Rule department scholar

Although the explanation is not very detailed, as long as you accept some conclusions that skip the simple process, you can still try to understand it.

After Zhao Yi finished his presentation on the argument of "smooth value of natural numbers in space topology", he stopped after checking the time, and looked at the host who was in charge of the venue arrangement.

The host hurried to the stage to announce a two-10-minute break.

Now it's question time.

None of the 'temporary judges' in the front row stood up to ask questions. Most of them understood and felt that the logic was rigorous and there was no problem at all.

They were just lamenting Zhao Yi's thoughts.

The reporters at the scene also conducted impromptu interviews, and their comments on the report just now were, "It's so exciting!"

"I never thought that topology could be connected with number theory, and it could also be used to prove natural numbers."

"By now, I pretty much know what's next."

"This smoothness argument is very meaningful. I think it doesn't matter anymore. Because the rest will be very simple, this conclusion is enough to support the proof of Fermat's conjecture."

Brent in the front row didn't fully understand, because he didn't understand a short paragraph in the middle, and he was a little distracted later, and he didn't understand a lot of the last paragraph.

Brent didn't want to show that he didn't understand. He listened to what the others were saying, and immediately knew what to say.

When the reporter interviewed, Brent sighed and said, "It is a very subtle proof, very exciting! I feel incredible, as if I have been opened a door that spans number theory and topology."

"The inside of the gate is definitely colorful, and I think a lot of inspiration bursts out of it!"

"Genius idea! Proof of genius!"

"Now I think, it can all end early, no problem, I'm 100% sure, he has proved the Fermat conjecture!"

Brent said that he seemed to be emotional, and continued, "I was there when Andrew (Wiles) gave a research report on Fermat's conjecture more than ten years ago. I dare say that Zhao Yi's proof is better than his. Thousand times, ten thousand times, the two are not comparable, because I can't find even a small problem from his proof!"

"so……"

at the same time.

In a remote rural town in country y, Wiles was sitting in the living room, watching the lecture program through the Internet broadcast. Originally, he wanted Brent to say something, and it was best to pick out some problems.

result……

Wiles gritted his teeth and roared, "Damn Brent! You ungrateful fellow!"

"You actually said it was a thousand or ten thousand times better than mine. Before you left, you called me and said that you would definitely find out his problems. Now you actually say that about me..."

Wiles was gasping for breath, and couldn't help becoming sad as he spoke.

In the eyes of everyone, he has become a failed mathematician, even more so after Fermat's conjecture was proved, but he found that he could not hate Zhao Yi, because his proof did have major logical errors.

Mathematics is a rigorous subject.

Right is right, wrong is wrong.

On the contrary, people like Brent made him feel even more annoyed.

……

After Zhao Yi answered a few questions, the time was almost over. He rested for about 10 minutes before returning to the podium.

The argument of 'Smooth value of natural numbers in space topology' is over, and the next step is the proof of Fermat's conjecture.

When he reached this step, he felt a lot more relaxed. Just like what Edward and Qiu Chengwen said, with the argument of "smooth value of natural numbers in space topology", the subsequent proof is as simple as a "set of formulas".

Of course.

That is for top mathematicians, they can quickly combine the two ideas, and generally know what the idea is. Not everyone is a top mathematician, and it is necessary to continue explaining.

He opened the prepared ppt, projected it on the screen, and began to explain one by one, because there are still many proofs, and many places still need to be simplified.

Although what Zhao Yi said was a bit boring, many people were more focused than before, because the content became easier after this part, and the proof logic was not so complicated.

In addition, when it comes to the proof of Fermat's conjecture, the meaning becomes different.

The venue was silent.

Under the cover of the quiet atmosphere, excitement burst out of many people's hearts.

Zhao Yi followed the train of thought to formulate a proof framework, and then entered the demonstration results of 'Smooth Values ​​of Spatial Topological Natural Numbers'.

At this time, there was a noisy sound in the venue, and many people couldn't help but exclaim, "So it is like this!"

"Unbelievable!"

"In this way, the substitution is perfect, and it can be proved that the fixed prime number takes the value n, and there will be no ungrouping of natural numbers."

The report ends here.

Zhao Yi then explained for about 10 minutes, followed by a list of offensives on the blackboard, and explained that 'n can be any prime number'.

Stop writing!

Turn around!

