Scholar’s Advanced Technological System

At the beginning of the twentieth century, Hilbert's speech on the question of the century ushered in a new century for Riemann's conjecture.

And the boat of mathematics, far from the sight of mortals, has left a magnificent legend under this changing twentieth century era.

At this moment, this century-long journey of human glory has finally come to an end.

With the attention of almost the eyes from all over the world, this briefing meeting to answer the question of the century finally kicked off ...

At the scene of the report, crowds moved.

Even the largest lecture hall in the Klinhia Hotel cannot accommodate all the attendees in the normal posture, as well as those who have travelled a long distance.

Some people brought stools from other places, some simply sat on the floor, and some even sat on the trunk ...

The reporter carrying the camera stood in the last row of the venue, and there were only two or three cameras there.

In order not to interfere with the briefing, the IMU Organizing Committee has issued admission to only a limited number of media. It is for this reason that at this moment only BBC, CTV, and Columbia Television are standing in this lecture hall, which have a certain global influence.

Noisy sounds filled the entire venue, almost overturning the ceiling.

Almost everyone is talking about the forthcoming briefing, and Lu Zhou's paper published on Arxiv yesterday.

Just then, there was a soft sound of opening the door.

The door close to the podium of the venue opened, and a figure that no one would be unfamiliar with, walked in smoothly from outside the lecture hall.

As if being shut up, the whole venue quieted down for a while.

A pair of glowing eyes focused intently on the man.

Everyone was waiting for him to speak, leading him to announce the start of the meeting ...

Looking around at the audience, Lu Zhou, who was standing on the stage, opened his mouth, but just as he was about to start the sixty-minute report, the audience was full of expectations and confusion. Suddenly he changed his mind and started to speak instead.

"... I know you probably have a lot of questions to ask, including Riemann's conjecture, including the future of all of us. So when I entered the door, I noticed that the man sitting in the front row was half ass. He has left the chair ... I guess he must have many questions to ask me, and he can't wait any longer. "

There was a burst of goodwill laughs from the audience, and the original dilute air eased a little.

Looking at the embarrassed blushing young scholar sitting back, Lu Zhou paused for a moment and said with a relaxed tone.

"As a rule, now I should end the nonsense and start this sixty-minute report, but given the special circumstances, I intend to set aside five minutes before the report meeting to answer some questions from the audience so that this audience can Focus more on the report itself. If you have any questions that you want to know before the report starts, you can raise your hand. "

The sentence was almost finished, and one hand was lifted instantly.

Lu Zhou looked around the front row of the venue and randomly ordered a person.

The Indian brother, who was selected by Lu Zhou, sat in the front row and quickly stood up.

The scholar with glasses and curly hair, about thirty years old, comes from the field of artificial intelligence, which is the down stream of mathematicians who despise the chain. As soon as he came up, he raised a sharp question.

"Is Riemann's conjecture proven?"

More than half of the audience in the audience raised their ears.

For those scholars who are not engaged in the analytic number theory direction, although they are also concerned about how Lu Zhou used to prove the Riemann conjecture and how this set of mathematical methods can affect other disciplines, in contrast What they are more concerned about is whether Riemann's conjecture itself has been proved.

Even if it's just a statement of affirmation.

Responding to all the expectations of the audience, Lu Zhou nodded.

"Yes, I can be very responsible to say that from now on, it doesn't matter if you use it as a theorem."

There was a murmur of whispering.

Many people's faces were filled with unexpected expressions.

Generally speaking, the more famous a scholar, the more he cherishes his feathers. Unless it is the kind of person who has completely liberated himself, few people would claim to prove a major mathematical proposition in such a positive tone unless they are more than ten percent sure.

After all, if it succeeds, it ’s okay to say that if it fails, it ’s not something that can be easily uncovered by “sorry to get it wrong”.

