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Chapter 128 Qiao Yu, you are really a super genius!

Tian Yan was not wrong about Qiao Yu at all. This guy was 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 taught Qiao Yu what kind of man he should be through words and deeds.

For example, repay kindness with kindness, and repay evil with justice; for example, think twice before doing something, and act immediately after deciding to do it; for example, men should take on men's responsibilities, saving money is something women need to consider, and men should be responsible for making money; for example, responsibility is only for worthy things and people...

Quite a lot anyway.

Fortunately, Qiao Yu had a good memory since he was young, otherwise he would not have been able to remember so much.

The next five years of independent living taught Qiao Yu to be good at reconciling and compromising with his stubborn temper when appropriate.

Generally speaking, a person who clearly knows his strengths will be very competitive, while a person who clearly knows his weaknesses will be very scary.

Qiao Yu has both.

So he is really competitive, and actually quite scary to his enemies.

People with good memory remember both kindness and hatred.

After many people have come into contact with Qiao Yu, they feel that this kid is a person with high emotional intelligence. If he is willing, he can make everyone around him feel warm and happy.

But in fact, everything is an illusion.

Separating IQ from EQ is actually a very funny thing.

Because people with high IQs can easily accommodate others, it just depends on whether these people with high IQs are willing to accommodate others.

Just like when Qiao Yu was in Class 13, he could easily get along with his classmates and had a very good relationship with them.

This depends on strong observation and the ability to think from other people's perspectives.

Show yourself when you should, and hide your shortcomings when you should. 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 benefits based on logic and rational thinking.

After all, he has a family to support.

This can be seen from the two big brothers in Class 13 arguing about who invited Qiao Yu to go online more often.

Some people are like this, they clearly take advantage of the other person and still make the other person feel great, wishing that the other person could earn more.

In Qiao Xi's words, Qiao Yu has rationality and calculation engraved into his bones, and what he lacks most is sincerity.

But Qiao Yu concealed this point very cleverly.

He carefully hides his pride and appears harmless in front of everyone. He uses the occasional displays of pride to strike back at those close to him in order to maintain his innocent personality.

This way of treating people and things by leveraging their strengths and avoiding their weaknesses has almost become an instinct for Qiao Yu.

So even though there has been no progress on the two-dimensional generalization of Chevalier's theorem during this period, Qiao Yu is not in a hurry.

He would carefully record the results of each failed attempt and then send them to Professor Li via email.

He would also attend the group's meetings on time. However, he was very cautious in every meeting and would not steal the show. After all, it was someone else's project, so he would wait until the three professors had finished speaking before he spoke.

He humbly put forward some of his own whimsical opinions and suggestions, and kept a low profile. He was very polite and respectful to the three professors and even other graduate students present at the meeting.

This also allowed Qiao Yu to quickly win the favor of everyone in the entire research group from top to bottom.

A sixteen-year-old child who has just made remarkable achievements in the mathematics world, is not proud at all and is very respectful to the professors. It is really easy to gain the highest favorability rating.

Another good news is that Tian Yanzhen also helped him submit his paper on singularities to Invent. Math. Now it has passed the editing stage and entered the stage of looking for reviewers.

The only difference was that this time when submitting the manuscript, Tian Yanzhen called Qiao Yu to his office and taught him how to submit the manuscript, including introducing him to 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 lecture at Huaqing University, 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 community, then I will have no choice but to overturn the table.

As for Yuan Zhengxin, he praised Qiao Yu highly again.

There is no doubt that from Yuan Lao's perspective, Qiao Yu is not only talented, but also extremely motivated. No matter how impressive his achievements are, he never slacks off. This attitude towards mathematics is even more valuable than talent in the eyes of the old man.

The love for you doubles immediately.

Qiao Yu might not have realized it himself, but when he told Mr. Yuan that he wanted the soil from the moon, Mr. Yuan insisted on helping him think of a solution.

Anyway, no matter what, after not setting so many demands on himself, Qiao Yu actually felt that his life was quite relaxed.

