Chapter 110 Qiao Yu in the future-Qiao Xi’s upper limit theory!
The school year has started, and the campus of Yanbei University has begun to become lively, and even the Mathematics Research Center has become more lively.
Director Tian did not lie to him. For example, some of the elective courses in the School of Mathematics are directly related to research. Moreover, the research center also offers an intensive basic mathematics course for senior undergraduate students in the School of Mathematics.
Of course, if Qiao Yu wants to go to these courses, she can attend them at any time. Of course, it's not just these courses. Whether it's Yanbei University or Huaqing University, as long as it's mathematics courses, he can take them as long as he wants to take them.
There is no need to go through the trouble of registering online to take classes. Anyway, he doesn’t need those credits and grade points for the time being.
Tian Yanzhen's request for him in the past six months is still that he only needs to finish reading those books.
Qiao Yu also used practical actions to make Tian Yanzhen feel that he did not need to worry too much about his closed disciple.
On Sunday night, Qiao Yu will carefully prepare a reading experience and send it to his tutor early on Monday morning. Of course, Qiao Yu would not forget to send a copy to his grandpa on Monday morning. Then get two comments.
It can be seen from the annotations of reading experience that his two mathematics tutors have done in-depth research on these basic mathematics books. Many details that he didn't notice will be reminded in the comments.
In order to thank Chen Zhuoyang for his help during this period, Qiao Yu specially invited Brother Chen to have a big meal in Huaqing's cafeteria.
Not only did the small building where he lived finally have hot water, it even allowed him to secretly take a shower on the second floor at night when no one was around. What's more, the cost of mailing the various college entrance examination teaching aids collected by Senior Brother Chen for him cost Qiao Yu more than 300 yuan, including many review papers for senior high school subjects in the best high schools in Beijing.
Their scarcity can be explained by the fact that most of the teachers who wrote these papers have the experience of being selected into the national college entrance examination question group many times.
After the big meal, Senior Brother Chen became even more attentive to Qiao Yu.
Because he accidentally noticed that the balance in Qiao Yu's Huaqing Card was a little too scary.
Let's put it this way, if someone steals Qiao Yu's card, the amount of money in it will require a starting sentence of more than ten years. Chen Zhuoyang did some casual calculations and concluded that even if Qiao Yu ate in the Huaqing cafeteria for thirty years from now on, he might not be able to finish the remaining balance in his card.
Money is not everything, but it can really measure a degree of favor.
The favor from grandpa Shi is so terrifying that Chen Zhuowen can no longer envy him. He only feels that the gap between people is too big and there is no comparison at all.
He really believed now that if Qiao Yu took his paper and asked Mr. Yuan for help in revising it, Mr. Yuan might really do it himself.
Really, Chen Zhuoyang also wants to find a chance to call Mr. Yuan Grandpa.
Unfortunately, there is really no chance. Of course, if given the chance, Chen Zhuoyang felt that he might not be able to shout out.
The difference between Qiao Yu's youthful face and his half-bald appearance is really huge. When Qiao Yu calls him Grandpa, he can make people feel the beautiful relationship between grandfather and grandson. When he calls Grandpa, he may be able to hold back from vomiting, but there is no guarantee of what others will think of him.
The talent is not comparable, and there is no age advantage...
In terms of mathematics, it is easy to prove that he should just hold his junior brother's thigh firmly. A PhD student in mathematics who doesn’t want to engage in scientific research is willing to lower his head just to graduate.
On the other side, although school has started and Lao Xue has become busy, he still takes time to check on Qiao Yu every day.
Sometimes I just come to take a look, and sometimes I come to give Qiao Yu some advice, such as helping him plan some courses that he needs to take.
After all, I am in Yanbei and it would be a waste of resources to not attend classes at all.
Qiao Yu did listen to the advice, but there were fewer courses in the School of Mathematics, but more elective courses in the School of Physics next door. Mainly focused on the two courses of quantum mechanics and mathematical physics methods.
It’s not that he wants to develop in the direction of physics, at least for the time being, Qiao Yu has no such plans, but Qiao Yu feels that appropriately broadening his knowledge will be beneficial to him.
