Chapter 129 I have no 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 what matters more is that compared with other middle-class residential areas in Cambridge or Boston, the location and housing prices here are lower, and the quality of living is not bad. It is a good value for money.
And many of the community members are faculty members from MIT and Harvard, so you can feel comfortable living there.
No way, although the profession of university professor in the United States has a certain social status, it is not considered a high-income group, especially when you are not well-known.
As we all know, this country really puts birds of a feather together and groups of people together to the extreme.
Middle-class and poor communities are mixed together, and knowledge and crime are often separated by only one street. Even everyone has become accustomed to these.
In any city here, even a capital like Washington or a world financial center like New York, certain areas will also have higher crime rates and social problems. Relatively speaking, Cambridge, home to Massachusetts and Harvard, is already very safe.
Especially at night, the community is very quiet, even quiet.
Middle-class communities basically don’t have the habit of traveling at night. There is no noise from cars on the streets, and there are no inexplicable carnivals by unknown people in the streets. If a family makes unscrupulous noise, there is a high probability that they will ask for a 911 visit.
In such early hours, cell phone ringtones tend to be particularly harsh.
Zhang Xinwen was awakened by the harsh ringtone. As soon as she opened her eyes, she heard the complaints of the woman next to her.
"Who is it? Are you still on the phone at this time? How many times have I told you to mute your phone and turn it on when you go to bed at night." After saying that, the woman next to him had already turned on the light, got up angrily, and hugged her He walked out of the room directly while holding the quilt.
Zhang Xinwen only felt a headache.
When people reach middle age, conflicts between husband and wife seem to increase all of a sudden, and mathematics professors are no exception.
We just had a fight before going to bed, and finally managed to coax them to sleep, but a phone call escalated the conflict again.
He shook his head helplessly, picked up the phone, and became very angry when he saw the number.
It doesn’t matter if it’s the number of a colleague from Cambridge. At least it proves that they are still staying up late.
But this is China’s number.
Don’t you know how to respect the time difference? Cambridge EDT is 12 hours slower than 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 speak, the person on the other end rushed to say: "Professor Zhang, quickly go to the mailbox, Qiao Yuzheng is out!"
A little confused, Zhang Xinwen asked subconsciously: "Qiao Yu? What did he prove?"
"No? What else could it be? Of course it's the problem we are encountering now! I won't say it anymore. I also want to inform Ronald!”
"Beep, beep..."
The busy tone on the phone receiver made Zhang Xinwen stunned for a long time.
No...
Just died?
He seemed to be planning to scold this guy for disturbing people's dreams and destroying the relationship between husband and wife. Why did he just die?
Wait...
Did Qiao Yu prove that problem?
When his brain was finally fully activated, Zhang Xinwen suddenly became excited, then he found some clothes and put them on, quickly came to his small study room and opened his laptop. Logged into the mailbox quickly.
Sure enough, there was an email from Li Lixing from Huaqing, with a small picture attached.
Zhang Xinwen clicked it in confusion, and the extremely concise proof process entered his mind.
After reading it carefully, Zhang Xinwen felt that it was a bit unreal. The problem that had troubled them for more than half a year was solved by Qiao Yu in only six lines?
After feeling deep in his heart for less than two seconds, Zhang Xinwen picked up the pen, then pulled out a stack of paper from the table and started to make deductions.
For example, the proof of the invariance of the fifth line.
The prover here ensures that the average value of the global function under the action of the transformation group is a feature layer.
This is very important because it proves that the constructed feature layer W actually captures the main characteristics of the global function instead of changing with the change of the group. The logic of the proof is that through the average effect of the transformation group, it can be guaranteed that the obtained result still belongs to the feature layer.
But Qiao Yu’s expression is: 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 an automorphism of the Whitaker layer.
This is obviously too concise.
Using the principle of categorization contraction, this sentence is easy to say but troublesome to prove. First, you 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 hard and fast. Unknowingly, the manuscript paper used for the calculation had been written on three full sides, and then he came up with the same answer as Qiao Yu's proof process.
