Tian Yanzhen knew that Qiao Yu was immersed in the paper and didn't want to disturb Qiao Yu, just like he didn't want to be disturbed by anything else or anyone when he was reading the paper.

Human thinking, especially mathematical thinking, needs coherence. When you are immersed in a certain state and are suddenly interrupted, it is difficult to get back to that state.

This is indeed the case.

Peter Schulz's paper seemed to open a door to a new world for Qiao Yu.

Those complex algebraic symbols and high-dimensional geometric structures have never been displayed in Qiao Yu's mind as three-dimensionally as they are today.

He couldn't even describe the feeling in precise words.

If Qiao Yu had to describe this feeling, it would probably be a counter-intuitive sense of geometry.

After carefully reading this paper, his brain seemed to be occupied by countless high-dimensional geometric spaces. However, these spaces are not as smooth and continuous as the Euclidean spaces that can be seen everywhere in our daily lives.

The divided space, especially the rigid analytical space, turned into geometric objects that were divided and layered infinitely in Qiao Yu's mind. Each dividing line was so precise and subtle.

Qiao Yu couldn't explain why those lines appeared there, but his subconscious told him that these lines should appear there.

It is these complicated lines and geometric figures that make the space no longer continuous, but present a discrete but tight structure.

These structures undergo complex and complex transformations in the P-progressive field.

There is no smoothness and intuition in this geometric world, but only constant reconstruction by various expansion methods, infinite extension, and finally forming a universe.

A universe intertwined with algebraic symbols and geometric figures. Every point in the universe contains infinite divisions and infinite levels of details under a special law. These laws govern these points, lines, and surfaces.

Pushing the construction of this cosmic geometry to perfection....

The only regret is that one night is not enough for Qiao Yu to fully understand even the first paper.

When Qiao Yu woke up from his focused state due to a deep sense of exhaustion transmitted from his brain, it was already 12:23 in the night.

He really felt very tired, even more tired than before when he studied Lao Xue's Diophantine equation until two or three in the morning.

However, considering that he had been riding for six hours today, Qiao Yu felt that it was probably normal to feel tired.

So on the first night when he came to the capital and was admitted to college, Qiao Yu climbed into bed without even washing up. What was even more annoying was that Qiao Yu, who always slept well, had a strange dream that night. In the dream, he came

We arrived in a strange labyrinth world, which is composed of countless strange doors.

Every time Qiao Yu opens a door in his dream, he will see a magnificent space composed of all kinds of strange geometric configurations. This world is so wonderful that even the physical rules followed by a photon are completely different from the real world.

Same. It could be here or there at the same time. Just try the odds?

No, maybe it can be here, it can be there, it can be everywhere.

Until Qiao Yu opened a door again, he suddenly felt a burst of light shining into his eyes, and then subconsciously opened his eyes and woke up...

He forgot to close the curtains last night, and the rising sun just hit his eyes through the window, and he felt dizzy before he even got up.

Qiao Yu quickly got up from the bed, picked up the mobile phone casually thrown beside the bed and took a look. Good guy, it was already eight twenty.

He had never woken up so late when he was in Star City.

Even if I didn't go to bed until 1 o'clock on the 30th day, I still got out of bed at 7:40 the next day.

In this regard, Qiao Yu was different from other children since he was a child.

Other children couldn't wake up, but as long as Qiao Yu slept for more than seven hours continuously every day and took a break for ten or twenty minutes at noon, he would be energetic enough for the whole day.

Although he seemed to have had a dream all night yesterday, and he still clearly remembers those dreams, Qiao Yu felt that he was in good spirits and was not sleepy because of too many dreams, so he simply climbed out of bed. Keeping in mind what Lao Xue said yesterday

explain,

Qiao Yu got dressed and dressed up neatly before picking up the mouthwash cup and toothbrush on the window sill, and then put the towel on his shoulders, then walked out of the room and walked to the second floor around the corner. Yesterday, Lao Xue took him

I've been there, the restrooms and restrooms are on the second floor.