In particular, some concepts in physics can slightly restrict his unlimited divergent thinking. After all, physics does not have the same degree of freedom as mathematics.
It is well known that infinite divergence is a headache even in mathematical analysis, because it means that the result is probably undefinable. For example, a divergent series cannot produce a finite sum, which directly causes the mathematical model to lose its practical significance.
In addition to these daily lessons, in the two weeks since school started, Director Tian helped him answer his questions twice, and the master teacher opposite called him three times.
One of the times on the same day, Director Tian was trying to answer his questions in the morning. During lunch, Senior Brother Chen suddenly brought a birthday cake over, and Lao Xue also came over to give him a birthday gift.
Having a premonition, Qiao Yu was called over by Grandpa Shi in the afternoon, and sure enough, he had another birthday.
Yes, February 3, the first year after coming to the capital, was Qiao Yu’s sixteenth birthday on the Gregorian calendar. He had two birthdays in a row from noon to evening. I spent the afternoon at Yanbei University and the evening at Huaqing University.
When he returned to Yanbei University in the evening and called Qiao Xi to criticize his mother for not calling him on his birthday, Qiao Xi woke him up with a few words: "You Excuse me? Have you ever celebrated a lunar birthday at home? You had already celebrated it once before going to Beijing for your birthday this year, and I even ordered a cake for you!”
Yes, his birthday on the lunar calendar is on the 29th of the twelfth lunar month. Because when he was a child, his birthdays were all arranged by his grandfather, and his grandfather only recognized the lunar calendar...
So Qiao Yu had three birthdays in the year when he was sixteen.
The other time I was asked by Grandpa Shi to go to Qingbei to send Professor Zhang Shuwen, who had met him once, back to the United States.
It was also at this time that Qiao Yu learned that Professor Zhang was actually a professor and doctoral supervisor at Princeton University. I only have the title of visiting professor in Huaqing. I come to Huaqing about once or twice a year to complete some agreed lectures and do some academic exchange activities at my grandfather's mathematics research center.
In addition, Grandpa Shi also introduced Professor Guo to him. Professor Guo Zhenggong is also a student of his grandfather. He currently serves as the director of the School of Mathematics at Huahai University. He is Qiao Yu's senior uncle.
In fact, Qiao Yu had already checked the reasons and process of the conflict between his teacher and his grandfather on the Internet.
The details on the Internet are not very detailed, but the process is still there. For Qiao Yu, the biggest gain is probably that he discovered that his grandfather, who was usually kind to him, was actually quite fierce when he was young. The kind with a particularly hot temper.
However, regarding the things mentioned on the Internet, Qiao Yu felt that it was just a battle of spirits, so he also showed great respect for his uncle.
As Xue Song said, the grudges of the previous generation are not his fault.
Of course, if anyone on both sides sees him uncomfortable, then I'm sorry. Qiao Yu thinks that if he loses his temper, he can actually be quite fierce. Well, he must be as fierce as Grandpa Shi when he was young. Learn from it. Learn the whole set.
Fortunately, both Professor Zhang and Professor Guo were quite friendly to him, but at present, Professor Guo mostly did it for Mr. Yuan's sake, and that kind of friendly politeness was often accompanied by a touch of alienation and disdain. Qiao Yu could feel it, but didn't care.
People are not RMB, and it is impossible to like everyone. It was said in the ethics and rule of law class that the key point is to grasp the main contradiction. The attitude of a teacher is irrelevant. On the other hand, Professor Zhang, who was quite strict with him that day, although still quite strict, told him a lot of things, all of which were useful.
The words were full of protection. Before leaving, he also suggested to Qiao Yu that if he was willing, he could go to the Institute for Advanced Study in Princeton for one or two years as an exchange doctor in a few years. Get in touch with some of the more advanced mathematical ideas from abroad and broaden your horizons.
Qiao Yu naturally agreed very well, but he felt that it might have been necessary before, but now that he has two major literature databases, Yanbei and Huaqing, there is really no need to go out and communicate face-to-face with foreign bigwigs.
In fact, Qiao Yu has always felt that paper communication is more efficient, because high-end papers really don't have so much nonsense, and all the proof processes are clear at a glance. Enough for him to understand the mathematical ideas of the author of the paper.