"Yes!" Zhang Xinwen couldn't help shouting excitedly, which caused a burst of barking from dogs outside the house. He was shocked to realize that it was already early in the morning, and he was so scared that he immediately shut his mouth.
Fortunately, except for the dog barking twice, there was no movement inside or outside the house.
Zhang Xinwen was relieved, but still emotional.
It is hard for any mathematician not to be excited if something he has been thinking about for more than half a year is suddenly solved.
The excitement was followed by fear.
Fortunately, Mr. Yuan took the initiative and brought Qiao Yu into their research group...
Otherwise, what if this guy found out about their problem from another channel and then solved it easily?
In this situation, at least it can be said that their previous research was valuable, and at least it helped Qiao Yu sort out the context of this issue.
With this problem solved, he can finally start the next step of researching the subject!
The world is so beautiful.
……
Cambridge, Massachusetts, is about three thousand 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 summarized in just one sentence, they probably cannot understand why they are so far apart and what it is like to still belong to the same country.
The answer is probably not good, especially when a country does not use the same time zone.
We belong to 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 academics who need to communicate frequently. It often happens that when you receive an important meeting notice, the time gets mixed up.
Just when Zhang Xinwen felt lucky and excited, Professor Ronald from Berkeley had also completed the work of completing the missing steps.
Unlike Zhang Xinwen, Ronald completed the complete proof process while video chatting with Li Lixing.
Although it is already 1:30 in the morning in Cambridge, it is only 10:30 in Berkeley at this time.
So Ronald can express his emotions at this time more casually than Zhang Xinwen.
"You know? Li, when you said you wanted to add a child to the team, I actually wanted to refuse it directly. This would make academic research less pure! If it weren't for that Joe to find out If the geometric Langlands conjecture is proved to be flawed, really, I will definitely reject it!
< br>Now it seems that this was not the right decision. Fortunately, I was convinced by you at the time. Of course, it was not you who convinced me, but he convinced me with that perfect proof process! I really want to know how he came up with this idea! ”
Ronald said excitedly to the camera.
Obviously, this professor is not very good at concealing his thoughts when he is excited.
But it didn’t matter. When Li Lixing proposed to add a new blood to the research team, and he was only a sixteen-year-old boy, Ronald was really not interested in this proposal.
In fact, Berkeley will also accept many applications from students whose grades do not meet the standards, which makes Ronald disgusted.
The only good thing is that these students tend not to enroll in mathematics departments.
Ronald originally thought that Qiao Yu probably belonged to this kind of student.
He felt that someone hoped to use the results of their project to pave the way for the future of this sixteen-year-old Chinese boy. This kind of thing is actually very common in academia. What makes him angry is that there is no exchange of resources...
The other party seems to really think that such a sixteen-year-old child can provide help with their project.
He had raised doubts at that time.
It wasn't until Li Lixing compiled some of Qiao Yu's achievements into an email and sent it to him, and vouched for his academic credibility, that he reluctantly agreed to the matter. Allow Qiao Yu to participate in the research.
However, both parties also agreed that if Qiao Yu never made any contribution to the research group, he would have the right to refuse Qiao Yu's signature on the paper when the results were finally produced.
But now it seems that that agreement has been invalidated.
Qiao Yu has already made important contributions to the research group. Even if Qiao Yu makes no further contributions, he still has the qualification to sign the paper.
If this topic can really produce results, it will be eligible to be published in a top journal.
Based on the rigorous academic requirements of top journals, or at least the apparent rigor, the authors also need to explain each person's specific contribution to the results in the attachment.
There is no doubt that one of the most difficult theorems in this paper has been overcome. Not only does this sixteen-year-old boy, who he once didn't believe in, have the qualification to sign the final paper, but even when the project is completed, everyone will have to start. Think carefully about where you should put Qiao Yu's name.
Jumping from one worry to another.
