In addition, Director Tian saw that you are studying the Z function recently. How can I say that if you are interested in the Riemann Hypothesis, you should also come and listen to the lecture. After all, the problem of rational points in algebraic curves is closely related to the L-function and modular form.

.

Learning the research methods for this type of problem can help you understand more about the characteristics of related functions, and you may be able to get more inspiration for studying functions in the future. By the way, Professor Green is very knowledgeable and has also studied quantum field theory. You go

Be respectful when listening to lectures.

Finally, after you settle down today, I will give you a day to adapt, not to let you adapt to life. There are many professional words in related fields. You must write them down before tomorrow's lecture, otherwise you will not be able to understand what others say after the lecture.

What, it’s a waste of opportunity.”

Just like that, Xue Song finished chatting and arrived at the underground garage of the high-speed rail station. Lao Xue took out the key and pressed it, and a red flag flashed. "Eh? This car is very beautiful. Did you buy it? Xue

teacher?"

"What are you thinking about? Even if I have money to buy a car, I don't have a license plate! This is the research center's reception car. Your instructor specially approved it for me to pick you up. Get in the car." Xue Song, who was putting luggage in the trunk, glared.

He glanced at Qiao Yu, feeling a little sad.

The day before yesterday, when he arrived in the capital, he didn't get such good treatment. He had to wait in line for a full half-hour at the taxi stand at the exit of the station before he could get a taxi to Yanbei University. There was no way, there weren't many people coming from the capital, so he made an appointment online. I didn't even know how to get into the car. Who would have thought that after getting in the car, I had just calmed down and fastened my seat belt. Qiao Yu, who was sitting in the back seat, asked again leisurely: "Hey, Teacher Xue, why didn't Director Tian come to pick me up?" ah?"

"No? What do you think? Are you some kind of big shot? Director Huantian came to pick you up? Don't you know that just after a long vacation is the busiest time for big guys? They have meetings every day without touching the ground! You Is it a misunderstanding about Director Tian’s identity or about your own identity? Or do you have some big misunderstanding about China’s mentorship system?”

Really, Lao Xue has been very restrained.

He has never seen such a pushy student.

Thinking about it this way, his graduate students at Yujiang University are not so useless.

He stood under the office building to greet the new students. The students were all grateful. Qiao Yu even thought that the instructor would come to the station to pick him up. "Hey, Director Xue, don't be angry. I just feel that such a big car is empty." It’s not worth a trip to the station..."

Qiao Yu said something sarcastic, and then without being quiet for a minute, he suddenly said: "Mr. Xue, you said that the professor invited this time was not specially invited by Director Tian based on my situation? Otherwise what? What a coincidence, it's just right for me to listen to?" Xue Song was stunned for a moment, didn't answer, and started the car directly.

There were no words all the way, because Xue Song was really too lazy to pay attention to this guy Qiao Yu. Although it was possible to think about his problem carefully, Xue Song felt that it shouldn't be!

Until the car drove to 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 walk-ins. It’s not open to traffic, how big do you want it to be?!”

"Oh! Wow, Huaqing University is actually across the street? Are they really so close to each other? It's just such a road! I thought the Internet said "across the street" was an adjective."

"Yes, it's so close. Last year, the two sides began to work on the interoperability of identity information 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 taking advantage? Sure enough, Huaqing University is the closest university to the future greatest university in the world. The closest in the physical sense is just one street away." Qiao Yu sighed sincerely. sentence.

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

"Yanbei University has taken both of us, master and apprentice, into its fold, and Director Tian, ​​a giant Buddha with a sharp eye, is shielding us from above. It will be difficult for Yanbei University to become the greatest university in the world in the future. You "Say it right, Teacher Xue." There were so many flaws in this sentence that Xue Song didn't know how to refute it for a while. But the word "crouching dragon and phoenix chick" inevitably popped up in his mind.

After being silent for a long time, he said: "Qiao Yu..."

The ambitious Qiao Yu immediately responded: "What's the matter, Teacher Xue?"

"I can't control you if you talk like this outside in the future, but before your great wishes come true, don't tell anyone that I am your junior supervisor at Yanbei University." Lun Qiaoyu was depressed this time.

As expected of a mathematics tutor, the conditions are very strict, which means that only after these are achieved can one be recognized as a tutor. As expected, mathematicians are unwilling to suffer losses.

