Chapter 128 Qiao Yu, you are really a super genius!
Tian Yanzhen was not wrong about Qiao Yu at all. This guy is a person who is very good at enlightening himself, or in other words, very good at reconciling with himself.
Yes, in his life before he was eleven years old, Qiao Yu's grandfather told Qiao Yu what kind of man he should be through words and deeds.
For example, repay kindness with kindness and repay grievance with directness; for example, think twice before doing something and decide to take immediate action; for example, men should take on their responsibilities as men, saving money is something that women need to consider, and men should be responsible Making money; for example, being responsible only for worthy things and people...
In short, there are quite a lot.
It's all thanks to Qiao Yu's good memory, otherwise he really wouldn't be able to remember so much.
In the next five years of living independently, Qiao Yu learned to be good at reconciling and compromising with his stubborn temper when appropriate.
Generally speaking, a person who clearly knows his own advantages will be very competitive, while a person who clearly knows his own shortcomings will be very scary.
Qiao Yu had both.
So his competitiveness is really strong, and for his enemies, he is actually quite scary.
People with good memories remember kindness and hatred.
After coming into contact with Qiao Yu, many people will think that this child is a person with high emotional intelligence. If he is willing, he can make everyone around him feel like a spring breeze.
But in fact everything is an illusion.
Separating IQ from EQ is actually a very funny thing.
Because people with high IQs can easily be downwardly compatible. It just depends on whether these people with high IQs are willing to accommodate downwards.
Just like when Qiao Yu was in Class 13, he could easily get along with his classmates and was very popular.
This depends on super observation and empathy.
Show yourself when you should show yourself, and hide your clumsiness when you should hide it. When you satisfy the self-esteem of your classmates, you can also gain friendship. For Qiao Yu, all these behaviors are subconscious actions to maximize interests based on logical and rational thinking.
After all, he has a family to support.
This can be seen when the two eldest brothers in Class 13 argue about who invites Qiao Yu to go online more often.
Some people are like this. They clearly take advantage of the other person, but they still make the other person feel like they're doing it. I wish this person could make more money.
In Qiao Xi's words, Qiao Yu has engraved rational calculation into his bones, and what he lacks most is sincerity.
It’s just that Qiao Yu hid this point very cleverly.
Hiding his pride carefully, he looks harmless in front of everyone, and uses the occasional small pride to hit those close to him to maintain his innocent persona.
This way of dealing with others that exploits strengths and avoids weaknesses is almost instinctive for Qiao Yu.
Therefore, although there has been little progress on the two-dimensional generalization of Chevalet's theorem during this period, Qiao Yu is not in a hurry.
He would carefully record the results of each failed attempt and send them to Professor Li via email.
He will also attend the meetings of the research team on time. However, every time he was involved in the conference software, he had a strong idea in mind and would not dominate the project. After all, it was someone else's project. He would wait until the three professors had finished speaking before he made a speech.
I put forward some of my whimsical opinions and suggestions very humbly, with a very low profile, and I was very polite and respectful to the three professors and even the other graduate students attending the meeting.
This also allowed Qiao Yu to quickly win the favor of everyone in the entire research team from top to bottom.
A sixteen-year-old kid has just made an achievement that can be said to be eye-catching in the world of mathematics. He is not proud at all. He respects the professors very much. It is really easy to get a good impression of him.
Another good news is that Tian Yanzhen also directly helped him submit his thesis on singularities to Invent.Math. Now that we have passed the editing stage, we have entered the stage of finding reviewers.
The only difference is that when submitting the manuscript this time, Tian Yanzhen called Qiao Yu to the office and taught Qiao Yu step by step how to submit the manuscript. Including introducing him to how to use the different submission systems of the four top journals.
Unlike last time, this time Tian Yanzhen did not put Qiao Yu's paper on the pre-release website.
I gave a special explanation in Huaqing, and there were at least five world-renowned experts in the field in the audience. If this situation can still cause controversy in the academic world, then it will really have to turn the table.