This is based on the fact that Qiao Yu no longer pays attention to this subject. If Qiao Yu makes any important contributions in the future, Ronald even feels that the research team will start to consider the embarrassing question of whether to leave a work to Qiao Yu.
“I don’t know either, but I have told Qiao Yu that in about seven or eight hours, we will hold a team meeting, and then you can hear him tell you personally about the construction of this series Proof of inspiration."
"Okay, but why not now? You know? I'm so excited that I can't sleep! It's cruel that you let me get up so early!" >
"Ronald, you have to consider that Professor Zhang is in Cambridge, and there is still a three-hour time difference between you. If he misses this meeting, he will probably be irritable. Of course, if you need to ensure sleep, you can also set it to nine Hours later, at half past ten in the evening, I believe Qiao Yu is still awake."
" Oh, yes, damn the time difference! Do you know how envious I was when I first learned that China spans five time zones, but there is no concept of time difference internally? Really, this is like a complete country! It’s not like this. Different states can’t even unify their time!”
Li Lixing didn’t answer this sentence.
Many people will ridicule their own country, but they cannot accept the ridicule of others.
No way, human nature is such a double standard.
"Then the team 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.”
“Congratulations, Professor Li, China has a real person. He is an undoubted mathematical genius! I can’t imagine what he will accomplish when he is thirty years old.”
“What are you congratulating me for?” Li Lixing shook in the video. He shook his head and sighed: "But if you have the chance, you can congratulate Tian Yanzhen and Mr. Yuan in person."
It’s really hard to compete for students these days.
God knows how Tian Yan dug out such an incredible guy from the CMO so quickly.
If you follow the procedures, you should be screened by Huaqing and Yanbei first and enter the elite classes of both sides.
Then professors will select ready-made talents from elite classes.
"Okay, let's get here today, Professor Ronald. You should take the time to rest so that you can be energetic tomorrow morning."
"Although I am still in a state of excitement, you are right. Goodbye, Professor Li."
After hanging up the video, Ronald stretched and looked at the complete derivation process again. He was satisfied. He stood up and walked out of the study. "Hi, dear, today is such a lucky day..."
...
Huaxia, Yanbei University, Qiao Yu waited for a while, and it turned out that Professor Li There was no news after hanging up the phone, and he didn't bother to pay attention to Hua Qing's reaction.
This is just a phased achievement.
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 extended, and finally the two-dimensional generalization of Chevalet'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 starts the next phase of research.
No matter what, it is still very happy to solve a proposition. Qiao Yu planned to take half a day off for himself and go out for a walk. I picked up my phone and planned to check the time, but someone in my friend group happened to be @ him.
Clicked in and took a look. It was Yu Yongjun who showed off a pre-admission notice from Yanbei University.
For Qiao Yu, this thing is quite novel. He has never received it before. So I clicked on the picture to take a closer look.
The upper left part is the letterhead of Yanbei University Admissions Office, and the upper right corner is three rows of small characters with phone and fax numbers, and an e-mail address.
Then the middle part is the pre-admission notice in red font, and there is a special number.
The title of the text part is naturally the name.
“Classmate Yu Yongjun:
Because you 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 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 looks very formal and awesome, not fake. Qiao Yu replied directly: "No? When was the interview? How come I don't know? "
"Haha, I didn't inform you, did I? Boss, I will officially join you next semester! ”
Qiao Yu thought for a while and encouraged him: "Well, that's awesome. I've never received this thing before."
After sending this sentence, Qiao Yu planned to end the communication with his younger brother, but who knew, Two identical notices quickly popped up in the group.
No, there are still differences. The number on the pre-admission notice is different from the handwritten name.
Qiao Yu was silent for a long time, good guys, out of the six official IMO players this year, four of them chose Yanbei?
I don’t know if 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?
Does he want to show it off in front of him just because he said he didn't receive it?
