Scholar's Cultivation System Panel
Chapter 295 A carnival belonging to the mathematical community
As Xu Yun's voice sounded in the lecture hall, everyone present fell into silence at first, and then responded with thunderous applause.
Although the proof process has not been officially confirmed, it is admirable that it can be so complete and reasonable.
You must know that no one can do this alone.
If everyone was a little worried because of Smith's words just now, then after seeing the proof process on the writing board, they were suddenly full of confidence and felt that the Riemann Hypothesis might really be proven.
Even if someone had other ideas, their voices were muffled by the applause.
I have to wait for now.
This included Smith, whose face was already very gloomy.
The applause in the lecture hall lasted for nearly two minutes. When it finally subsided, Smith lost his patience.
He still stubbornly insisted on his own point of view and believed that Xu Yun's proof process was not tenable.
"I don't agree with this proof process. It can't be established."
Smith stood up from his seat and shouted loudly. Those who didn't know might have thought he had found the problem.
Xu Yun saw all of Smith's performance and was not surprised at all by the current situation.
Smith was willing to come to Jingzhou City because he was laughing at him.
How can you make yourself a joke?
It's a pity that Xu Yun is so confident in his proof process that he even wants Smith to verify it.
So at this time, he simply made a gesture of invitation.
"Professor Smith is willing to verify my proof process. Xu Yun would also like to express his gratitude to you on behalf of the mathematical community."
After saying that, he turned his attention to the people sitting there.
"In addition, everyone is welcome to verify it at will and witness the birth of this milestone in mathematics."
"I will definitely overturn your proof." Smith dropped this sentence and went directly to the stage for more detailed verification.
But with Smith taking the lead, others couldn't hold back their excitement and stepped forward to observe Xu Yun's proof process up close.
Some people even directly used the computer next to them to verify the certification process.
For a well-known issue like the Riemann Hypothesis, it is impossible to draw a conclusion in a short time, but it can be overturned as long as loopholes and errors in the proof process are found.
In this way, what Xu Yun did would be meaningless.
Just as the crowd began to run towards the stage, Deligne and Witten below finally breathed a sigh of relief.
“I knew this guy wouldn’t disappoint, and from the looks of it, there shouldn’t be any problems with the certification process.
"Although I say so, it's not the time to be happy right now. Let's go up and have a look." Faced with the joy on Witten's face, Deligne responded, then stood up and walked up.
Witten naturally followed suit.
Hundreds of well-known mathematicians from all over the world are squatting on the ground to check calculations without caring about their appearance at this moment. It is definitely the most spectacular and shocking scene in the history of mathematics.
I'm afraid it's basically impossible to see it again in the future.
The reporters and media gathered in the lecture hall did not forget to take pictures of this scene.
It would be a good time to use it as a news cover to promote the proof of the Riemann hypothesis.
But it is definitely incomprehensible to them, and now they can only stand there obediently and wait for the final result.
Even a preliminary verification takes a lot of time and energy for mathematicians.
Beijing University also made preparations in advance for this, and even sent food and water directly to the lecture hall at noon.
Only very few people stopped to eat.
Who can become a well-known mathematician in the world who is not very obsessed with mathematics.
Especially the uncharted territory of the Riemann Hypothesis.
When verifying Xu Yun's proof process, the whole person was as satisfied as a sponge that had finally absorbed water.
In this way, as time gradually passed, more and more people showed excitement and excitement, and even began to discuss with each other and express their judgments.
"The application and steps of these formulas are so exquisite, and they perfectly explain the Riemann hypothesis."
"I also think this proof process is reasonable, and perhaps we are really witnessing the solution of the Riemann hypothesis."
"Verification is correct."
"Professor Xu really proved the Riemann hypothesis and his name should always be engraved in mathematics."
"Being able to witness the solution of the Riemann hypothesis, this trip was indeed not in vain."
"The proof process was reverse-verified through a computer, and there was no problem with the results."
