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Chapter 129 There is no other choice but to work harder!

Areston community, Cambridge, USA.

This community is very close to MIT and Harvard University. It has a quiet environment, good schools, and its own park.

However, Zhang Xinwen chose to live here because, compared with other middle-class residential areas in Cambridge or Boston, the housing prices here are lower and the living quality is not bad, so it is a great value for money.

Moreover, many people in the community are faculty members from MIT and Harvard, so you can feel safe living there.

There is no way. Although the profession of professor in American universities has a certain social status, it is not considered a high-income group, especially when it is not very famous.

It is well known that this country has really taken the idea of ​​birds of a feather flock together to the extreme.

The middle class and the poor are mixed together, and knowledge and crime are often only one street away. Everyone has even become accustomed to this.

In any city here, even the capital city like Washington or the world financial center like New York, some areas will also have higher crime rates and social problems. Relatively speaking, Cambridge, which has Massachusetts and Harvard, is already very safe.

Especially at night, the neighborhood is quiet, even silent.

Middle-class communities generally don’t have the habit of going out at night. There is no noise from cars on the streets, and no unidentified people partying inexplicably in the neighborhoods. If a family makes noise recklessly, they will most likely receive a 911 visit package.

At this early hour in the morning, cell phone ringtones are often particularly piercing.

Zhang Xinwen was awakened by the shrill ringing sound. As soon as she opened her eyes, she heard the complaints of the woman next to her.

"Who is it? Why are you calling at this time? I've told you many times to turn your phone to silent mode before going to bed at night." After saying that, the woman next to her turned on the light, got up angrily, and walked out of the room holding the quilt.

Zhang Xinwen just felt a headache.

When people reach middle age, conflicts between couples seem to increase suddenly, and mathematics professors are no exception.

We had just had a fight before going to bed, and I finally managed to coax him to sleep, but a phone call escalated the conflict again.

I shook my head helplessly, picked up the phone, and when I saw the number, I became angry.

If it was the number of a colleague in Cambridge, it would be fine, at least it proves that the person is still staying up late.

But this is Huaxia's number.

Don't you know how to respect the time difference? Cambridge EDT is 12 hours behind CST!
It is already 12:50 in the morning in Cambridge. Is Li Lixing crazy?

He answered the phone with resentment, but before he could say anything, the person on the other end said, "Professor Zhang, go check your mailbox! Qiao Yu's certificate is out!"

Zhang Xinwen was a little confused, and subconsciously asked: "Qiao Yu? What did he prove?"

"No? What else could it be? Of course it's the problem we are facing now! I won't say more, I still have to inform Ronald!"

"Beep beep..."

The busy tone in the mobile phone receiver made Zhang Xinwen stunned for a while.

no……

Just hung up?
He seemed to be planning to curse this guy who disturbed people's sleep and destroyed the relationship between couples, so why did he die?
and many more……

Did Qiao Yu prove that problem?

His brain was finally fully activated, Zhang Xinwen suddenly got a start, then he casually found a piece of clothing to put on, walked quickly to his study, turned on his laptop, and quickly logged into his email.

Sure enough, there was an email from Li Lixing sent from Huaqing, and the attachment was a very small picture.

Zhang Xinwen clicked it doubtfully, and the extremely concise proof process forcefully penetrated into his mind.

After reading it carefully, Zhang Xinwen felt that it was a little unreal. The problem that had troubled them for more than half a year, was solved by Qiao Yu in just six lines?

After sighing in his heart for less than two seconds, Zhang Xinwen picked up a pen, pulled out a stack of papers from the table and began to do deductions.

For example, the proof of the invariance of the fifth line.

Here the prover ensures that the average value of the global function under the action of the transformation group is a characteristic layer.

This is very important because it proves that the constructed feature layer W actually captures the main characteristics of the global function, rather than changing with the group. The logic of the proof is that by changing the average action of the group, it can be guaranteed that the result still belongs to the feature layer.

But Qiao Yu's expression is: 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.

This is clearly too concise.

Using the categorization contraction principle, this sentence is easy to say but difficult to prove. First, we need to define the average value: Φ(f)=1/|G|g∈G∑gf, and then verify the invariance: g·Φ(f)=g·{1/|G|g∈G∑gf}...

