He was fully prepared, and just when Qiao Yu was about to start reading the paper, he suddenly picked up the phone he had put aside.

Being dependent on each other is never just talk. For such a big thing, Qiao Yu felt it was necessary to inform Qiao Xi, and then the two of them stood on a united front. So Qiao Yu opened WeChat and directly sent a video.

This matter was more important. The problem could no longer be solved by just calling and listening to the voice. He also had to always pay attention to the changes in Qiao Xi's expression and explore his mother's true inner thoughts.

Soon the video was connected, and Qiao Yu saw Qiao Xi's gentle face, and a photo hanging above the bed in his room, a photo of his grandfather when he was young. Qiao Yu strongly requested that it be hung there.

When Qiao Yu was a child, he always felt that his grandfather could ward off evil spirits, and this is still the case. According to Chinese tradition, it is probably the protection of ancestors. This picture made Qiao Yu very satisfied.

Of course it wasn't because Qiao Xi didn't touch the photo on the bedside, but because Qiao Xi was in his room instead of in the living room, it meant that her mother was really studying hard and preparing for the college entrance examination three years later.

This matter is very important to Qiao Yu, even more important than fighting with that man.

People can't get back time and youth, but they can start from every day in the future to make up for the regrets left in youth, but the premise is that they need to work hard and take action. This is a more positive attitude towards life, just like Qiao Xi is doing things to do.

"Mom, I guess you miss me again."

"Well, if you mean before I memorized this Book of Commandments, then yes."

"Actually, there is no need to rush to review things like Chinese language. Depending on your memory, you can just memorize it casually in the last half year."

"But it will be tiring to study the questions. You sent back so many mathematics and science comprehensive papers, and I do them every day and I don't feel that they are getting less. So when I am tired of studying the questions, I can relax my brain by reading the Chinese language book, which is quite good. .”

"That's right. Well, that man's name is Feng Yu, right?" Qiao Yu suddenly said, looking intently at Qiao Xi on the screen.

Very good, the woman still looked lazy, she just raised one hand to support her chin, and when she spoke, her tone was a little surprised: "Huh? You really found that man?" Qiao Yu was quite satisfied with this reaction.

There are not many unexpected emotions, and there are no obvious mood swings.

It shows that Qiao Xi really doesn't take this man seriously. There is no doubt that this is Qiao Yu's ideal state, but it may also be an act. Qiao Yu understands Qiao Xi just like Qiao Xi understands him.

So Qiao Yu continued: "By the way, he married into a good family after he went there. His father-in-law is a physical scientist, and his father-in-law is even more amazing. He is a Fields Medal winner, you know? Follow me. He is on the same level as his master, one of the most amazing mathematicians alive in the world."

Qiao Xi shook her head slightly, looking envious and said, "Tsk, tsk, tsk, then he must be living a pretty good life now, right?"

Qiao Yu nodded seriously and replied: "That's for sure. He has joined the research team of the world's most cutting-edge mathematics project, and maybe he will be nominated for the Fields Medal next year and become a world-famous mathematician. So. After thinking very carefully and carefully, I decided to make it more difficult for him to have a smooth life.

Qiao Xi changed her hand to support her chin and said, "Although this sounds like a good idea, will it cause you any trouble?"

Qiao Yu smiled, looking like a cunning fox: "What trouble can he bring to me? He has a Fields Medal over there, and we have one here too! How much my grandpa loves me, you don't even dare to I don't think so. Not to mention that I still have a mentor to protect me.

Qiao Xi smiled gently and replied: "So it's even more meaningless, Qiao Yu. If you feel hateful, then lose first. What qualifications does he have to make you hate him? He doesn't deserve it. Of course, if you really feel I can't help but think of it as a game, I suggest you treat this matter as a game. Anyway, it's just idle time.

Just like I am working hard to prepare for the college entrance examination. Haven't you noticed that our lives have been misaligned? You go crazy when you need to study. I immerse myself in studying when I need to work. This is a very novel experience, mixed with Too many messy things will be very troublesome."

Qiao Yu was silent, tilting his head and staring at Qiao Xi on the screen without saying a word. His mind was working rapidly to analyze this woman's true thoughts.

