Everyone is waiting for him to speak and lead him to announce the start of the meeting...
Almost subconsciously, the unfinished words blurted out of his mouth.
After taking the first step, it will soon be the second step.
"Based on what I know about the professor, he won't deliberately remember these things at all."
However, everyone tacitly focused their attention on the whiteboard.
"...I know you probably have a lot of questions to ask, including the Riemann Hypothesis and the future of all of us. So much so that when I first entered the door, I noticed that the man sitting in the front row had half of his butt already. Leaving the chair... I guess he must have a lot of questions to ask me, and he can't wait for a long time."
Under the attention of almost all the world, this report meeting to answer the question of the century finally kicked off...
This bespectacled, thirty-year-old scholar with curly hair comes from the lower reaches of the mathematicians' contempt chain - the field of artificial intelligence. He asked a pointed question as soon as he came up.
After getting the answer he wanted, the Indian guy sat back, and the next person who stood up was a mathematics professor from Columbia University.
Staring at the line of text printed on the whiteboard, Terence Tao, who was sitting next to Professor Fefferman, suddenly spoke with a hint of excitement.
At this point, Schultz paused for a moment.
Astonished by this series of exquisite operations, Yang Yongan finally couldn't hold back and blurted out a word of praise.
Schultz, who was sitting next to him with his arms folded, smiled and said, "It seems that he is playing very steadily."
There were bursts of good-natured laughter from the audience, and the originally solemn air also relaxed a little.
"Isn't this inevitable?" Professor Fefferman gave him a strange look, "Now the entire mathematical community is concerned about this matter. Even if he wants to pretend that nothing happened, it is impossible. "
OK…
"At the end of this report, I will leave enough time to answer all of your questions."
"I'm afraid so," Qin Yue nodded and continued, "For him, solving a solved problem again is a pastime in itself."
"As usual, I should end my nonsense now and start this sixty-minute report, but in view of the special circumstances, I plan to set aside five minutes before the report starts to answer questions from some of the audience so that this audience can Focus more on the report meeting itself. If there are any questions you want to know before the report meeting starts, you can raise your hands.”
Regardless of how shocked the expressions on the faces of Academician Wang Shicheng were after Qin Yue said these words, the two Fields Medal winners of the previous imu conference sitting on the other side of the venue were also stood on the stage. Lu Zhou's series of operations was astonishing.
At this moment, there was a soft sound of the door opening not far away.
A pair of blazing eyes focused on that person.
Lu Zhou looked around the front row of the venue and randomly named someone.
Just like countless report meetings he had completed, Lu Zhou turned around and walked to the whiteboard, picking up the marker placed under the whiteboard.
Zhang Wei, who was sitting next to him, also sighed with a complicated look on his face.
(Note 1: Sir Attiyah himself complained publicly about this matter during the question and answer session of the Heidelberg Lecture. In fact, it is indeed rare for scholars like him to encounter frequent rejections, especially for Arxiv, which even private mathematicians A place where you can be treated with tolerance.
"Has the Riemann Hypothesis been proven?"
"... If you think so, it is indeed redundant. At least as far as I know him, he will never joke about this kind of thing."
The scene of the report meeting was crowded.
…
Lu Zhou, who was standing in front of the whiteboard, paused for a few seconds, then raised the pen in his hand and continued to write rapidly on it.
It's already started!
Xu Chenyang said with a complicated expression: "Incredible... At this speed, does he not need to think at all?"
In order not to interfere with the progress of this report meeting, the IMU Conference Organizing Committee only granted admission to a limited number of media. It is precisely for this reason that the only media standing in this lecture hall at this moment are BBC, CTV, and Colombian TV, which have certain influence on a global scale.
At this moment, Qin Yue, who had been sitting next to him and had been silent, suddenly interrupted.
There were whispers in the audience.
Aksay glanced at him and said, "It's a bit... surprising."
At this moment, the filled whiteboard on the stage had been dragged aside by the staff and replaced with a brand new whiteboard.