Time passed as Zhang Xinwen wrote furiously. Before she knew it, she had already filled three full pages of manuscript paper for calculations. Then she came up with the same answer as Qiao Yu's proof.

"Yes!" Zhang Xinwen couldn't help but shout excitedly, causing a burst of barking from dogs outside the house. He then realized that it was already early in the morning and was so scared that he immediately closed his mouth.

Fortunately, there was no movement inside or outside the house except for the dog barking twice.

Zhang Xinwen felt relieved, but was still emotional.

It is hard for any mathematician not to be excited when a problem that he has been thinking about for more than half a year is suddenly solved.

After the excitement came a wave of fear.

Fortunately, Professor Yuan took the initiative to bring Qiao Yu into their research group...

Otherwise, what if this guy found out about their topic from another channel and solved it for them?
In this situation, at least we can say that their previous research was valuable, and at least it helped Qiao Yu sort out the context of this issue.

Now that this problem has been solved, he can finally start working on the next step of the project!
The world is so beautiful.

……

Cambridge, Massachusetts, is about 3,000 kilometers away from Berkeley, California, which is also the distance from the East Coast to the West Coast.

For many small countries whose weather forecasts can be summed up in just one sentence, it is probably difficult to understand how it is to belong to the same country even though they are so far apart.

The answer is probably not very good, especially when a country does not use the same time zone.

We are all members of the same big family, but there is a three-hour time difference, which makes internal communication very troublesome. This is especially true for large companies and scholars who need to communicate frequently. It is common to receive an important meeting notice and then get the time mixed up.

Just when Zhang Xinwen was feeling fortunate and excited, Professor Ronald from Berkeley had already completed the missing steps.

Unlike Zhang Xinwen, Ronald completed the entire proof process while video chatting with Li Lixing.

Although it was already 1:30 in the morning in Cambridge, it was only 10:30 in the evening in Berkeley.

So Ronald can express his emotions more freely than Zhang Xinwen.

"You know what? Li, when you said you wanted to add a child to the team, I actually wanted to refuse directly. This would make academic research less pure! If it wasn't for that Joe who found a loophole in the proof of the geometric Langlands conjecture, I would definitely refuse!
Now it seems that this was not the right decision. Fortunately, I was convinced by you at that time. Of course, it was not you who convinced me, but he convinced me with that perfect proof process! You know? Now I really want to know how he came up with this idea! This idea is so beautiful! "

Ronald said excitedly to the camera.

Apparently the professor was not very careful about concealing his thoughts when he was excited.

But it didn't matter. When Li Lixing proposed to add fresh blood to the research team, and Li was only a sixteen-year-old boy, Ronald was indeed not very interested in this proposal.

In fact, Berkeley would accept many students whose grades did not meet the requirements, which disgusted Ronald.

The only good thing is that these students tend not to be admitted to mathematics departments.

Originally, Ronald thought that Qiao Yu was probably this kind of student.

He felt that someone wanted to use their research results to pave the way for the future of this 16-year-old Chinese boy. This kind of thing is actually very common in the academic world. What made him angry was that there was no exchange of resources...

The other party seemed to really think that such a sixteen-year-old child could help with their project.

He raised questions at the time.

It was not until Li Lixing sent him an email with some of Qiao Yu's achievements and guaranteed his academic reputation that he reluctantly agreed to allow Qiao Yu to participate in the research.

However, the two parties also agreed that if Qiao Yu never made any contribution to the research group, then when the final results were released, he would have the right to refuse Qiao Yu's signature on the paper.

But now it seems that the agreement has been invalidated.

Qiao Yu has already made important contributions to the research team. Even if Qiao Yu does not make any contribution in the future, he is still qualified to sign the paper.

If this topic can really produce results, it will be qualified to be published in a top journal.

Based on the rigorous academic requirements of top journals, or at least the apparent rigor, authors are also required to explain each person's specific contribution to the results in the appendix.

There is no doubt that the solution of one of the most difficult theorems in this paper not only made this sixteen-year-old boy, whom he once did not believe in, qualified to sign the final paper, but even when the project was completed, everyone had to start seriously considering where Qiao Yu's name should be placed.

Jumping from one trouble to another.