As for Yuan Zhengxin, he praised Qiao Yu severely again.
There is no doubt that from Mr. Yuan's perspective, Qiao Yu is not only talented, but also extremely motivated. No matter how impressive his achievements are, he has never slacked off. This attitude towards mathematics is even more valuable than talent in the eyes of the elderly.
The love will be doubled directly.
Qiao Yu may not have realized it, but at this time he told Mr. Yuan that he wanted soil on the moon, and Mr. Yuan decided to help him find a way.
No matter what, after not making so many demands on herself, Qiao Yu felt that it was actually quite relaxing.
He was too lazy to stay in his hut every day. He studied the class schedules of various departments of Yanbei University every night. When he saw classes that interested him, he went to listen to them during the day.
It is not limited to pure science and engineering courses such as mathematics, physics, and chemistry. He will also listen to the contents of literature, philosophy, sociology, communication and law.
But when it comes to the humanities field, Qiao Yu will look at students' evaluations.
Specially select the kind of boss-level professors whose lectures are very interesting when students say they don’t follow the textbooks.
For this reason, Qiao Yu also bought two veteran cadre clothes online just to look more mature.
After all, he really just wanted to hide in the corner and listen to the class quietly, and had no other purpose.
And his young and handsome face always brings him some trouble - such as being teased by Yanbei's seniors.
Really, boys must learn to protect themselves when they go out. This has never been so concrete.
Qiao Yu also thought that at least he is now a celebrity in the field of mathematics, so many people should know him.
After all, the photos of him and two math giants are widely circulated on the Internet.
But it's a pity that apart from being recognized when taking classes in the two colleges of Mathematics and Physics at Yanbei University, few people in other departments have recognized him.
This also made Qiao Yu realize that many times the omnipotent Internet seems to give people an illusion... They always feel that they are already a big shot, but in fact they may not be as famous as they think.
Everyone’s influence probably has limitations, especially in mathematics, it seems quite difficult to break through.
Of course, it may be that his appearance is not very recognizable, just ordinary handsome and ordinary confident.
The visa for France will also be issued at the end of April.
Speaking of visas, there is an episode.
On the day of the appointment for the interview, Professor Zhou, who had obtained Qiao Xi’s power of attorney, accompanied Qiao Yu.
When talking face to face with the visa officer, the other person obviously had some doubts about Qiao Yu's age and asked a few questions in this regard.
"Hello, what kind of visa are you applying for?"
Professor Zhou helped Qiao Yu answer: "My students are invited to Paris to participate in the World Expo next month. Algebraic Geometry Conference, he was one of the speakers invited by the conference. ”
The visa officer looked at Qiao Yu and asked: "Oh, you are invited at such a young age? Qiao Yu, can you briefly tell me the purpose of attending this meeting and the content of your report?"
Qiao Yu replied patiently: "Do you know the geometric Langlands conjecture? Recently, a mathematician claimed to have proved this problem. The result I found a small mistake. Then they invited me to explain the mistake."
The visa officer nodded and continued to ask: "It means that the importance of your participation in this meeting is to correct one. Wrong. Do you think such a report is worth all the travel expenses? Have you considered staying in France to continue studying mathematics?"
Qiao Yu became a little impatient and said directly to the visa officer: "That's it, what are the questions you asked? You didn't study mathematics when you were in college? Ah? Do you know how many mathematical papers will be removed if you prove that a widely accepted theorem is wrong? ?
Have you stayed in this house every day since you came to Beijing? If your country hadn’t produced mathematicians like Poincarais, Hilbert, and Gauss, This algebraic geometry conference happens to be held there. How much do you think I want to go to your place?
Can’t you have some idea of what Paris is like now? The Seine River has become like that. I don’t dare to drink your tap water when I go there. Are you still afraid that I won’t come back if I stay there? Isn’t this confidence a bit baffling? I am now a student at Yanbei University, and my teacher is a Chinese academician. Should I stay with you to study? Picture what?
