At least one thing Tian Yanzhen said was right. Regardless of everyone's attitude towards his results, Qiao Yu, a sixteen-year-old child, became the star of this seminar. Even in the lecture the next morning, there was a professor
His absence is deeply regretted, as is Professor Everton.
Those thoughts.
When he attended Professor Felice's lecture in the afternoon, he was surrounded in a physical sense. Many people wanted to discuss with him what he had expressed yesterday. Before the lecture, Professor Felice even
Invited him to stand on the podium and took a photo with him. This caused Professor Everton’s dissatisfaction until he also stood up to speak.
After taking a photo with Qiao Yu on the stage, the lecture officially started.
Qiao Yu also listened more seriously.
In fact, it’s okay if he’s not serious. The professor’s eyes on the stage fall on him from time to time. Well, this is what Director Tian specially emphasized, the so-called most basic respect.
It is actually very simple to offend a mathematician. The most embarrassing way is probably to say to his face that the theorem he proved is meaningless. The second most embarrassing way is to dismiss his lecture. But in fact, the latter means the same thing as the former.
We are both mathematics researchers, and if we think that the other's work is meaningful, we will not fail to take the other's lectures seriously.
Even though Qiao Yu is not yet a mathematician and does not understand the unspoken rules in the mathematics circle, he understands the inexplicable competitiveness of men. Xi
Although these are all great professors from well-known universities and research institutes, I didn’t meet Professor Everton just now because he didn’t take a group photo with him on the first day of his lecture. The result must be
So if he listened carefully to Professor Everton's lecture on the first day, he gained a lot, but today he didn't listen carefully to Professor Felice's lecture, and he unknowingly offended others.
Are you going to take a group photo before letting Professor Felice's lecture officially begin?
Qiao Yu didn't mind offending people.
But considering that Professor Phyllis showed goodwill to him before the lecture began, and he is the kind of big boss who may become an ally of the world's academic community in the future, it is not a bad thing to offend him, and his words are deeply rooted in the hearts of the people. Friends always want to
The more the better.
Come on. This is the simplest calculation problem. It does not require complicated mathematical knowledge. If you can do it after learning addition and subtraction in the first grade of elementary school, then he has already won.
The same is true in the world of mathematics. Based on what Qiao Yu knew about the experiences of Director Tian and Grandpa Shi, when the person opposite raised his head and looked around, he realized that he could not find a friend in the whole world. And Qiao Yu found that young age is really the most perfect.
Amulets are really easy to attract the liking of these uncles.
As soon as the lecture here ended, he was surrounded, and some people even asked him for WhatsApp and email accounts. He had never heard of the former software, and he signed up for a QQ email account, which is a free version.
It was obviously the first time Professor Everton encountered this kind of ten-digit mailbox, and he proofread it several times.
As a result, Yuan Zhengxin taught Qiao Yu a lesson and asked him to go back to Tian Yanzhen to ask for a serious work email address, and also grabbed the professors who asked Qiao Yu for the email address. You can
So Qiao Yu gave the most sufficient reason - to rush back to write a thesis, so he hurriedly "escaped" from Huaqing University back to the Mathematical Research Center of Yanbei University.
He can't really be blown away by sugar-coated bullets. His most important task now is to give the complete proof. Then disseminate it as quickly as possible and be accepted by the mainstream mathematics community.
Although he already has an idea, it still takes time to ensure the rigor of the proof process. But it won’t take much time. Qiao Yu stayed up until two in the morning last night. Now go back and have something to eat. He should be able to finish it all in the evening.
, and then send it to the instructor and Mr. Nang.
Communicate again when you leave.
I got up at 7 o'clock in the morning and finished the most difficult part before coming to attend the lecture.
What he has to do next is to see how his two mentors arrange it.
"In a classical geometric background, the Ambidexterity theorem relies on some kind of equivalence between local and global geometric objects. For example, local homological algebraic objects
However, after research, it was found that a type of singular points with conjugate ridge structures will produce abnormal behavior through high-order categories in the context of nonlinear geometry. This article temporarily names this type of singular points as Qiao points and represents them with P.
It can be globalized through the axioms of higher-order category theory.
