Chapter 175 End of Report

"Let i, j, a, b, q, n, and N denote positive integers. The letters x, y, z, and c denote real numbers, p always denotes a prime number, and pn is the nth prime number. Here, ^p denotes the first members are twin prime pairs of p, and ^pn represents the nth twin prime pair."

"when (a,q)=1 and 0"

As Lin Xiao's narration began, everyone present was also concentrating on thinking, and followed Lin Xiao's train of thought.

Regardless of whether they found any mistakes in Lin Xiao's previous thesis, a worldwide academic report is absolutely indispensable for the proof of an important theory, which is a necessary process.

Of course, before Lin Xiao got into the real point, many mathematicians present did not put all their thoughts on Lin Xiao's discussion, but on Lin Xiao.

They looked at the young man on the stage. Among them, many mathematicians were Lin Xiao's 'hard fans', because they had participated in all the three reports Lin Xiao gave.

The first time was at the International Congress of Mathematicians in Rio de Janeiro, the second time was at the Goldbach Conjecture Reporting Meeting in the Great Hall of the People in Beijing, and the third time was here.

Every time, Lin Xiao can bring them results that shock the mathematics world.

And the time span of these three reports has already been two years. Looking at the young man on the stage and listening to his words, they even felt a sense of familiarity like an old friend.

In the bottom seat, the second row, the professors from Princeton University sat together, Peter Sarnac, Henrique Pompieri, Pierre Deligne, and several Princeton University Famous mathematicians are also here.

Pompieri sighed softly: "It feels like this young man has grown up a lot."

"Yes."

Sanak also nodded with a smile.

Among them, it was Sarnak who communicated with Lin Xiao for the first time, because Lin Xiao's first paper was submitted to the "Annual of Mathematics", and as the editor-in-chief of "Annual of Mathematics", Sarnak took on the responsibility. Review work.

As for the first time I met Lin Xiao, it was Pompieri. At that time, Lin Xiao was still participating in the IMO, and there was still a youthful look on his face that had not faded.

Now, Lin Xiao is the prover who has successively completed the four major problems in the mathematics world, the pioneer of many theories and theorems widely used in the academic world, and Lin Xiao, who is still being studied hard by the algebraic geometry circle, but has always been difficult to make effective progress. The creator of the conjecture.

At this time on the stage, he spoke neither slow nor fast, and his breath was steady, including the steps under his feet no longer always took small steps like before, but strode out in big strides, confident and generous, facing the whole world. There were more than 1000 mathematicians present, without any timidity.

And his face has become more mature.

"So, we can be regarded as watching him grow up."

Deligne also smiled.

The eyes of the three old men were full of remorse and relief, and at the same time, they also felt that they were getting old. The youngest among them was Sanak, but he was 67 years old this year, and the oldest Pompi Eli is 80 years old.

"You old guys, are you feeling emotional now?"

A familiar voice sounded from behind.

They were stunned, turned their heads to look, and couldn't help laughing and scolding: "Oh, Andrew, why do you always sit behind us? Then you come out while we are chatting?"

Andrew Wiles spread his hands: "According to the theory of relativity, I can also ask you this sentence in reverse, why do you always sit in front of me?"

The few people in front rolled their eyes, and it was based on the theory of relativity.

"Come on, it's rude to chat in someone else's lecture."

Pompieri waved his hand and stopped talking.

The others stopped talking and continued to listen to Lin Xiao's narration.

……

At the back of the conference hall, the few media that had been approved to come here were currently setting up cameras behind them to record the report.

In addition to the French local media, these approved media also include some other international media, and among them, Huaguo CCTV is also listed.

Several reporters from CCTV were able to come here, naturally because of Lin Xiao.

They sat a few rows back, and they couldn't understand anyway.

"The last time I saw him, he proved Goldbach's conjecture. Now that I saw him, he proved the twin prime number conjecture. Do you think Goldbach's conjecture is difficult or this conjecture is difficult?"