After going up to the second floor and turning to another corner, Qiao Yu just walked into the bathroom. A middle-aged man walked out of the bathroom. The two met face to face, and the other person asked: "Huh? Who are you?"

"Um, I'm..." Qiao Yu was just about to introduce himself when the other person suddenly realized: "Oh, you are the teacher's new student, right? Your name is, Qiao, um, Qiao, what are you doing?"

"Qiao Yu, metaphor of metaphor!" Qiao Yu bit the word metaphor very hard.

Yesterday, when Lao Xue asked him what his identity was, Qiao Yu didn't get off guard.

Today this middle-aged man didn't even remember his name, which really made him lose his guard!

Sure enough, he is still a little Karami.

The middle-aged man said politely: "Ah, yes, yes, Qiao Yu! Hello, junior brother."

Qiao Yu felt a little emotional. As expected, his tutor was all over the world. This guy looked to be in his forties, and he still had to be called Teacher. His seniority was indeed very high.

Of course, Qiao Yu still asked politely: "Excuse me, are you..."

"Oh, my name is Chen Zhuoyang, and I am Director Tian's doctoral student. Because I have to be responsible for some lectures and the like, my office is upstairs. You can come and sit there when you are free." Chen Zhuoyang said politely. Although Qiao Yu

He looked very young and immature, but the instructor specifically mentioned it to him, which proved that he valued Qiao Yu, so Chen Zhuoyang behaved very politely.

However, these words set off a storm in Qiao Yu's heart. Looking at the other party's almost half-bald head and high hairline, he couldn't help but hesitantly asked: "Well, Senior Brother Chen, can I take the liberty to ask?

, how old are you this year?

"I'm? 29? Yesterday?" After saying that, Chen Zhuoyang looked at Qiao Yu's shocked eyes, subconsciously touched the top of his head, smiled to himself and said: "Haha, I haven't graduated yet, my hair is about to fall out! Others say I look like I’m in my thirties, ugh..."

"No, Senior Brother Chen, you are too modest. I believe you even if you say you are forty, really." Qiao Yu couldn't hold it back, and even forgot Qiao Chuan's reminder to not cause trouble when he went out. He was very honest. Said something.

"Well..." Chen Zhuoyang thought for a while and replied seriously: "Junior brother, you have to remember that it doesn't matter whether a man is handsome or not, the key is to be talented. And you haven't entered the threshold of mathematics yet, no I understand how difficult it is to learn mathematics well, but I’m pretty good at it.”

In fact, when Qiao Yu blurted out those words just now, he felt a little regretful. He originally wanted to apologize.

But as soon as Chen Zhuoyang's teaching came out, Qiao Yu couldn't help it anymore: "Well, Senior Brother Chen, I'm really not trying to make excuses. But the author of the paper I read yesterday was already a top professor at a well-known university at the age of 24. You're already 29, and you haven't even graduated with a doctorate yet. His talent is incomparable. I looked at his photos online and he has a lot of hair."

Chen Zhuoyang blinked and asked subconsciously: "Who are you talking about?"

Qiao Yu replied: "Peter Schulz."

Chen Zhuoyang stared at Qiao Yu silently, until Qiao Yu felt a little scared in his heart, and then he slowly said: "Junior brother, thank you for comparing me with the youngest Fields Medal winner! But I It is still recommended that you wait until you start writing your master's thesis.

Come talk to me about this issue again that day.

Although there is no shortage of resources for students who become teachers, you will know how strict the teacher's requirements are in the future. When you cry and come to beg your senior brother, well, I have decided to treat you like air. What did you say? It's no use.

After saying that, Chen Zhuoyang raised his head proudly and left.

The sound of "dong dong dong" going up the stairs reached his ears. Qiao Yu didn't even react yet. He was probably angry, right? Senior Brother Chen is so cute. He doesn't talk trash when he is angry. Even threats are cute. Extremely, and completely intimidating.

The only pity is that it went too fast.

