The train driver in the courtyard

Most of the professors below felt similar to Professor Arnold.

They felt that what Li Aiguo introduced was too complicated.

There is knowledge of topology, as well as abstract algebra, functional analysis, and algebraic geometry. Even when explaining some mathematical concepts, the theory of curvature and collapse in astrophysics is introduced.

Are there any subjects that this kid doesn’t understand?
However, there were also some experts in topology who nodded frequently as Li Aiguo explained.

"So that's how it is, so clever, why didn't I think of it?!"

“So this is the true face of the Poincare conjecture”

Professor Lefschetz, who was sitting in the second row, clenched his fists excitedly.

He felt that from today on, topology would take the most important step forward on the basis of its original foundation.

"At this point, the result is obvious. Any simply connected, closed three-dimensional manifold must be homeomorphic to a three-dimensional sphere!"

The sound is crisp!

Speak with confidence!

The tone is passionate!
Li Aiguo put down his teaching stick, took a deep breath, and stood on the podium.

at this time.

There was silence below.

Everyone turned their eyes to Professor Grothendieck.

Even if they understood a proof of this difficulty, they would not be able to make a judgment on the spot.

If anyone can do it.

The only one left is the Pope of Mathematics.

This is not superstition of authority, but trust in mathematical genius.

As everyone's eyes converged, Professor Grothendieck slowly opened his eyes, stood up, and raised his hands - applauding.

"Comrade Li Aiguo, please allow me to call you comrade and thank you for your outstanding contribution to the development of mathematics."

His crisp applause seemed particularly loud in the silent auditorium.

Wow!
Almost instantly, the professors all stood up, and thunderous cries instantly resounded throughout the auditorium.

"Awesome, fuck, fuck, awesome"

Chen Zilan stood in the corridor, his hands red from clapping. Although he was usually quiet, he burst into swear words.

"Ah?" He Yushui woke up from his sleep, and seeing the situation next to him, he quickly stood up, raised his hands, and applauded: "Success! Brother Aiguo succeeded! That's amazing."

At this time, Chen Xueru's expression became calm instead. She just clapped slowly and looked at Li Aiguo with gentle eyes.

"Mr. Iida, this woman should be Li Aiguo's wife, right?" In the corner of the back row, Miss Matsuko, who had never appeared, set her eyes on Chen Xueru.

Jingtian's sharp eyes swept over Chen Xueru and nodded, "According to the information provided by our people, her name is Chen Xueru, she is 21 years old this year, she used to be a tailor in a tailor shop, and currently works as a street office clerk in Zhengyangmen Street Office."

"She's a pretty girl"

Miss Matsuko seemed to be remembering something, a faint smile appeared on the corner of her mouth, and she raised her hands and clapped them gently a few times.

Li Aiguo, who was supposed to be packing up materials and waiting for professors to ask questions, actually asked two students to pull up a new blackboard.

Professor Cheng, who was standing not far away, was sweating profusely. The review meeting was about to succeed. What was Li Aiguo going to do?
This scene also attracted the attention of mathematics professors.

There were whispers of discussion in the auditorium.

on the rostrum.

Li Aiguo fell into deep thought holding a piece of chalk.

A moment later, the chalk flew across the blackboard, and lines of clear formulas and mathematical symbols emerged.

"If any rope in this space can be slowly retracted into a point, then this space must be a three-dimensional bubble?"

"Through the proof just now, we have given a clear answer. This space must be a three-dimensional bubble."

"Moreover, based on the proof, we can also determine that any three-dimensional space can be decomposed into eight standard spatial combinations, and the Poincare conjecture is just one of them."

"."

"The curvature of the manifold is homogenized over time by the differential equation tg=2Ric(g)tg=2Ric(g)."

"If there are nontrivial embedded two-dimensional spheres in the manifold, then cut along those spheres."

"The result of prime decomposition is unique."

Hearing this, Professor Grothendieck, who was sitting below, seemed to have thought of something and his face suddenly changed.

He stood up suddenly and waved his hand.

The discussions in the auditorium suddenly disappeared and there was silence.

The sound of chalk rubbing against the blackboard and Li Aiguo's explanation became clearer.

"In summary, we can draw a conclusion that any three-dimensional space can be decomposed into the following two steps: 1. Cut along the sphere to obtain an indivisible prime manifold.

2. Each basic block must belong to one of the eight standard geometries after being processed by Li Aiguo flow. "

Li Aiguo finished speaking.

Professor Grothendieck could not help swallowing his saliva: "This, this is the classification of three-dimensional manifolds!"

The core purpose of mathematics is to describe the entire universe and everything in it using concise and logical mathematical language and mathematical formulas.

Thus, the discipline of geometry was born.