…
As the saying goes, some people are happy and some are sad. When Zhang Yi, Tang, Qin Xiangxin and others felt great honor when they heard the discussions of the mathematicians around them, Smith's face became extremely ugly.
He has researched on difficult problems in number theory and mathematics, which is why he insisted on attending the exchange meeting.
I just believe that I can definitely find out the problems in Xu Yun’s proof process.
However, there is a premise for this situation, that is, there must be loopholes or unreasonable aspects in Xu Yun's proof process.
However, the goddess of luck obviously did not favor him this time.
After trying several methods of verification, he found that the results obtained through Xu Yun's proof process were all correct. Although he could not believe the results, reality was reality.
Although it was very cruel to him.
"This is impossible. How can the Riemann Hypothesis be successfully proven?"
"There must be something wrong inside."
"I haven't found it yet."
"Yes, it must be that I haven't found the error yet."
Smith muttered to himself, wondering if he was a little crazy because he couldn't accept this.
His eyes were fixed on the results of the computer verification, and his whole mood could not be described in words.
While he was still immersed in his own world, Deligne and Witten walked towards Xu Yun with smiles on their faces.
"Congratulations Xu."
"You proved the Riemann hypothesis, which is simply a miracle in the world of mathematics. I believe that the development of mathematics will be smoother and more profound because of you."
The two of them stopped in front of Xu Yun. Witten couldn't hold back the joy in his heart and was the first to congratulate him.
Obviously he has approved Xu Yun's proof process.
Although Xu Yun was confident in his proof process, he was still happy to hear the recognition from others. He immediately stretched out his right hand and shook Witten's hand to express his gratitude.
"Thank you Professor Witten, I will continue to work hard."
Just after finishing the previous sentence, he added: "However, it will take two years of verification before it can be officially announced that the Riemann hypothesis has been proven."
According to the proof process of the world's mathematical problems, after this paper is published in the Mathematics Annual, if no one can overturn the proof or point out the problem within two years, then the Riemann Hypothesis will officially become a theorem.
At that time, the mathematical problems raised on the Riemann hypothesis will also be solved to promote the development of mathematics.
After all, as the prover of Hodge's conjecture and Goldbach's conjecture, he is already very experienced in this kind of thing.
Deligne did not give Xu Yun a chance to keep a low profile at this time, and immediately answered after hearing these words.
"It's just a process. I don't think anyone can overturn your proof process."
This shows Deligne's trust in Xu Yun.
This word reached the ears of other mathematicians around him, and they all became secretly excited, knowing that a new era of mathematics was coming.
It is worth mentioning that when Xu Yun proved Goldbach's conjecture at the International Congress of Mathematicians last time, Minter did not take the initiative to express congratulations because of his own emotional problems.
This time Xu Yun proved the Riemann hypothesis again. For him, he was already numb.
In addition, I had completely thought about it and no longer pursued proving the world's mathematical problems, so I didn't have any other options to consider and walked directly towards Xu Yun's location.
After stopping a few dozen centimeters away, he congratulated heartily.
"Congratulations on solving the Riemann hypothesis again. I think it won't be long before the Clay Mathematics Institute will award you a prize."
"Thanks."
Xu Yun answered with a smile on his face.
Minter's words also reminded him of the fact that the Riemann Hypothesis is one of the seven major world mathematical problems of the millennium released by the Clay Mathematics Institute. The prover of the Riemann Hypothesis can receive a huge bonus just like the Hodge Conjecture.
Although he was on the security building's focus list, no one else in the Clay Mathematics Institute except Minter chose to participate in this exchange meeting.
However, I believe that when his paper is published and the Riemann Hypothesis is officially proven, the bonus will definitely be indispensable.
Unless the Clay Mathematics Institute wants its reputation to be completely ruined.
If this is the case, it might be a good thing for the Institute for Advanced Mathematics at Peking University.
It just replaces the Clay Mathematics Institute's position in the mathematics world.