In short, Qiao Yu felt that his life at Yanbei University was quite comfortable.
Most of the time every day is reading books and papers, and occasionally going out to take a few classes.
And this kind of peaceful life has many rewards.
In terms of learning, Qiao Yu’s progress in just two weeks can be said to be amazing. Yes, it really has to be described as amazing. After all, being able to make both academicians feel satisfied, happy and a little surprised at the same time is enough to show how strong Qiao Yu's learning ability is.
Even the two bosses supported him to take more classes at the School of Physics.
In addition, Qiao Yu discovered through observation that Teacher Lan really did not lie to him. Whether it was Yanbei or Huaqing, there were really few girls in the School of Mathematics and the School of Physics and Astronomy.
Even if there is, it doesn’t seem to have grown up in Qiao Yu’s aesthetics.
If you have nothing to do, go to the nearby Weiming Lake for a stroll. You can always see a lot of eye-catching seniors.
It seems that there is a reason why Teacher Lan, Lao Xue, Senior Brother Chen, etc., many math people around me are still single at a very young age.
I have never had contact with many female classmates. When they were young, they all had to focus on those boring numbers. It is strange to have a girlfriend.
The only thing that bothered Qiao Yu was probably scientific research. His research on the proposition he proposed before seemed to have reached a dead end. What he thought he could show off in front of his mentor and grandpa now seems like a piece of worthless meat, which makes him feel tasteless and a pity to throw away.
But overall, life is quite peaceful and fulfilling.
This peaceful and fulfilling life is suddenly disrupted by a group of friends.
Because Qiao Yu has been too lazy to talk in the friend group for a long time, this group of three people has gradually become deserted, and no one has bubbled up for a long time.
After all, everyone is actually quite busy.
But on Tuesday of the third week of February, that guy Yu Yongjun suddenly started going crazy in the group @Qiao Yu again.
"@元试 Linfeng Damn it, Damn it, Damn it, the first phase of special training this year is really at Yanbei University! Boss, you are invincible!"
"Please, please , Boss, please come out and let me admire your heroic appearance.”
"Don't abandon me, boss, you forgot that I also helped you carry a gun back then, and I also helped you fight against that idiot Yu Wei. Really, come out and say whatever you want, without your Instructions, I can hardly breathe!”
……
I have to admit that the little fat guy was really fast with his hands. Within a few minutes, he sent dozens of messages in the group, half of which were @ 青宇.
The direct effect is that the phone vibrates twice after a while.
Unable to be disturbed, Qiao Yu finally picked up his phone, quickly scrolled through Yu Yongjun’s crazy words, and then sent an angry expression to the group.
"Boss, you are finally out!"
"I'm busy! I have to study! I have to do research!" Qiao Yu sent a serious expression wearing sunglasses.
"No, boss, you can't just focus on studying and forget that you still have a life! And us! You are immersed in the ocean of knowledge every day and arm your mind with culture. After a long time, in addition to that little knowledge, you also have What’s left!”
We haven’t seen each other for several months, and this fat man is still the same as before...shameless and irritable.
But don’t say it yet, don’t say it yet, it really works...
Qiao Yu Mingming felt that these days were very fulfilling, and when the fat man said these words, he suddenly felt that there was a trace of life. Silk is empty.
Yes!
During this period of time, I was so busy studying that I forgot that life still needs some simpler and pure happiness. Especially when he was constantly being hit by scientific research projects, he actually forgot that he could also hit other people's top academics!
Yes, now he spends most of his time studying by himself, and even the joy of hitting his classmates has been temporarily deprived of him.
The most annoying thing is that when you look around you, there are no enemies for the time being, they are all friends.
His senior brothers all love him very much when they meet him. As for his peers...well, it seems that there are never many peers around him. So the unpleasant feeling came up all of a sudden, and the next moment Qiao Yu also increased his hand speed very quickly.
“Don’t worry, I am studying a very important mathematical problem. Do you know Schulz’s theory of quasi-complete spaces and the estimation of upper bounds of rational points on curves? Oh, you definitely don’t understand, but it doesn’t matter. . You just need to know that combining the two is my recent research topic.