Various standardized mathematical concepts such as square, rectangle, circle, sphere, etc. have solved many problems in people's production and life.

Many shapes in the universe cannot be described by simple geometric shapes.

At this point, the manifold is created.

Geometrically, a manifold is a complex shape broken down into simpler "puzzle pieces," each of which resembles the familiar Euclidean space.

Orbits can be viewed as manifolds, and orbital dynamics can be described by the equations of motion on the manifold.

The deformations between molecules can be analyzed by nesting them on high-dimensional manifolds.

It can be said that the emergence of manifolds enabled humans to describe more complex things, even physical and chemical phenomena, for the first time.

However, the high abstractness and complexity of manifolds make it extremely obscure and difficult to understand.

What Li Aiguo just did was to classify three-dimensional manifolds.

With this classification, mathematicians can use mathematical language to describe various shapes in three dimensions.

As the Pope of Mathematics, Professor Grothendieck instantly realized the importance of the formulas on the blackboard.

“This is the future of topology!”

Professor Grothendieck's evaluation is not an exaggeration.

The reason why Li Aiguo took this extra step is because the three-dimensional manifold classification derived from the proof of the Poincare conjecture is so important.

in the hereafter.

The research on black holes, gravitational waves, data science and machine learning, robotic motion, computer graphics, and other popular research projects are all inseparable from the classification of three-dimensional manifolds.

Of course.

It's useless these days.

It can only remain on a theoretical basis.

This is also one of the important reasons why Li Aiguo chose to bring out this theory.

At this time, the mathematics professors also saw the mystery of the formulas on the blackboard.

The auditorium was in an uproar in an instant. The professors were whispering to each other, talking among themselves, and exclaiming in amazement.

“This is a revolution in mathematics!
“These formulas are so wonderful, they are like poems written by God himself!”

"Li's results are not only of theoretical value, but are also likely to trigger a chain reaction in the field of physics in the future. Perhaps they can reveal the deeper mysteries of the universe to us."

During the heated discussion, a mathematician wearing a peaked cap raised a question: "Although this achievement is of great significance, its practical application seems to be very limited at present. How can we transform it into actual productivity?"

Li Aiguo glanced at him and recognized this man as Professor Saito from the Imperial University.

Professor Saito felt very aggrieved at this moment.

A few days ago, after realizing that the situation was not good, Professor Saito, on behalf of the Imperial University, decisively put forward Fujiwara Shimura as a scapegoat, which was a temporary way to deal with those old professors in the international mathematics community.

However, the crisis of the Imperial University was not resolved.

Therefore, Professor Saito applied to come to Keijo University in the name of a representative of the Imperial University in order to find a flaw in Li Aiguo's proof.

No defects were found.

Instead, when explaining his paper, Li Aiguo proposed a new theory, which drew applause from the audience.

This further reduces the Imperial University's hopes of hosting the next International Congress of Mathematicians.

That's why Professor Saito had to step forward.

After hearing Professor Saito's words, Professor Grothendieck stood up before Li Aiguo could respond.

He looked at Professor Saito coldly: "The charm of mathematics lies in its foresight. When Riemann geometry was proposed, who could have thought that it would become the cornerstone of general relativity?

When Maxwell unified electromagnetic theory through four differential equations, his mathematical derivation directly predicted the existence of electromagnetic waves.

Li's theory may seem like just empty talk now, but in time it will surely bear fruit in various fields."

If it were someone else, Professor Saito might be able to make a few excuses, but the person in front of him was the emperor of mathematics.

"I'm sorry for being short-sighted!" Professor Saito could only sit back in disappointment.

With Professor Grothendieck's comments, the atmosphere in the auditorium became lively again.

What could be more exciting than witnessing the birth of an important mathematical theory with your own eyes!
The stone that had been hanging in Professor Cheng's throat finally fell to the ground.

"This kid is really capable!"

The review committee passed it unanimously, and even Professor Saito raised his hand.

Professor Grothendieck personally evaluated Li Aiguo's paper on behalf of the review team.

"Li Aiguo's paper is undoubtedly a milestone in the field of topology and even in the entire mathematics community.

It not only solved a world-class problem in our mathematics community, but also used superhuman wisdom to accurately classify three-dimensional manifolds, opening a door for us to explore the unknown world of mathematics."

His voice was clear and powerful, echoing in every corner of the auditorium.

Li Aiguo stood on the stage, humbly accepting the applause and praise from the crowd. After the review meeting, according to the procedure, Li Aiguo will answer questions from major newspapers.

"Mr. Li Aiguo"

AFP reporters rushed to the front.

"Please call me comrade." Li Aiguo adjusted the collar of his Zhongshan suit.