Look at the invitation letter clearly. I decided to go because the organizing committee invited me! I won’t go if you don’t sign. Do you think it’s my loss? That’s a loss for the world of mathematics! "
Really, when Qiao Yu suddenly said such words, Professor Zhou Liang, who was accompanying him at the time, broke into a cold sweat and forgot to explain for a moment.
Fortunately, the visa officer on the opposite side was just stunned and hesitated for a moment. Then he lowered his head expressionlessly and began to check the documents silently. After a while, he said directly: "Okay, your information looks complete. The visa is usually The results will be available within a week, and you will be notified then. ”
Qiao Yu immediately stood up, turned around and left.
Professor Zhou stayed behind and added: "Mr. Visa Officer, the geometric Langlands conjecture is an important issue in cutting-edge research in the current mathematics community. Qiao Yu's speech this time can be said to be of great significance to the mathematics community. I suggest you You can contact the organizing committee of this conference before making a decision.
In addition, all the expenses for Qiao Yu’s participation in the conference will be fully borne by the Yanbei International Mathematics Center in the materials we submitted. Have relevant financial documentation”
… …
After walking out of the visa center, Professor Zhou couldn't help but start scolding Qiao Yu: "No, Qiao Yu, your temper came suddenly, didn't it? What did I tell you before coming here? Visa If the officer asks you anything, just answer it truthfully.”
Qiao Yu immediately lost his unruly look, raised his head, with a sunny boy's smile on his face, and responded: "Professor Zhou, you are right. But respect is mutual. That guy just now was too annoying. I was angry. It was clearly stated in the information that I was from Yanbei University, but he actually asked me if I wanted to stay in France to study mathematics?
Think about it, doesn’t this look down on me at Yanbei University? This point I'm so angry. How is our School of Mathematics at Yanbei University worse than those universities in Paris? Really, it doesn't matter if he looks down on me, but he looks down on my future alma mater, Director Tian, Mr. Yuan, and you. I really can’t bear it anymore.
Whether I can go to the meeting is not a big deal, the face of my alma mater and my tutors is more important!”
Professor Zhou opened his mouth and suddenly didn’t know what to say. .
Forget it, he didn't bother to say it anymore, it was really no big deal.
If your visa is really rejected, you can contact the organizing committee of the conference to explain the situation and find a solution. It really doesn’t work, anyway, France is one of the Schengen countries, so the worst thing is to change planes...
Anyway, Qiao Yu’s mentor has great powers.
The most important thing is that after hearing Qiao Yu's explanation, Professor Zhou also felt that the question was too much. And he probably put a dent in the two bosses, Tian Yanzhen and Yuan Zhengxin. Anyway, he reported the situation truthfully, and even if the two bosses didn't say it, they were probably satisfied in their hearts.
On the way back, Professor Zhou’s biggest emotion was that young people today are so amazing.
……
Just as Lao Zhou imagined, he reported the matter to Tian Yanzhen on the phone. Tian Yanzhen just said lightly on the phone: "Haha, this kid has a pretty bad temper. It's okay. The visa should be passed. Yes, I really can’t get through it, I’ll ask again.”
Then nothing more happened.
But on the third day, Professor Zhou received a call informing him that Qiao Yu’s visa had been approved.
I made another special trip. After getting Qiao Yu’s passport, Professor Zhou was filled with emotion when he looked at the label on Qiao Yu’s passport indicating the validity period and number of entries.
I always felt that when he was applying for a visa when he was studying abroad, his attitude towards the visa officer was a little too reserved, and he was really not relaxed at all.
Of course, he didn't have such a powerful teacher at that time who could tell everything.
But then again, Qiao Yu didn't ask Academician Tian to help, so that was too much.
It seems that what this kid said is right, respect should always be mutual.
There is no need to be too polite when you can’t gain respect.
……
When Qiao Yu learned that the visa had been approved, he was listening to a class in the philosophy department of Yanbei University.