After looking around at the audience, Lu Zhou stood on the stage and opened his mouth. However, just as he was about to start the sixty-minute report meeting, a pair of eyes in the audience were full of expectation and confusion. , suddenly made him change his mind and spoke instead.
[…]
More than half of the audience perked up their ears.
Noticing the eyes looking at him, Qin Yue paused for a moment and continued.
It would be fine if he was writing according to the thesis, but he only had a pen in his hand.
Looking at the young scholar sitting back with an embarrassed blush, Lu Zhou paused for a moment and spoke in a relaxed tone.
This approach of not leaving any room for maneuver really surprised many people by his courage and confidence.
“…as if from the void.”
As if looking for an appropriate metaphor, he thought for a long time.
If we keep talking at this speed, I'm afraid it won't even take sixty minutes. Forty or fifty minutes is enough for this great master...
Sitting at the front of the stage, looking up at the flowing brushstrokes on the whiteboard, both Academician Wang and the young scholars sitting next to him, such as Zhang Wei, Xu Chenyang and Yang Yongan, had shock written all over their faces. look.
[Proof: All non-trivial zeros of the Riemann zeta function are located on the straight line Re(s)=1/2 on the complex plane...]
Even if it is only declared in a positive tone.
Resolving previously solved problems as a pastime…
Also looking at the filled whiteboard, Schulz suddenly smiled and said with some emotion.
"He really adjusted the content of the report meeting!"
At this moment, this century-old journey for the glory of the human mind has finally come to an end.
Just as the two were talking, Lu Zhou, who was standing on the stage, did not pause at all. The pen in his hand moved very fast. In less than half a minute, he had already crossed four or five lines.
"Then... that's too exaggerated."
"After solving the Riemann Hypothesis? Where will the subject of analytic number theory go? I mean... Throughout the twentieth century, we have achieved countless breakthrough results in the field of number theory, including Fermat's Last Theorem, more or less Most of them were obtained through the exploration or indirect exploration of the Riemann Hypothesis. But now that the hen that can only lay golden eggs is gone, how should we go about the future?"
Almost everyone is talking about the upcoming report meeting and the paper Lu Zhou posted on Arxiv yesterday.
Tao Zhexuan continued with an excited expression: "No, until a few minutes ago I was not sure whether he was serious, but now it seems that my doubts are unnecessary."
Offstage.
The noisy sound filled the entire venue, almost knocking down the ceiling.
A failed proof of a major mathematical proposition is an extremely serious blow to a scholar's academic reputation, and the final result of several consecutive failures is the loss of everyone's trust, and even the Fields Medal The aura of the Abel Prize and the Abel Prize will be eclipsed by the damage to academic reputation. It can be seen that academia is an extremely realistic place. )
As the calculations were written down line by line, there were more and more calculations on the whiteboard, and the difficulty gradually changed from easy to understand to obscure and complex.
After all, if it succeeds, it's easy to say, but if it fails, it's not something that can be easily dismissed by saying "Sorry, I made a mistake."
Almost before he finished speaking, one hand was raised in an instant.
No wonder this guy is so strong.
Even the largest lecture hall in the Clinthia Hotel cannot accommodate all the attendees present and those who have traveled thousands of miles to arrive in a normal posture.
Academician Wang Shicheng frowned and said, "Is it really necessary to push it on the spot?"
At this time, Schultz finally thought of it.
At the beginning of the 20th century, Hilbert's speech on the question of the century ushered in a new century-long journey for the Riemann Hypothesis.
“That’s not an exaggeration for a professor.”
It was as if the entire proof process had been engraved in his mind, and he was completely aware of it.
There is no special opening line.
After all, judging from the content of the paper posted on Arxiv, it doesn’t look like it can be explained clearly in 60 minutes. There are many complicated deep logics in it, even if the prover himself reviews them, it will probably take a long time. A lot of effort.
For those scholars who are not engaged in analytic number theory, although they are also concerned about the method Lu Zhou used to prove the Riemann Hypothesis and what impact this set of mathematical methods can have on other disciplines, in comparison What they are more concerned about is whether the Riemann Hypothesis proposition itself has been proven.