"Don't worry, Teacher Xue, the whole world will know that you are my little tutor from now on."

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

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

There is a bed on the inside for resting, and a desk on the outside 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 the room.

There is no separate bathroom.

"To wash up in the morning, go to the bathroom in the building. It's not far from here, but remember to dress neatly before going out even if you go to wash up. If you want to take a shower, go to the public bathroom in the dormitory area. I'll take you to see it later.

Your student status has not been transferred for this semester, so we can only do this for now. We will make normal dormitory arrangements next semester."

Xue Song explained while helping Qiao Yu pack his luggage.

He didn't want to be like a nanny, but he had no choice. Tian Yanzhen left all the work of arranging Qiao Yu to him. This kid was not officially here to report on the students going to school. In addition, the joint training plan had not been officially signed yet, so his

Those doctoral students haven't come to Yanbei University to report yet, so he can only do these messy things himself.

"It's okay. This environment is already pretty good. By the way, does it mean that I will officially enroll in the next semester and 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. When he came to Yanbei University, it was directly upgraded to one room and one living room, which is enough to witness his efforts.

Xue Song glanced at Qiao Yu and replied: "Then it depends on whether your progress during this period is worthy of having an independent study room." "I understand! But this progress must have a quantitative standard.

Right? For example...

"Stop making excuses, just open the first drawer of the study desk and take a look."

"Oh." Qiao Yu opened the drawer honestly, and there was an English magazine lying quietly inside.

"The sample issue that Journal of Number Theory sent you was mailed directly to me at the address I provided. I left a special copy for you. Your paper is on page 27." Xue Song said. "Hey,

Why doesn't my paper have a cover?" Qiao Yu muttered unsatisfied, because the cover was from a guy he didn't know, and there was a paper title underneath, and it wasn't his.

"Haha...did you solve any big problem? Also cover paper! Since you said so, I, Director Shiroda, promise you that as long as you can complete a cover paper this semester, of course the journal's ranking cannot be lower than Journal of Number Theory, this study room will still be yours after school starts!"

Xue Song said angrily.

When he published his first paper, he was really overjoyed when he saw the sample issue sent by other journals. The full sense of accomplishment at that time is still fresh in his memory. Who knew that Qiao Yu actually despised other journals? The editorial office didn't give him a cover...

While Xue Song was talking, Qiao Yu had already opened the magazine, found the page of his paper, took out his phone and took several pictures. Especially the author under the title... Then he clicked on WeChat and sent it to a Zhang to the friend group.

Good news should always be shared with friends first. Although I don’t have time to chat with them now, I can make them envious of my achievements first. I didn’t forget to reply: “Okay, that’s settled, Teacher Xue. , if you can’t be the master, don’t act like an idiot.”

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 come to look through his records.

Xue Song urged impatiently: "Hurry up, I won't read those things of yours. I'm just going to log you in to an internal library account and give you free access to download high-quality papers collected around the world." "Oh, that's it. Ah, thank you, Teacher Xue."

This time Qiao Yu quickly turned on the computer.

Watching Xue Song operating on his computer, he rolled his eyes at him: "Okay, from now on you can directly log in to this account and download it. Take the time to download Professor Robert's paper in the next two days." After that, Xue Song stood up and said, "Let's go, I'll take you to visit the campus and have dinner by the way. Then it's up to you."

.....

Qiao Yu went around Yanbei University. I have to say that Director Tian is really honest.

As expected, the Mathematics Center is very close to Boya Tower and Weiming Lake. Well, it is also very close to the School of Liberal Arts. Some of the buildings in the School of Liberal Arts are quite beautiful, with antique wooden structures. The only pity is that the semester has not officially started yet. Be a little quieter.

Unlike what is said on the Internet, when the weather is good, the shores of Weiming Lake are full of seniors walking together or sitting on the ground. The scenery without people is somewhat less interesting.

However, the former residences of famous people still preserved on campus made Qiao Yu reluctant to leave.

I don’t know if a few years from now, the small room where he lives today will also become the former residence of a celebrity and be preserved forever.

In addition to the courtyard houses, former residences of celebrities and wooden buildings that are full of historical deposits, there are also many modern teaching buildings that look very modern at first glance, many of which are directly named after people. For example, the teaching building in the School of Life Sciences is named after Lu The scientific research building; the building surnamed Li shared by the social and humanities departments... in short, there are many. If you go around, they are all history.