It's not that he lacks this bonus, after all, there's no point in not wanting to get what he deserves.
At that time, it can also be placed in the Xu Yun Mathematics Fund.
When things have progressed to this point, it can be said that everything is going very smoothly, but Smith seems to be a little out of control emotionally.
Suddenly he walked up to Xu Yun and shouted: "The Riemann hypothesis has not been proven at all. This proof process is not valid."
As Smith finished speaking, the expressions of many well-known mathematicians around him immediately dropped.
They have all expressed their attitudes and recognized that Xu Yun's process of proving the Riemann hypothesis is feasible. Now that Smith has said this, he is questioning their judgment in public.
Therefore, before Xu Yun could open his mouth to refute, the voice of Deligne standing next to him came out.
"Professor Smith, you are also a mathematician. You should know that if you think it is not true, you must find an argument."
"It's not just words."
Deligne's status in the mathematics community is definitely considered authoritative. Even though Smith serves as the Secretary-General of the International Mathematical Union, his level of qualifications is still incomparable.
Naturally, Smith will not be given face.
Being criticized like this in front of many well-known mathematicians around the world, even Smith had no shame in staying any longer.
Since he could not find the problem with the proof process now, he mobilized manpower to conduct careful research. He did not believe that Xu Yun could really prove the Riemann hypothesis.
The thought stayed here, and finally he suppressed the anger in his heart.
Then he turned around and left without saying anything more.
Unfortunately, the words of Hofer, editor-in-chief of the Annals of Mathematics editorial board, still reached his ears.
"I immediately contacted the journal headquarters and asked them to publish this proof of the Riemann hypothesis as soon as possible."
His steps were almost unsteady due to anger.
Xu Yun looked at Smith's leaving figure and didn't say much.
After all, he has indeed proved the Riemann hypothesis, and he is not afraid of the other party verifying it, no matter what method is used.
With Smith leaving midway, the atmosphere in the lecture hall became much more harmonious.
In the following time, Xu Yun explained his proof process in more detail, answering the questions of some mathematicians present.
At the same time, it virtually proves that this is the best proof process of Riemann Hypothesis.
——
Since the mathematical paper on the proof of the Riemann hypothesis, Xu Yun, had already been written, and Hofer's efficiency was indeed amazing, the paper was published on the Annals of Mathematics website almost the same day.
In addition, the paper journal will also be published in the new issue.
Reporters, news media, etc. who had been waiting eagerly at the venue reported immediately after confirming that the Riemann Hypothesis was proven.
In a very short period of time, the news spread rapidly throughout the entire network. In addition, well-known mathematicians such as Deligne Witten posted on their personal accounts to confirm the proof of the Riemann hypothesis on a public platform. The entire mathematical community was plunged into to a huge orgy.
As for domestic netizens, they are naturally even more delighted. Even if they don't understand much about mathematics and the Riemann hypothesis, they are still happy that Xu Yun has achieved such a great achievement.
After all, as Xu Yun, he is destined to represent the domestic mathematics community.
Especially when I think about how Xu Yun was banned from participating in the Mathematicians Conference some time ago, and now he has solved another world mathematics problem.
It is simply a public slap in the face of the International Mathematical Union, and key alliances can only bear it.
After related topics topped the list of hot searches on major platforms, happy comments from netizens can be seen everywhere.
"I have long said that Professor Xu is absolutely fine. After all, his first talent was in mathematics."
"Previously, many people on the Internet said that Professor Xu shifted his focus from mathematics because it was difficult for Jiang Lang to achieve anything. This time, people proved the Riemann Hypothesis and asked these people whether their faces hurt."
"It's inappropriate to waste such a strong talent on theoretical mathematics. Professor Xu's approach is correct."
"Who said Professor Xu couldn't prove the Riemann hypothesis? He probably has nothing to say now."
"It's all Riemann's theorem from now on."