This is based on the assumption that Qiao Yu will no longer pay attention to this project. If Qiao Yu makes any important contributions in the future, Ronald even thinks that the research team should start to consider whether to leave the first author position to Qiao Yu, which is an embarrassing issue.

"I don't know either, but I've already told Qiao Yu that we will hold a group meeting in about seven or eight hours, and then you'll be able to hear from him personally about the inspiration for constructing this series of proofs."

"Okay, but why not now? You know what? I'm a little too excited to sleep! It's cruel of you to make me wake up so early!"

"Ronald, you have to consider that Professor Zhang is in Cambridge, and there is a three-hour time difference between you two. If he misses this meeting, he will probably be mad. Of course, if you need to get enough sleep, you can also wait until nine hours later. At 10:30 pm in China, I believe Qiao Yu should not be asleep yet."

"Oh, by the way, damn the time difference! You know what? How envious was I when I first learned that China spans five time zones, but there is no concept of time difference within the country? Really, this is like a complete country! Not like this, damn, different states can't even unify the time!"

Li Lixing didn't respond to this statement.

Many people will mock their own country, but cannot accept the mockery of others.

There's nothing you can do about it, human nature is just so double-standard.

"So the group meeting will be held in nine hours?"

"Well, no need, eight hours later. I can get up. By the way, Qiao Yu is really only sixteen years old, right?"

"of course."

"Then congratulations, Professor Li. China has produced a true, unquestionable mathematical genius! I can't even imagine what he will achieve when he's thirty."

"What are you congratulating me for? Hey..." In the video, Li Lixing shook his head and sighed, "But if you have the chance, you can congratulate Tian Yanzhen and Yuan Lao in person."

These days, it’s really hard to compete for students.

God knows how Tian Yanzhen dug out such an incredible guy from the CMO so quickly.

If we follow the procedure, we should first be screened by Huaqing and Yanbei together and then enter the elite classes of both sides.

Then professors will select ready-made talents from the gifted classes.

"Okay, let's stop here for today, Professor Ronald. You should take some time to rest so that you can be energetic tomorrow morning."

"Although I'm still excited, you're right. Goodbye, Professor Li."

After hanging up the video, Ronald stretched his body, looked at the complete derivation process again, stood up with satisfaction, and walked out of the study. "Hi, dear, today is a lucky day..."

……

Huaxia, Yanbei University, Qiao Yu waited for a while, but there was no news after Professor Li hung up the phone. He was too lazy to pay attention to Hua Qing's reaction on the other side.

This is just a phased result.

After completing this proposition, there is still a lot of proof work to be done. According to this conclusion, the existing theoretical framework can be expanded, and finally the two-dimensional generalization of Chevalier's theorem for reduced Lie algebras and reduced algebraic groups can be completed.

The next step is to wait for the group meeting, where everyone assigns tasks and then begins the next stage of research.

Anyway, it was still very gratifying to solve a problem. Qiao Yu planned to take half a day off and go out for a walk. He picked up his phone and was about to check the time, and someone in the friend group @ed him.

I clicked on it and saw that it was Yu Yongjun showing a pre-admission letter from Yanbei University.

This thing was really new to Qiao Yu, he had never received one before, so he clicked on the picture to observe it carefully.

The upper left part is the letterhead of the Yanbei University Admissions Office, and in the upper right corner are three rows of small characters with the phone number, fax number, and an e-mail address.

Then in the middle part is the pre-admission notice in red font, and there is a special number.

The main text should naturally start with the name.

"Student Yu Yongjun:

Because you have achieved excellent results in the 2024 National Mathematics Competition Finals, after an interview with our school, we have decided to recommend you to study at the School of Mathematics (Elite Class) of Yanbei University. The formal admission notice will be issued after approval by the Education BU.

I hope you will continue to study hard and strive to achieve better results in your future studies."

In the lower right corner is the official seal of Yanbei University.

It looked very formal and impressive, not fake, so Qiao Yu replied directly: "No? When was the interview? How come I don't know?"

"Haha, I didn't tell you, did I? Boss, I will officially join you next semester!"

Qiao Yu thought about it and encouraged: "Well, that's great. I haven't received anything like this before."

After sending this message, Qiao Yu was planning to end the communication with his younger brother, but who knew that two identical notices would soon pop up in the group.

No, there is a difference. The number on the pre-admission letter is different from the handwritten name.

