Science Foundation projects.
But if it's Qiao Yu, it's really not that difficult. Don't say he is Qiao Yu's mentor.
Even if he is not Qiao Yu's mentor, Qiao Yu's 60-minute report at the World Congress on Algebraic Geometry this year can give the judges of the Natural Science Foundation Review Committee something to know.
But if you want to apply for the national key research and development plan, it is not that simple. After all, Qiao Yu is still too young.
The sixteen-year-old project leader of a key research and development plan will undoubtedly cause great controversy.
As the saying goes, where there are people, there are rivers and lakes. Who can guarantee that Qiao Yu will be able to create this framework?
As long as people give some reasonable doubts, even if Qiao Yu is still young, don't be so anxious, this matter can be postponed.
It is still a bit reluctant to rely on him or Yanbei University to promote this matter. But if Huaqing, represented by Mr. Yuan, promotes it together, the situation will be different.
"Sir, what I said is true, and I think so too. No matter what, we must report it. After all, once this project is successful, it will be conducive to analysis, optimization, gaming and regulation of 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 your help and support, of course, in the name of joint research between the two parties."
Tian Yan. I really followed what Yuan Zhengxin said.
Yuan Zhengxin glared at Tian Yanzhen, but thinking that Qiao Yu's current student status was still at Yanbei University, he swallowed the words that came to his lips.
However, he added: "Yes, but since it is a joint research, the number of personnel participating in this project in Huaqing should be roughly the same as that in Yanbei."
Tian Yanzhen nodded. , and then added: "I think this Qiao Yu will also consider it. And since he is the proposer and person in charge of the project, how about we each provide him with a list and let him choose?" Yuan Zhengxin nodded. Tian Yan's suggestion was really selfless. Even if it was selfish, it was for Qiao Yu, and he could accept it.
Not to mention that Qiao Yu always calls him grandpa, just because Qiao Xi is his student now, Qiao Yu will definitely not deliberately exclude Hua Qing when making choices The name was reported.
"Ahem..." Zhang Yuantang next to him finally couldn't bear it anymore and coughed twice, and then successfully attracted the attention of the two people.
“Actually, 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 am It is said that if it succeeds, it will also increase the attention of this basic mathematics project, and this research will be promoted."
Tian Yanzhen and Yuan Zhengxin looked at each other, and then Tian Yanzhen pondered for a moment and replied sincerely: "Professor Zhang, to be honest, I very much hope to promote this cooperation.
But at this time, I think your thinking is still too simple. The problem is probably not on our side, but on your side.”
This answer made Zhang Yuantang not sure how to answer for a while, and he was even a little frustrated.
Because what Tian Yanzhen said is actually correct, it does not mean that the two sides are completely unable to cooperate now, especially in this basic mathematics, there are still channels for communication.
But if we really want to cooperate, there are many things that need to be reviewed now, which are very detailed and may even cause trouble for the school.
So for schools, many times they adopt the attitude that doing more is worse than doing less.
Who would have thought that after decades of shouting for global integration, the world would become more and more closed. It has even affected the field of basic academic research.
For someone who is devoted to academics, this is obviously not normal. But alas, they can't change anything.
However, Tian Yanzhen changed the topic and said: "But I have a suggestion. If you are also interested in this project, why not cooperate in your own name?"
While Zhang Yuantang was still thinking, Yuan Zhengxin suddenly said: "By the way, will the Natural Science Foundation review team meeting be held next Tuesday?"
"Yes, Mr. Yuan." Tian Yanzhen replied.
"I'll go there too this time." 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 in the past. If he were to attend, there would definitely be a spot.
"By the way, I took the child's manuscript." Yuan Zhengxin said confidently.
The old man neatly organized Qiao Yu's handwritten manuscript yesterday and what he wrote during today's explanation.
“Well, this...”
"You want him to write another one." Yuan Zhengxin said without refusal.
Tian Yanzhen stopped talking.