He was too lazy to stay in his little house every day, so he studied the class schedules of various departments of Yanbei University every night, and went to attend classes that interested him during the day.

He was not limited to courses in pure science and engineering such as mathematics, physics, and chemistry. He would also listen to content on literature, philosophy, sociology, communication, and law.

However, when it comes to the humanities, Qiao Yu will look at the students' evaluations.

I specifically look for those big-time professors who students say have lectures that are not based on the textbooks and are particularly interesting.

For this purpose, Qiao Yu even bought two sets of old cadre clothing online, just to look older.

After all, he really just wanted to hide in the corner and listen to the class quietly, without any other purpose.

However, his young and handsome face always brought him some troubles - such as being teased by Yanbei's senior schoolmates.

Really, boys have to learn to protect themselves when they go out. This has never been so real.

Qiao Yu was still thinking that after all, he was now a celebrity in the mathematics world and many people should know him.

After all, his photos with the two mathematics giants were widely circulated on the Internet.

But unfortunately, except for the times when he went to the College of Mathematics and Physics to attend classes, few people in other departments of Yanbei University recognized him.

This also made Qiao Yu begin to realize that the omnipotent Internet often seems to give people a false impression... They always feel that they are already big shots, but in fact they may not be as famous as they think.

Everyone's influence is probably limited, especially in mathematics, it seems quite difficult to break out of the circle.

Of course, it may also be that his appearance is not very recognizable, he is just ordinary handsome and ordinary confident.

At the end of April, the visa to France was approved.

Speaking of visas, there was a small episode.

On the day of the scheduled interview, Professor Zhou, who had obtained Qiao Xi's authorization letter, accompanied Qiao Yu.

When talking face to face with the visa officer, the other party 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 answered for Qiao Yu: "My student has been invited to Paris to attend the World Algebraic Geometry Conference next month. He is one of the speakers invited by the conference."

The visa officer looked at Qiao Yu and asked, "Oh, you are so young and yet you have been invited? Qiao Yu, can you briefly tell me the purpose of attending this meeting and the content of your report?"

Qiao Yu patiently replied: "Do you know the geometric Langlands conjecture? Recently, a mathematician claimed to have proved this problem, but I found a small error. Then they invited me to explain this error."

The visa officer nodded and continued, "That is to say, the importance of your participation in this conference lies in correcting a mistake. Do you think such a report is worth all the travel expenses? In addition, have you ever considered staying in France to continue studying mathematics?"

Qiao Yu was getting a little impatient, and said directly to the visa officer: "That's enough. What kind of questions are you asking? Didn't you learn mathematics in college? Do you know how many mathematics papers will be removed if you prove that a widely accepted theorem is wrong?
Besides, have you stayed in this house every day since you came to Beijing and never gone out for a walk? If your country had not produced mathematicians like Poincaré, Hilbert, and Gauss, and this algebraic geometry conference happened to be held there, how much do you think I want to go to your country?
Don't you have an idea of ​​what Paris is like now? The Seine River has become like that. I dare not drink your tap water when I go there. Are you afraid that I will not come back? Isn't this confidence a bit inexplicable? I am a student of Yanbei University now. My teacher is a Huaxia academician. Why do I stay there to study?
Look carefully at the invitation letter. I decided to go because the organizing committee invited me! If I were not given a signature, I would not go. Do you think it is my loss? It is the loss of the world mathematics community! "

Really, when Professor Zhou Liang, who was accompanying him at the time, heard Qiao Yu suddenly say this, he was so scared that he broke out in a cold sweat and forgot to help explain for a moment.

Fortunately, the visa officer on the other side was just stunned, hesitated for a moment, then lowered his head expressionlessly and began to silently check the documents. After a while, he spoke directly: "Okay, your information looks complete. The visa will usually be issued within a week. 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 problem in the current frontier research of mathematics. Qiao Yu's speech this time can be said to be of great significance to the mathematics community. I suggest that you contact the organizing committee of this conference before making a decision.