"I heard that there are many propositions in mathematics based on the premise that the Riemann Hypothesis is true. This time the Riemann Hypothesis has been successfully proved, I am afraid there will be many high-quality mathematical papers coming out in the future."
"I can guarantee that Professor Xu's paper proving the Riemann hypothesis will become the most cited in the mathematics community."
"This is the best era for mathematics. I just want to ask the International Mathematical Union if their face hurts."
…
at the same time.
The International Congress of Mathematicians is held at the venue.
In the afternoon, Daisuke Aono prepared his own one-hour mathematics report according to Smith's arrangement.
He deliberately selected his most proud research on geometric measure theory.
Wearing a navy blue suit, he stood on the reporting stage. Although he saw that the people sitting under the stage were all younger faces, he didn't care but felt happy in his heart.
The slightly famous mathematicians all went to the Mathematics Exchange Conference in Jingzhou, and the International Congress of Mathematicians could only find some doctoral students to make up the number.
It is no exaggeration to say that it takes a lot of effort to find a mathematics professor.
But it was precisely because of this situation that he had the opportunity to give a report. Otherwise, he would not have had the opportunity to take the stage based solely on his research on geometric measure theory.
"What I bring to you today is the study of geometric measure theory. You can also discuss it with me privately later."
After finishing his opening remarks with a smile on his face, Daisuke Aono found the courseware he had carefully prepared and planned to officially start today's report meeting.
But just when he was about to speak, there was a sudden commotion below.
He immediately frowned.
I thought that even though many of the people who attended the lecture had PhDs in mathematics, they probably didn’t even follow discipline.
After all, it is very impolite to interrupt others during a report meeting.
After a slight hesitation, when he was hesitating whether to give a verbal reminder, he heard the commotion coming again.
And this time he finally heard the content of the words clearly.
“The Riemann Hypothesis has really been proven, oh my god!”
As this sentence reached his ears, Aono Daisuke was startled for a moment, then quickly recovered and his face became very ugly.
He always believed that it was impossible for Xu Yun to prove the Riemann hypothesis without long-term study of the Riemann hypothesis. What's more, Smith did not hesitate to go there in person to ensure that he could find out the problems in Xu Yun's proof process and overturn it. But what did he hear now?
Has the Riemann Hypothesis been proven?
A lot of thoughts flashed through his mind quickly, and he didn't dare to hesitate and looked at the blond boy who spoke.
"What did you say?"
"There is already news on the Internet. Just now, Professor Xu's proof process of the Riemann Hypothesis has been recognized by hundreds of well-known mathematicians around the world. Even Professor Smith, the secretary-general of the Mathematics Union, has successfully verified it."
"This is the biggest thing that has ever happened in mathematics. It's a pity that I couldn't witness it with my own eyes."
The blond boy didn't hide anything when asked, and immediately told the news he knew.
While speaking, he did not hide the excitement on his face at all.
and veiled regret.
But this result was difficult for Daisuke Aono to accept, especially when he learned that Smith's verification was successful.
He almost subconsciously retorted.
"What you said is completely impossible. That Xu Yun has never done in-depth research on the Riemann hypothesis before. How can he prove it?"
But before he could finish his words, another person at the scene replied angrily:
"Professor Aono."
"Your views probably do not represent the mathematics community. Professor Xu's proof of the Riemann hypothesis has been confirmed by Ligne Witten and other authoritative professors in the mathematics community."
"This should be something to be happy about."
After leaving these words, the other party obviously lost the mood to continue listening to the report, so he simply got up and left.
As for others who have been attracted by this news for a long time, they naturally want to learn more about the situation quickly and study this paper that proves the Riemann hypothesis.
It would really be a waste of time to stay and listen to a study on geometric measure theory.
So in just half a minute, only Aono Daisuke himself was left in the huge lecture hall. It can be said that this is the first time in the history of mathematics that this has happened.
The whole person suddenly felt like a deflated ball, and the expression on his face was completely replaced by despair.
…
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