By the time everyone goes to participate in IMO, I will probably be able to conquer this topic. By then you will know that I have not only gained knowledge, but also the admiration of the mathematical community and the rewards from teachers.
By the way, I may also gain tons of envy, jealousy and hatred... Hey, thinking about it this way, I am actually a little jealous of you two. You live a more fulfilled life than I do, and you don’t have to experience the loneliness of being at a high place, but maybe this is the fate of a genius. "
Yu Yongjun: "! ! ! "
The cicada didn't know the snow: "? ? ? ”
Yes, Yu Yongjun sent almost hundreds of messages in the group, but failed to blow up Yu Wei. Qiao Yu blew up Yu Wei directly with just one message.
It can be seen that this guy has been peeking at the screen, even if he refuses to say anything, he is still as arrogant as usual.
Qiao Yu suddenly felt a little sorry for Yu Wei, because he suddenly thought of Senior Brother Chen. In the field of mathematics, if you are not talented enough, it seems that the longer you persist, the greater the blow you will suffer.
"Huh? Yu Wei, you are here again. I thought you had given up on mathematics. Although discussing IQ is a serious topic, have you ever thought about the possibility that even CMOs cannot get full marks in the exam? Maybe it’s not suitable for studying mathematics? (serious face)”
Before Yu Wei could reply, Yu Yongjun jumped out first: “Brother, your attack is a bit broad. The loyal little brother was also hit. "
Qiao Yu immediately replied: "It's okay. You can learn calculations and mathematics in the future. I will help you find out. This thing is very simple. He knows this stuff well. But Yu Wei is different. He definitely wants to get into algebraic geometry. If you don’t believe it, you can ask him, but his IQ may not be enough to study this.
Oh, by the way, Yu Wei, don’t think too much. I’m not saying you are stupid. In fact, you are quite smart, as smart as my senior brother with a Ph.D. But in this field, intelligence is not enough. The requirements for IQ are higher than intelligence. For example, your IQ is 160, which is far above normal people, but this field requires an IQ of 200, do you understand? ”
After posting this, in order to prove his sincerity, Qiao Yu sent a serious expression to the group.
What do you mean, he is from the friend group after all. Brother, Qiao Yu really can't stand by and watch a rich second-generation brother choose to jump into the fire pit of mathematics instead of thinking about going home and inheriting billions of dollars in wealth.
But then again, these days he has heard his seniors talk about the lives of many awesome mathematicians, most of whom are really rich second generations, who have mines at home and are not short of money.
After all, they are basic. If you get stuck in the research of mathematics and theoretical mathematics, you may live a lifetime of mediocrity...especially in foreign countries, such as Western University at the Earth Science and Technology Center
A little trivia: Unless you are a particularly well-known scholar at Western University, the salary of professors teaching at Western University is not very high. The median annual income of professors is only more than 80,000 US dollars, and this is pre-tax income. .
For personal deductions, after paying taxes in the state of residence, as well as various social security and medical insurance, there is probably only more than 50,000 US dollars left, which works out to an income of less than 5,000 US dollars per month. It's quite poor.
As for associate professors and assistant professors, their salaries are even lower.
Not being famous means that you will not be often invited to give lectures outside, and it is even more difficult to get projects...
Although many technology companies in the West know the importance of mathematical theoretical research, others When investing, it is natural to give priority to well-known theoretical mathematicians, such as Edward Witten, Peter Schulz, Mary Carter, etc...
If ordinary young mathematicians want to get projects, most of them can only go into the application field. Only by thinking of an idea and packaging it can make investors' eyes light up.
This is the reality. An unknown little professor came to Google and said that if he was given one million dollars, he could develop the final solution to N-body motion. He probably couldn't even pass the security guard.
Without material foundation and love alone, it is difficult to go far in this industry.
So in theory, Yu Wei's family conditions are really suitable for mathematics, but Qiao Yu feels it is a pity. After all, his low IQ is a flaw...
But obviously Yu Wei I didn’t appreciate it and only sent two short words in the group: "Haha..."
From these two words, we can see that the emotion is only anger, not gratitude.