It also made Qiao Yu realize that university is really different from middle school, especially the floor area, which is really too big. However, after walking around for a while, his feet started to feel a little sore before he even finished shopping. Let’s eat together. After the meal, he and Xue Song took a shared bicycle and returned to the Mathematics Research Center.

Returning to the room again, Qiao Yu had two more cards in his hand. One was a meal card, and the other was a card to go to the public bathroom.

Xue Song was about to leave. Before leaving, he hesitated and finally said something: "Originally, I didn't want to dampen your enthusiasm, but there are some things I think I still have to tell you." "Huh?" Qiao Yu looked at Xue Song and said seriously: "You tell me."

"Don't underestimate the world's heroes. Just like the opposite Huaqing, there are also many talented people. You may not have heard of Zheng Zhiqiang's name. He also participated in the International Informatics Competition in his freshman year of high school and was admitted by Huaqing without taking the exam.

Moreover, he independently completed his first paper during the military training of his freshman year and published it at the International Computer Vision Conference. Don’t underestimate this conference. Unlike mathematics, computers are developing too fast, so they value conferences more. Papers rather than journals.

The conference he contributed to is one of the top conferences in computer vision research in the world. By his sophomore year, he was able to attend another top conference on computer vision as an award guest - the IEE International Conference on Computer Vision and Pattern Recognition! And for Awards were given to the best paper authors at that conference.

In addition, the facial recognition registration system currently used by Huaqing was designed by him during his undergraduate period. In other words, Huaqing doctoral students must use a system developed by undergraduates to register their own faces. Face. Similarly, there are many geniuses who have achieved many achievements at the undergraduate level. Yanbei University also has many amazing and talented people. Didn’t there a student at your famous school in Star City prove the Sitapan conjecture in his junior year?

This is just domestic. If you look around the world, there are countless young geniuses. For example, Peter Schultz in mathematics. You can search for his achievements. He won the Fields Medal at the age of 30! Before that, , he has won almost all the mathematics awards he can win!

So it’s okay to be confident, but don’t be too proud! You just started a little higher than others now, and your talent is indeed favored by us, but if you waste your talent because you are too proud, then...Xue Song didn’t Finish what you said.

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

Old Xue was so serious, Qiao Yu immediately became serious and responded: "Teacher Xue, actually I am not proud, I just habitually set the goal higher so that I will not slack off before the goal is achieved. Right? Besides, I don’t mean to underestimate the world’s heroes, I’m just motivating myself!”

"Okay, as long as you have an idea! It's best to take action today. By the way, don't forget to take time to read the paper." "Don't worry, Teacher Xue."

"Okay, let's go now. You can wander around at night, but remember to come back before ten o'clock." "Okay, Teacher Xue."

Although he acted very modestly, after Lao Xue left, Qiao Yu immediately searched the Internet for the two names that Lao Xue just mentioned. Especially Peter Schultz. After all, the other guy played computer and was different from him.

I'm a peer. Then I thought Schultz was really boring, and he even logged in four times IMO.

But these don't actually make Qiao Yu feel particularly amazing. After all, he has already roughly judged the difficulty of the IMO test questions. The key is that after this guy arrived at the University of Bonn, he completed the undergraduate course in three semesters and mastered the master's content in two semesters. This is

It is indeed excellent.

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

Qiao Yu couldn't care less about bragging with two friends named Yu in the friend group. He didn't even memorize those nouns immediately. Instead, he looked for some videos of the so-called Perfectoid Spaces with a serious expression, intending to find out what they were.

What is it that makes the mathematical community pay so much attention to it?

What a coincidence, this stuff was really closely related to the prime numbers he was studying. It even made him feel like his brain was itching.

The concept of Perfectoid Spaces is based on p-adic numbers. Qiao Yu is still impressed by this. He has watched many videos on the analysis of Z functions, and they all mentioned that through the analysis of p-adic functions and their distribution with prime numbers and L-

This aspect of the relationship between functions.

The Perfectoid body created by Peter Schulz is a complete non-Archimedean local field with a p-adic topology, and its maximum ideal is generated by the prime number p. Therefore, the Perfectoid body can also be regarded as a p-adic

A limiting form of numbers, but it can only maintain its completeness under certain algebraic operations.
To be continued...