Sir Atiyah, who once claimed to have proved Riemann's conjecture, suffered frequent rejections in his later years, in large part because he had not done anything "good" in the past ten years, and often proclaimed endlessly. What he proved but could not explain, even when he claimed to prove the Riemann conjecture, even Arxiv rejected his manuscript, so that he had to find another way to publish his research results. (Note 1)

Such a practice of leaving no room for manoeuvre for himself really surprised many people by his courage and confidence.

After getting the desired answer, the Indian brother sat back, and then stood up with a mathematics professor from Columbia University.

"After solving the Riemann conjecture? Where is the subject of analytic number theory going? I mean ... throughout the twentieth century, we have made countless breakthroughs in the field of number theory, including Fermat's Theorem, It was more or less obtained from the exploration or indirect exploration of Riemann's conjecture. Now that the hen that can only lay golden eggs is now gone. How should we go in the future? "

Compared to the previous question that can be answered with yes or no, this question is undoubtedly a little more level.

Lu Zhou thought for about five seconds and said.

"I can answer your question, but I want to put the answer at the end of the whole report."

Looking at the wall clock on the wall, Lu Zhou cleared his throat and continued.

"It's almost time, please let go of those who are still holding up their hands."

"At the end of this briefing, I will set aside enough time to answer all of your questions."

"Now let's get into the subject."

Just like the numerous report meetings that have been completed, he turned to the boat in front of the white board and picked up the marker pen placed under the white board.

Then he wrote the first line of text on it--

[Proof: All non-trivial zeros of the Riemann zeta function lie on a straight line with Re (s) = 1/2 on the complex plane ...]

No special opening remarks.

However, everyone focused their eyes on the whiteboard.

Report on Riemann's conjecture ...

It's already started!

Off stage.

Staring at the line of text printed on the whiteboard, Tao Zhexuan, who was sitting next to Professor Fefferman, suddenly said with a touch of excitement.

"He did adjust the content of the report!"

"Isn't this inevitable?" Professor Fefferman gave him a strange look. "Now the entire mathematical community is concerned about this, even if he tried to pretend that nothing happened, it is impossible. "

Tao Zhexuan continued with an excited expression: "No, I wasn't sure if he was serious until a few minutes ago, but now it seems my suspicion is superfluous."

Professor Fefferman opened his mouth and made a helpless expression.

"... If you think so, it's really superfluous. At least as far as I know him, he never jokes about such things."

Just as the two were talking, the boat on the stand stood on the stage without any pause, and the strokes in their hands moved quickly. In less than half a minute, they had swept across the four or five lines.

[Ζ (s) = 2Γ (1-s) (2π) s-1sin (πs / 2) ζ (1-s) ...]

[……]

After taking the first step, it was quickly the second step.

As the formulas were written line by line, there were more and more formulas on the whiteboard, and the difficulty gradually became easier to understand and became more complicated.

Sitting at the front of the stage, looking up at the flowing brushstrokes on the whiteboard, whether it is Academician Wang or the young scholars Zhang Wei, Xu Chenyang, Yang Yongan sitting next to him, their faces are full of shock. look.

Amazed by this series of exquisite operations, Yang Yongan finally couldn't hold back, and blurted out a sigh of admiration.

"……So fast!"

Zhang Wei, who was sitting next to him, also had a complicated expression.

"It seems that he really intends to finish the entire dissertation in sixty minutes."

In fact, before the report, he was ready for the 60-minute report that might be extended.

After all, as far as the content of the paper hanging on Arxiv is concerned, it doesn't look like it can be fully explained in 60 minutes. Many of the complex deep logics, even if the prover reviews it himself, I am afraid it will take Some effort.

But now it seems that he thinks more.

Keep talking at this speed, I am afraid that it will take less than 60 minutes, and 40-50 minutes is enough for the great **** ...

Xu Chenyang said with a complex expression: "Unbelievable ... at this speed, does he not need to think at all?"

It would be fine if it was written according to the thesis, but he only held a pen in his hand.