Qiao Yu was silent for a while. Wow, four of the six official IMO contestants this year chose Yanbei?

I don’t know whether the other two chose Huaqing. If not, it would be very embarrassing.

After all, Huaqing is not bad...

Wait, what do Gong Jiatao and Yu Wei mean?
Just because he said he didn't receive it, do you want to show off in front of him?

After thinking about it, Qiao Yu exited the group chat, then found the chat history with Professor Zhou and forwarded to the friend group the documents that had been uploaded when he applied for the passport, including the invitation letter from the World Algebraic Geometry Congress and the photo of the passport visa page that had just been sent to him today.

"Well, I really don't have this pre-admission letter, but I did receive an invitation letter for the World Algebraic Geometry Congress in France next month, so I will go to the congress in Paris next month to give a 30-minute report."

"Although it's just a satellite conference of the World Congress of Mathematicians, I think it can be considered a kind of exercise, right? The only pity is that it's not a number theory conference. You know, I'm actually more interested in number theory.

"Well, anyway, don't come to visit me from the 17th to the 24th of next month, because I'm not in Beijing. I'm in France. Oh, by the way, Director Tian said that Professor Peter Schulz from Germany also asked me to meet at the conference. He wants to discuss the Langlands conjecture with me."

Qiao Yu quickly typed three messages in succession.

No one interrupted us.

After the last message was sent, no one responded after waiting for thirty seconds.

This made Qiao Yu feel a little unhappy, so he said: "@Everyone, please say something. For example, is there anything you need me to bring back from France? Or do you have any foreign math idols who you want me to get an autograph for?

You guys have no feedback at all, I don't even know if you saw my reply, it makes me feel very embarrassed, especially you @dayu. "

Yes, although he @ed everyone, Qiao Yu still did not forget to @ Yu Yongjun again at the end.

After all, he said so much in the group chat, but no one responded, which was really awkward.

"Boss, Gong Jiatao dragged me into another group he created. Two people are complaining about you over there. They said you are not a human being!"

So that's how it is. Qiao Yu really didn't believe that the two of them could resist feeling jealous.

"Oh, then why don't you send me the screenshots of their chat?"

"Wait a minute, Boss. I'll take a screenshot."

Gong Jiatao was the first to come out: "@dayu I advise you to be kind."

Yu Wei: “…”

Unfortunately, the deterrent power of these two people is obviously not as good as Qiao Yu.

Soon, a long screenshot of the WeChat group chat was sent to the friends group.

After reading it once, Qiao Yu was refreshed and quickly replied: "Tsk, tsk, tsk, so sour! But @Chan Buzhixue, this is not like your style? You haven't even tried your best, but you already want to surrender? How can you let it go? Last time you said that you wouldn't get married if your grades couldn't catch up with me... You can't really plan to be single for the rest of your life, right? So don't give up!"

Yu Wei: "Yes, you win. I have decided never to marry!"

Qiao Yu: "Don't say that so early. What if you meet a girl you like in the future?"

Yu Wei: "I only said I won't get married, I didn't say I can't date. If you like someone, then date them. If you don't like them, then break up. That's it!"

Qiao Yu: "You scumbag! You don't understand that kind of short-lived, empty and boring happiness is nothing compared to the feeling of solving a math problem! A real man pursues the pleasure of controlling the truth! Instead of letting hormones control the brain to pursue those superficial pleasures!"

Yu Wei: "If you take back what you said above, when I come of age I can guarantee to invest in a project you are responsible for, as long as it is within 40 million RMB."

Qiao Yu, who had never expected that there would be an unexpected surprise, took back what he had just said and asked, "40 million RMB? Can you decide?"

Yu Wei: "My father will give me the money after I become an adult, and I can use it as I please. He won't interfere in any way."

Obviously, Qiao Yu was not the only one who was surprised by Yu Wei's words.

The two guys who had been peeking at the screen couldn't help but start to show up.

One sent three question marks in a row, and the other directly sent three exclamation marks.

But it was obvious that these two lowly guys with absolutely no bottom line were simply ignored by Qiao Yu and Yu Wei.

Qiao Yu: "Well... although this is not very polite, I still want to ask you, does your father usually keep his word?"