After thinking about it, Qiao Yu quit the group chat, then found the chat record with Professor Zhou, and put the documents in it that were sent when applying for a passport, including the invitation letter to the World Congress on Algebraic Geometry and the ones just sent today. Photos of his passport and visa page were forwarded to his friend group.
“Well, I really don’t have this pre-admission notice, but I did receive an invitation letter for the World Congress of Algebraic Geometry in France next month, so I’m going to attend the conference in Paris next month. Thirty minute report.”
"Although it's just a satellite meeting of the World Congress of Mathematicians, I think it can be regarded as a kind of exercise, right? The only pity is that it is not a number theory meeting. As you know, I am actually more interested in number theory.
"Hey, in short, don't come to play with me between the 17th and the 24th of next month, because I am not in the capital and have gone to France. Oh, by the way, Director Tian said, Professor Peter Schulz from Germany also asked me to meet at the conference. You want to discuss the Langlands conjecture with me. ”
Qiao Yu quickly entered three messages in succession.
No one bothered me in the middle.
After the last message was sent, no one waited for thirty seconds. Respond.
This made Qiao Yu feel a little unhappy, so he said: "@Everyone is not, please say something. For example, is there anything you need me to bring back from France? Or do you have any foreign mathematics idols who want me to get an autograph for you? What?
You have no feedback at all. I don’t even know if you have seen my reply. This makes me feel very embarrassed, especially you @dayu.”
Yes, although @everyone, but Qiao. Yu still didn't forget to @Yu Yongjun one last time.
After all, he said so much in the group chat and no one responded, which was really embarrassing.
"Boss, that guy Gong Jiatao pulled me into another group he created. Two people are complaining about you there. They say you are not a human being!"
It turned out that Qiao Yu really didn't believe that the two of them could hold back their sadness.
"Oh, why don't you send us a screenshot of their chat?"
"Wait a minute, boss, I'll take a screenshot right now."
Gong Jiatao The first one came 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 posted to the friend group.
After reading it once, Qiao Yu felt happy and quickly replied: "Tsk tsk tsk, it's so sour! But @ Chan Zhi Zhi Xue, this is not like your style? You haven't even tried hard yet, You already want to surrender? How can you let it go? Last time you said you wouldn’t get married if I couldn’t catch up with my grades... You can’t really plan not to marry for the rest of your life, so don’t give up!”
Yu Wei: “Yes, you win, I have decided not to marry for the rest of my life!”
Qiao Yu: "Don't say it so early. What if you meet a girl you like in the future?"
Yu Wei: "I only said that I won't get married, but I didn't say that I can't fall in love. When you like it, let's talk, and if you don't like it, break up. That's it!"
Qiao Yu: "Scumbag! You don't understand that at all. This short-lived and empty joy is nothing compared to the moment of solving a mathematical problem! Real men pursue the joy of controlling the truth rather than letting hormones control the brain to pursue those superficial joys! ”
Yu Wei: “If you I take back what I said above. When I become an adult, I can guarantee that I will invest in a project that you are responsible for, as long as it is within 40 million yuan.” He directly withdrew his statement and then asked: "Forty million yuan? Can you make the decision?"
Yu Wei: "My father will give me this money when I become an adult, and it will be completely at my discretion. He There will be no interference.”
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 off.
One posted three question marks in a row, and the other posted three exclamation points directly.
But obviously these two guys with no lower limit were ignored by Qiao Yu and Yu Wei.
Qiao Yu: "Well... although this is not polite, I still want to ask you, does your dad usually keep his word?"
Yu Wei: "My eldest brother gave me the 30 million when he became an adult, and my second brother gave me the 36 million when he became an adult. Now I am the only one left."
Qiao Yu: "Your dad is really fair. Ah, doesn’t this even take inflation into account?”
Yu Wei: “Yes.”
Qiao Yu had a lot of emotions, and he could only say that there is a difference between father and father in the world. It's also too big.
He was about to ask Yu Wei why he suddenly changed his mind so drastically, but the atmosphere that he had managed to create in the group was directly ruined.