Assume that the category C we use is a certain deformation category, in which the object is a module with specific geometric behavior. For the algebraic variety X, the objects in the category C can be expressed as a set of p-adic layers F.
Near the Joe point, the behavior of the local module M is affected by the ridge structure, causing its performance in higher-order category theory to no longer be a conventional object, but needs to be described by adding some complex deformation parameters: Floc=Defjoe
(M).
as follows:
Most of the professors have already arrived, and there is such an article on the table.
Here Def is the functor of the deformation category, which describes how the module M1 at the singular point P1 affects other singular points in the entire geometric space through deformation. The specific proof process
At half past nine in the evening, when Pan Jingyuan was invited to Qiuzhai's small conference room by a phone call from Yuan Zhengxin, he was already more than one person in the conference room. This invitation was not a standard paper, but the proof process was simple.
Clearly.
Pan Jingyuan could tell at a glance that this was probably written by that sixteen-year-old child, and it fit the stereotype he had formed of Qiao Yu.
From yesterday's counterexample that might invalidate their proof process to the public, today they gave a complete proof process, and even attended an academic lecture in the middle. If you are older, your efficiency may not be so high.
However, Pan Jingyuan's mentality was completely relaxed at this time.
People are like this. When you have a premonition that something bad is about to happen, the waiting process is actually the most painful. After the result is obtained, even if it is not a good result, the mentality can often be adjusted quickly.
Just like what his mentor Professor Dennis said, since a problem has been picked out, it is nothing more than thinking about how to solve it. It is very difficult, but it will never be more difficult than starting from scratch.
Anyway, even if those five papers are finally published, his next work will continue to think and study the problem of local geometry Langlands. Now he just has to prolong the process.
The proof process given by Qiao Yu is actually not long, and it only lasts for three pages including some cited documents.
Silently reading the proof process reminded him of the time when he first entered this field under the leadership of Dennis many years ago. At that time, he knew almost nothing about geometric representation theory, and most of the
I learned the basic knowledge under Dennis's guidance.
In a blink of an eye, it has been more than six years, almost seven years...
After sighing in his heart, Pan Jingyuan raised his head and looked around the conference room. He didn't find any loopholes. Among the professors who had previously thought Qiao Yu's idea was a bit whimsical, some were still frowning in thought, while others had already started whispering to the people around them.
.
Pan Jingyuan thought for a moment, then simply stood up, walked up to Yuan Zhengxin under the gaze of several people, and asked, "Mr. Yuan, I would like to send a copy of the proof process to Professor Dennis."
In fact, there is no need to ask, even if he sends it, it doesn't matter.
I ask specifically because there are Qiao points in it, which belong to a type of singular points discovered by Qiao Yu. Although it is not a great achievement on a mathematical level, it can be regarded as a new result.
Even out of the most basic courtesy, he still had to ask "Of course." Yuan Zhengxin smiled and nodded.
The minutes of the meeting include original videos, and professors from world-renowned universities participated. There is no possibility that Qiao Yu’s ideas will be plagiarized by anyone.
"Thank you." Pan Jingyuan nodded in greeting, then returned to his seat, took out his mobile phone and opened the commonly used scanning software, entered Qiao Yu's certification process into his mobile phone, and then sent it directly to Dennis's mailbox.
After doing this, Pan Jingyuan began to think about what he would say during the discussion.
As one of the seven members of the team that researched the geometric Langlands conjecture, Pan Jingyuan knew that everyone would be looking forward to him sharing his thoughts later. Even if he didn't want to speak, he couldn't avoid it, so he might as well be more generous.
He couldn't help it. After looking at it carefully, he couldn't find anything wrong with it... On the other side of the ocean, at the University of Berkeley.
Professor Univers Frank is receiving Professor Sam, one of the founders of the research team, in his office.
Apart from the slight discomfort caused by knowing something before, Frank was actually in a good mood during this period.
If nothing else goes wrong, their paper will be published soon. During this period, the promotion of several major partners and the holding of a series of lectures have greatly shortened the review process.
Most of the main reviewers have given agreed review opinions. It is basically impossible to conduct a double-blind review of this kind of results.