……
Dinner was eaten here at Yanbei University.
Qiao Yu was in a bad mood.
Facts have proved that for a filial child, bloodline suppression is almost an unsolvable problem.
We are classmates, and my mother can pull his ears without hesitation. This means that even if the two of them really have a teacher-student relationship, my mother will still pull his ears without hesitation.
He still had no place to reason.
Okay, Qiao Yu admitted that he was still naive. Unless he can treat Qiao Xi the same way he treats outsiders, his mother will eat him up.
Professor Zhang Yuantang also seemed a little worried. On the other hand, Mr. Yuan and Director Tian were in high spirits. Although they didn't drink, it could be seen from their attitude towards Qiao Xi.
In fact, Qiao Xi can be considered a young person compared to the three professors. Even compared to Tian Yanzhen and Zhang Yuantang.
But everyone was very polite, and we didn’t talk much about mathematics during the dinner. We only talked about the customs and customs of Star City.
A new generation of internet celebrity city always has something to talk about.
After dinner, Tian Yanzhen took Qiao Yu and Professor Zhang to put Yuan Zhengxin and Qiao Xi in the car.
Qiao Yu actually wanted to see Qiao Xi's accommodation arrangements at night, but Tian Yanzhen didn't allow him.
Yuan Zhengxin didn't make the decision for him, and even joked before leaving: "Don't worry, grandpa promises to arrange everything for your mother. If you feel dissatisfied when you come to Huaqing tomorrow, you can trouble grandpa."
...
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.
“Follow me to the office.”
“Ah? Director Tian, why don’t you go back so late today?”
"What? You want to sneak away to Huaqing after I leave? Don't think about it, I'm not free tonight."
"Um... the mathematician still has to work overtime?"
"What do you mean? Mathematicians only have enough brains to do scientific research. You have been to a chemistry laboratory and other people do scientific research. Not only do you need brains, but you also need physical strength! So don’t worry, there will be many opportunities for you to work night shifts in the future!”
……
Follow Tian Yan honestly! After walking into the office, Qiao Yu found that two stools had been placed at the instructor's desk.
"Come, sit next to me."
Well, it seems that I really want to accompany him.
Qiao Yu sat down obediently, and then saw Director Tian open the computer and bring up a bunch of files.
"Tonight I will guide you to fill in some formatted content. You can go back and fill in some technical related content. Leave it to me tomorrow."
"National Natural Science Youth Fund application? ”
"Yes, fill in the major research plan for the first funding category."
"Um...this...are you sure it is a major research plan?"
"Just fill it in if you are asked."
“Oh, what about this subcategory description?”
“Mathematical logic.”
"Oh..."
Qiao Yu stopped talking nonsense and filled out the application form carefully as Tian Yanzhen asked. However, he couldn't help but think of what Lao Xue once said to him...
"You just need to find a good mentor who can handle the situation..."
The experience of people who have been there is really useful.
A different tutor might not have had the courage to ask him to apply for a major research project directly...
This sounds very high-level, right?
Tian Yanzhen is still nagging in his ear: "The auxiliary instructions should be based on the guide. You will not only apply this time in the future, but you must remember to check it.
There is also a research team temporarily It hasn't been set up yet, but a list will be given to you in the next two days. Team members are from Yanbei and Huaqing. It's up to you to choose. Choose..."
"Ahem...Um, Director Tian, can I choose Professor Xue?"
"I will put him on the list, the unit wants it. Write down both us and Huaqing’s Mathematics Research Center... You should have no problem with the abstract, it’s best to be more concise than the abstract of the paper..."
...
Just like that, when Qiao Yu came out of Tian Yanzhen's office, it was already past ten o'clock in the evening.
However, only a small part of the application form is actually filled out. Those large sections have not been filled in yet.
For example, many contents such as project establishment basis, research content, project features and innovations, annual research plan, expected research results, etc. are filled in.
Especially since both parties jointly initiated the project, so he also specifically explained the reasons...