Yu Yongjun: "@ Chan Zhi Zhi Xue, brother, let me ask you something, does our dad still need a son?"
Yu Wei: "..."
Gong Jiatao: "@dayu people can't At least you shouldn’t! I can’t accept it if you just recognize me as a foster father. Speak up! @ChanZuzixue, Brother Fu, let’s get to know each other again. Do you need a sworn brother?”
Seeing the two shameless guys being so flattering, Qiao Yu didn’t bother to chat in the group. Directly clicked on Yu Wei's private chat interface.
“Weren’t you unwilling to bet me a hundred dollars before? Forty million? Are you serious?”
"I don't bet with you because it's meaningless to lose money to you. Sponsoring your research project, I am the noble person who brings the funds into the group. These are two completely different things. Even if you are the project leader, when you see me You should also call me boss! At least the results of your project cannot be achieved without my help!”
Qiao Yu was deeply impressed by Yu Wei’s words, and he said with sincerity: "I finally understand why capitalists have such a bad reputation! If the descendants of rich people have the same old-fashioned logic as you, how can ordinary people like me make money? Listen to my advice, don't let yourself be so tired, and start serious from today Spending money is what you should do!”
Yu Wei: “Get out!”
He still ended the conversation with “get out”.
Qiao Yu really wanted to tell Yu Wei not to think that having a few bad money can show off in front of future great mathematicians. But after thinking about my bank card balance, I gave up.
After all, people cannot be compared.
While he was still thinking about how he had received several essay bonuses from the school in the past two years, the cash he received for his coming-of-age ceremony turned out to be in the tens of millions.
Of course, it is just a small goal of 0.4. If it is on the Internet, it is simply not worth mentioning. You might even be ridiculed as a poor guy.
But Qiao Yu thinks this is definitely not small money, because he has really made money himself.
If he earns according to the method he used to provide emotional value to his elder brother in the Internet cafe, even if an elder brother is willing to contribute 20,000 yuan on average, and the studio has to share 10,000 yuan, he can only get 10,000 yuan. This means that he has to serve four thousand brothers to earn so much.
Based on the average studio that can send him three orders per month, which means a monthly income of 30,000, it will take him about 1,333 months to earn 40 million, which means he will need to work for about 111 years.
But in fact it is not possible to save so much.
After all, it is not a very simple thing for a person to live for more than a century. Food, clothing, housing, transportation, and diseases cost money for everything.
Originally, Qiao Yu planned to go out for a walk, but after chatting with Yu Wei, he suddenly felt that he could not slack off.
For a family that can easily give out a total of over 100 million as a coming-of-age ceremony to its three sons after they reach adulthood, their assets should probably start in the billions.
The rich second generation is working so hard and still has to study for the Mathematical Olympiad and participate in IMO. He, a child from a poor family, really has no right to slack off.
After all, money will not disappear out of thin air if it is not used. Even if it is just thrown into the bank and depreciated, it is still money and its value is still there.
But talent has no value if it is not used.
To paraphrase a good old man, Yu Wei is just a second-generation rich man. At most, he can only brag in front of him until he reaches adulthood. He wants to be a man of the rich generation!
So Qiao Yu picked up the "Principles of Algebraic Geometry" that was left on the desk and had not been read for a long time after borrowing it from the library.
Starting this week, I will continue to share my reading experience with Director Tian and Mr. Yuan.
In addition, he cannot just ignore Lao Li’s projects. He must also continue to work on the projects assigned to him by Director Tian. At least give Director Tian a decent random prime number model before going to participate in IMO.
Thinking of this, Qiao Yu suddenly felt dizzy.
Just now I thought I could relax a little bit recently, but when I think about it, his recent tasks are actually still very heavy!
But there is no way, this is his responsibility.
What can someone do if he is born in Rome? Only through hard work can we ride on the head of Rome and show off our power in the future.
(End of this chapter)