Female reporter Zhang Ning looked at the mathematical formulas on the PPT, feeling a little numb in her head, and finally turned her head and asked.

Another male reporter, Sun Xiang, said, "Who knows? Maybe it's this difficulty? After all, he first proved Goldbach's conjecture."

"You two don't know how to check the information."

Chen Ming next to him said angrily: "Goldbach's guess is more difficult, you guys, you have to be prepared to be a reporter."

Zhang Ning chuckled: "Anyway, Boss Chen is going to interview Lin Xiao, let's be lazy."

Chen Ming shook his head, too lazy to argue with them.

"By the way, isn't there an award in mathematics called the Fields Medal, which is called the Nobel Prize in mathematics. Do you think he can win this award in the future?"

"You don't need to ask, it's definitely possible." Chen Ming said, "But I just don't know if it's 2022 or 2026."

"If he gets it in 2022, he'll be 22 then, right?"

"Yeah, that's the youngest Fields Medal winner..."

Chen Ming nodded with emotion, and then looked at the young man in front again, with envy in his eyes.

He is not envious of Lin Xiao's current achievements, but envious of Lin Xiao's ability to realize his unrealized dream.

That is to be a mathematician.

In other words, there are countless people in the world whose childhood dream is to become a mathematician.

Playing with the numbers and symbols, researching things that no one else can understand.

Especially the students of Huaguo.

After all, in Huaguo's education system, the cultivation of mathematics starts from the first grade of elementary school.

If the dream of girls when they grow up is to become a writer and musician, then the dream of boys when they grow up is not only astronauts, but also the choice of mathematicians.

It's a pity that as they grew up, the math problems became more and more difficult, and finally dispelled their passion.

Even Chen Ming, who claimed to be a math genius back then, was number one in mathematics in his class. Even when he first went to college, he was still studying mathematics. After a year and a half of study, topology and Differential geometry made him give up treatment directly. Even if he studied hard, he could not make up for his ability in this area. So in desperation, he had to choose to drop out of school and re-read for a year in the third year of high school. When he volunteered for the second time, he studied After entering the foreign language department, after some twists and turns, he came to Paris as a reporter for CCTV.

So he was very envious of Lin Xiao being able to realize such a dream.

What a perfect life.

"Boss Chen?"

Seeing Chen Ming's absent-minded look, Zhang Ning couldn't help pushing him, "What good things are you thinking about?"

Chen Ming came back to his senses, and then smiled and said: "I just hope that Huaguo can have a few more geniuses like this."

Hearing what he said, Zhang Ning couldn't help but nodded, "Yes! It would be great if there were a thousand of them."

The chief designer of the last century once commented on Chen Jingrun: It would be great if there were a thousand Chen Jingruns in Huaguo.

And if they have so many Lin Xiaos, will they become a super power in mathematics beyond the United States and France?

The three of them shook their heads in unison. If this kind of thing happened, it would really be a knife cut to God's ass.

……

"To find N(S1, Sk1...SkL), we write N(S1Sk1...Skl)=∑d|pln(AdPl)..."

"After calculation, we finally get φ2(N)=n∑d|nμ2(D)d."

"And here we're going to really bring in ideas from geometric topology."

As Lin Xiao's narration came to the fore, all the mathematicians present also paid attention.

Speaking of this, Lin Xiao paused, and continued: "Although I have completed all the arguments in detail with calculations on pages 45 to 47 of the paper, in order to let everyone better understand my theory, I will continue to Next, I will perform the calculation again on the blackboard to facilitate everyone's understanding."

Hearing what Lin Xiao said, the eyes of some people present who are not very good at calculating are brightened. Many of them have problems with these calculations. Now Lin Xiao plans to recalculate, which is obviously a good thing for them .

In addition, there were many students from French universities in the audience. Hearing what Lin Xiao said, his eyes lit up.

Through Lin Xiao's calculation process, they can also understand it better.

However, the facts seem to be somewhat different from what they thought.