Qiao Xi sighed, put down her hands, straightened up, and looked at the camera more seriously with a faint smile: "Stop thinking about it, I actually want to see that man be unlucky. After all, if he is unlucky, I can also gain something." hapiness

But hate is also a kind of emotion, Qiao Yu! Does he deserve it? He doesn't deserve it! I hope you can make him miserable in an upright manner, instead of relying on your messy little tricks. You know the scene I want to see the most? What kind?"

Qiao Yu showed an interested expression and asked, "How is it?"

Qiao Xi replied: "It's the scene you described to me before. You can reach the height he desires by just doing something. When he takes the initiative to find you, I will stand up and protect you. He and his family all rolled aside and stayed away from my son!

By the way, when the time comes, you must return the money you gave him back with interest. In the days to come, every time you do something great or produce a great result, he will deeply regret it. .Your achievements are so great that he can't even block out news about you.

Now just thinking about these, I feel very happy. Qiao Yu, make happiness simple, your life should be happy, mathematics makes you happy, then stand at the top of the mathematical mountain and look down, Where is he? Can't see him

Haha... If you can reach that level, I'll be very happy just thinking about it! Believe me, this is the biggest punishment for people like him. He sees you standing at the top, but he can't take advantage of it. , I can’t sleep every day.”

Qiao Yu thought for a while and said, "Although what you said makes sense, I will only listen to part of it. I will give up those small tricks, but I will use upright methods to make his life more difficult."

Qiao Xi looked at Qiao Yu in a daze and suddenly asked: "Then what? Can you climb to the top, Qiao Yu? Like I said, standing on the highest mountain, others can only look up to you. When you lower your head , can’t see any face clearly.”

Qiao Yu nodded firmly: "Of course, I will let him see grandpa's statue with his own eyes, let him see the community that belongs to our Qiao family, and then let him get out! To do this, the first thing is The only thing is to stand on the top of the mountain!"

Qiao Xi said calmly: "Please don't just talk. Your grandpa said that whatever a man says, he must do it."

Qiao Yu waved his fist at the camera with high spirits: "Just wait and see, I have decided to listen to you and treat this as a game. You have to have confidence in me. I am a thief when I play games!"

Qiao Xi smiled, with the corners of her mouth raised slightly, like a blooming lotus...

"Okay, Qiao Yu, I'm waiting to see the moment you stand on the top of the mountain." After turning off the video, Qiao Yu took a deep breath.

It felt like there was a fire burning in my heart. Sure enough, the Qiao family are all evildoers.

Qiao Yu remembered that when his grandfather was still alive, he would give him chicken blood. Qiao Xi was always lazy at that time. Who would have thought that Qiao Xi would also wake up to the blood of chicken blood now.

Standing on the top of the mountain, he couldn't see any face below, including that man's. Just thinking about Qiao Yu would make him tremble with excitement. Qiao Yu looked at his computer, which contained a bunch of downloaded papers.

Subconsciously, she reached out to the mouse, hesitated for a moment, and then decisively deleted most of the papers. Since Qiao Xi wanted to watch a peak matchup game, she should put aside all the previous issues.

The news he got from Professor Pan was that all nine people in the team valued this result. Especially for professors in their thirties, the proof of the geometric Langlands conjecture would be a stepping stone for them to win the Fields Medal. .

So what Qiao Yu has to do now is to fully understand and analyze the entire conjecture proof process, and then conduct a targeted study to see if there are loopholes in the proof process that the man is responsible for.

There is no doubt that this is a huge workload and a very challenging job for Qiao Yu - serving as a public reviewer.

After all, Langlands conjecture is an area that he has not yet explored. Moreover, it is a very broad and abstract proposition. If it must be explained, the purpose of this conjecture is to build bridges between different branches of mathematics and then unify them. .

Specifically, the geometric Langlands conjecture unifies algebraic geometry and representation theory, and can even be said to be the intersection between mathematics and physics.

The conjecture is that there is a one-to-one correspondence between the ridges on the algebraic curve and the representation of the Lie group. Specifically, it shows that a certain geometric object on the algebraic curve can correspond to a certain algebraic structure.