As early as thirteen years ago, Professor Dennis, one of the main leaders of the team, had published a paper: "Singular Support of the Coacervate and the Geometrized Langlands Conjecture." The world's mathematical community knows what they are studying.
There are only a few experts who can review papers of this level based on their qualifications and abilities, so there is no way to hide them.
Five years ago, Dennis proposed a series of ideas, such as "white noise".
In the field of classic signal processing, sound waves can be constructed from sine waves, whose frequency corresponds to the pitch in the sound. Anyone who has studied Fourier transform will know that this information can be used to write the sound into a combination of sine waves:
That is, just start with a sine wave with amplitude 1, then multiply the sine wave by the appropriate loudness factor, and then add these sine waves together. The sum of all different sine waves with amplitude 1 is "white noise".
According to the geometric Langlands program, the characteristic layer functions like a sine wave. Dennis identified something named the Poincare layer, which functions like "white noise". However, Dennis does not know whether he can combine each
The feature layers are all represented in the Poincare layer.
He and Sam also joined the team at this time.
They worked together to prove that each feature layer could contribute to "white noise" in some way, and sent the results to Dennis. After gaining approval, they joined Dennis' team and became an important other pole of the team.
Three years later, when it finally came time to bear fruit, Frank was naturally in a happy mood.
He has his own goals and plans, and every step now is making steady progress towards his desired goal.
His next topic has also been selected, which is the connection between a type of number theory problem and Riemann surface objects. It can basically be understood as the application of the geometric Langlands conjecture. This time he will form his own team, with him as the main leader
Overcome this problem.
In fact, research on this proposition has already begun. This is the guarantee for him to win the Fields Medal.
Although Frank has received the Ostrowski Award and the Clay Research Award, these awards are still not convincing enough. As an ambitious person, Frank has many ideas.
The Chinese mathematics community is in a period of drought.
The older generation of mathematicians are almost 70 or 80 years old. Most of the younger generation have taught abroad. Currently, no one of the newly growing generation of mathematicians has any hope of winning the Fields Medal.
At present, he seems to be the most promising one.
The world structure is now very clear. Although China and the United States have their own problems, looking at the world, they have become the two most competitive forces. With awards and honors around them, and many Chinese mathematicians
With the support of everyone, he can even hold up the banner of the Chinese mathematics community in the future.
To be honest, he thinks everything is good here, but being an academician is actually not interesting. If China can develop better in the future, he really doesn't mind returning to China like Mr. Yuan and building a new one named after him.
Mathematics Research Center and became one of the leaders in Chinese mathematics.
China still admires capable scholars, especially those with awards and abilities.
As long as he can reach this point before the age of fifty, he will be able to achieve fame and fortune in this life. The most populous modern country in the world will have his name in the history books, and this life will be considered worthwhile.
By then...
In short, just thinking about it can make people feel better...
"Sam, Professor Rolla sent me an email. He said that the internal consistency of our theory is very good, making it difficult for people to believe that we are wrong." Frank said with a smile.
This is the last reviewer to speak out, which also means that the academic community has almost no objections to their certification process. Now it is up to the journal editorial department to follow the process.
It is only a matter of time before I receive a reply that is confirmed for publication, but I don’t know how long it will take for typesetting. However, Fran believes that such a significant result is worthy of a special issue.
Even "Acta Mathematica", one of the four top mathematics journals in the world.
Five papers must be published in the special issue at the same time to be worthy of the value of this research topic that spans more than 30 years.
"I also received the news. I have to say that we got a good result. I plan to take a rest for a while, what about you?" Sam Lars nodded and replied. He was also invited to the Berkeley campus this time, with Frank gave a joint lecture together.
They conveyed some of their thoughts and mathematical ideas on proving this problem, and answered some questions.
This type of academic exchange is necessary. In an open academic world, important results can be transformed into mathematical tools and they need to be widely disseminated.
Frank immediately said sincerely: "Of course I still want to invite you to join my research group. I really like what you said yesterday: We need to transfer these ideas to a different place where we never thought of using them. environment! This is exactly what I hope to do next.
There is no equivalent to the idea of ​​conformal field theory in number theory and function domain settings, but conformal field theory allows us to build special feature layers in geometric settings. So Sam, join me and let's make it happen What a great thing it is to penetrate all the barriers between disciplines!"