When a blackboard was pushed out by the staff, Lin Xiao began to write on it.

"Let F be the basis of the associated I-plex Tf, and let Pf be the set of rings embedded in S that are the isotopic, REL boundaries of the αVTf components."

"Now, we call these rings the polishing trajectory of Tf. Next, our calculation will start. It may be a little complicated. Please be patient."

[SW^x(t, sp/n)=p*SWx(kx)+n·∑SW...]

……

Lin Xiao portrayed the line-by-line formulas, they were so beautiful that the audience who remained patient fell into the confusion of beauty once again.

At first they thought that through Lin Xiao's on-the-spot calculations, they could at least understand, but the fact is still cruel.

Except for a few people who are more savvy, people who didn't understand it before still can't understand it.

It's like when I was an undergraduate student, I made all kinds of preparations to take a good algebraic geometry class, and then came to the first class of algebraic geometry with confidence, but in the end I was still rubbed on the ground by this subject .

Lin Xiao's narration obviously didn't leave time for those who didn't understand. When they just lowered their heads to think about how a certain line was obtained, when they looked up again, the blackboard was already full. And Lin Xiao is ready to turn it over—the reverse side of the blackboard can also be used.

Immediately, people like them who didn't understand finally gave up on understanding and chose to be bad. It's better to ask your teacher or something after you go back.

Of course, Lin Xiao didn't care whether these people understood it or not, as long as the top group of people in the mathematics world understood it and didn't point out his problem, that would be fine.

However, he has already achieved perfect interpretation in the paper, so naturally there will be no more mistakes in the report.

In this way, while listening to the mathematicians present, or the first-class mathematicians sitting in the front ten rows, he finally ended this part of the narration.

"So, we managed to transform the whole part into a problem in the domain of topology."

"Next, we introduce the Green-Tao theorem, and describe this theorem in terms of topological geometry, we can get..."

Until here, most of the mathematicians sitting in the first ten rows raised their heads and leaned back in their chairs.

They have no problem anymore, and they can deduce the following things by themselves.

Lin Xiao's report still made them overwhelmed, just like the original Goldbach's conjecture report.

And then, there was no more suspense. Just like that, the report slowly came to an end.

"...in this defined infinitely long topological space, we can undoubtedly deduce that there will be two points with a distance of 2 that always pop up and never disappear."

"And these two points represent our twin prime numbers, so we can deduce without any suspense that twin prime numbers will always exist in the endless natural sequence."

"At this point, my proof is over."

"This is the "Mona Lisa" of mathematics I have drawn, I hope everyone is satisfied."

Lin Xiao bowed slightly, and the smile on his face was calm but self-possessed.

And the people present have already stretched out their hands and sent congratulatory applause.

Chapter 176 Interview, cost recovery

This report is over.

Like Goldbach's conjecture, none of the people present asked questions.

For such an important academic report, it is often the most fatal flaw in the theory, if any questions are to be raised.

And the only ones who are qualified to ask questions are the top mathematicians sitting in the front row.

If they have no doubts about the proof process, then this academic report is considered complete.

As for those other people who still don't understand the process because of their limited knowledge, their problems are not a problem of this theory. It is their own problem, not Lin Xiao's problem.

After all, academic reports, not classrooms.

Amid the applause of everyone, Lin Xiao left the stage and walked towards the mathematicians he was familiar with.

The first is Professor Laurent Laforgue, the 02 Fields Medal winner.

"Professor Laforgue, we meet again now."

"Hehe, yes, every time I meet you, you can bring me a surprise."

"It's my honor." Lin Xiao said with a smile, "By the way, how is your work at Huawei?"

La Forgue smiled and said, "Very good, the treatment is good, and I can continue to do the research I like."

"That would be the best."

La Forgue smiled and said, "It would be even better if you can bring another surprise when we meet again next time."

At this time, another professor walked by and said to Lin Xiao with a smile, "Lin, you did a good job."

"Professor Werner."

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