After checking WeChat, he obediently put his phone back in his pocket and continued to listen to the class seriously.
This is a big class, an introduction to Chinese and Western philosophy. However, there don’t seem to be many students studying philosophy, so it can definitely be seen on the stage that they are not paying attention to the class. And to be honest, Qiao Yu didn't feel too excited just because the visa was approved.
Having had the experience of standing on a podium to give a report, Qiao Yu knew very well that the instructor stood on top and could catch all the small movements of the students below with just a glance. Even whether you are listening to the lecture or in a daze, it is clear at a glance.
“...So what is truth? Aristotle once said: Truth to say what is that it’s, and what is not that it’s not. My understanding is that truth is a state that is consistent with things.
For example, when we say that snow is white, its truth depends on the fact that our common snow is indeed white. But are there any places where the snow falls in other colors, even black? Of course! For example, after a volcano erupts, ash and snow fall at the same time, causing the snow to appear black or dark gray. Especially in high mountain areas.
Then the question is, is truth subjective or objective? In different cultures, do different understandings of morality and ethics lead to different understandings of truth? This is the relativity of truth.
Obviously the ancient Greek philosophers did not see it this way, such as Plato’s Theory of Ideas. He believed that truth is an eternal and unchanging idea that transcends changes in the material world. Note, students, here Plato emphasizes the persistence and immutability of truth, which is not even affected by changes in the material world.
It is an absolute, eternal existence, so if we have the opportunity to talk to Plato about truth, we will be discussing a universal principle or law that transcends specific things and instantaneous changes. In order to help everyone understand this concept better, let me tell you a story..."
The class lasted about one hundred minutes, and Qiao Yu listened with great interest.
The first half is an introduction to mainstream international viewpoints, which are mostly content in textbooks, but the second half is where the professor gives free rein.
In addition to well-known celebrities such as Kant and Nietzsche, William James, Ludwig Wittgenstein, Michel Foucault...a bunch of Western thinkers quoted various arguments from various sources. Examples are readily available.
What are relativism and absolutism, pragmatism, Tractatus Logico-Philosophicus, power and truth, paradigmatic truths of scientific theories...and even truths based on gender and identity...
True No need for PPT, he controlled Qiao Yu for more than an hour. The most amazing thing is that after talking so much eloquently, the professor did not give a final concept of truth until the end of get out of class.
Instead, I treated this problem as an after-school homework and assigned it.
The topic is very simple, allowing students to understand what the truth is and write an article and submit it.
Listening to the uproar from the senior brothers and sisters sitting in front, Qiao Yu was quite satisfied.
This is the benefit of taking classes.
Not only can you hear a lot of interesting knowledge and enrich your knowledge base, but you also don’t have to be responsible for the homework assigned by the instructor.
Just listen to it...
Writing homework is impossible.
In addition, it seems that being a professor in the philosophy department is quite easy. The word "truth" leads to more than a hundred minutes of content, and in the end, no conclusion is given. If the mathematics department acted like this, the students would probably go crazy...
After class, it was time to eat.
The Department of Philosophy is very close to the Nanyuan Canteen.
Qiao Yu usually doesn't attend classes in the early morning, so after finishing classes at whichever college he goes to, it's almost time to eat, so he eats in a nearby cafeteria.
During this period of time, I ate all the canteens on Yanbei campus.
I also have a mental map of each restaurant’s specialties.
While I was enjoying my meal, I received another call from Senior Brother Chen.
"I...Qiao Yu...you, you, you..."
"What's wrong with you, Senior Brother Chen?"
"You, you were invited to attend the World Congress on Algebraic Geometry, and you have to give a thirty-minute report at the conference?"
After a while, Chen Zhuoyang on the other end of the phone finally managed to make this sentence fluent.
"Huh? Isn't it? Senior Brother Chen, this matter has been settled a long time ago. You are Bai Xiaosheng from our Numerical Research Center. How did you know about it?"