Sam Lars smiled and was declining Frank's invitation when his cell phone suddenly rang.
Shrugging at Frank, Sam Lars took out his cell phone and looked at it. Sam Lars, who was planning to stand up and go to a quiet place to answer the phone, gave up the idea and said to Frank, "Dennis's phone number."
Then he clicked directly on the answer button.
"Hi, Dennis, how are you doing?....Oh? Not so good? Let me guess....No, that's impossible, you have to be kidding, right?...." Frank Watching the expression on Sam's face change from the original relaxed and carefree to one that gradually became serious, my heart couldn't help but feel suspended in my chest.
When a professor directly says on the phone that he is not doing well recently, it can also affect the mood of his collaborators. That is probably not good news.
Sam Lars seemed to realize that Frank next to him should also know the content of the two people's chat, and simply interrupted the other person: "Wait, Dennis, Frank is next to me, I will turn on the speakerphone, I think he also
You should know this."
After saying that, Sam Lars moved the phone away from his ear, clicked on the speakerphone, and Dennis's voice began to echo in the office.
"...Okay, that's what happened. To put it simply, I just received some information from Pan, from China. This information constructed a counterexample, which directly led to the partial failure of the Ambidexterity theorem.
I just looked at this counterexample and couldn't find any flaws. So I think it's necessary to inform you that we may have to withdraw some papers first. Especially the proof of the fourth Ambidexterity theorem.
In short, the publication of the paper may be delayed, at least until this problem is solved. God, this is really a weird miracle. Of course, I am not unable to accept that the paper may have loopholes, really...
I just can't accept that this vulnerability was discovered by a sixteen-year-old kid, and he is still in China. Oh, damn... Frank, you should know that I don't have any objections to China, or to China.
Mathematics development is biased.
Pan is my student, he is also from China, and I am very satisfied with him. I say this simply because there are not many people in China studying this issue, so this child mainly relies on self-study, but what if he is a student of Schulz?
?
This is really shocking. After sixteen years of hard work, a self-taught child can easily see the loopholes in the proof process. I believe you can experience my feeling at this time, as if this problem was originally very simple.
It's because I'm too incompetent, that's why I find it so difficult.
Dennis was still chattering. Nagging is a way to vent emotions, and this method is very civilized. At least he didn't say bad words.
But Dennis obviously didn't notice that his negative emotions were spreading to the outside world along with his chattering. The two collaborators listened to his chattering, which meant that these negative emotions doubled during the transfer process.
Happiness can be transmitted, but doubling it is difficult, but doubling this negative emotion is easy. At this time, Sam Lars and Frank looked at each other.
A second ago, the two of them were talking about the news that the paper had been praised by all the reviewers, and discussing how to continue working on a new topic after it was officially released. Then suddenly the main collaborator told them that the paper had been found to have flaws?
He is still a sixteen-year-old boy? He is self-taught? It is really hard to accept that so many BUFFs are added together.
Of course, for Frank, there are even more intolerable points.
So he couldn't bear it anymore and directly interrupted Dennis's seemingly endless chatter: "I'm sorry, Professor Dennis, I want to interrupt you. I want to know if the sixteen-year-old boy you are talking about is the one you asked me to review before.
The author of a paper?"
"Yes, Frank, that's him, that Chinese Joe. There is no doubt that he is a genius! Because you simply can't imagine why a sixteen-year-old child was still studying the problem of the upper bound of the rational point of the curve.
But a month later, he suddenly came to his reviewer and said, Hi, Dennis, have you finished reviewing my paper? Oh, there is no final opinion yet? But it doesn’t matter, I have finished reviewing your paper and found
A big problem!
Oh, this is such a bad experience. You know? I suspect he is retaliating against me for not taking the time to review his paper carefully. Maybe I should review his paper efficiently, so maybe he will let me go!
But do you know what I’m going to do? I’m going to call Lot Dugan later and tell him, damn, that paper passed! Don’t ever let me review this kid’s paper in the future!
I decided to surrender!"
Obviously, Dennis was in a much better mood by the end of the rant, and he was even in the mood to laugh at himself. It was just that all the accumulated negative emotions had been piled up on the other side of the phone.
