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Chapter 102: Those Genius Opponents and the Youngsters Who Don’t Play by the Rules
February 2025, 2 is the eighth day of the Chinese lunar year of the Snake.

Xingcheng High-speed Railway South Station, platform 3.

Old Xia was watching a couple ten meters away sighing non-stop, which annoyed Liu Lu next to them. She couldn't help but complain, "That's enough! It's just a gift! It's hard to stay at home for a few days during the New Year, why don't you go on this trip?"

Old Xia looked helplessly at the woman beside him and complained, "Didn't you see that you took your daughter up?"

Liu Lu sneered, and then said: "As if you didn't hug her back then."

Old Xia was startled, then he muttered subconsciously: "At least we should avoid people. How could I dare to do this in front of adults?"

Liu Lu's smile became even colder, and she said disdainfully, "Oh, you feel honored by the performance of a cowardly rat?"

Well, Old Xia finally knew about it. In fact, his wife was not very comfortable either. She could only sigh and said, "Hey, if it was Qiao Yu who took the initiative to hug our daughter, I wouldn't say anything. But it was our daughter who took the initiative to hug him!
It’s not that Qiao Yu is not good, but he went to Yanbei University. What if he meets someone better than Keke... Well, if Qiao Yu is not so good, it’s not a big deal. Keke has already spoiled her appetite. I’m afraid that when Keke reaches the age when she really needs to fall in love, she will compare herself with Qiao Yu... Well..."

Liu Lu said in a muffled voice: "That's enough, you really like to worry about nothing! At most, my family won't marry her off. It's not like we can't afford to support her. Besides, Qiao Yu isn't that kind of person."

"How can a fifteen-year-old child be determined?"

"You're still talking nonsense, aren't you?"

"Cough cough..."

……

At this time, Qiao Yu was looking at Qiao Xi beside him, helpless.

After all, Lao Xia and Liu Lu are the employees of Tie Lao Da. Although they don't have the power to let Qiao Yu take the high-speed train to Beijing for free, they still have the ability to bring a child into the station with their work ID and give him a ride at the same time.

Who would have thought that Xia Keke, the girl, would just hug Qiao Yu and cry without caring about anything as soon as they reached the platform.

Without saying a word, she clutched the clothes on Qiao Yu's shoulders with both hands, buried her head in Qiao Yu's chest, and sobbed. Qiao Yu could feel the warmth on his chest through his clothes.

It would have been fine if the two of them were alone together, but Lao Xia and Liu Lu were standing right next to them, making Qiao Yu not know where to put his hands.

He couldn't just raise his hands, could he?
In the end, he could only carefully place it on the girl's back and pat her gently...

I hoped that Qiao Xi could persuade Xia Keke to leave, but Qiao Xi just irresponsibly shifted his gaze away and looked in the distance in the direction where the high-speed train would soon arrive.

Well, there's no hope.

Qiao Yu glanced at the old Xia couple in the distance from the corner of his eye. After finding that they had no intention of coming forward for the time being, he lowered his head and said lightly, "That's enough. This general promises that he will come back alive after this expedition to Yanbei, okay?"

The tender white hand that was holding Qiao Yu's arm and clothes loosened, and then hit Qiao Yu. Hey, it was very light, and it didn't hurt at all.

"Isn't that enough? Fine, I'll guarantee that I won't be distracted by those foreign women from Yanbei. I'll go alone and come back alone. That should be fine, right?"

"Bah, what a treat!" Xia Keke finally raised her delicate little face and glared at Qiao Yu. Her eyes were red and reflected light, but she still stuck to him without any hesitation.

"Ahem, that girl has to avoid her father when she grows up!" This time Qiao Yu almost whispered, fearing that his voice would drift into Old Xia's ears with the wind.

After all, he didn't feel it was unfair even though he was beaten by Lao Xia for this sentence.

As the saying goes, do not do to others what you do not want others to do to you. If any boy dares to say such things to his daughter in the future, Qiao Yu feels that the boy will be able to take care of himself for the rest of his life, and that means he, as a father, has not done his job well.