"Comrade Li Aiguo." The reporter asked with a smile, "What do you think about proving the Poincare conjecture?"

Li Aiguo laughed: "Apart from being excited, I have no other feelings!"

The reporter from Xiaomei's family raised his hand and stood up, and asked in broken Chinese: "Comrade Li Aiguo, I heard that your teacher is Professor Hua, and Professor Hua once studied at Princeton University. Does this mean that your achievements are also due to Princeton University?"

After these words were spoken, several reporters from France, Russia, Germany and Sweden secretly curled their lips.

In order to attract talents and grab the credit, Xiaomei's family even ignored their table manners.

Chen Zilan sighed in his heart. That's Princeton. Most people want to have a connection with Princeton.

Now, Princeton is actually trying to scam my junior.

He felt that he should work harder and quickly prove 1+2, otherwise he would not be able to control this junior brother who wanted to reverse the Tiangang.

Li Aiguo rolled his eyes and expanded the question: "Of course, today's achievements are not my own achievement. Without the efforts of countless predecessors in mathematics, I would not have been able to glimpse this tiny mystery of the universe."

Don't you want to share the credit? Then I will share all the credit.

Li Aiguo glanced at the reporter and continued, "I would like to thank my teacher, Professor Hua from the Beijing Institute of Mathematics and Computing, Professor Cheng and Professor Chen from Beijing University, Deputy Director Peng from the Red Star Computing Institute, and the Qianmen Locomotive Depot. By the way, I would also like to thank Princeton."

The reporter looked at the two full sheets of paper where he had written down his thoughts and was speechless for a moment.

Just kidding, you are still a little naive if you want to play this trick on us.

“There are so many people to thank, but fortunately our Princeton’s name is still here.” The reporter smiled awkwardly.

"Comrade Li Aiguo, I would like to interview you." As the interview was about to end, a young woman in a suit and skirt squeezed through the crowd.

Before Li Aiguo could ask, she introduced herself: "I am Matsuko, a reporter from the Asahi Shimbun. I sincerely apologize for the unpleasantness that happened a while ago."

Asahi Shimbun? Li Aiguo was stunned.

Miss Songzi brushed her hair and asked with a smile, "Let me first congratulate you on your successful proof of the Poincare conjecture. You are the first mathematician in Asia to prove a world-class problem. You are our pride. What are your plans for future academic research?"

Li Aiguo couldn't figure out the woman's purpose, so he said casually, "Of course, she wants to find a way to host the World Congress of Mathematicians."

"Really? Then I wish you success." Miss Songzi's expression did not change at all, and she continued, "So, you can win the next Fields Medal?"

"Whether I can win the award will be decided by the judging panel. What I need to do now is to calm down and continue my unfinished research work."

"Yeah."

Miss Matsuko was a little discouraged at this time.

Either of the two questions she asked could have been controversial.

However, the guy in front of him dodged it cleverly.

Miss Matsuko was a little unwilling and prepared to continue asking questions.

At this time, Professor Cheng saw something was going on and hurriedly stepped forward and stood in front of Li Aiguo.

"Everyone, the press conference is over. We have prepared a working meal for you. Please follow the staff to our restaurant for dinner."

Miss Songzi looked at Li Aiguo somewhat unwillingly and retreated back into the crowd.

After the review meeting, the organizing committee organized the professors to visit the customs and culture of the capital.

The reporters sent the news back home, and international newspapers soon published reports.

“The next Fields Medal winner will be from Dongda University?”

"Li Aiguo was praised by Professor Grothendieck and was hailed as the most promising mathematician in the mathematics world."

"Proving the relationship between Li Aiguo and Princeton"

"The ambition of the University of Tokyo is to aim at the International Congress of Mathematicians"

"Imperial University, don't cry for me"

"You kid, it's fine if you don't cause any trouble, but once you do, it's a big deal."

Inside the weather station.

The farmer came back from a meeting in the lake and handed the newspapers to Li Aiguo.

Recently, the old cat has been in charge of the actual operations, while the farmer has been in charge of the command himself.

After several days of hard work, he was more tired than ever.

Li Aiguo stood up and poured a cup of tea for the farmer, handing it to him with both hands: "Teacher, I'm sorry to trouble you."

"Look at what you said. I wish I could encounter this kind of trouble more often!" The farmer took a sip of tea, straightened his face, and said in a low voice: "Haizi gave a high evaluation of this incident and praised you for bringing honor to the country."

When Li Aiguo heard this, he couldn't help but get excited.

"Teacher, this is what I should do."

After chatting for a while, the farmer handed Li Aiguo a cigarette and lit one for himself.

"According to the plan of the Audit Committee, those mathematics professors will stay in Beijing for two days and then leave one after another. During these two days, you should accompany them more and show your hospitality."

