The top student must be diligent

Then he turned his head and looked to the left and right, and asked, "What do you say?"

Sitting next to him were Zhang Yitang and Maynard. As collaborators who had pushed Zhang Yitang's results to 246, they also sat together at this twin prime number report meeting.

Maynard was also very excited, nodding his head and saying: "Indeed! Hey, Tao, haven't you thought of the problems we encountered on our project? If we use this method, what problems are we facing now? That problem seems to have a chance to be solved!”

"That's what I want to say!" Terence Tao nodded repeatedly.

Zhang Yitang next to him couldn't help but smile and shake his head as he listened to the exciting conversation between the two. Tao Zhexuan was about twenty years younger than him, and Maynard was about thirty years younger, so relatively speaking, he was more mature than him. of vitality.

Although he was also excited about Xiao Yi's step, he did not show as much enthusiasm as them.

Of course, he also got some inspiration from Xiao Yi's step. If he uses this mathematical thinking to think about it, he may be able to make further breakthroughs in some of the difficulties he faces in the Landau-Siegel zero-point conjecture. .

"Perhaps I should get Xiao Yi and study this issue with him?"

This idea came to Zhang Yitang's mind and he suddenly felt that it was feasible.

With Xiao Yi's inspiration that always pops up from time to time, and his strong technical ability, it will definitely be of great help in solving Landau Siegel's zero-point conjecture.

Under normal circumstances, independent researchers like Zhang Yitang, who have made many phased results on the subject, are often not willing to invite others to study with them. After all, once the results are produced, it means Let’s share this honor together.

However, at this time, Zhang Yitang felt that if Xiao Yi was invited to participate in his project, the interim results he had achieved in the past would soon become worthless.

So it's totally worth it.

However, just when he said this idea in his heart, he heard Tao Zhexuan next to him saying again: "Hey, James, do you think we should invite Xiao Yi to join us? I believe he will bring us great benefits. help."

Maynard agreed upon hearing this: "Of course, this is definitely a good idea! In fact, I originally wanted to tell you, but I was just afraid that you would disagree."

"Of course I will agree to this!"

"..."

Hearing the conversation between the two, Zhang Yitang was startled. Xiao Yi might become popular now.

It seems that after today's report meeting is over, he will go to Xiao Yi to mention this matter.

…

Time passed quickly. The most important part of this report was finished, and the rest of the report became smoother.

Of course, Xiao Yi will still try to explain those important steps clearly enough.

That's it, until the end.

"...Finally, we can use the most typical estimation method to complete the estimation of Equation 14.15, and obtain it based on Equations 14.17 and 14.18..."

【lim(n→∞) inf(pn+1pn)\u003c3】

After writing this expression that appeared at the beginning of the report meeting, Xiao Yi put down the pen in his hand, turned around neatly, and faced all the audience present with a smile.

“In 1919, the Norwegian mathematician Viktor Brown proved that the sum of the reciprocals of all twin prime numbers converges to a mathematical constant, which is what we all know as Brown’s constant. It is only approximately equal to 1.902. Undoubtedly, this is a quite small number. The numbers are enough to let us know how rare the distribution of twin prime pairs is."

“But finally, until today, we have reason to believe that among the endless prime numbers, there will always be pairs of prime numbers with a difference of only 2!”

"One of the eighth questions asked by Hilbert at the International Congress of Mathematicians 120 years ago, I thought, that's the end of it!"

Xiao Yi opened his hands, as if announcing to the entire mathematical world.

"Of course, at the end, friends, if you have any questions about my proof, you can ask questions now."

He looked at the more than 1,000 spectators in front of him.

However, as time passed, no one raised their hands to ask questions.

For those who don’t understand, they don’t know what questions to ask.

And for those mathematicians who understand, their questions have been answered in the report!

It was not until a moment later that Faltings stood up first in the first row of seats and applauded, just like he did at the Max Planck Institute of Mathematics.

Other people also woke up from a dream, stood up one after another, and gave the warmest applause.

For the genius who is bowing gracefully on the stage.

Also for this elegant and shocking conclusion!

They really witnessed history!

…

[Please give me a monthly ticket! 】

Chapter 105 The mood is exciting

“What a perfect report meeting!”

"It's so wonderful. He is not only a logical mathematician, but also a natural speaker!"