The other person hesitated for a long time. He said: "No one told me, You didn't say anything, how could I know?"
Qiao Yu replied: "Well...I'm not thinking that Senior Brother Chen will leave school next month, so I don't want to cause any trouble for you. Who talks so much..."
"Professor Zhou just sent your passport to Director Tian, and I happened to bump into him. Professor Zhou mentioned this incident casually."
Qiao Yu felt that Senior Brother Chen knew how to flatter people without leaving any trace. For example, through the way he was so excited that he was incoherent just now, and the tone that seems a little aggrieved now, he can gain a lot of emotional satisfaction.
So Qiao Yu followed what Senior Brother Chen said: "That's it, Senior Brother, it's just an algebraic geometry conference, not a World Congress of Mathematicians, so you don't have to be too excited. If I can be invited next time, I gave a sixty-minute report at the World Congress of Mathematicians, and you had no time to be happy for me. "It's really not about showing off, it's about letting my senior brother know that he already understands these subtle flatteries.
“Oh, where are you now?”
"Nanyuan Canteen."
"Why do you have to travel so far to have a meal?"
"I just went to the Philosophy Department and took a class. The professor taught the truth very well. It seems like I didn’t listen. Maybe I’m not a newbie in philosophy?”
“Why are you going to the philosophy department to learn anything useful?” , the definitions of philosophy are very erratic, and the argumentation process can be straightforward. Let me tell you, mathematics is the truth. What is right is right, and what is wrong is wrong! "
"Hey, brother. , you don’t know, my brain has been bloated from the recent projects. Listening to these contents is very interesting and can relax my brain.”
"Don't listen to those nonsense. If you really want to talk about the collision of ideas, mathematical description is the most beautiful. My boss once said something in a lecture when he was talking about symmetry. Look for the invariant in the change, and seek simplicity in the complexity. . Isn’t this kind of mathematical thinking more interesting than the mysterious things like philosophy? Don’t be misled by those mysterious theories.”
Chen Zhuoyang’s words struck Qiao Yu’s ears like this. A certain switch is activated, Qiao Yu subconsciously asked: "Wait, senior brother, what did you say Director Tian said just now? Change that..."
"Huh? Find the constant in the change, what's wrong?"< br>
“Oh, it’s nothing, I just didn’t hear it clearly. I went back after dinner, so hang up first.”
“Hey, there’s no rush, I just called you to ask you about that The situation...hey...well, it’s dead?”
Qiao Yu hung up the phone directly. He didn't hear Chen Zhuoyang's last words at all.
Look for the unchanged amidst change, seek simplicity amidst complexity.
Qiao Yu thought that Professor Zhang seemed to have had a similar conversation with him before, but of course the words were different.
But combined with the issues he had been pondering recently, he seemed to feel like a ray of light had penetrated his brain.
The core of the swap heap is a collection of swappable elements. In a swap heap, the arrangement of different elements does not affect the properties of the whole, which itself constitutes a symmetry. So the question is, will some global functions in the swap heap also show similar invariance?
One of the biggest difficulties in Professor Li's project is that the calculation of global functions usually involves multiple variables and complex combinations. All his previous attempts had faced high computational costs and reached dead ends.
If symmetry can be effectively used to extract invariant features, it may be possible to transform cumbersome calculations into more intuitive analysis.
Especially if the global function can be regarded as an invariant form under the action of a certain transformation group, can the relationship between the global function and the Whitaker layer be revealed through this perspective?
If successful, it will be clear that analyzing global functions from an invariance perspective will make complex problems clear. If this transformation is feasible, it will not only be a theoretical breakthrough, but also provide a specific calculation method.
Thinking of this, the thoughts in Qiao Yu's brain immediately began to diverge.
The first step is naturally to construct an appropriate transformation group to analyze the performance of the global function under the action of this group.
The brain quickly constructs various possible transformation methods, how to map the global function to a new space through transformation group action, and use the space to simplify calculations and analysis...