Most men are like this. There are some things that they can do but others can never do.

"Qiao Yu, stop making trouble!"

"Okay, okay, I won't make a fuss, but you have to let me say goodbye to my mother, right?"

"Auntie, Qiao Yu is about to leave but he's still bullying me."

"Hmm?" Qiao Xi retracted his gaze and swept his eyes across Qiao Yu and Xia Keke. He thought distressedly for a long time and finally uttered, "Qiao Yu, remember to take responsibility for bullying girls!"

"Ah?!" Qiao Yu was stunned. Xia Keke smiled shyly, although her eyes were still red, like a rabbit, well, a rogue rabbit.

Qiao Yu had no idea what Xia Keke was so happy about. He had bullied so many little girls when he was a child, and now he must be exhausted after taking responsibility for all of them!
Seeing that the two young people finally separated a little, Old Xia also pulled Liu Lu over and coughed twice: "Cough cough...", which earned him an annoyed roll of the eyes from Xia Keke.

But Lao Xia was unmoved. All men think the same. It's enough. Going to school is not like going to the battlefield. If this continues, Lao Xia feels that he will lose control of his anger.

"Qiao Yu, you must study hard when you go to Yanbei University. You must not let this rare opportunity go to waste." Old Xia, who had not read much, racked his brains and came up with these words of encouragement.

"Don't worry, uncle. I'm good at this."

"Yeah!" Old Xia nodded seriously, then looked at Qiao Xi.

The mother should say something too, otherwise it’s not a good thing to have the two children stick together all the time.

Qiao Xi looked at Qiao Yu and said seriously, "Don't cause trouble in the capital. I can't afford it. I still want you to live well."

"Mom, I never cause trouble, okay! Not to mention my mentor is very good at settling things!"

"Okay, Keke, come here. The passengers are starting to get off the platform, and the train will be here soon." Liu Lu waved at Xia Keke.

Indeed, there were already a large number of passengers carrying suitcases rushing towards the platform in the distance.

Xia Keke looked at Qiao Yu reluctantly again, finally let go of her hand and returned to her mother, but her eyes were still fixed on Qiao Yu.

"Well, you have to work hard too. There are still two and a half years left. Don't let yourself fail to even get into Yanbei University and start crying again!" Qiao Yu, who finally felt relieved, taught him in a condescending manner.

"Don't worry! I will definitely be admitted to Yanbei!" Xia Keke shouted unconvinced, making Old Xia feel frightened.

What kind of family is this? They always mention Yanbei, Yanbei... If his daughter really gets admitted to Yanbei University, he will have to set up at least fifty tables, right?

Thinking of this, seeing that Qiao Yu went to Yanbei University without even asking anyone to celebrate, the intimate scene of the two little guys just now automatically skipped from Lao Xia's mind.

Qiao Yu was able to be admitted to Yanbei University with his own ability. I don't know how much hardship he had to endure behind the scenes. Oh, it's so difficult!

……

The train finally arrived at the station, with the rough man Lao Xia feeling very sad.

Qiao Yu checked his ticket and got on the train. Under the guidance of the conductor, he put his luggage away, waved out the window, and the door closed.

High-speed rail is not only fast, but also efficient. It only stops at Xingcheng South Station for three minutes, which is actually quite good. High efficiency can always dilute some of the lingering sadness. But when the train started moving, when Qiao Yu saw Xia Keke through the window, tears suddenly dripped from her eyes, which made her feel a little emotional.

Well, there was one more person he had to worry about after all.

Hey……

It’s so difficult to be an excellent man!
He waved vigorously toward the window again, and only when the platform disappeared from view did Qiao Yu take out his laptop from his bag. He leaned comfortably in the business class chair that was as comfortable as a massage chair. Suddenly, he felt that Yu Wei's words that day might not be just a show of superiority.

After sitting in business class once, Qiao Yu really felt that the treatment in other carriages was too poor.

Not only can he ring the bell anytime he needs something, he can also make various requests, and there are free meals available at any time... As expected, Old Xue is not lying to him. He has to follow the right tutor to study! If he had another tutor, he probably wouldn't be so generous to book a business class seat for him, right?