The farmer's meaning was very clear. He wanted Li Aiguo to assist the old cat in his work.

After all, those mathematics professors are relatively well-known figures, and if any conflicts arise, it will have a bad impact.

Having Li Aiguo, a rising star in mathematics, by my side can save me a lot of trouble.

Of course Li Aiguo agreed immediately.

The farmer took a puff of cigarette, stood up, took out a document from the drawer and handed it to Li Aiguo: "This is the person you asked Lao Mao to investigate, this Miss Matsuko, her full name is Matsuko Sazuki, she graduated from Imperial University.

After graduation, Matsuko Satsuki joined the Asahi Shimbun as an editor.

According to news from our comrades over there, Matsuko Satsuki is the only daughter of the Matsuko family, a wealthy businessman in Tokyo.

From the surname Matsuko, you can tell that this wealthy merchant’s family was a noble and samurai class in ancient Japan.”

"And then?" Li Aiguo flipped through the documents, and that was all there was to it.

"No more. You know, we don't have many comrades over there that we can truly trust. This is the only information we can find in a short period of time." The farmer also frowned at this time.

You should know that Asahi Shimbun is the largest newspaper in Xiaori.

After only two years of working, Matsuko Satsuki became an editor of a newspaper. This speed of promotion can be described as riding a rocket.

but.

Now her background has not been found out.

This is enough to illustrate the seriousness of the problem.

The farmer pondered for a moment, then called back Captain Zhang, who was in charge of monitoring Miss Matsuko, to ask about the situation.

"Ms. Songzi went to Xiangshan with the old professors today and climbed the Great Wall. She has now returned to the Friendship Hotel. Two of us have been keeping an eye on her and have not found any private contact between her and anyone in Beijing."

Seeing the farmer taking it so seriously, Captain Zhang scratched his head and said, "Why don't we just chase them away? Anyway, whenever I see these people, I get really mad."

"Nonsense!" The farmer frowned and slapped the table. "These people came in through formal channels. If you ask them to leave without any evidence, how do you think they will report when they return?"

After hearing this, Captain Zhang lowered his head and said nothing.

Li Aiguo stepped forward to smooth things over: "Teacher, Lao Zhang is from the Northeast. His father was captured by those guys who were worse than pigs and dogs and taken to the base and used as a log."

Hearing this, the farmer's face did not relax, but he said in a serious tone: "Comrade Zhang Beishan, you must remember that you are no longer an ordinary person, but a glorious meteorologist. You are forged of steel. When it comes to major issues, don't mix in any personal emotions."

Although the farmer's words sounded inconsiderate of his subordinates, they were the truth.

On the special front, there are many meteorologists who have to force themselves to smile even when facing their enemies.

They knew very well that only by completing the mission successfully could they deal the greatest blow to the enemy.

"Yes!" Captain Zhang stood at attention.

"Okay, you continue to monitor Miss Matsuko." The farmer's tone softened a little.

After Captain Zhang left, the organizing committee called and said that they were holding a dinner and Li Aiguo was needed to attend.

"Aiguo, how are you going to deal with Miss Songzi?" the farmer was a little curious.

"Of course, we will block the water with earth and fight the enemies with soldiers." Li Aiguo stood up and smiled.

The dinner was held in the banquet hall of Friendship Hotel.

As the prover of the Poincare conjecture and a strong contender for the next Fields Medal, Li Aiguo naturally became the star of the banquet.

He didn't have to be very proactive, almost all mathematics professors would not miss the opportunity to talk to him.

Even Professor Grothendieck highly praised Li Aiguo's research work in front of many people, and expressed his willingness to support him in the selection of the next Fields Medal.

To be honest, what Professor Grothendieck did was a bit out of line.

But no one at the scene raised any objection.

Firstly, Professor Grothendieck’s prestige is too high.

Secondly, Li Aiguo, who solved the Poincare conjecture, can be said to have basically won the Fields Medal.

Li Aiguo naturally expressed his gratitude to Professor Grothendieck and raised his glass to toast him.

When he returned to his seat, a wine glass was held out beside him.

A pink and white little hand gracefully held the wine glass and handed it over.

"Comrade Li Aiguo, congratulations."

Looking in the direction of the little hand, Li Aiguo was a little dazed.

He saw a sweet-looking female comrade wearing a blue-black Zhongshan suit standing in front of him.

The woman had a ponytail, an oval face, delicate features, big watery eyes, and a small mouth, looking very girlish.

At this moment, she was staring at Li Aiguo with her big black eyes blinking.

"Patriotic comrade, what's wrong?" the woman asked softly with a smile on her face.

"Ms. Songzi, why are you dressed like this?" Li Aiguo was surprised.

(End of this chapter)