"Bravo!"

Surprise, praise...

Various praises were spread in the audience.

The mathematicians sitting in the front row all gave this report very high praise.

From any perspective, listening to Xiao Yi's report is much better than listening to other reports.

First of all, in Xiao Yi's report, no matter how complicated the argument is, he can always speak clearly and thoroughly, and his speech speed is slow, and there is almost no big change in the whole report.

For those older mathematicians, such a report is too "elderly-friendly". Like some other reports they have heard, the speaker's speech speed may be a little faster, and once they don't react, they will not be able to keep up.

This is probably the reason why they didn't ask any questions in the end.

Secondly, in Xiao Yi's report, in addition to the important theory of parity classification screening that he finally completed, he can always show some "techniques" that make them shine in the process of argumentation.

What is technology in mathematics?

Simply put, it is to combine and use various mathematical techniques to solve small problems in a process in a more clever, or in a simpler and clearer way.

It is probably similar to doing math problems, but it is different from math problems in exam-oriented education. The math problems in exam-oriented education have basically formed routines. If you follow these routines, you can solve the problem. For the most cutting-edge mathematical problems such as the twin prime conjecture, the math problems you have to face basically have no routines.

Mathematicians can only try to solve them based on the knowledge and methods they have mastered.

To a certain extent, the various new achievements or theories made by mathematicians are completed in the process of constantly solving math problems while verifying feasibility - of course, if they encounter math problems that they can't solve, they will naturally fail.

In Xiao Yi's report, he constantly showed some eye-catching and wonderful mathematical techniques, and easily solved the mathematical problems encountered in the process.

Each of these techniques, or the ideas reflected in them, can almost inspire every mathematician present.

Just like the first paper Xiao Yi published at IHES, Schultz, as the reviewer, directly gave such an evaluation [very amazing mathematical ideas and analysis methods].

And now, Xiao Yi has been able to reach a new extreme in this regard again!

Mathematicians from Princeton University stood together and kept applauding Xiao Yi on the stage.

"Hey, I think only Xiao Yi can get the best speaker this year, right?" Deligne said to Sanak next to him with a smile.

Their annual academic conference selects some awards every year. Of course, the most eye-catching one is the best speaker award. In addition to a certificate, there is also a $10,000 bonus.

As the chairman of the organizing committee of this year's conference, Sanak naturally has the greatest power to decide this award. Although it will eventually need to be determined by voting, his opinion is obviously very important.

Of course, for Xiao Yi's report, it probably doesn't matter whether to vote or not.

Peter Sanak shrugged and said, "Do I need to tell you that? This is the twin prime conjecture! If Xiao Yi is not the best speaker in the end, I guess you will see the headline "Inside the Prize Selection of the Princeton Mathematics Annual Conference" on the news headlines tomorrow."

"Hahaha!" They laughed immediately.

Bombieri corrected him: "It shouldn't happen tomorrow, there are still a few days before the conference ends."

"That's true." Sanak laughed.

...

"The twin prime conjecture will become the twin prime theorem from now on..."

Faltings sighed.

Schultz beside him nodded: "Yes, after so long, I feel that his thinking about mathematics has reached a higher level, and the techniques he demonstrated in the process... If he went to IMO with me that year, I would not be surprised if he could get the special award."

"It's just a little strange... Why didn't he participate in IMO in high school?"

Faltings rolled his eyes: "Do you think everyone is like you, who specially stayed a level in order to participate in IMO?"

"IMO is very important for young people, but for the entire mathematics community, it is not important at all. It can mass produce 40 to 50 gold medals, nearly 100 gold medals, not to mention bronze medals every year."

Schultz smiled awkwardly. Faltings criticized him for staying a level in order to participate in IMO, saying that he wasted too much time.

In this case, he could only say: "I was also a young man at the time! You also said that it is important for young people..."

"Still quibbling?" Faltings glared at him.

"Ahem..." Schultz suddenly wondered, why should he be afraid of Faltings?

He said: "Professor, you don't want to let him know the advice you gave Xiao Yi, right?"

Faltings was so angry that he pointed at the young man.

What a misstep!

...

The mathematicians sitting in the front were amazed because they understood the report, while the enthusiasts or students sitting in the back were applauding, but they only knew the result but not the reason.

Of course, for them, knowing the truth is enough!