The more likely scenario is to send a message directly, confirm the time for him to come to school, and then let him find a way to get there himself.

……

Speechless all the way.

The business car that Qiao Yu was sitting in had only six seats. Although it was full, it was also quite quiet.

Maybe Qiao Yu was lucky, he didn't run into the big boss who kept talking on the phone, the other five people were either using their foldable phones or using their laptops like Qiao Yu. They all looked very busy.

Qiao Yu didn't see anyone lying down on the chair to sleep. This also made Qiao Yu quite emotional. Sure enough, those who are willing to spend money are also very cruel to themselves.

He had originally planned to take a break after lunch, but the people in the same carriage were too hard-working, so he lost the desire to take a break and just kept listening to the class with headphones on.

The train arrived on time. Qiao Yu followed Lao Tian's instructions and exited from the east. He looked for a long time but didn't see anyone holding a sign with his name on it.

Just as he was about to call Lao Tian to ask what was going on, he suddenly heard a familiar voice calling him.

"Qiao Yu, this way."

I looked in the direction of the sound and was stunned. The first thought that came to my mind was whether the train had gone to the wrong place and was heading to Xiaozhou...

"Hey, Mr. Xue, why did you come to Beijing? You know what, you are so charming by yourself, but you are standing with a bunch of people, and your charm is buried. I didn't even notice it."

Xue Song couldn't help but glare at this guy.

Before they got to know each other, Qiao Yu was very respectful to him, but after they got to know each other, he dared to say anything to him.

"Your instructor transferred me to Yanbei University and asked me to take care of you. You can think of me as your little instructor from now on."

This sentence shocked Qiao Yu.

Although Qiao Yu had never been in the university circle, he could still imagine how difficult it was for a university professor to transfer across provinces.

Not to mention entering a top university like Yanbei University.

As a result, Director Tian silently transferred Old Xue to Yanbei University to be his junior director?
No wonder Lao Xue said that Director Tian is capable of handling responsibilities. He really is capable of handling responsibilities.

"No, wasn't Yanbei University opened by our Director Tian? How can it be transferred just like that?" Qiao Yu couldn't help but sigh.

Old Xue glared at Qiao Yu and said, "Don't talk nonsense outside and don't cause trouble for your tutor."

Qiao Yu curled his lips. The capital city was indeed not an ordinary place. Even the daring Old Xue began to act cautiously after coming to the capital city.

"Oh, by the way, Mr. Xue, please help me drag the box. I have to call my mother right away." Qiao Yu handed the box to Mr. Xue and took out his cell phone. He said he was going to make a call, but he directly opened WeChat and started a video call.

The video was connected immediately.

"Hey, Mom, I'm in Beijing. You'll never guess who's here to pick me up."

"Oh, who?"

"It's Professor Xue from Yujiang University that I told you about. He has also been transferred to Yanbei University. He will be my full-time tutor in the future. He even came to pick me up today, so don't worry."

Xue Song, who was walking nearby, saw Qiao Yu pointing the front camera of her phone at him, so he could only raise his hand and greet her on the phone screen: "Hello, Qiao Yu's mother."

"Hello, Professor Xue. I'm sorry to trouble you with Qiao Yu. This child is a bit naughty. Please take care of him."

"Don't worry, I will take good care of him."

After a brief exchange between the adults, Qiao Yu turned the camera to herself again: "Okay, Mom, Professor Xue and I are going to take the bus. I'll call you when I'm settled."

"Wait a minute, Coco is here too, talk to her."

As he spoke, another face came into view.

It’s pretty good, at least I didn’t cry, but my eyes are still a little swollen.

"Um, Coco-san..."

"Who is your classmate, Brother Qiao Yu?"

Hearing this familiar voice, Qiao Yu also let go and said, "I'm telling you, I'm leaving my mother to you. Please help me take good care of her while I'm in the capital!"

Xia Keke's eyes brightened up and she nodded vigorously: "Well, don't worry."