The most incredible thing is that even writing is enough. On some key steps, he will be accompanied by a short explanation to explain why he wrote this step, and why Buried in one step.

It feels like ...

The whole proof process has been engraved in his mind, and it is still the kind that is completely clear to his heart.

Zhang Wei groaned for a moment and said, "Perhaps, all the steps have been remembered by him."

Yang Yongan looked at him with a moved expression.

"That ... that's too exaggerated."

At this time, Qin Yue, who hadn't spoken by the side, suddenly interrupted and said.

"This is not an exaggeration for professors."

Hearing this sudden voice, whether it was Yang Yongan, Zhang Wei or Xu Chenyang, or Academician Wang who was sitting there calmly, they all cast unexpected eyes on Qin Yue.

Taking note of those eyes looking at himself, Qin Yue paused for a moment and continued.

"In my knowledge of the professor, he would not deliberately remember these things."

Academician Wang Shicheng frowned and said, "Is it really pushed on the spot?"

"I'm afraid so," Qin Yue nodded, and continued. "For him, resolving a problem that has already been solved is a pastime in itself."

Yes ...

Resolve the problem you have solved as a pastime ...

No wonder this guy is so strong.

Regardless of how shocked the expressions on Academician Wang Shicheng's faces were after Qin Yue said this, the two last-time imu conference Fields Prize winners sitting on the other side of the venue were also on the stage. Lu Zhou's series of operations were amazing.

"It's unbelievable ..." After moving his stiff neck, Professor Aksai raised his index finger, touched the glasses on the bridge of his nose, and muttered softly in his mouth, "Introducing the differential manifold to the complex plane ... he The method completely overturned my understanding of differential geometry and meromorphic functions. "

Sitting next to him, Schultz with arms crossed smiled and said, "It seems he's playing very well."

Akshay glanced at him and said, "A little ... surprising."

Schultz: "What's unexpected?"

Staring straight at the whiteboard, Aksai thought for a moment, and continued to say, "I don't understand how he figured it out. I don't know if you can understand this feeling, like a light from the sky It came, but when we looked up, we couldn't find the light source. "

Looking at the same whiteboard that had already been buried, Schultz suddenly smiled and said in a tone of emotion.

"It's nothing strange, we don't understand it, just because we don't know how long he has hovered in front of the maze. And before making a grand result, he does not seem to be happy to write the staged results in a dissertation and share it with We see. "

"So ~ www.readwn.com ~ I can understand your confusion, my friend. Because those calculations are the same for me, they are not too obscure to understand, but they still give me this kind of Real feeling. Just like Mr. Grothendieck's work, almost every scholar who has deeply studied this field has delved into the classics of the Bible which is regarded as algebraic geometry. However, when we try to follow his thinking, Such arrogance will most likely fail when he thinks about it and traces its roots. It seems like ... "

With that said, Schultz paused for a moment.

It was as if he was looking for an appropriate metaphor, he thought for a long time.

At this moment, the filled whiteboard on the stage has been dragged aside by the staff and replaced with a brand new whiteboard.

Standing in front of the white board, Lu Zhou only paused for a few seconds, then raised the pen in his hand, and continued to write on it.

At this time, Schultz finally thought of it.

Almost subconsciously, the unspoken words blurted out of his mouth.

"... as if from the void."

"It's like those calculations don't belong to this world at all."

-

(Note 1: Sir Atiyat himself complained publicly during the questioning session of the Heidelberg Report. In fact, it is very rare for scholars like him to frequently reject a manuscript, especially Arxiv, a folk mathematician. Where to get forgiveness.

A proof of the failure of a major mathematical proposition claims that the blow to a scholar's academic reputation is extremely serious, and the failure of several consecutive failures will ultimately result in the loss of everyone's trust, even the Fields Award The halo and the Abel Prize will be overshadowed by the impact of damaged academic reputation. From this we can see that the academic world is an extremely realistic place. )