……
"Hey, Xiaoyue, do you think that guy has been staring at you? Xiaoyue."
Zhao Xiaoyue followed the gaze of her best friend next to her and said in annoyance: "Don't make trouble. , I am obviously in a daze.”
"Yes, I was shocked by your beauty, so I was in a daze. Haha..."
Zhao Xiaoyue glared at the inattentive woman next to her unhappily...
Although she was satisfied with her own She has confidence in her appearance. She has had many suitors since junior high school. In high school, some classmates even found a way to unlock the camera of the tablet used in class. They secretly took a video of her during class and uploaded it to a small video software. .
Not only did the video become a hit, it had more than 300,000 likes, and also received a bunch of comments such as "It's over, I suddenly want to fall in love" and "It completely matches all my fantasies about my first love." comments.
But Zhao Xiaoyue really doesn't think she is so beautiful that any boy in the cafeteria can look at her in a daze.
Of course, the appreciation of beauty is a very subjective thing.
But Zhao Xiaoyue knew that the boy was simply in a daze.
Because when she and Tang Jing sat down just now, she happened to glance at Qiao Yu. At that time, Qiao Yu was eating normally, and it was obvious that he became like this after answering a phone call. Especially Qiao Yu at this time, still holding the mobile phone in his hand, frowning slightly, his eyes obviously unfocused...
It doesn't look like he is staring at anyone, but seeing Qiao Yu can always Zhao Xiaoyue found it quite interesting to maintain such a posture.
My hands are not numb and my neck is not sore?
No...
"Wait a minute, Tang Jing, don't you think he looks familiar?"
"No, right? Xiaoyue, is Zhen Lang interested in having a concubine? But he looks like Very small, smaller than us, it turns out Do you like this type? But he looks good, but his clothes are a bit old-fashioned."
"Are you serious? Look!" Zhao Xiaoyue frowned and said.
“Huh? If you want to put it that way, it does seem a bit familiar.”
"Change into that gray casual sportswear..."
"Oh...the one from the School of Mathematics, that one, Qiao, Qiao, Qiao Yu?"
"It's not the School of Mathematics. It is jointly trained by Yanbei University and Huaqing Mathematics Research Center.”
"Wow, this is a real master! Do you think if we could make friends with a master, would we be able to pass subjects such as advanced mathematics, linear algebra, and probability and statistics easily?"
Zhao Xiaoyue Both Tang Jing and Tang Jing are students in the Department of Economics, School of Economics, Yanbei University.
In fact, it is not just the School of Economics. For the vast majority of students who are not in the School of Mathematics and Physics, as long as their major requires courses related to mathematics and macrophysics, it is the most troublesome.
Even if it’s just B in high numbers and B in big things.
Of course, even high-level mathematics C and general physics courses can give many students majoring in liberal arts a headache.
After all, many students choose liberal arts because they are really afraid of math and physics.
Otherwise, the Internet would not ridicule high-level figures and big things together.
"Just pass it by? You think so. But if you can increase the WeChat account of the master, there will be someone to ask for advice on advanced math problems in the future." Zhao Xiaoyue glanced at Tang Jing and said.
In fact, Qiao Yu is not needed.
The contents of Advanced Mathematics B can probably be easily handled by any student from the School of Mathematics at Yanbei University.
The only problem is probably that everyone has their own social circle, and students from the School of Mathematics will not carry the word mathematics on their heads.
But Qiao Yu is different. He is more or less a celebrity and can still be recognized.
The most important thing is the strong-willed mentality, which everyone has.
"How about we sit over and have a chat with him?" Tang Jing came up with an idea.
"Forget it, we still can't get through it. It's not good to disturb others." Zhao Xiaoyue hesitated and shook his head.
Tang Jing rolled her eyes and said, "Then I'll go alone."
After saying that, she stood up directly holding the dinner plate.
"Ah? Are you really going? I think he might be thinking about something, so I'd better not disturb him."