Specifically, for each ridge defined on an algebraic curve, there is a corresponding Lie group representation, so that this correspondence can be verified in the context of algebraic geometry and representation theory.

This means that representations of Lie groups can be understood by studying geometric objects on algebraic curves, and vice versa.

Fortunately, for Qiao Yu, he has studied algebraic curves, and he has also done some research on Lie groups, although not in depth. The better news is that the research team spent five papers to elaborate on such a huge proposition.

If the five articles are sorted according to a certain logic, the man's work is mainly concentrated on the fourth and fifth articles, while the work of Huaqing Professor Pan and his mentor Dennis is mainly concentrated on the first and second articles.

Of course, this does not mean that Qiao Yu only needs to study the fourth and fifth articles. In fact, he needs to understand the contents of the last two articles and try to find possible logical loopholes in the proof process. First of all, he needs to

Completely understand the first three papers.

Only in this way can he understand the entire team's proof ideas and find the context.

At the same time, he still needs to learn a lot in this process, but Qiao Yu has an advantage.

One of the members of the thesis team is a professor from Huaqing, and he has also added WeChat. If he has any questions, he can ask for advice on WeChat at any time, which greatly saves time. Such a wonderful life!

...

The next day, which was also the day before the first stage of IMO special training, when Xue Song took time to see Qiao Yu at 11 a.m. as usual, he could clearly feel that Qiao Yu today seemed a little different from usual.

For example, after opening the door for him, he did not exchange a few friendly words as usual, but just gave him a blank look, then sat back in his seat. Xue Song looked at him curiously, and then became depressed.

He pointed to a magnified formula on the screen: D-mod(BunG)≈IndCohNilpglob(LocSys^G), and said: "What's wrong with you? Isn't this a geometric Langlands expression? I remember Tian

The proposition assigned to you by the guide is to establish a random prime number model? Or did you apply for it yourself?"

"Well, yes, but I think the emerging geometric theory concept of IndCohNilpglob is very interesting. Let's take a look first." Qiao Yu answered without raising his head.

"Interesting?" Xue Song shook his head and said, "Qiao Yu, I think you have gone crazy."

"Of course it's interesting, Mr. Xue, do you think this isomorphism relationship is very dependent on the specific choice of G. If the selection of G in a specific context causes the properties of certain geometric objects to change, it may lead to this

The failure of a homogeneous relationship is likely to produce misleading results?"

Qiao Yu suddenly asked.

Xue Song was at a loss, pursed his lips, swallowed subconsciously, and said: "Qiao Yu, please respect a mathematics professor who plans to dedicate his life to Diophantine equations. I can't be an all-rounder in mathematics. In this era,

There can be no more general math geniuses. The last words were said by Jon Nielsen."

"Oh, then let me ask Professor Pan." Qiao Yu responded casually, and then picked up the mobile phone next to him. Xue Song scratched his head, and Qiao Yu did not raise his head to look at him during the whole conversation.

This state made his scalp numb, and he even doubted whether Qiao Yu realized that he was standing behind him at this moment.

This made Xue Song a little confused. He was thinking about whether Tian Yanzhen should come and see his students. What was going on? Wasn't he still shouting that he was too tired to study some time ago? Why did it suddenly happen like this?

On the other side, at Huaqing University, someone has already done this directly.

In Qiuzhai, Pan Jingyuan hurried into Yuan Zhengxin's office and said worriedly: "Mr. Yuan, could you please talk to that kid Qiao Yu and don't work too hard? Your health is still important."

"Huh? What's wrong?" Yuan Zhengxin looked at Pan Jingyuan in confusion and asked without knowing why. Professor Pan didn't say anything and handed over the phone with a wry smile.

Yuan Zhengxin took the phone and put on his glasses. Oh, it was the WeChat chat record with Qiao Yu.

Hey guys, ever since I added Professor Pan’s WeChat account yesterday afternoon, the chat has never stopped!

It was fine in the afternoon, just some very basic questions and some gossip, but in the evening, there were more questions. At first, I would just ask a question every ten minutes. Later, the questions were not so frequent, but every time , a question will pop up in two hours.

They are all problems that look very complicated.
Chapter completed!