"Also, I'm waiting for you in Yanbei, so you can't fall behind in your studies. I'll get you some practice questions for the college entrance exam in Beijing and send them to you. I'll go back and check them during the summer vacation."

Qiao Yu thought Xia Keke would refuse, but who would have thought that the girl actually nodded seriously and said, "Okay, then we have a deal! I will finish all the questions you sent me and wait for you to come back and check them!"

Is this... the congenitally masochistic holy body?
"Okay, Brother Qiao Yu, you just arrived and there are still many things to do. Go and do them first. I won't talk to you anymore!"

After saying that, the person on the other end even hung up the video obediently.

Could it be that he has been brainwashed by Qiao Xi?

"Was that your girlfriend just now?" Xue Song asked from the side.

Qiao Yu put the phone back in his pocket and changed the subject naturally: "I have a younger sister at home. By the way, what is the lecture that Director Tian asked me to attend about?"

This trick was very useful. Xue Song was too lazy to ask about these messy things and asked back: "Do you understand the Spiro problem?"

Qiao Yu shook his head blankly.

Xue Song smiled and said, "But you should know about the Mordell conjecture. You used the Faltings theorem in your paper."

Qiao Yu nodded immediately and said, "I know this. For any smooth projective algebraic curve with genus greater than or equal to 2 defined over the field of rational numbers Q, its set of rational points is finite."

Xue Song explained: "You can think of the Spiro problem as a continuation and deepening of the Model conjecture, which is mainly about estimating the exact upper bound of the number of rational points on this type of curve.

In simple terms, Model's conjecture is an existential problem that only concerns whether the set of rational points is finite or infinite; while Spyro's problem is a specific problem about the number and estimation of these rational points. It belongs to the research field where number theory and algebraic geometry meet. "

Qiao Yu nodded, roughly understanding the meaning.

"Professor Robert Greene is an expert in related research issues. It took a lot of effort for the research center to invite him to give three lectures this time. Director Tian and I both think that what you lack most now is the breadth of knowledge, so we asked you to attend this lecture.

On the one hand, it allows you to feel the atmosphere. Normally, when you watch videos online, you cannot ask questions, but face-to-face lectures are different. You can have the opportunity to ask questions directly to scholars. Secondly, such lecture opportunities are rare, and we don’t know whether we can invite them next time.

In addition, Professor Tian saw that you are studying the zeta function recently. If you are interested in the Riemann hypothesis, you should also come to the lecture. After all, the problem of rational points on algebraic curves is closely related to L-functions and modular forms.

Learning the research methods of this type of problem can help you understand more about the characteristics of related functions, and may give you more inspiration in studying the zeta function in the future. By the way, Professor Green is very knowledgeable and has also studied quantum field theory. Please respect him when you go to his lectures.

Finally, after you settle down today, you will be given a day to adapt, not to adapt to life. There are many professional words in related fields, and you must memorize them before tomorrow's lecture. Otherwise, you will not understand what others say after a lecture, which will be a waste of opportunity. "

Just like that, Xue Song finished his chattering and arrived at the underground garage of the high-speed railway station. Old Xue took out the key and pressed it, and a Hongqi car flashed its lights.

"Huh? This car is quite beautiful. Did you buy it? Teacher Xue?"

"What are you thinking? Even if I have the money to buy a car, I don't have a license plate! This is the reception car of the research center. Your supervisor specially approved it for me to pick you up. Get in the car."

Xue Song, who was putting luggage in the trunk, glared at Qiao Yu, feeling a little sad.

The day before yesterday, when he arrived in Beijing, he didn't have such a good treatment. He waited in line at the exit for half an hour before he got a taxi to Yanbei University. There was no other way. Not many people came to Beijing, and he didn't know how to get there when he took an online taxi.

Who would have thought that after getting in the car, just as he calmed down and fastened his seat belt, Qiao Yu, who was sitting in the back seat, asked leisurely, "Hey, Teacher Xue, why didn't Director Tian come to pick me up?"

"No? What do you think? Are you some big shot? And Director Tian came to pick you up? Don't you know that the time right after a long vacation is the busiest for big shots? They have meetings every day and are always busy! Do you have a misunderstanding of Director Tian's identity, or do you have a misunderstanding of your own identity? Or do you have a big misunderstanding of China's mentor system?"