"Okay, I have sent the counterexample of the Qiao organization in China to your mailbox. I also want to inform the rest of the team. By the way, it is eight o'clock tonight. Of course, I am referring to the time of the West Fifth District. After all, it is
Just Pan time, if you're in California...
Damn it, when will we be able to use the same time zone as China? Forget it, remember to open your email first and take a look at the counterexamples that Qiao found. I hope everyone can give some constructive suggestions in the evening meeting!"
After saying that, Dennis hung up the phone directly.
Sam stayed for a moment, then looked up at Frank who was obviously distracted, sighed in his heart, and then said: "Okay, Frank, I know what this subject means to you. But any emotion is useless at this time.
I think what we need to do now is borrow your printer and study that damn counterexample that Dennis sent us. See if there is really no vulnerability, what do you think?"
Frank came back to his senses and said, "Yes, just wait a moment."
As he said that, he immediately went to his computer and logged into his mailbox. Sure enough, the first unread email was sent by Dennis ten minutes ago. Download the attachment, and then Frank printed two copies directly without binding.
Each person took one portion and sat there to study it. At this time, the two of them still had a sense of luck. What if Pan Jingyuan and Dennis made a mistake?
He is just a sixteen-year-old boy. Do the counterexamples he cited really have universal significance? Can the process of proof be flawless?
If they can figure out the problem, then maybe nothing will happen. Of course, this may require starting a debate in the academic community, but it is better than a large-scale revision of the paper.
You must know that it is a huge project!
Although they have found more than one path in this direction, if there is a counterexample, whether it is to revise the paper or try another way, it will take time, and it will still take a lot of time.
Time is the most precious thing for everyone, especially for Frank.
Thirty-four years old. Although there are still six years left before the age of forty, the World Congress of Mathematicians has only been held twice during this period. He is only a major participant in the research of this proposition, not a leader. If most of the next time is wasted on this In terms of propositions, his achievements are absolutely unconvincing.
The most regrettable thing is that the proposition he chooses next is closely related to the current proposition. This means that he cannot even skip the proof of the geometric Langlands conjecture and start his own proposition research.
In other words, if what Qiao Yu gave was irrefutable, it would definitely be a sad story for Frank. So Frank took it very seriously, even more seriously than when he read Qiao Yu's paper.
He did not miss every detail of the proof process, but even so, he finally gave up after an hour.
Although this is not a paper, there is no doubt that this guy's proof process was completely based on the paper that needs to be published. The wording is as rigorous as the paper, and he cannot even find a flaw in the wording.
In other words, it is impossible to argue with.
Frank raised his head and looked at Sam opposite, who was also looking at him.
After a long silence, Sam first asked: "How did you come up with the idea of ​​inducing non-trivial effects at the homology level? Is it really like Dennis said that this Joe is specifically looking for loopholes in the paper? Just because the paper given to him was not given as soon as possible. Audit? Look, he also created a high-dimensional singularity for this!"
Frank didn't say anything, feeling something was strange.
He couldn't even be sure whether Qiao Yu knew of his existence now. Everything was too coincidental. First, a paper by Qiao Yu was delivered to him, and then the kid found out that he was the main contributor to the paper. Loopholes that produce results.
If everything was a coincidence, it would be too much of a coincidence.
"Well, the most important theorem is indeed partially invalid. This situation is something we did not consider. What do you think?" After a moment, Sam asked. Frank shook his head and said, "I don't know, I feel My mind is a little confused."
Sam nodded in understanding, then stood up and said, "Okay, maybe we should quiet down and think about it carefully. Frank, you don't have to be too depressed, this is indeed a problem, and what we have to do now is to solve this problem.
I think the problem of distortion when high-order derived functors are globalized can be solved. This is a repairable problem. In theory, it is enough to allow the exported object at P1 to correctly map P2. If everything goes well, maybe we will That will solve this problem."
Well, when he said this, Sam Lars was actually not too confident. But what else could he say?
As one of the most important contributors to the subject, his mood is not much better at this time. Damn it...
What the hell is this! ..
Watching Sam Lars leave the office, Frank sat at his desk and thought for a moment, opened his mailbox again, and then edited an email to Pan Jingyuan, mainly asking about Qiao Yu.