"This is nothing surprising. We don't understand it, just because we don't know how long he has been wandering in front of the maze. And before making a grand result, he doesn't seem to be happy to write down the staged results in a paper and share them with the public. We see it.”
Lu Zhou thought for about five seconds before speaking.
Staring straight at the whiteboard, Aksay pondered for a while and continued: "I don't understand how he came up with it. I don't know if you can understand this feeling. It's like a light coming from the sky. It's coming, but when we look up we can't find the source of the light."
Yang Yongan looked at him with an moved expression.
Schultz: "What's the surprise?"
Then, he wrote the first line of text on it -
"It's almost time. Please put down those hands that are still raised."
Hearing this sudden sound, whether it was Yang Yong'an, Zhang Wei, Xu Chenyang, or Academician Wang who was sitting there calmly, they all cast unexpected glances at Qin Yue.
As if their mouths were sealed, the entire venue fell silent for an instant.
Many people's faces were filled with expressions of surprise.
"… So fast!"
The most incredible thing is that even just writing, he will also provide a short explanation on some key steps to explain why he wrote this step and what the purpose of this step is. A foreshadowing laid in one step.
In fact, before this report meeting, he was prepared that the 60-minute report meeting might be extended.
Mathematics, a small ship far away from the eyes of ordinary people, has left a magnificent legend behind the ever-changing era of the 20th century.
"Unbelievable..." After flexing his stiff neck, Professor Aksay raised his index finger, touched the glasses on the bridge of his nose, and muttered softly, "Introducing differential manifolds into the complex plane... His method It completely revolutionized my understanding of differential geometry and meromorphic functions."
"Yes, I can responsibly say that from now on, it doesn't matter if you use it as a theorem."
Professor Fefferman opened his mouth, made a helpless expression, and said.
Responding to the expectant looks of everyone in the audience, Lu Zhou nodded.
The reporter carrying the camera stood in the back row of the venue, and there were only two or three cameras placed there.
After glancing at the clock on the wall, Lu Zhou cleared his throat and continued.
"So, I can understand your confusion, my friend. Because those calculations are the same for me. They are not so obscure that they are impossible to understand, but they still give me this unreal feeling. Like Mr. Grothendieck's works, almost every scholar who has studied this field in depth, has delved into the classics that are regarded as the bible of algebraic geometry. However, when we try to follow his train of thought, we have no idea why he came up with this. When you think about it and trace the source, this arrogant idea will most likely come to nothing. It’s like... "
Zhang Wei pondered for a while and then said, "Perhaps, he has already memorized all the steps."
Some people brought stools from other places, some simply sat on the floor, and some even sat on suitcases...
"I can answer your question, but I want to put the answer at the end of the entire report meeting."
"It seems that he really intends to finish the entire paper within sixty minutes."
The reason why Sir Attiyah, who once claimed to have proved the Riemann Hypothesis, frequently encountered manuscript rejections in his later years was largely because he had not done anything "good" in the past ten years and often made confused claims. He proved something but could not give an explanation. Even when he claimed to have proved the Riemann Hypothesis, even Arxiv rejected his manuscript, so that he had to find another way to publish his research results. (Note 1)
The Indian guy sitting in the front row who was chosen by Lu Zhou quickly stood up.
[ζ(s)=2Γ(1-s)(2π)s-1sin(πs/2)ζ(1-s)…]
The door near the podium of the venue opened, and a figure familiar to everyone walked in from outside the lecture hall with steady steps.
"Now, let's get down to business."
Report on the proof of the Riemann Hypothesis…
"It's like those calculations don't belong to this world at all."
But now it seems that he is overthinking.
Generally speaking, the more famous a scholar is, the more he cherishes his feathers. Unless they are the kind of people who have completely let themselves go, few people will claim to have proved a major mathematical proposition in such a positive tone if they are not more than 100% sure.
Compared to the previous question that could be answered with yes or no, this question is undoubtedly a slightly more sophisticated one.
It feels like...