Really, Lao Xue has been very restrained.

He had never seen such a pushy student. Thinking about it this way, his graduate students at Yujiang University were not so useless.

He stood under the office building to greet the new students. The students were all very grateful. Qiao Yu even hoped that his tutor would come to the station to pick him up.

"Hey, Director Xue, don't be angry. I just think it's not worth it to come to the station empty for such a big car..."

Qiao Yu said this awkwardly, and then, not even a minute after being quiet, he suddenly said, "Teacher Xue, the professor you invited this time, could it be that Director Tian invited him specifically for me? Otherwise, how could it be such a coincidence that he is just right for me to listen to?"

Xue Song was stunned for a moment, did not answer, and started the car directly.

There was no conversation along the way, because Xue Song was too lazy to pay attention to this guy Qiao Yu. Although his question was very possible if you think about it carefully, Xue Song felt that this should not be the case!

When the car reached Huaqing East Road, Qiao Yu saw the southeast gate of Yanbei University through the car window: "Hey, the gate of Yanbei University is not big, but it looks antique?"

"That's for people to walk through, and it's not accessible to traffic, how much bigger do you want?!"

"Oh! Wow, Huaqing University is really across the street? Are they really that close? There's just one street across! I thought the words "across the street" on the Internet were an adjective."

"Yes, it's that close. Last year, both sides started to connect their identity verification systems. Once your student ID card is issued, you can go directly to the other side with your student ID card."

"Tsk tsk tsk, aren't they getting a great deal? As expected, Huaqing University is the closest university to the world's greatest university of the future. The closest in the physical sense, just across the street." Qiao Yu sighed sincerely.

"What you just said is the greatest university in the world?" Xue Song couldn't help but glance at Qiao Yu through the rearview mirror of the car.

"Yanbei University has taken both of us in. With Director Tian, ​​a wise and insightful Buddha, watching over us, it will be hard for Yanbei University not to become the greatest university in the world in the future. Don't you agree, Mr. Xue?"

There were too many flaws in this sentence, and Xue Song didn't know how to refute it for a moment. But the words "Crouching Dragon and Phoenix Chick" inevitably popped up in his mind.

After a long silence, he finally said, "Qiao Yu..."

Qiao Yu, who was full of ambition, immediately responded: "What's the matter, Teacher Xue?"

"I can't control you if you talk like this outside in the future, but before you realize these great wishes, don't tell others that I am your junior tutor at Yanbei University."

This time it was Qiao Yu's turn to be depressed.

As expected of a mathematics tutor, the conditions are set very strictly, which means that only after all these are achieved can you become his tutor.

It turns out that mathematicians are the kind of people who are unwilling to suffer losses.

"Don't worry, Mr. Xue, the whole world will know that you are my little director."

……

Arriving at the campus of Yanbei University, Xue Song parked the car and settled Qiao Yu down first.

Because Qiao Yu was not yet a formal student and it was inconvenient to arrange a dormitory for him, Director Tian simply arranged for Qiao Yu to stay in a room of more than 20 square meters on the first floor of a building on the easternmost side in a corner of the research center.

There is a bed in the inner part for resting, and a desk in the outer part by the window, which fully meets Qiao Yu's requirements for an independent study room. Air conditioning, WiFi, and a water dispenser are all available. The only problem is that the room does not have an independent bathroom.

"In the morning, go to the bathroom in the building to wash up. It's not far from here, but remember to dress neatly before going out. If you want to take a shower, go to the public bathroom in the dormitory area. I'll take you there later. Your student status has not been transferred this semester, so this is the only way for now. The dormitory will be arranged normally next semester."

Xue Song explained as he helped Qiao Yu pack his luggage.

He didn't want to be like a nanny, but there was no way. Tian Yanzhen gave him all the work of arranging Qiao Yu, and this kid was not a formal student who came to report to school.

In addition, the joint training program has not yet been formally signed, and his doctoral students have not yet reported to Yanbei University, so he has to do all these things himself.