Qiao Yu also began to continue to persuade: "I understand your obsession with mathematics, but why don't you change your approach? For example, you can take the college entrance examination honestly, and then go to Guanghua College of Yanbei University, and then Go home and inherit billions of dollars in wealth and run a family business.
When you can manage money, you can invest in my future research projects. Then I will give you a name when I produce results, and we will all do our best. suitable Not only will things be fruitful, but you will also be fully engaged."
Cicada Zhixue: "That's enough, Qiao Yu! I admit that you are better than me for the time being, but I will definitely catch up with you. Of! Whether it’s an exam or Thesis! I put the words here!”
The momentum was so strong that Qiao Yu weakly asked in the group: “Oh, then you can say this in the group. What should I do if I can’t?”
Yu Wei didn't reply for a long time, and the group became quiet.
Probably because he felt that Yu Wei's anger level was full today, the little fat man rarely continued to be angry in the group. Instead, after Qiao Yu asked that question in the group, he started chatting privately with Qiao Yu. stand up.
"Boss, don't hit Yu Wei too hard! I feel that his small universe is about to explode. In this way, I just happened to have accumulated several difficult problems recently. I will let him calm down later. You first Help me with these questions How to solve it. Hey, I asked the teacher but he couldn’t tell me how to solve the problem. I understand the rules, one question is fifty, you can keep the transfer.”
The little fat man sent a document directly to Qiao Yu. , and conveniently transferred three hundred yuan directly.
Looking at the red transfer interface, Qiao Yu sighed in his heart. Sure enough, geniuses are lonely, and friends can't understand him!
He directly clicked on the return transfer under the transfer, and then said: "Don't you understand? Don't send money directly like this in the future. It's not easy for you to save some pocket money."
"Damn, thank you boss! Yanbei University is really awesome. The situation has changed since my eldest brother left!”
“Well, don’t thank me in a hurry. Have you ever heard of the word “numerous ordinary numbers”? A scientist’s whole life’s efforts just saved a math genius an afternoon of tea.”
“Boss, there is a pattern!”
“Yes, so I don’t know how. I charge you money, but I won’t help you solve the problem. Do you think fifty yuan per problem can reflect the value of countless ordinary mathematicians’ lifelong efforts?”
After saying that, Qiao Yu closed the dialog box with Yu Yongjun and switched to the friend group. When he found that Yu Wei had not replied, he took the initiative to @ him and said: "How about this, if you really can't catch up with me in the future, reply How about joining my project after inheriting the family property? Hurry up, I still need to study my project!" This time Yu Wei quickly replied: "No! If I can’t catch you, I will never marry you for the rest of my life!”
Seeing Yu Wei’s words and thinking of this guy’s usually cold temperament, Qiao Yu suddenly felt that this was a bit of a joke. It was so big that he didn't even bother to remind the other party. The ambiguity in this sentence made people who didn't know the truth think of N deviant one-sided love stories!
He even thought of Yu Wei's father in his mind, who rushed towards him with a kitchen knife after seeing these words...
After all, the two boss-level mentors mainly provide The magic defense power of academia is not immune to physical attacks!
It can be seen that this guy is really confused!
"Don't make trouble, the bet is so big, what should you do if your father is anxious? Your family's billions of wealth has no heirs, so don't fight me!"
"You let go of a hundred "Xin, I have two brothers, I am the only one who can inherit the family property!"
Oh, it turns out there are two brothers, no wonder you dare to be so willful.
But Qiao Yu suddenly thought of Lan Jie's words, the rich generation is much more interesting than the rich second generation, so that's what it meant.
After all, the first generation can spend their money however they want, but the second generation is different. The first generation has to give it first before they can spend it. If you have two older brothers, it is even more complicated.
Qiao Yu was still sighing in his heart, and was about to reject Yu Wei decisively. After all, he didn't like men, but Yu Yongjun suddenly jumped out again.
“Brother, remember to tell me and my elder brother when you need to fight for family property in the future. We will definitely stand firmly on your side... Also, Lao Yu, although you do have a few They are beautiful, but before chasing the boss, you have to ask first Ask the boss about his orientation. What if the boss is normal? Well, I took a screenshot..."
Okay, seeing this sentence, Qiao Yu knew that the two of them were going to quarrel again. Because he couldn't help but beat up that fat man!
