Rewrite the Technological Landscape

Chapter 170 The Poincaré Conjecture

"Why didn't you talk about this yesterday?" Qiu Mingcheng asked in a low voice.

Yun Wei spread her hands innocently, "I didn't recognize it yesterday."

Qiu Mingcheng had a look of disbelief, "He participated in the competition with you, and you won him, didn't you recognize it?"

"He didn't have this hairstyle before." Yun Wei said sincerely, "And don't you think foreigners all look the same."

Everyone was speechless, and it was also because it was inconvenient to say more in a meeting at the moment.

Meng Qian found it interesting that the genius is still face-blind, but after thinking about it subconsciously, he seems to be not very clear about the appearance of Westerners.

Attention returned to the stage, where Maregni shared his views on the ABC conjecture. Even though there were several bigwigs on the stage before him, he still had a confident face and a feeling that this is my home field. It is true that there is a bit of rebelliousness that a genius boy should have.

Throughout the morning, there was still nothing to do with Meng Qian and others. Although Meng Qian has read Mochizuki Shinichi’s paper on the ABC conjecture in later generations, he really couldn’t understand it.

So he can't say anything at the moment.

After a whole morning of fighting with the gods, I didn't actually draw any conclusions, and the matter about ABC's conjecture passed like this. Just like what Zhuo Liang said yesterday, this time everyone gathered together for ABC guessing, but not just for ABC guessing.

Everyone had a simple lunch at noon, and in the afternoon we will enter the free discussion session.

The so-called free discussion means that everyone can talk about whatever they want. Of course, having said that, in fact, it is usually a few well-recognized bigwigs who are responsible for raising topics, and then anyone who has researched in this field can come Participate in the discussion, and you can also sit in on the whole process, as if you are here to learn.

However, just as everyone finished their lunch and was about to go back to their room for a short rest, Maregni blocked in front of everyone again.

"Qiu Mingcheng, do you understand what I said this morning?" With Yunwei's previous explanation, everyone found that Maregni had indeed glanced at Yunwei clearly when he was speaking.

"I've been a mulberry tree for a long time." Qiu Mingcheng said to himself.

"Considering that you were often ridiculed by him in school, I think you are more like a blame man." Meng Qian corrected Qiu Mingcheng's statement from the side.

"What do you mean by being the one who takes the blame?" Qiu Mingcheng was naturally puzzled and subconsciously asked.

"In ancient times, there was a great general who wore dragon scale armor, held a giant axe in his hand, and had a big iron pot behind his back. He was able to keep his teammates safe and sound in the midst of thousands of armies. The world called him the man who took the blame."

Qiu Mingcheng looked at Meng Qian's serious face, opened his mouth in confusion, "Is what you said true?"

"Just listen seriously." Meng Qian patted Qiu Mingcheng on the shoulder, "There is no real thing in the world, if there are more people talking about it, it will become true."

Watching Meng Qian chatting with Qiu Mingcheng, Maregni, who realized that he was completely ignored, said angrily, "Qiu Mingcheng, I'm talking to you!"

The two turned their heads at the same time, Qiu Mingcheng was now full of blame, he was a little unresponsive, "What did you just say?"

The breath that Maregni was suffocating felt suddenly relieved, but he was still very good, and he insisted on bringing it up again, "Let me ask you, what I said this morning, can you hear me?" understand?"

"I don't understand." Qiu Mingcheng smiled. He understands Maregni's temper, and after all, we are classmates. He is not a person who likes to make conflicts. In the future, when you go back to school, you will see him when you look up and look down. Just follow him. .

"You are Maregni." At this moment, Yun Wei suddenly stepped forward.

Seeing Yunwei jumping out, Maregni also felt excited, and said in a mocking tone, "Why didn't I see you speak this morning? Could it be that you didn't understand?"

"Long time no see." Yun Wei didn't respond to him, but stretched out his hand and said politely, "I'm defeated."

"Pfft..." Several people wanted to laugh, but they held back abruptly.

Meng Qian looked at Yun Wei subconsciously, and suddenly fell in love with him. When Maregni was holding back his anger and wanted to say something, Meng Qian grabbed Yun Wei's shoulder and led him away.

Seeing this, the others immediately followed, and before Marigny could say anything, they all left.

"Why does this guy hold grudges so much?" Geng Deyou complained after walking away.

"Genius, it's normal to be competitive." Meng Qian thought of Peter's first runner-up in the International Olympiad, and he was also brooding. It's just that Peter's brooding didn't turn his anger on others. "It's the personality of this person that really needs to be suppressed."

"Press it? What kind of pressure do you use?" Qiu Mingcheng said helplessly, and then punched Yun Wei, "I have endured too much for you! You can figure it out!"

Everyone was playing around, so they didn't mention this matter, mainly in everyone's opinion, there is really nothing to do with Maregni.

The free discussion in the afternoon started from one point, and different research projects were put on the table for discussion one by one. The mathematics community basically talked about the seven major problems of the 21st century.

The physics world talks more about dark matter, quantum technology, and the truth about black holes.

At five o'clock, Grigory Perelman, who had been silent all afternoon, finally stepped onto the stage.

I don't know whether it was Grigory Perelman's request or the organizer's operation, but it was obvious that he wanted Grigory Perelman to carry out the finale.