"It's okay, this environment is already pretty good. By the way, does this mean that when I officially start studying next semester, this will still be my independent study room?" Qiao Yu asked.

If so, that would be really nice.

After all, it was just a single room in Tieyi Middle School, but it was upgraded to a one-bedroom apartment when he came to Yanbei University, which is enough to prove his efforts.

Xue Song glanced at Qiao Yu and replied, "That depends on whether your progress during this period of time is worthy of having an independent study room."

"I see! But there has to be a quantitative standard for this progress, right? For example..."

"Don't give me an example. Open the first drawer of your study desk and take a look."

"Oh." Qiao Yu obediently opened the drawer, and an English magazine lay quietly inside.

"The sample issue of Journal of Number Theory was sent to you directly because I provided the address. I kept one copy for you. Your paper is on page 27," Xue Song said.

"Hey, why doesn't my paper have a cover?" Qiao Yu muttered unhappily, because the cover was of a guy he didn't know, and there was a paper title below, and it wasn't his.

"Haha...did you solve any great problems? And a cover paper! Since you said so, then I, Professor Dai Tian, ​​promise you that as long as you can complete a cover paper this semester, and of course the ranking of the journal cannot be lower than Journal of Number Theory, this study room will still be yours after school starts!"

Xue Song said unhappily.

When he published his first paper, he was ecstatic to see the sample copy sent by the journal. He still remembers the full sense of accomplishment at that time.

Who would have thought that Qiao Yu actually complained that the journal editorial office didn't give him a cover...

While Xue Song was talking, Qiao Yu had already flipped open the magazine, found the page with his paper, and took out his phone to take several photos. Especially the author column under the title...

Then open WeChat and send one photo to your friends group first.

Good news should always be shared with friends first. Although you don’t have time to chat with them now, you can let them envy your achievements first.

He did not forget to reply, "Okay, it's a deal, Mr. Xue, if you can't make the decision, don't cheat."

Xue Song ignored the guy's complaints and said, "Okay, turn on your computer."

Qiao Yu was stunned and looked at Xue Song. He was a little afraid that the professor would also look through his records.

Xue Song urged impatiently, "Hurry up, I don't want to read your stuff. I just want to give you an account to log in to the internal library and give you the right to download high-quality papers collected worldwide for free."

"Oh, I see. Thank you, Teacher Xue."

This time Qiao Yu quickly turned on the computer.

He watched Xue Song operate his computer, then rolled his eyes at him: "Okay, from now on you can just log in to this account and download it. Take some time these two days to download Professor Robert's paper and take a look."

After that, Xue Song stood up and said, "Come on, I'll take you around the campus and have dinner. It's up to you from now on."

……

Qiao Yu took a tour around Yanbei University.

I have to say that Director Tian is really honest.

The Mathematics Center is indeed very close to the Boya Tower and Weiming Lake. Well, it is also very close to the School of Arts. Some of the buildings in the School of Arts are also very beautiful, with antique wooden structures.

The only pity is that the school hasn’t officially started yet, so the campus is a little quiet.

Unlike what is said on the Internet, when the weather is good, the banks of Weiming Lake are filled with seniors walking in groups or sitting on the ground.

The scenery without people is somewhat less interesting.

However, the former residences of celebrities still preserved on campus made Qiao Yu linger.

I don’t know whether the small room he is staying in today will become a celebrity’s former residence and be preserved forever in a few years.

In addition to the courtyard houses, former residences of celebrities and wooden buildings that are full of history, there are also many modern teaching buildings that are very modern at first glance, many of which are directly named after people.

For example, the teaching and research building of the School of Life Sciences is named after the surname Lu; the building named after the surname Li is shared by social sciences and humanities disciplines... In short, there are a lot of them, and when you take a look around, they are all history.

It also made Qiao Yu realize that university is indeed different from middle school, especially the area, which is really too large. However, after a quick walk around, before he finished the tour, his feet began to feel a little sore.

After finishing their meal, he and Xue Song each scanned a shared bicycle and returned to the Center for Mathematical Research.