"What are you afraid of! I have no intentions towards him, can't I just make friends? Besides, I can wait. He came to his senses."
After saying that, Tang Jingzhen walked to Qiao Yu's seat with the dinner plate in hand.
Zhao Xiaoyue was a little confused, but after thinking about it, she still didn't go crazy like her best friend...
It would be bad if it disturbed the master's thinking.
...
Qiao Yu, who knew nothing about the outside world, had just completed the deduction in his mind that related the global function and the Whittaker layer.
Just when I was feeling excited, I suddenly noticed that there was a senior girl on the opposite side.
But Qiao Yu didn't take it to heart. He encountered this situation often. After all, the canteen is public.
Putting down his phone, Qiao Yu planned to finish his meal quickly, and then go back to record the reasoning process in a mathematical way.
To his surprise, his senior sister recognized him.
"Hello, are you Qiao Yu from the Mathematics Research Center?"
"Hello, yes. Are you?" Qiao Yu nodded and responded cheerfully.
Look, he is indeed a celebrity. He can be recognized just by eating in the cafeteria.
After all, this is not the territory of the mathematics department.
"I am studying economics at the School of Economics. My name is Tang Jing, great master. We are sisters in the same dormitory. Well, the one sitting over there is called Zhao Xiaoyue. She is your fan and follows your Weibo. She is embarrassed. come with you Say hello, can you add her WeChat so that I can push your WeChat to her?"
Qiao Yu blinked, turned his head and looked past Tang Jing, looking at the person opposite who was eating quietly. Senior sister. Hey, she is really beautiful, she seems to be on par with Xia Keke.
Then Qiao Yu withdrew his gaze and said seriously: "Sister Tang Jing, the question I was thinking about just now is about the two-dimensional generalization of Chevalet's theorem. An extremely important technology is used here, which is Langlan Duality.
To put it simply, this tool can establish a direct connection between algebraic geometry and representation theory. To be honest, this is a very difficult task. ”
"Um...Master, what do you mean?" Tang Jing asked.
Qiao Yu replied seriously: "It means that the communication between people is different from mathematics. If you need to establish a connection, it doesn't need to be so complicated. For example, your sister can come directly to ask for my WeChat. If there is an extra person in the middle Steps, there will be many complex variables
For example, maybe your sister is the one you introduced. As a shield, for example, you are playing truth or dare and making fun of me, so senior Tang Jing, ask your sisters to ask for it next time, or admit that you are my fan... Well, in short, definitely next time! "
After saying that, Qiao Yu quickly took a few mouthfuls of rice, then stood up and ran away under the dazed gaze of the senior sister opposite.
Of course it's not that he's afraid of the senior student across from him, it's simply that he has to go back quickly and record what's in his mind.
……
Tang Jing sat there stunned for a long time, then picked up the dinner plate and returned to her sisters.
Zhao Xiaoyue held back a smile and asked: "Tell me, how did you scare the great god away?"
Tang Jing said dullly: "It is said that the Institute of Mathematical Sciences is one of the four major The head of the madhouse is indeed right. I told that Qiao Yu that you were his fan. Si, wanted his WeChat. As a result, he came up with a bunch of messy information about Chevalier's two-dimensional promotion and Langlands duality..."
"Wait, tell him. What?" Zhao Xiaoyue didn't smile and stared at Tang Jing in shame.
"You are his fan. Didn't you apply for a Weibo account to follow him that day?" Tang Jing said confidently.
"How many times have I explained that it's because I found it interesting to watch the Great Reconciliation of the Mathematics Century in the group chat, so I followed his Weibo. If there are any latest developments, I can just know about them as soon as possible. What kind of fans are they?" Zhao Xiaoyue He said helplessly.
"But don't you think this is fate? This is not the place at the Math Center. We suddenly wanted to come here to have a meal and we met? Well... Xiaoyue, could it be because of you? I said you wanted to add him on WeChat, but he turned around and ran away, so are you angry?" Tang Jing blinked and asked thoughtfully.