In addition, all expenses for Qiao Yu to attend the conference were fully covered by the Yanbei International Mathematics Center. The materials we submitted include relevant financial proof materials. "

The visa officer looked up at Professor Zhou and replied expressionlessly, "Please trust my professionalism. I will not let my personal emotions affect whether your visa is approved, sir."

……

After leaving the visa center, Professor Zhou couldn't help but start to scold Qiao Yu: "No, Qiao Yu, your temper came suddenly, didn't it? What did I tell you before I came here? Just answer the visa officer truthfully."

Qiao Yu immediately lost his rebellious look, raised his head, and replied with a sunny smile on his face: "Professor Zhou, you are right. But respect is mutual. That guy just now was so annoying. It was clearly written 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, isn't this looking down on our Yanbei University? This is what makes me angry. How is our Yanbei University's School of Mathematics worse than those universities in Paris? Who gave him the face? Really, it doesn't matter if he looks down on me, but I can't stand it if he looks down on my future alma mater, Director Tian, ​​Professor Yuan and you.

Whether or not you can attend the meeting is a minor matter; the face of your alma mater and mentors is a major issue!"

Professor Zhou opened his mouth, but suddenly didn't know what to say.

Forget it, he was too lazy to say anything more, it was really no big deal.

If your visa is really rejected, you can contact the conference organizing committee to explain the situation and think of a solution. If it really doesn't work, France is one of the Schengen countries, so you can just change planes...

Anyway, Qiao Yu’s mentor is very powerful.

The most important thing is that after listening to Qiao Yu's explanation, Professor Zhou also felt that the question was a bit too much. And it probably touched the sore spot of 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 feeling was that today’s young people are so amazing.

……

Just as Lao Zhou imagined, he reported the matter to Tian Yanzhen over the phone. Tian Yanzhen just said lightly on the phone: "Haha, this kid has a bad temper. It's okay, the visa should be approved. If it really can't be approved, I'll go ask again."

And then nothing happened.

However, on the third day, Professor Zhou received a call informing him that Qiao Yu's visa had been approved.

Professor Zhou made a special trip and got Qiao Yu's passport. Looking at the label on Qiao Yu's passport indicating the validity period and number of entries, he was filled with emotion.

I always feel that when he was applying for a visa to study abroad, his attitude towards the visa officer was a bit too restrained. He was really not free and easy at all.

Of course, he didn't have such a powerful teacher to support him at that time.

But then again, Qiao Yu didn't ask Academician Tian for help, so that was acceptable.

It seems that what this guy said is right, respect should always be mutual.

There is really no need to be too polite when you can't gain respect.

……

When Qiao Yu learned that his visa had been approved, he was attending a class in the Philosophy Department of Yanbei University.

After taking a look at WeChat, he obediently put the phone back into his pocket and continued to listen to the class attentively.

This is a big class, an introduction to Chinese and Western philosophy, but there don't seem to be many students studying philosophy, so if you don't pay attention, you can definitely tell from the stage. And to be honest, Qiao Yu didn't feel very excited just because his visa was approved.

Qiao Yu had the experience of standing on the podium to give a report, so he knew very well that the instructor could see all the little movements of the students at a glance. Even whether they were listening to the class or daydreaming, it was clear at a glance.

"…So what is truth? Aristotle said: Truth is to say what is that it's, and what is not that it's not. My understanding is that truth is a state of being consistent with things.

For example, when we say snow is white, its truth depends on the fact that the snow we often see in reality is indeed white. But is there any place where the snow is other colors, or even black? Of course there is! For example, after a volcanic eruption, ash and snow fall at the same time, making the snow appear black or dark gray. Especially in mountainous areas.

So the question is, is truth subjective or objective? In different cultures, will the different understandings of morality and ethics also lead to different understandings of truth? This is the relativity of truth.

Obviously, ancient Greek philosophers did not think so. For example, Plato's theory of ideas believed that truth is an eternal and unchanging concept that transcends the changes in the material world. Please note, students, here Plato emphasized the durability and immutability of truth, and it is not even affected by the 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 you understand this concept better, I will tell you a story..."

The class lasted about a hundred minutes, and Qiao Yu listened with great interest.