When he returned to the room again, Qiao Yu had two more cards in his hand.

One is a meal card, and the other is a card for going to the public bathroom.

Xue Song was about to leave. Before he left, he hesitated for a moment and said something: "I didn't want to discourage you, but I still have to tell you something."

"Hmm?" Qiao Yu looked at Xue Song and said seriously, "You go ahead."

"Don't underestimate the heroes of the world. For example, Huaqing University across the street also has many talented people. You may not have heard of Zheng Zhiqiang's name. He also participated in the International Informatics Competition in his first year of high school and was admitted to Huaqing University without taking the entrance exam.

Moreover, he completed his first paper independently during the freshman military training and published it at the International Conference on Computer Vision. Don’t underestimate this conference. Unlike mathematics, computers are developing too fast, so conference papers are more valued than journals.

The conference he submitted his paper to is one of the top conferences in the world for computer vision research. By the time he was a sophomore, he was able to attend another top conference for computer vision, the IEEE International Conference on Computer Vision and Pattern Recognition, as an award presenter and present awards to the best paper authors of that conference.

In addition, the facial recognition registration system that Huaqing is still using was designed by him during his undergraduate studies. In other words, Huaqing doctoral students have to use a system developed by undergraduates to register their faces.

Similarly, there are many geniuses who have achieved a lot in undergraduate studies. Yanbei University also has many amazing talents. Didn’t a student from your famous school in Xingcheng prove the Sitapan conjecture in his junior year?

This is just the number of young geniuses in China. If we look at the world, there are countless young geniuses. For example, Peter Schultz in the mathematics world, you can search for his achievements. He won the Fields Medal at the age of 30! Before that, he had almost won all the mathematics awards that could be won!
So you can be confident, but don’t be too proud! You just started out a little higher than others, and we do have high hopes for your talent, but if you waste your talent because you’re too proud, then…”

Xue Song didn't finish his words.

After all, it is better to leave some space when talking to smart people.

Old Xue was so serious that Qiao Yu immediately became serious as well, and responded, "Teacher Xue, I'm not proud, I just habitually set my goals higher so that I won't slack off before the goals are achieved, right? Besides, I don't mean to look down on the heroes of the world, I'm just motivating myself!"

"Okay, as long as you know what's going on! It's best to take action today. Oh, and don't forget to take some time to read the paper."

"Don't worry, Teacher Xue."

"Okay, I'll leave first. You can go around at night, but remember to come back before ten o'clock."

"Okay, Mr. Xue."

……

Although he acted very modestly, after Lao Xue left, Qiao Yu immediately searched the Internet for the two names Lao Xue had just mentioned, especially Peter Schultz. After all, the other guy was a computer expert, not in the same industry as him.

Then I thought that Schultz was really boring, as he actually brushed IMO four times.

But these didn't really surprise Qiao Yu, after all, he already had a rough idea of ​​the difficulty of IMO test questions. The key point was that after this guy arrived at the University of Bonn, he completed his undergraduate courses in three semesters and master's courses in two semesters, which was indeed excellent.

But the most important thing is that this guy actually created Perfectoid Spaces by himself, and at the age of 24 he became the highest level W3 professor at the University of Bonn.

MMP! Is this guy cheating?
Qiao Yu no longer had time to brag to his two friends named Yu in the friend group. He didn't even bother to memorize those terms at the first place. Instead, he went to find some videos about so-called Perfectoid Spaces with a serious expression, intending to understand what they were and why the mathematics community paid so much attention to them.

What a coincidence! This thing is closely related to the prime numbers he is studying. It even makes him feel itchy in his brain.

The concept of Perfectoid Spaces is based on p-adic numbers. Qiao Yu still has an impression of this. He has watched many videos on the analysis of zeta functions, all of which mentioned the analysis of p-adic zeta functions and their relationship with the distribution of prime numbers and L-functions.

The Perfectoid field, created by Peter Schulze, is a complete non-Archimedean local field with a p-adic topology whose maximal ideal is generated by a prime number p.

Therefore, the Perfectoid body can also be regarded as a limiting form of p-adic numbers, but it can only maintain its completeness under certain algebraic operations.

