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Chapter 116 I think you are standing on the top of the mountain, and you can’t see any faces below
After making all the necessary preparations, just as Qiao Yu was about to start reading the paper, he suddenly picked up the phone that had been placed aside.

Dependence on each other is never just talk. For such a big thing, Qiao Yu felt it necessary to inform Qiao Xi, and then the two of them stood on the same front.

So Qiao Yu opened WeChat and sent a video directly.

This matter is more important. It is not enough to just call and listen to the voice. He also needs to pay attention to the changes in Qiao Xi's expression and explore his mother's true thoughts.

Soon the video was connected, and Qiao Yu saw Qiao Xi's gentle face, as well as 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 he was a child, Qiao Yu always thought that his grandfather could ward off evil spirits, and he still thinks so now. According to Chinese tradition, it is probably the blessing of the ancestors.

This picture made Qiao Yu very satisfied.

Of course it’s not because Qiao Xi didn’t move the photo on the bedside table, but the fact that Qiao Xi was in his room instead of in the living room shows that his mother is really studying hard and preparing for the college entrance examination three years later.

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

People cannot get back time and youth, but they can make up for the regrets left in their youth from every day in the future. The premise is that they need to make efforts and take actions. This is a more positive attitude towards life, just like what Qiao Xi is doing.

"Mom, I guess you miss me again."

"Well, if you mean before I memorized this "Family Instructions", then yes."

"Actually, there's no need to rush to review Chinese. With your memory, you can just memorize it in the last six months."

"But doing exercises is tiring. You sent me so many math and science papers, and I do them every day and I don't think the number is decreasing. So when I get tired of doing exercises, I can relax my brain by reading Chinese books, which is good."

"That's right. Well, that man's name is Feng Yu, right?" Qiao Yu blurted out, his eyes focused on Qiao Xi on the screen.

Very good. The woman still looked lazy. She just raised one hand to support her chin. When she spoke, her tone was a little surprised: "Huh? Did you really find that man?"

Qiao Yu was quite satisfied with this reaction.

There aren't many unexpected emotions, and no obvious mood swings.

This shows that Qiao Xi really doesn't take this man too seriously. There is no doubt that this is Qiao Yu's ideal state, but it is obviously also possible that she is acting.

Qiao Yu understood Qiao Xi just as Qiao Xi understood him.

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

Qiao Xi shook her head slightly and said with envy, "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. Maybe he will be nominated for the Fields Medal next year and become a world-famous mathematician. So after very serious and careful consideration, I decided to give him a little more difficulty in his otherwise smooth life."

Qiao Xi propped up her chin with her other hand and said, "Although this sounds like a good idea, will it cause you any trouble?"

Qiao Yu smiled, looking like a cunning fox: "What kind of trouble can he bring to me? He has the Fields Medal, and we have it too! You can't even imagine how much my master loves me. Not to mention that I have a mentor to protect me."

Qiao Xi smiled gently and replied, "So it's even more meaningless, Qiao Yu. If you feel hatred, then you lose first. What qualifications does he have for you to hate him? He doesn't deserve it. Of course, if you really feel angry, I suggest you treat this as a game. Anyway, you have nothing to do.

Just like I am working hard to prepare for the college entrance examination. Haven't you noticed that our lives are out of place? You are obsessed with studying when you need to study. I immerse myself in studying when I need to work. This is a very novel experience. It will be very troublesome if there are too many messy things. "

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

Qiao Xi sighed, put down her hands, straightened up, and looked at the camera more seriously with a faint smile: "Don't think about it, I actually want to see that man get into trouble, after all, if he gets into trouble, I can also gain happiness.

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

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

Qiao Xi replied: "It's the scene you described to me before. You just do something to reach the height he desires. When he takes the initiative to find you, I will stand up and protect you, and make him and his family roll aside and stay away from my son!
By the way, you must return the money his family gave him with interest. In the days to come, every time you do something great and produce an amazing result, he will deeply regret it. Your results are so great that he can't even isolate himself from your news.

Now, whenever I think about these things, I feel very happy. Qiao Yu, let happiness be simpler. Your life should be happy. Mathematics makes you happy. So, stand at the top of the mountain of mathematics and look down. Where is he? I can't see him.
Hehe... If you can reach that level, I'd be very happy just thinking about it! Believe me, this is the biggest punishment for people like him. He can't sleep every day because he sees that you are at the top but can't take advantage of him. "

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

Qiao Xi looked at Qiao Yu absentmindedly, and suddenly asked, "Then what? Can you reach the top, Qiao Yu? Like I said, when you stand on the highest mountain, only others can look up at you. When you lower your head, you can't see any face clearly."

Qiao Yu nodded confidently: "Of course, I will let him see the statue of grandpa 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 to stand on the top of the mountain!"

Qiao Xi said calmly: "Please don't just talk about it. Your grandfather said that men should do what they say."