The first half is an introduction to mainstream international views, which are mostly content from the textbook, but the second half is left to the professor to express freely.

In addition to well-known celebrities such as Kant and Nietzsche, William James, Ludwig Wittgenstein, Michel Foucault... a bunch of Western thinkers' various arguments are cited extensively and various examples are readily available.

What about relativism and absolutism, pragmatism, logical philosophy, power and truth, the paradigmatic truth of scientific theory... and even the truth based on gender and identity...

Really, there was no need for PPT, and Qiao Yu was kept in his thoughts for more than an hour. The most amazing thing was that after talking so much, the professor did not give a final concept of truth until the end of the get out of class.

Instead, I assigned this question as homework.

The topic is very simple. It requires students to understand for themselves what the truth is and then write an essay and submit it.

Listening to the uproar of his senior brothers and sisters sitting in front of him, Qiao Yu was still quite satisfied.

This is the benefit of taking classes for free.

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...

Doing homework, impossible.

Besides, being a professor in the philosophy department seems to be easy. The word "truth" can be extended to more than 100 minutes of content, and no conclusion is given in the end. If the mathematics department plays this way, the students will probably go crazy...

After class, it’s time to eat.

The Department of Philosophy is very close to Nanyuan Canteen.

Qiao Yu usually didn't attend the 8 a.m. classes, so when he finished his classes at the college he attended, it was basically time for lunch, so he would eat in the nearby cafeteria.

During this period of time, I ate in all the cafeterias in the Yanbei campus.

I also have an idea of ​​the special dishes of each restaurant.

I was enjoying my meal when I received a call from Brother Chen.

"I...Qiao Yu...you, you, you..."

"What's wrong with you, Brother Chen?"

"You, you are invited to attend the World Algebraic Geometry Conference and give a thirty-minute presentation at the conference?"

After a while, Chen Zhuoyang on the other end of the phone finally managed to say this sentence coherently.

"Ah? Really? Senior Brother Chen, this matter has been decided a long time ago. You are the know-it-all in our Mathematical Research Center. How did you find out about it just now?"

After a long while, the other party finally uttered: "No one told me, and you didn't tell me either, so how would I know?"

Qiao Yu replied: "Well... I just thought that you, Brother Chen, will leave school next month, so I didn't want to cause you any trouble. No, who is so talkative..."

"Professor Zhou just brought your passport to Director Tian. I happened to run into him, and Professor Zhou mentioned this matter casually."

Qiao Yu felt that Senior Brother Chen knew how to flatter people in a subtle way. For example, through his incoherent way just now and his seemingly aggrieved tone now, he could gain a lot of emotional satisfaction.

So Qiao Yu followed what Senior Brother Chen said and said, "Well, Senior Brother, it's just an algebraic geometry conference, not the World Congress of Mathematicians, you don't have to get too excited. Next time if I can be invited to give a 60-minute report at the World Congress of Mathematicians, you can be happy for me." He said this not to show off, but to let Senior Brother know that he already understood these subtle flatteries.

"Oh, where are you now?"

"South Garden Canteen."

"Why do you have to run so far just to eat?"

"I just arrived at the philosophy department and took a class on truth. The professor's lecture was very interesting, but I just felt like I didn't listen. Oh... maybe I'm not cut out for philosophy?"

"What are you going to listen to in the philosophy department? What useful things can they teach? What about truth? The definitions of philosophy are very vague, and the argumentation process can be directly idealistic. I tell you, mathematics is the truth. Right is right, wrong is wrong! It is very clear."

"Hey, Senior Brother, you don't know, my head is swollen from doing the project recently. Listening to these contents is quite interesting and can relax my brain."

"Don't listen to that nonsense. If you really want to talk about the collision of ideas, mathematical descriptions are the most beautiful. My boss once said in a lecture about symmetry that we should look for the unchanging in change and seek simplicity in complexity. Isn't this kind of mathematical thinking much more interesting than the mysterious things in philosophy? Don't be led astray by those mysterious theories."