Therefore, there may be some kind of geometric space with special structure on this perfectoid body, and this special geometric space can be used to deal with complex geometry and number theory problems.

In summary, Perfectoid spaces are obtained by constructing a certain specific completed geometric structure. They can effectively handle complex geometric problems in the p-adic number field through infinite p-adic completion steps.

Moreover, Perfectoid spaces have self-defined symmetries, which can move geometric information between different extension domains, and even allow infinite approximation of geometric objects when dealing with homology problems of algebraic varieties...

Is this something that a human brain can come up with?

Unify part of algebraic geometry to solve some classical number theory problems.

How could such a person have competed in four IMOs and only won first place once? Is the prize money Germany offers for IMO gold medals too much to refuse?

Complaining wildly in his mind, Qiao Yu casually logged into the library system of Yanbei University, and then tried to search for Peter Schultz's name. Sure enough, a bunch of papers popped up.

Qiao Yu downloaded five papers related to Perfectoid spaces without hesitation.

Then I opened the first article in chronological order.

This is a paper published by Peter Schultz in 2011 - "p-adic Hodge Theory for Rigid-analytic Spaces and Perfectoid Spaces".

Then he immersed himself in it, even though his phone kept vibrating. He glanced at it and saw that someone in his friend group was expressing envy, jealousy and hatred, so he turned off the Do Not Disturb function and threw it aside. A weakling like Yu Wei was no longer within his sight, and even torturing him was no longer fun.

Moreover, Qiao Yu suddenly felt a sense of urgency and naturally had no time to talk nonsense with the two of them.

The top student opposite him submitted a paper to a top conference during the military training in his freshman year. If he wants to be better than others, he must submit a paper to a top mathematics journal before the military training in his freshman year. There is only half a year left, how can we waste it when our brain is not tired?
You have to wait until your brain can no longer take it before you can relax.

Not to mention that Qiao Yu now really wants to get into Peter Schultz's mind to see how this guy constructed all this.

……

Outside Qiao Yu's room, in the office on the second floor of the next building, Tian Yanzhen had just returned to the office.

I had originally planned to come back after the meeting to have dinner with Qiao Yu and chat with him, but after the meeting, I couldn't refuse the invitation and stayed there for dinner.

I still have some project plans for cooperation with foreign countries to look at.

The secretary knocked on the door, walked in, printed out the plan that needed to be confirmed, and said with a smile before leaving: "I just saw in the backend of the account that Qiao Yu just downloaded five papers by Peter Schultz, all about the theory of quasi-complete spaces."

"Oh?" Tian Yanzhen was obviously surprised and a little confused.

This kid, today I asked Xue Song to give him the account, thinking that he would consciously download Professor Robert's related papers, after all, his lecture is the day after tomorrow. It is important to understand the other party's mathematical ideas in advance.

It turns out that this guy doesn't play by the rules at all. How come he suddenly started to clash with Peter Schultz's theory of complete space?

"Okay, let's go take a look after we're done." Tian Yanzhen shook his head and stopped considering what the little guy was thinking. Instead, he focused on the terms of this cooperation.

After completing the review, I signed, backed up, finished my work and walked out of the office.

"Let's go and see what my new students are doing."

The research center is so small. After walking out of the office building and taking a few dozen steps, he arrived at the room temporarily arranged for Qiao Yu. The little guy didn't draw the curtains, and from this angle he could just see Qiao Yu's profile through the glass.

At this time, Qiao Yu was sitting at the table looking at the computer, with paper and pen beside him.

Tian Yanzhen reached out to stop the secretary who was about to knock on the door, and stood there for a moment, watching Qiao Yu staring at the computer. Sometimes he would suddenly pick up a pen to write and draw on the manuscript paper, and from time to time he would keep hitting his head with the pen, and occasionally he would suddenly show joy...

"Forget it, let's go back today and not disturb the child's thoughts." After standing for a while, Tian Yanzhen shook his head, then turned and left.

　PS: The 17-word update was completed in days!
　　
　
(End of this chapter)