He also wanted to tell this senior brother that if he couldn't even complete his master's thesis, he would definitely choose to drop out of school.

Are you kidding me, a master's thesis can be written if you have the brains? No matter how strict Director Tian is, the master's thesis will not require him to solve a world-class mathematical problem, right?

Muttering these messy things in his heart, Qiao Yu quickly walked into the bathroom, cleaned himself up, returned to the room, put the things back to their original places, then took the meal card and went out to have breakfast. It was more convenient.

He went to the canteen and bought two big buns and a cup of soy milk, and finished them on the way back. Then Qiao Yu opened yesterday's paper again.

I don’t know if it’s because my mind is clearer in the morning. There were some proof processes that I couldn’t understand yesterday, but I felt that I understood them after reading them again today.

I also roughly understand why some Chinese articles call Peter Schulz’s pioneering research a quasi-complete space. Because this theory can really be described as mysterious.

For example, when it comes to etale homology, the simplified calculation framework provided by the complete space. Yesterday, I couldn't understand how this was done. After reading it today, I found that it is nothing more than homology classes in certain complete spaces passing through the complete space.

The structure maps to the etale homology class of classical geometric objects.

In this way, the homology class structure of algebraic varieties can be calculated more efficiently in the p-adic background.

After feeling that he had completely understood these abstract things, Qiao Yu even wrote a related mathematical question on his own paper based on what he couldn't understand yesterday.

After finishing the question, Qiao Yu thought it was cool, so he picked up the pen again and answered the question based on his understanding of the theorems and lemmas given by Peter Schulz in the paper.

After finishing, Qiao Yu instantly felt cute. He looked at the time and saw that it was already half past ten in the morning. So he stood up and was about to go out to exercise. When he turned around, he saw Director Tian and Lao Xue through the window.

They were walking towards the room together. Coincidentally, the two of them were looking at him through the window, so Qiao Yu immediately reacted, ran to the door and opened it.

"Director Tian, ​​Teacher Xue, you are here, please come in quickly."

"Well, I came here just to see you. How is it? Are you still used to it?" Tian Yanzhen asked when he walked in.

"It's okay, I'm used to it. The water for washing my face in the morning is just a bit cold, but everything else is fine." Qiao Yu said truthfully. "Don't you know how to buy a kettle and get some boiling water? This kid..." Lao Xue said to Qiao Yu

Yu's complaints were speechless. "Oh!" Qiao Yu responded honestly.

Okay, it's normal that you haven't gotten used to it when you first came here. You're so young, it doesn't matter if you just wash your face with cold water, you'll be more energetic." Tian Yan said and walked to Qiao Yu's side, falling asleep and noticing the wrong paper he had left next to the computer.

Then they all picked it up with interest. "Well, Director Tian, ​​this is a random question I asked after reading a paper yesterday." Qiao Yu explained quickly.

This proves that he is very successful and started studying as soon as he arrived at Yanbei University.

"Yes, I know." Tian Yanzhen responded casually, and then carefully looked at the questions and the solution process on the manuscript paper.

Xue Song on the other side glanced at the paper on the computer, then turned to Qiao Yu with a confused expression: "What paper are you reading?"

Qiao Yu answered: "The paper published by Peter Schulz in 2011 on the P-radical Hodge theory of rigid analytic spaces and complete spaces."

Xue Song looked at Qiao Yu dumbfounded and said, "Didn't I tell you yesterday to download Professor Robert Greene's paper and study it? You will attend the professor's lecture tomorrow without any preparation? Look at Peter

·What’s Schulz’s paper for?”

"Ah?" Qiao Yu then remembered that Lao Xue had indeed mentioned it yesterday after he got the account for the library software.

After smiling sheepishly, he explained: "I forgot. Didn't you tell me about the deeds of Zheng Zhiqiang and Peter Schultz yesterday before leaving? Zheng Zhiqiang was a computer engineer, so I ignored him. , and then I downloaded Peter Schulz’s paper, and accidentally became fascinated by it.”
To be continued...