Chen Zhuoyang's words entered Qiao Yu's ears, as if activating a switch, causing Qiao Yu to subconsciously ask: "Wait, Brother, what did you say Director Tian said just now? Change that..."

"Hmm? Finding the unchanging in the changing, what's wrong?"

"Oh, nothing, I didn't hear it clearly. I'll go back after dinner, I'm hanging up now."

"Hey, there's no rush. I just called to ask about your situation... Hey... um, hang up?"

Qiao Yu hung up the phone directly and didn't hear what Chen Zhuoyang said next.

Look for constancy in change and simplicity in complexity.

Qiao Yu thought that Professor Zhang seemed to have talked to him about similar content before, but of course the wording was different.

However, when combined with the problems he had been pondering recently, he seemed to feel a ray of light shining into his brain.

The core of a 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 in itself constitutes a kind of 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 research is that the calculation of global functions usually involves multiple variables and complex combinations. All his previous attempts have faced high computational costs and reached a dead end.

If we can effectively use symmetry to extract invariant features, we may be able to transform tedious calculations into more intuitive analysis.

In particular, if the global function can be regarded as an invariant form under the action of a certain group of transformations, can the relationship between the global function and the Whittaker layer be revealed from this perspective?

If successful, it would be clear that analyzing global functions from the perspective of invariance would make complex problems clear. This transformation, if feasible, would not only be a theoretical breakthrough, but also provide a concrete computational method.

Thinking of this, Qiao Yu's thoughts 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 influence of this group.

Quickly construct various possible transformation methods in your brain, how to map the global function to a new space through the action of the transformation group, and use the space to simplify calculation and analysis...

……

"Hey, Xiaoyue, do you see that guy is staring at you? Xiaoyue."

Zhao Xiaoyue followed the gaze of her best friend and said angrily, "Stop it, she's clearly in a daze."

"Yes, I was shocked by your beauty, so I was in a daze. Haha..."

Zhao Xiaoyue glared at the unruly woman beside her...

Although she is confident about her looks, she has had no shortage of suitors since junior high school. In high school, a classmate even found a way to unlock the camera of the tablet computer used in class, secretly took a video of her during the break, and uploaded it to a short video app.

Not only did the video become a minor hit, with over 300,000 likes, it also garnered a bunch of comments such as "It's over, I suddenly want to fall in love" and "It completely meets all my fantasies about my first love."

But Zhao Xiaoyue really didn't think that she was so beautiful that any boy in the cafeteria would stare at her in a daze.

Of course, 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 over just now, they happened to glance at Qiao Yu, who was eating normally at that time. It was obvious that he became like this after receiving a phone call. Especially at this moment, Qiao Yu was still holding the phone in his hand, frowning slightly, and his eyes were obviously empty and unfocused...

It didn't look like he was staring at anyone, but Zhao Xiaoyue found it quite interesting to see Qiao Yu able to maintain this posture.

Aren’t your hands numb and your neck sore?
wrong……

"Wait, Tang Jing, don't you think he looks familiar?"

"Really? Xiaoyue, is there really a love relationship between a man and a woman? But he looks very young, younger than all of us. So you like this type? But he looks good, but his clothes are not good. He dresses in an old-fashioned way."

"Still making trouble? I'm telling you the truth. Take a closer look!" Zhao Xiaoyue said with a frown.

"Eh? If you put it that way, it does look familiar."

"Change into that grey casual sportswear..."

"Oh...the one from the Mathematics School, that one, Qiao, Qiao, Qiao Yu?"

"It's not the School of Mathematics. It's a joint training program between Yanbei University and the Huaqing Mathematics Research Center."

"Wow, this guy is a real genius! If we can make friends with a genius, can we easily pass subjects like advanced mathematics, linear algebra, and probability statistics?"

Zhao Xiaoyue and Tang Jing are both students in the Department of Economics at the School of Economics of Yanbei University.

In fact, it is not just the School of Economics. For the vast majority of students who are not majoring in mathematics and physics, as long as their major requires them to take courses related to mathematics and physics, they will be the most troublesome.