So I quit WeChat decisively and set my phone to do not disturb mode.
In more than a week, these two guys will go to Yanbei University for training. Then he will naturally be able to see what Yu Wei will look like, but what gives him a headache now is the one he found for himself. subject.
He has read and digested all Schulz’s five papers on the theory of quasi-complete space. During this time, he has also supplemented a lot of basic knowledge, and he has basically understood his whimsical propositions. Completed the proof.
According to his original idea, suppose X is a high-dimensional algebraic curve defined on the number field K, and X is a closed subset in p-adic complete algebraic space. Then there is a constant C that depends on the geometric properties of the curve X, such that the number of rational points on the curve satisfies: N(X)≤C.
This constant C does exist, and Qiao Yu even felt that his proof process was perfect.
And he has also found the formula for this constant C.
In other words, the night he came to Yanbei University, his fantastic proposition was really proved by him.
If it hadn’t been for Professor Zhang, he might have started writing a paper with great interest and announced his findings to the mathematics community!
But he hasn't started writing yet, because the formula for constant C looks like this:
After finally solving C1, C2, and C3, the specific expression looks like this:
Three constants A1, A2, and A3 are introduced, representing constants related to the modular form, -adic homology and quantized homology categories respectively. α and β respectively represent the exponents related to these geometric constraints. Of course, the genus g is still the main factor in determining the upper bound.
It doesn't work, it doesn't work at all.
Qiao Yu tried to get involved in Professor Robert's work, hoping to use his formulas to solve some application problems, and soon discovered that determining the modular form level k, choosing the prime number P, and quantum Determining the homology parameter C is too complicated.
The constants A1, A2, A3 in the formula, as well as the constants α and β related to determining the geometric structure depend on the specific geometric background and curve type. Only when Qiao Yu actually calculated it by hand did he realize how troublesome it was.
During this time, he has been thinking about how to simplify the formula to make it easier to use, and the result is still valid. He has thought of many ways, but he has hit a wall everywhere.
He can already roughly understand the feeling that Senior Brother Chen feels when faced with scientific research. Every time he thinks of a way to potentially solve the problem, he rushes to the computer with great interest, When he starts to solve it, reality will give him a stick.
Every time I try, the final result is that there is no way.
He also asked Lao Xue specifically, and Lao Xue suggested to him that he should not place his hopes on finding a general formula, but instead directly simplify it for specific situations and reduce complexity in specific problems.
This can also have a certain application space in practice, and it can be considered completely worthless.
For example, make a simplified version of the formula specifically for a certain type of simple elliptic curve.
Of course this is a method, and Qiao Yu can even use this method to write papers on numerical bias, such as one on elliptic curves, one on parabolas, one on hyperbola... It must be serious. A little bit, you can also create algebraic variety projection curves, high genus hyperelliptic curves...
But Qiao Yu felt that this was meaningless. After all, his original intention was to create a general formula and publish it directly in the four top journals. In the future, it would be directly named a paper of Qiao Yu's upper limit theorem by the world's mathematical community!
Qiao Yu felt that if he could not reach this level, he would not be able to bring glory to the teachers and grandpa Shi.
And with his current status, if he chooses the water thesis, not only will it be meaningless to him, but it may also attract a lot of criticism, which will make Director Tian lose his face. It is better to study quietly.
After all, he didn't plan to work in any university, and he needed to get a thesis evaluation title or something.
I just said in the group that the results can be produced before the IMO competition, which can be regarded as giving myself a limited time...
Of course, neither Tian Yanzhen nor Yuan Zhengxin knew what Qiao Ze was thinking, otherwise they would probably scold him. It would be best to scold him to wake him up, so as not to waste time thinking about messy things every day!
After all, the idea of naming a theorem after yourself at the age of fifteen is somewhat naive. Although if Qiao Yu really solves this problem, it is indeed possible.
But how can a concise universal upper bound accurate estimation formula be so simple?
Professor Robert Green has been studying this direction for many years, just looking for a more accurate result among various special curves.
But Qiao Yu’s idea was obviously different.