This is a very normal reaction.
After reading Qiao Yu's paper before, I just didn't ask anything about it. Now, the paper in which he is one of the main authors has been found faulty by young geniuses in China. If he didn't even ask a question, it would appear to be problematic.
However, it was a bit difficult to write this letter, and I was constantly deleting it.
The main reason is that while getting to know Qiao Yu, he also hopes to find out whether Qiao Yu knows his existence without leaving any trace. It's like this when there is something on his mind, and he is always afraid that others will taste something different from the wording.
Just like that, it took Frank a full hour to edit a letter of only a few hundred words, and then clicked send.
It was probably late at night in China at this time. After editing the email, Frank felt extremely confused. What the hell is going on? Just when Frank felt confused, Qiao Yu's name was already being studied throughout the Langlands Program spread throughout the circle.
This is all thanks to Dennis.
The Harvard professor not only called the collaborators on the project, but also called the reviewers of the paper and the famous experts who had evaluated the paper to inform them of the matter.
I also won’t forget to send Qiao Yu’s counterexamples to these academic leaders via email.
The former once praised that this latest achievement is the culmination of thirty years of hard work, while the latter believes that this proof is very beautiful and the best of its kind. By the way, there is also the current mathematical research at Cray that has just been evaluated recently. Professor Phil Rolla.
Dennis even felt that it would have been better if Laura had made this comment two days later, so that both of them would be less embarrassed.
After all, they had just praised the internal consistency of their theory so well that it was hard to believe that it was wrong. But then they turned around and it was proven that the most important theorem proving process had loopholes, and both sides were disgraced.
Especially when the person opposite was still a sixteen-year-old boy, this age was enough to put a man who had been famous for many years to shame. After Dennis made a series of calls, he soon received a call back from Schulz.
Dennis could hear that this recognized genius in the Western mathematics community was even a little excited in his tone.
"Ha, Dennis, I've finished reading the counterexample Joe gave, and I have to say, it's so exciting. Well, if I say this, you shouldn't be too frustrated, right?" "Of course, I have accepted this fact. .”
"Then why not invite him to attend the Algebraic Geometry Conference next month? I think I should send him an invitation letter and he can give a thirty-minute lecture. I believe many people will be interested in his ideas."
"It's up to you to make a suggestion to the organizing committee, Professor Schultz."
"Of course, in fact, I have already suggested it. Professor Gray of the organizing committee said that he would seriously consider my proposal before I called you because I am also very interested in his idea. But I think I should take care of you.
I don’t know if you can accept this idea... You understand, after all, we are friends."
These words left Dennis speechless...
So this is how geniuses take care of their friends’ ideas, do it first and then talk about it?
"There is nothing unacceptable, Schulz. As I said just now, this is the fact. I just want to solve this problem quickly."
"That's right! So I think you need to communicate with him. People who ask questions are often better at solving problems. But you also know that he doesn't have any impressive results yet. You are also one of the reviewers of that paper. As soon as possible
If it passes his review, his paper will be published in the May issue of Ann.Math."
"Ahem..."
"Actually, I just called Lot Dugan. And the paper has been approved." "Smart idea. Okay, I'll hang up then."
"Wait a minute, Schulz, do you think there will be an era of genius explosion next?"
There was no reply for a long time, and a voice came after a while: "I hope so, but who knows? Goodbye."
Listening to the busy signal on the phone, Dennis didn't feel too uncomfortable. He even felt that Schultz was taking care of his face.
At the age of sixteen, he was able to publish a paper in Ann.Math and was invited to attend the World Congress of Algebraic Geometry and give a thirty-minute report. This conference was not something that cats and dogs could attend. After all, it was one of the satellite conferences of the World Congress of Mathematicians.
Those who can get invitations and be invited to give reports at conferences are mostly truly top mathematicians, researchers and scholars. After all, algebraic geometry is the most cutting-edge and one of the most popular mathematical research directions.
It seems psychologically easier to accept the problems in the paper being picked out by such children.
The world of mathematics welcomes geniuses, especially those who engage in theory, and they need geniuses even more! Hua Xia, Yanbei University, International Mathematics Research Center.