After all, Grigory Perelman's own halo of genius is too heavy, and he claims to have made a major breakthrough in the Poincaré conjecture. At least among the big guys present today, he has no problem as the finale.

However, according to the performance of the later Grigory Perelman, Meng Qian is more willing to believe that this is the arrangement of Kyoto University. Grigory Perelman is not a person who will hype himself, he is a person who can give up. Bonus, eating a piece of bread a day, in order not to be disturbed, he retired from the world when his fame was at its peak so that others could not find him.

When everyone found him again, he continued to study mathematics silently there, and his life was only mathematics.

As for the Poincaré conjecture, the original words are that any simply connected, closed three-dimensional manifold must be homeomorphic to a three-dimensional sphere.

Another thing that sounds very convoluted. Simply put, after a rope has circled the universe, can the rope be retracted smoothly by grasping the two ends of the rope? If it cannot be retracted, why? It is because there are hole? One of the research purposes of the Poincaré conjecture is to study the shape of the universe.

So it's interesting that the Poincaré conjecture accelerated the development of topology.

Grigory Perelman did not talk nonsense after he came to power, and went directly to the topic, "For the Poincaré conjecture, first of all, I would like to thank Mr. Hamilton for proving many basic results of Ridge's curvature flow, and giving a solution. The program of Ston's three-dimensional manifold geometrization conjecture.

On the basis of Mr. Hamilton, my preferred method is still to construct a non-negative curvature metric on the manifold first, and prove that it will eventually converge to a constant curvature metric through the Ritchie flow, because under this idea, we only need to solve Just one question.

That is what we all know as the singularity. And what I am doing now is to solve the singularity problem through the theory of surgery in topology.”

"What a humble genius." Meng Qian listened very seriously, and couldn't help saying, Grigory Perelman almost put all the credit on his predecessors, although in fact, Grigory Perelman Erman is indeed a lucky son standing on the shoulders of giants.

He proved that the Poincaré conjecture was not completed by himself at all. It was his predecessors who helped him pave the way, and he completed the final step of calculation.

But Meng Qian, who is in the academic circle, has also come into contact with a lot, and they are all masters who want to give themselves more credit. Grigory Perelman is just the opposite. I feel that he really doesn't care about fame and fortune.

"It's a bit superficial." Qiu Mingcheng, who was sitting on Meng Qian's right hand, pulled Meng Qian's thoughts back with a single sentence.

"This is something that can't be helped. We can't disclose the results of his proof here." Cao Xiao said as it should.

"Actually, it's not too shallow. He basically explained his proof ideas clearly. What's worse is the calculation process. I don't know if we can see it next year." Yun Wei added.

After a few brief discussions, Grigory Perelman's sharing ended, and then several people put forward their own ideas on Grigory Perelman's sharing just now and conducted live discussions. exchange.

Then, after waiting for a few people, everyone saw Maregni standing up, "I just digested it for a while, Mr. Perelman's proof seems to be based on differential geometry?"

"Yes." Grigory Perelman nodded affirmatively.

"But doesn't this contradict the research basis of the Poincaré conjecture itself? The Poincaré conjecture should be proved by topology, right?

Using differential geometry as a means of proof, even if the singularity problem is solved, is the significance of the study of shape too small? Is this a kind of opportunistic way of proof? "

Grigory Perelman smiled and said nothing.

Meng Qian has noticed this character of Grigory Perelman many times a day today. He often chooses to remain silent when others question him and does not make any response.

Seeing Grigory Perelman like this, Maregni frowned, but there was nothing he could do, and was about to sit down.

"That's because your attainments in differential geometry are far from enough." Yun Wei, who was two seats away from Meng Qian, suddenly stood up.

All eyes subconsciously focused on Yun Wei, including Meng Qian.

"Hmph." Marigny smiled disdainfully, "So what's your opinion?"

"I can hear from Mr. Perelman's sharing that the general direction of using differential geometry to prove the Poincaré conjecture is a more macro-geometric conjecture."

"Geometric conjecture?" Maregni glanced at Grigory Perelman and then at Yunwei, "In order to solve a problem, ask a bigger question, are you sure you understand?"

"So I said, your attainments in differential geometry are far from enough. This is a linear problem, not a plane problem."

"Well, it might be a nice idea, but it's all just a nice idea."

Yun Wei glanced at Grigory Perelman, seeing that the other party didn't intend to speak up for him, so he said, "Isn't it the same for you, can you now prove the Poincaré conjecture from the perspective of topology?" Is it?"

"But at least this is the mainstream." Maregni said proudly, "Proving the Poincaré conjecture with topology is recognized by everyone."

Yunwei looked at Grigory Perelman again. Yunwei's talent is geometry, so he can understand what Grigory Perelman said, but he can't prove it now. Grigory Perelman didn't speak for himself, and he couldn't convince anyone.

"Pedantic." Just when Yun Wei was in trouble, another person stood up, "It's really sad for the academic world that people like you do research."

Such a direct accusation against Maregni on such an occasion naturally aroused his anger, "What do you mean!"

Yun Wei turned to look at Meng Qian who stood up.

"Excuse me." Meng Qian made a gesture to go out.

"What are you going to do?" Yun Wei whispered puzzledly when he walked to Yun Wei's side.

Meng Qian whispered in his ear, "Don't worry, I'm just going out to pretend to be tough."

Yun Wei, "???"

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