Euler was able to graduate with a master's degree at the age of sixteen and proposed a philosophical system comparing Descartes and Newton. Gauss independently discovered the method of finding the roots of cubic equations at the age of fifteen. Why couldn't Qiao Yu propose an upper bound at the age of sixteen? reason?
So naturally, Qiao Yu took up this topic directly, but now he is really frustrated! The kind of frustration that hit two good friends and couldn't compensate for it...
...
At the same time, in a key middle school in Shuangqing, a little fat man was crying and holding a mobile phone. He raised his head and said to the teacher next to him: "Teacher Qu , This guy Qiao Yu suddenly doesn’t care about martial arts! He agreed to pay fifty yuan for a question, but now he refuses to pay attention to me.”
The teacher sighed and said, “Hey, if you don’t understand, don’t do it. Why are you so anxious? Let me study it for two days.”
...
In a study room with its own computer and network at Linhai International Middle School, Yu Wei withdrew from the group chat with a pale face. He was indeed furious. When he was reminded by that damn fat man and realized the ambiguity of that sentence, he could no longer withdraw it...
But after three deep breaths, he calmed down. Then I picked up my phone and sent a WeChat message to the teacher.
"Teacher Chen, please help me find some more papers on the problem of upper bound estimation of rational number points on curves and Peter Schulz's papers."
The other party quickly replied: " What do you want these papers for?”
"I want to see how difficult this thing is."
"Professor Schultz's current main work is to solve the Langlands conjecture problem. To be honest, if you read his paper now, it is meaningless except a waste of time. . ”
“It’s okay, Teacher Chen, I just want to get a general idea. It won’t waste too much time.”
“Okay, I’ll send it to your email in an hour.”
Yu Wei put down his phone with a serious expression.
I was so unconvinced that I felt uneasy and even lost my mood to answer the questions.
During this period, he has been studying various Olympiad questions with high intensity, and was ready to avenge his shame during the first period of special training, but who would have thought that Qiao Yu, who went to Yanbei University, had already started to do it The subject was studied.
And this guy seems to be serious about doing scientific research.
Because the first special training was actually held at Yanbei University.
He really didn’t want that guy Qiao Yu to continue to bluster in front of him, but Yu Wei knew very well that if he wanted to surpass Qiao Yu, he had to at least determine the gap between the two.
Fortunately, he didn't have to wait long before there was movement in the mailbox on his mobile phone.
Yu Wei did not log in with his mobile phone, but directly logged in to his email on the computer, and Coach Chen downloaded three papers for him.
Two articles are about the derivation of upper bounds for rational points on curves. The other article is "PerfectoidSpaces:Asurvey" by Peter Schulz. It was also specifically stated in the email that this is Peter Schulz. The easiest paper to understand.
Yu Wei took the lead in downloading Schulz’s paper.
After all, Teacher Chen said that it was a waste of time for him to read Schulz's paper now, and he was still a little unconvinced.
However, after opening it and reading it, the young man became silent, and even his inner dissatisfaction was much lessened.
Yu Wei feels that he has a certain foundation in algebraic geometry. He has also heard the name of Peter Schulz. He believes that he may not be able to understand this paper, but at least he can understand it. said something.
But after reading the review, he knew that his understanding of these cutting-edge mathematical research seemed to be a little biased.
This is not something that can be understood with just a little knowledge of advanced college mathematics.
We are obviously the same age, but is the gap really that big?
He didn't want to believe it was true, but it seemed like every time Qiao Yu sounded like he was bragging, he found out in the end that it was true. And it happened not just once, but three or four times... to the point where he no longer dared to trust his own judgment.
Thinking of this, Yu Wei suddenly felt a little uneasy. Unknowingly, his hands were clenched into fists...
No way, people are always like this, there is no pain. When I was beaten, I had no idea how painful it was...
...
In Star City, Qiao Xi was sitting at the table where Qiao Yu once used to write, calmly doing papers.
The sunshine in Star City in winter is just right. Although it doesn't bring much warmth when it shines through the window, it feels very comfortable.
But what makes Qiao Xi feel most comfortable is that looking at familiar yet unfamiliar textbooks and doing these familiar yet unfamiliar exercises seems to bring her back to the age when she had infinite longing for the future.
Going to college in the capital...