Qiao Yu waved his fist at the camera with high morale: "Just wait and see, I'm determined to listen to you. Treat this as a game. You have to have faith in me. I'm very good at playing games!"

Qiao Xi smiled, and when the corners of her mouth curled up slightly, she looked like a blooming lotus...

"Okay, Qiao Yu, I'm looking forward to seeing you stand on the top of the mountain."

……

After turning off the video, Qiao Yu took a deep breath.

It feels like there is a fire burning in my heart.

As expected, the Qiao family is full of monsters.

Qiao Yu remembered that when his grandfather was still alive, he would encourage him. At that time, Qiao Xi was always lazy.

Who would have thought that Qiao Xi has also awakened the blood of chicken blood now. Standing on the top of the mountain, he couldn't see any face below, including that man's, of course. Just thinking about it made Qiao Yu tremble with excitement.

Qiao Yu looked at his computer, which contained a bunch of downloaded papers.

I subconsciously reached for the mouse, hesitated for a moment, and then decisively deleted most of the papers.

Since Qiao Xi wanted to watch a peak game showdown, all the past events should be put aside for the time being.

He got the news from Professor Pan that the nine people in the team valued this achievement very much. Especially for the 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 needs to do now is to fully understand and analyze the entire process of proving the hypothesis, and then conduct targeted research to see if there are any 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 crowd reviewer.

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

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

The conjecture states that there is a one-to-one correspondence between the ridges on an algebraic curve and the representations of Lie groups. Specifically, it states that certain geometric objects on an algebraic curve can correspond to certain algebraic structures.

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

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

Fortunately, Qiao Yu had done research on algebraic curves, and Lie groups had also done some research, although not in depth. The better news was that the research team used five papers to explain such a huge proposition.

If the five articles are arranged in a certain logical order, the man's work is mainly concentrated in the first half, while the work of Professor Pan of Huaqing and his mentor Dennis is mainly concentrated in the second half.

Of course, this does not mean that Qiao Yu only needs to study the first half. In fact, he needs to understand the logic of the entire proof and try to find possible logical loopholes in the proof process. He must understand all five papers.

This will enable him to 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 advantages.

One of the thesis team members is a professor at Huaqing University, and we have added each other on WeChat. If he has any questions, he can ask me on WeChat at any time, which saves a lot of time.

Such a life is so beautiful!

……

The next day, which was also the day before the first phase of IMO special training, Xue Song took time out to visit Qiao Yu at 11 a.m. as usual. He could clearly feel that Qiao Yu seemed a little different today than usual.

For example, after opening the door for him, she didn't exchange a few warm greetings as usual. She just looked at him blankly and then sat back in her seat.

Xue Song took a look out of curiosity, 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 again? Isn't this a geometric Langlands expression? I remember that the proposition assigned to you by Director Tian was to build a random prime number model? Or did you apply for it yourself?"

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

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

"Of course it's interesting, Professor Xue. Do you think this isomorphism is very dependent on the specific choice of G? If the G chosen in a specific context causes the properties of some geometric objects to change, this isomorphism may fail. It is very likely to produce misleading results?"

Qiao Yu suddenly asked.

Xue Song was at a loss. He pursed his lips, swallowed subconsciously, and said, "Qiao Yu, please respect a mathematics professor who intends to devote his life to Diophantine equations. I can't be a mathematical all-rounder, and there can't be another mathematical all-rounder in this era. The last sentence was said by John Nielsen."

"Oh, then I'll ask Professor Pan." Qiao Yu replied casually, then picked up the phone next to him.

Xue Song scratched his head. Qiao Yu didn't even look up at him during the whole conversation.

This situation made his scalp tingle, and he even doubted whether Qiao Yu was aware that he was standing behind him.

This made Xue Song a little confused. He was considering whether he should ask Tian Yanzhen to come and take a look at his students. What was going on? Wasn’t he complaining that studying was too tiring some time ago? Why did he suddenly become like this?

On the other hand, at Huaqing University, some people have already done this directly.

……

In Qiuzhai, Pan Jingyuan hurried into Yuan Zhengxin's office and said worriedly, "Mr. Yuan, can you please tell Qiao Yu not to work so hard? Health is more important."

"Huh? What's wrong?" Yuan Zhengxin looked at Pan Jingyuan in confusion and asked without knowing the reason.

Professor Pan said nothing, just smiled wryly and handed over the phone.

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

Wow, since I added Professor Pan on WeChat yesterday afternoon, we have been chatting non-stop!
It was okay in the afternoon, just some very basic questions and some gossip, but in the evening, there were more questions. At the beginning, there was a question every ten minutes or so, and later on, the questions were not so frequent, but a question would pop up every hour or two.

They are all the kind of problems that seem very complicated.

The last question last night was at 1:53 a.m., but another question started coming at 6:57 a.m....

Good guy? You work so hard?
(End of this chapter)