In addition, he also needs to write a beautiful resume for himself.
What a pity, he is only sixteen years old and he is already old enough to write a resume.
However, Tian Yanzhen has already given him a complete explanation of the key points for filling in these contents. Qiao Yu basically knew how to write it.
To be honest, Qiao Yu actually has nothing to be dissatisfied with.
Having a big-name academician mentor spend more than two hours instructing him to fill out this kind of project document is definitely a blessing that takes several lifetimes to acquire.
It is no exaggeration to say that if Chen Zhuoyang dared to make such a request, Tian Yanzhen's "go away" would be a compliment to him.
Qiao Yu suddenly felt sorry for this senior brother.
Why are you in such a hurry to graduate? Otherwise, maybe we can take him to participate in this major national research project. Once you complete this project, won’t your resume be beautiful?
On the way back to the room, Qiao Yu was still thinking about various thoughts, but when he sat in front of the computer, he no longer thought about these.
Director Tian and Mr. Yuan gave him the opportunity, so he naturally had to make good use of it. Anyway, he didn’t feel sleepy yet. He planned to give the project establishment basis, research content, and project features while his mind was still clear. Write it out.
In the words of Director Tian, these are the top priorities. He even hinted to him that there is no need to be afraid. Even if you brag about your awesomeness, he and Mr. Yuan will help you get the truth...
What a coincidence...
He is quite good at this.
I had just written two thousand words in the project book when the phone suddenly rang.
Qiao Yu thought it was Qiao Xi who called him after she settled down, but when he picked it up, he saw that it was Professor Xue.
"Hello..."
"Qiao Yu, Academician Tian wants to apply for a national key project for you?"
"Um...does the news spread quickly or are you particularly well-informed? Xue Professor, to be honest with you, I know this news and I still Less than three hours.”
“Nonsense, Academician Tian just asked me if I am interested in joining this research group.”
“Ah, you refused to join. This project?”
"How is it possible?! How could I refuse a national key project?"
"Then Director Tian didn't tell you the details of the project?"
"I didn't have time to ask, but Academician Tian just asked After hearing my opinion, I hung up the phone. Maybe I was in a hurry to ask other people.”
“That’s right, it doesn’t really matter. After talking with him, I felt that it was too inconvenient to study number theory problems now, so I designed an axiom system by myself.
I originally planned to take it to Professor Zhang and Director Tian today. After discussing the rationality of this system, Director Tian called Mr. Yuan to Yanbei and didn’t know what they talked about.
Anyway, after dinner, Director Tian pulled me into his office and made sure that I apply for this thing in front of him. Hey, Professor Xue, you don’t know how troublesome it is to fill out the application form for this project!
There are dozens of pages of information to fill in, not including the thousands of words of research content. Director Tian is very urgent. Normally I would be asleep at this time, but now I can only seize the time to complete it. Write these things down..."
Qiao Yu began to complain.
No way, although Yanbei University is big, there are not many people who can complain and are willing to listen to him
But Xue Song must be one of them after all. The friendship between teachers and friends has been established over the past six months
However, Qiao Yu soon felt that something was wrong. The other party seemed to be listening, and after listening, there was no sound...
"Hey, Professor Xue, are you still here?"
"Yes...but since you still have to fill in the information, I won't disturb you for now. I'm just calling you to confirm this."
"Oh, okay, hang up first"
Listen to the phone. Qiao Yu thought about the busy signal coming from the phone and clicked on Senior Brother Chen's WeChat.
Although Senior Brother Chen has graduated, Qiao Yu feels that the friendship between the two still exists. When good things happen, you should always think of yourself first.
And if you think about it carefully, although Senior Brother Chen is a little bad at scientific research, he is cautious and meticulous, and he is still good at doing some auxiliary work.
So I simply took a picture of the cover of the information and sent it to him on WeChat.
In less than three seconds, Senior Brother Chen replied, but the message was a bit simple.
“???”
(End of this chapter)