Even if it's just Advanced Mathematics B and Physics B.

Of course, even advanced mathematics C and general physics courses can give many liberal arts students a headache.

After all, many students choose liberal arts because they are afraid of math and physics.

Otherwise, people on the Internet would not make fun of advanced mathematics and physics together.

"Just pass it? You wish. But if you can get the God's WeChat, you will have someone to ask for help with difficult problems in advanced mathematics in the future." Zhao Xiaoyue glanced at Tang Jing and said.

In fact, there is no need for metaphors.

Any student from the School of Mathematics at Yanbei University can easily handle the content of Advanced Mathematics B.

The only problem is probably that everyone has their own social circle, and students in the School of Mathematics will not have 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 desire to be strong, which everyone has.

"How about we sit down and talk to him?" Tang Jing suggested.

"Forget it, I'd better not go over. It's not good to disturb others." Zhao Xiaoyue hesitated and shook her head.

Tang Jing rolled her eyes and said, "Then I'll go alone."

After saying that, he stood up with the food tray in his hand.

"Ah? Are you really going? I think he might be thinking about something, so it's better not to disturb him."

"What are you afraid of? I have no intentions towards him. Can't we just be friends? Besides, I can wait for him to come to his senses."

After saying that, Tang Jingzhen walked towards Qiao Yu's seat with the food tray.

Zhao Xiaoyue was a little confused, but after thinking about it, she decided not to go crazy like her best friend...

It would be bad if it disturbed the great god's thinking.

……

Qiao Yu, who knew nothing about the outside world, had just completed the deduction of the correlation between the global function and the Whittaker layer in his mind.

Just when I was feeling excited, I suddenly noticed that there was a senior student sitting opposite me.

However, Qiao Yu did not take it seriously. He encountered this situation frequently. After all, the cafeteria was 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, the senior schoolmate actually recognized him.

"Hello, are you Qiao Yu from the Mathematics Research Center?"

"Hello, yes. Who are you?" Qiao Yu nodded and responded cheerfully.

You see, he is indeed a celebrity after all. He can be recognized just by eating in the cafeteria.

After all, this is not the territory of the Department of Mathematics.

"I'm studying economics at the School of Economics. My name is Tang Jing. Master, we're roommates. Look, the one sitting over there, Zhao Xiaoyue, is your fan and follows you on Weibo. She's too embarrassed to come over and say hello to you, so can you add her on WeChat? It'll be convenient for me to recommend your WeChat to her."

Qiao Yu blinked, turned his head past Tang Jing, and glanced at the senior student opposite who was eating elegantly. Oh, what a beauty, she seems to be comparable to Xia Keke.

Qiao Yu then retracted his gaze and said seriously, "Senior Tang Jing, the question I was thinking about just now is about the two-dimensional generalization of Chevalier's theorem. An extremely important technology is used here, which is Langlands duality.

In short, this tool makes it possible to 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 answered seriously, "What I mean is that communication between people is different from mathematics. If you need to establish a connection, it doesn't have to be that complicated. For example, your sister can just ask for my WeChat. If there is an extra step in the middle, there will be many complex variables.

For example, maybe your sister is just a shield you put forward, or maybe you are playing truth or dare and making fun of me, so Sister Tang Jing, next time, let your sister ask for it, or admit that you are my fan... Well, anyway, next time for sure!"

After saying that, Qiao Yu quickly ate a few mouthfuls of rice, then stood up, turned around and ran away under the dazed gaze of the senior student opposite him.

Of course, he was not afraid of the senior student across from him, he simply had to go back quickly to write down what was in his mind.

……

Tang Jing sat there in a daze for a while before she picked up the plate and returned to her sisters.

Zhao Xiaoyue suppressed her smile and asked, "Tell me, how did you scare the great god away?"

Tang Jing said sullenly, "It's true that the School of Mathematics is the leader of the four major insane asylums. I told Qiao Yu that you are his fan and wanted his WeChat. But he came up with a bunch of nonsense. What about Chevalier's two-dimensional promotion, Langlands duality..."