Yu Wei: "My eldest brother gave away 30 million when he came of age, and my second brother gave away 36 million when he came of age. Now I am the only one left."

Qiao Yu: "Your father is really fair. Doesn't he even take inflation into consideration?"

Yu Wei: “Yes.”

Qiao Yu had a lot of feelings, and could only say that there was a huge difference between fathers in the world and other fathers.

He was just planning to ask Yu Wei why he had such a sudden change of mind, but the atmosphere that he had worked so hard to create in the group was ruined.

Yu Yongjun: "@Chan Buzhixue, brother, let me ask you something, does our dad still need a son?"

Yu Wei: “…”

Gong Jiatao: "@dayu people can't or at least shouldn't! If you just recognize a foster father, I won't speak up for justice! @Chan Buzhixue, rich brother, let's get to know each other again, do you need a sworn brother?"

Seeing the two shameless guys being so flattering, Qiao Yu was too lazy to chat in the group and directly clicked on Yu Wei's private chat interface.

"Didn't you refuse to bet me a hundred dollars before? Forty million? Are you serious?"

"I won't bet with you because it's meaningless to lose money to you. If I sponsor your research project, I'm the benefactor who brought money into the team. These are two completely different things. Even if you are the project leader, you still have to call me boss when you see me! At least the results of your project cannot be achieved without my help!"

Yu Wei's words deeply impressed Qiao Yu, who sighed sincerely, "I finally understand why capitalists have such a bad reputation! If the logic of the descendants of rich people is as old-fashioned as yours, how can ordinary people like me make money? Listen to my advice, don't make yourself so tired, and from today on, you should seriously squander your wealth!"

Yu Wei: "Get lost!"

The conversation still ended with "get lost".

Qiao Yu wanted to tell Yu Wei not to think that he could put on airs in front of the future great mathematician just because he had a few bucks, but after thinking about the balance in his bank card, he gave up.

After all, people cannot be compared.

While he was still thinking about how to get several thesis bonuses from the school in two years, others received tens of millions of cash as coming-of-age gifts.

Of course, it’s only a small goal of 0.4. If it’s posted on the Internet, it’s not worth mentioning. You might even be ridiculed as a poor idiot.

But Qiao Yu thought that this was definitely not a small amount of money, because he had really earned the money himself.

If he were to earn money by providing emotional value to the big brothers in the Internet cafe, even if an average big brother was willing to contribute 20,000 yuan, the studio would have to share 10,000 yuan, and he would only get 10,000 yuan. This means that he would have to serve 4,000 big brothers to earn that much.

Based on the average three orders the studio can assign to him per month, which means a monthly income of 1333, it would take him about 111 months to earn million, which means he would need to work for about years.

But in reality, you can't save that much.

After all, it is not an easy thing for a person to live for more than a century. Food, clothing, housing, transportation and medical care all cost money.

Originally, Qiao Yu was planning to go out for a walk, but after talking with Yu Wei, he suddenly felt that he couldn't slack off.

A family that can give out a total amount of over 100 million yuan as coming-of-age gifts to its three sons when they reach adulthood must have assets that start from several billion yuan.

The rich second generation are working so hard, they are studying for Olympiad mathematics and participating in IMO. He, a child from a poor family, has no right to slack off.

After all, money doesn’t disappear if it’s not used. Even if it just sits in a bank and depreciates, it’s still money and its value is still there.

But talent is of no value unless it is used.

To use the words of a good guy, Yu Wei is just a second-generation rich man. At most, he can only show off in front of him until he grows up. He wants to be a man of the first generation of riches!

So Qiao Yu picked up the book "Principles of Algebraic Geometry" which was left on the desk and he hadn't read it for a long time since he borrowed it from the library.

Starting this week, I will continue to send my reading thoughts to Director Tian and Mr. Yuan.

In addition, he could not only focus on the project of Lao Li, but also had to continue to work on the project assigned by Professor Tian. At least he had to give Professor Tian a decent random prime number model before attending IMO.

Thinking of this, Qiao Yu suddenly felt a headache.

Just now he thought he could relax a little recently, but now that he thinks about it, his recent tasks are still very heavy!

But there's nothing he can do about it; it's his responsibility.

What can someone do if he is born in Rome? He can only rely on hard work to ride on Rome's head and show off his power in the future.

(End of this chapter)