Qiao Yu lay quietly on the bed, not yet asleep.
He was very sure that there was no problem with his proof process.
Qiao Yu is very confident in this point, and it is just a very brief proof process.
From Qiao Yu's point of view, it is difficult to find inspiration for mathematical problems, but once the inspiration comes, it is actually very simple to prove it.
And he used widely used tools, which means that if anyone says that his proof process is unreasonable, a large number of mathematics papers may have to be removed from the journals.
Naturally, he doesn't know that his proof process and ideas have been recognized by many big names around the world.
It has even reached the hands of that man, and he tried very hard to find the unreasonableness in it but failed. But Qiao Yu knew one thing very well. After his proof spread, it would definitely give someone a little bit of Qiao.
Shocked.
So at this time, Qiao Yu was actually very calm inside. He couldn't sleep not because he was excited, but mainly because he was still thinking about how to make up for this loophole. That is, how to solve the local-global consistency problem of the geometric Langlands conjecture at Qiao point. applicability.
If the range is expanded, complex singular points can even be used instead of Joe points.
There should be two choices on the other side, either to redo the derivation of this part of the paper, or to directly patch it.
After thinking about it from his perspective, Qiao Yu felt that it would be much simpler to choose the latter, such as adding a homology layer to a new category... However, after this question only turned around in Qiao Yu's mind, he started to think of a new one. The key question.
In this game of peak intelligence duel, he temporarily won one game, but it seemed that he was still far away from realizing his dream. Yes, it was the dream of buying a community and renovating it after making a lot of money.
After two months of training at Yanbei University, he is no longer the young man who was inexperienced in the world and completely ignorant of the rules of social operation.
After his observation, there is a high probability that mathematicians with a certain status will not be short of money. For example, neither Tian Yanzhen nor his grandfather Yuan Zhengxin is short of money.
But it is not necessarily true that both of them are rich.
At the very least, it is absolutely impossible for the assets to afford to acquire a community and then rebuild it.
The two big guys didn't seem to be that interested in money. Relatively speaking, they valued their status in academia more. This made Qiao Yu feel a little worried.
From the books they prepared for him and the daily teachings they gave him, it could be seen that the two bosses wanted him to develop in the field of pure mathematics in the future. Originally, this was not a big problem for Qiao Yu.
But after staying at Yanbei University for so long, reading some books, attending some classes, and communicating more with school professors on weekdays, he discovered the most serious problem, not to mention whether he could solve the mystery of prime numbers. Even if this series of difficult problems are really researched, how to realize them is still a problem.
If something is accidentally leaked, it will make all mankind lose confidence in the modern financial system. It is very difficult to make money from this thing. And it may lead to big mistakes.
Of course, this does not mean that Qiao Yu is short of money.
In fact, he has discovered that just because of his current status, he will never be short of money in this life. After all, he can now live a relatively wealthy life. The only thing he is afraid of now is such a chaotic past in his life. Already..
He was afraid that when he grew older, he would start to be like Senior Brother Chen, no longer thinking about changing anything, but would settle for being a world-famous mathematician, thinking only about being a powerful figure in the academic circle every day, and would never be able to become a formal official. Son Ba is in the mind of a billionaire.
He couldn't put his grandfather's statue at the entrance of a mathematics center - it was not justified.
Yes, when many math giants around the world began to pay attention to Qiao Yu, a rising star in mathematics, the issues he was thinking about while lying in bed had transitioned from pure mathematics to the level of not forgetting his original intention.
The difference is that Qiao Yu's appetite has become bigger now, and the petty fights in the past can no longer satisfy him. After all, he really has a worry-free life now and can make Qiao Xi live a good life.
Grandpa Shi has already hinted that he will directly go to Huaqing to inherit his mathematics research center after graduation. He does not even need to consider the issue of settling in the capital, because the elderly can almost expressly use the policy of introducing special talents, housing, and children.
There is no need to worry about future education.
Qiao Yu felt that this was an attempt by the old man to shake his mind. After all, he would be able to live near Huaqing in the future, and with his almost endless meal card, after being blown up by a cannonball composed of sugar coating and sugar hearts, he was afraid that he would never be able to live in the future.
I have no motivation to strive to become rich.
Chapter completed!