"Ring..." The sudden reminder of the ringtone of the mobile phone woke Qiao Xi out of her trance...
Being distracted again, After looking at the math paper in front of her that she had already finished half of, Qiao Xi lazily turned her head and glanced at her phone. It was another call from the brat at home.
I swiped it casually and selected hands-free.
"Hey, what are you doing?"
"Mom, what are you doing?"
"Doing the math paper you sent back."
"Oh, is it difficult?"
"It seems a little different from what we learned at that time, but it's okay. It's a bit difficult to do, but it doesn't feel particularly difficult."
"Well, that's normal. The teaching materials are changing. Feel free to ask me any questions you don’t know. This is how you can enjoy this treatment.”
“Stop talking nonsense and call me to get to the bottom of it.” What? "
"Hey, Mom, I seem to be in trouble. There is a damn mathematical problem that I don't know how to solve. Are you right, Master Shi? I had high hopes. Who would have thought that I would be stuck at the beginning?"
"Huh? It's a difficult proposition."
"I don't think it's very difficult. In fact, I have already solved this proposition, but the result is very complicated, with a bunch of parameters. Now I want to simplify the result and throw the complicated things into the proof process, but I have tried all the methods. , still can’t solve it.”
“Then why don’t you ask the instructor? I can’t help you.”
“I asked the teacher. Xue, but the advice given by Lao Xue is to let me avoid the most complicated process. That would be meaningless."
"Oh, is it possible that your result is a false proposition?"< br>
“It’s impossible! I have an intuition. You know the intuition, right? There must be a way to simplify this result and form a theorem, but I just don’t know how to start.”
"So you're here to ask for comfort? Hurry up and say, please mom, comfort me."
Qiao Xi put down the pen in her hand, stretched out her white hand, put the phone in front of her, then propped her chin with one hand, ready to listen How can I complain to my brat?
It was a novel experience. Qiao Yu rarely showed such a helpless attitude in front of her.
The only pity is that she seems to be of little help.
"Don't make trouble, Mom, I'm annoyed..."
"Oh, okay, then tell me first, why does your result have a bunch of parameters?"
"Because this problem is controlled by multiple geometric constraints, each geometric tool will have a different set after use. constraints, and these tools must be used to condense the results into a formula.”
"Oh..." Qiao Xi began to think deeply, and then asked: "Are all tools indispensable?"
"Yes, I have tried to reduce restrictions or improve the tools , but it’s useless.”
“So are there no commonalities in the constraints of these tools?”
"Commonality?"
"Yes, since every tool must be used, and each tool has different restrictions, if you want to simplify, you have to find the commonality between these conditions, or in other words There are similarities."
"Huh? Mom, you seem to make sense."
"So you can try it. Let’s study whether there are any potential connections between the different parameters. If so, maybe we can unify the multiple parameters? Isn’t the math problem about finding possible logical connections between different conditions?”
Qiao Xi said casually and irresponsibly, she felt that Qiao Yu should understand this better than her...
But the person on the other side didn't say anything for a while...
"Hey, why don't you speak?" Qiao Xi was a little surprised.
"Mom, did you give in to that man back then so he could get the first place in the exam?"
"Huh?"
"I've been thinking about it lately. To optimize those tools and control the parameters, why didn’t I think of unifying these parameters since I can’t control them? Thank you, Mom, I feel like I have found the direction!”
"Isn't it? Are you serious?"
"Of course! God, I have always been jealous of those mathematicians who can create tools at will. What I am doing now is also creating tools, but how could I forget when I got into trouble? In this situation, if there are no ready-made tools, it can be solved by creating tools. ? !
Thank you, Mom! By the way, if I really solve this problem because of your tips, this theorem will be called Qiao Yu-Qiao Xi’s upper bound theorem! The second author!"
After saying that, the other party hung up the phone before Qiao Xi could speak.
Qiao Xi shook her head inexplicably...
What's wrong with this brat? Why does she want a second author? ! And the Qiao Yu-Qiao Xi upper bound theorem? What is it!
Thanks to book friend 20201028183615004 for the reward and encouragement
PS: The 25th day of the 10,000-word update has been completed!
(End of this chapter)