"I didn't!" Zhao Xiaoyue replied decisively.
Tang Jing nodded and said: "As expected, it's okay. The master also said just now that if you ask for WeChat by yourself, he will definitely give it to you."
"Heh..."
...
“Suppose the global function is f:→C, where is the exchange heap.”
“The transformation group G, which acts on the global function, is defined as: gf(x)= f(g^1x), for all g∈G, x∈”
“Define Whitaker layer W. , making it invariant under the action of the algebraic group, that is: W(x)=i∑aii(x), where i is the characteristic layer under the action of the algebraic group."
"Through the properties of the characteristic layer. , the following mapping can be introduced: Φ:→W, such that: Φ(f)=g∈G∑gf ”
"Using the principle of categorization contraction, it can be proved that: g∈G, gΦ(f)=Φ(f). Therefore, Φ(f) is an invariant function and can be regarded as a natural function of the Whittaker layer. Homomorphism."
"It can be seen that: f can Described by the automorphism through the Whittaker layer. "
...
Returning to his cabin, Qiao Yu quickly opened LaTeX, wrote the above content, and saved it directly. Sent to Professor Li from Huaqing University across the street.
A very short proof process, but that’s how mathematics is sometimes.
It was so difficult when I didn't expect it, but as soon as inspiration came, the problem was solved naturally.
Probably because he has been thinking about this issue recently, Brother Chen’s phone call just now, when he relayed Director Tian’s description of symmetry, made him suddenly think of a geometrically intuitive idea: treat the global function as some kind of Invariant form under transformation.
After hanging up the phone with Senior Brother Chen, he completely planned in his mind how to combine the feature layer theory and the principle of categorization shrinkage, understand the properties of the global function by constructing a transformation group, and consider The Whittaker layer changes under this transformation, thus revealing the relationship between them.
After sending the email, I checked my certification process again, then picked up the phone and dialed Professor Li directly opposite.
Although he wrote very briefly, Professor Li, who has been studying this issue for a long time, can definitely understand his thinking.
The call was answered soon.
Qiao Yu said straight to the point: "Hey, Professor Li, I just seemed to prove that the global function can be described by the automorphisms of Whitaker layers, and the structures of these automorphisms are consistent with the representation of algebraic groups. It's directly related. It's just been sent to your mailbox. Why don't you show up? Are you trying to see what I think?”
“You fully proved it?”
“Well, it’s just a bit brief.”
“Wait a minute. Don’t hang up yet, I’m right next to the computer, let me take a look first.”
There was a noise of dragging the keyboard and mouse on the phone. Qiao Yu simply turned on the speakerphone and put the phone on the table.
There was no response from the other party for a long time, and Qiao Yu's thoughts began to wander.
Well, a senior asked him for WeChat just now. This seems to be the first time he encountered this kind of thing at Yanbei University...
No, he shouldn't have run away just now Yes, it looks very lackluster...
Senior sister, don’t you think you were scared away?
Speaking of which, the fan school girl seems to be quite beautiful, but I don’t know if she is smart or not...
No, she is the most beautiful in mathematics, Qiao Xi is second, and Keke is third...
"This...proof, this proof...how did you come up with it?"
The voice coming from the phone again finally brought Qiao Yu's divergent thinking back together.
“Well, it’s a long story. It starts with the fact that I attended a philosophy class on truth this morning. Well, Professor Li, are you sure you want to listen now?”
"Forget it! I want to verify it first. Pay attention to WeChat. You can talk about it during the team discussion around eight o'clock in the evening. Qiao Yu, you are really a super genius!"
Thanks to the passers-by. The main reward and encouragement!
Thank you Liu Yangguohai for your reward and encouragement!
The 43rd day of the 10,000-word update check-in has been completed!
Look, real men mean what they say!
Wait for me to rest for a few days, and then prepare the update plan for the next issue! ! !
(End of this chapter)