"Wait, what did you say to him?" Zhao Xiaoyue stopped smiling and stared at Tang Jing in embarrassment.

"You are his fan. Didn't you apply for a Weibo account and follow him the other day?" Tang Jing said confidently.

"I've explained it so many times. It's because I found the discussion about the century's mathematical solution in the group very interesting, so I followed his Weibo. I just want to be the first to know if there is any new development. What kind of fan is this?" Zhao Xiaoyue said helplessly.

"But don't you think this is fate? This is not the Mathematics Center. Did we suddenly want to come here for a meal and meet? That... Xiaoyue, you are not angry because I said you wanted to add him on WeChat and he turned around and ran away, right?" Tang Jing blinked and asked thoughtfully.

"I didn't!" Zhao Xiaoyue answered firmly.

Tang Jing nodded and said, "As expected, it's okay. The master just said that if you ask for the WeChat ID yourself, he will definitely give it to you."

"Ah……"

……

"Let the global function be f:→C, where is the swap heap."

"The group of transformations G, which acts on global functions, is defined as: gf(x)=f(g^1x) for all g∈G, x∈."

"Define the Whittaker layer W so that it is 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 feature layer, we can introduce the following mapping: Φ:→W, such that: Φ(f)=g∈G∑gf."

"Using the categorization contraction principle, we can prove that: g∈G, gΦ(f)=Φ(f). Therefore, Φ(f) is an invariant function and can be regarded as an endomorphism of the Whittaker layer."

"It follows that f can be described by the endomorphism of the Whittaker layer."

……

Qiao Yu returned to his own cabin, quickly opened LaTeX, wrote down the above content, saved it directly and sent it to Professor Li at Huaqing University across the street.

It’s a very short proof, but that’s how math works sometimes.

It’s extremely difficult when you don’t expect it, but when inspiration comes, the problem is solved naturally.

Perhaps it was because he had been thinking about this problem a lot recently, and just now, when Senior Brother Chen called and relayed Director Tian's description of symmetry, he suddenly thought of a geometrically intuitive idea: regard the global function as an invariant form under some transformation.

After hanging up the phone with Brother Chen, he had a complete plan in his mind on how to combine the feature layer theory with the principle of categorization contraction, understand the properties of the global function by constructing a transformation group, and consider the changes in the Whittaker layer under this transformation, so as to reveal the relationship between them.

After sending the email, he checked his proof process again before picking up the phone and dialing Professor Li directly.

Although he wrote it very briefly, Professor Li, who has been studying this issue for a long time, will definitely understand his thinking.

The call was answered soon.

Qiao Yu got straight to the point and said, "Hey, Professor Li, I just proved that global functions can be described by endomorphisms of Whittaker layers, and the structure of these endomorphisms is directly related to the representation of algebraic groups. I just sent it to your email. Would you like to take a look at my ideas now?"

"Have you fully proved it?"

"Well, it's just a little 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, so Qiao Yu simply turned on the speakerphone and put the phone on the table.

There was no response from the other side for a long while, and Qiao Yu's thoughts began to wander.

Well, just now a senior student asked him for his WeChat. This seemed to be the first time he encountered such a thing at Yanbei University...

No, he shouldn't have run just now, it would have looked so unimpressive...

Didn’t the senior sister think that she was scared away?
That fan girl seems pretty, but I don't know if she's smart...

No, mathematics is the most beautiful. Qiao Xi is second, and Ke Ke 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 scattered thoughts back.

"This is a long story. It all started with a philosophy class about truth that I attended this morning. Professor Li, are you sure you want to listen?"

"Forget it! I need to verify it first. Keep an eye on WeChat and talk to me during the team discussion around 8pm. Qiao Yu, you really are a super genius!"

　Thanks to the helmsman who is passing by for the tip and encouragement!
　　Thanks to Liu Yangguohai for the reward and encouragement!
　　The 43rd day of the -word update check-in is completed!

　　See, a real man’s words count!
　　Let me rest for a few days, and then prepare for the next ten thousand update plan!!!

　　
　
(End of this chapter)