Bow slightly!

"Hula——" There was a round of applause in the venue.

Question time is no longer needed.

Several judges in the front row couldn't wait to stand up together, and walked towards Zhao Yi.

They all shook hands with Zhao Yi and sighed, "Congratulations!"

"Fermat's conjecture, starting today, has truly become a big theorem!"

"No problem, there is nothing wrong with your proof, I am 100% sure!"

"Now you just need to wait. There are records and live broadcasts on site. Whether it's the Newton Institute, the Clay Institute, or any other organization, I believe they will recognize your proof soon."

Edward Witten jokingly said, "But the people of country D will probably be very embarrassed. The bonus they provided for solving the Fermat conjecture a hundred years ago has been taken away by Wiles."

Chapter 341 The most top mathematician

Edward Witten said Wiles took away the 'Wolfskell Award'.

Wiles has won many mathematics and science awards because of the proof of Fermat's conjecture, but the one that is directly related to Fermat's conjecture and is very meaningful is the "Wolfskell Award", even "Fields Special Contribution Award", as well as the famous "Wolf Award", should be placed behind the 'Wolf Skell Award'.

The origin of the 'Wolfskell Award' is a legendary story.

A hundred years ago, Wolfskell, a mathematics enthusiast and businessman in country D, fell in love with a beautiful girl, but unfortunately, he was directly rejected by the beautiful girl, which made him hit hard, sad to the extreme, and even decided to commit suicide.

However, despite his strong feelings, Wolfskell did not act recklessly. He worked out every detail of his death plan with great care. Finally, he fixed the date of suicide and decided to strike midnight. At that moment, shoot yourself in the head.

For the rest of his life, Wolfskell continued to work hard, manage all his business affairs properly, and on the day he planned to commit suicide, he first wrote his will and then wrote his farewell letters to all his family and friends. .

Wolfskell was more efficient, and quickly dealt with all the things planned, but it was still several hours before midnight.

In order to pass the last time of his life, Wolfskell went to the library, he turned to a mathematical journal, and soon he was attracted by one of the articles.

This article is Kummer explaining why Cauchy and Lame's method of proving Fermat's Last Theorem doesn't work, and it's a great mathematical paper, probably good for a suicidal mathematician to read at the last moment.

Wolfskell was unknowingly completely attracted by this classic paper. He carried out detailed calculations and verifications, and was amazed that there seemed to be a logical loophole in the original argument:--

Kummer makes an assumption without justifying it in his argument.

Wolfskell wasn't sure whether he had discovered a serious logical flaw or whether Kummer's assumption was sound.

If it is the former, the proof of Fermat's Last Theorem may be easier than many people guess.

So Wolfskell scrutinized that section of the insufficient proof, gradually concentrating and engrossing himself on this little proof that would either strengthen Kummer's work or prove his hypothesis wrong.

In the latter case, all of Kummer's work would be declared null and void.

At dawn, Wolfskell finally completed the proof work, remediating Kummer's proof, thus confirming that Cauchy and Lame failed to prove Fermat's last theorem.

At this time, the time for the original suicide has long passed, and Wolfskell is extremely proud of himself for discovering and correcting a loophole in the work of the great Kummer, because the whole process of proof made him fully feel the joy of success and The charm of mathematics has re-realized the value of life.

Mathematics, aroused Wolfskell's desire to start life anew.

Wolfskell tore up all the farewell letters he had written and made a new will: When the will was read after his death, Wolfskell's family was shocked to find that most of his estate had been donated Create a prize that will go to the first person to prove Fermat's Last Theorem.

Prize money is kept and awarded by the Royal Society of Science in Göttingen, the interest of which can be used for the development of mathematics.

That's how the "Wolfskell Award" came about.

The "Wolfskell Award" is unique and will only be awarded to the prover of Fermat's conjecture. The bonus is 100 marks, which is now about [-] million pounds.

The Science Association of Country D has kept the "Wolfskell Award" for more than 80 years, and finally awarded it to Andrew Wiles who proved Fermat's conjecture.

More than ten years later, Zhao Yi proved Wiles' logical error, and now gives a proof of Fermat's conjecture.

That sounds like a lot of fun.

When Edward Witten mentioned the "Wolfskell Award", everyone around couldn't help laughing.

It was definitely well-intentioned, and I just thought it was very interesting, without any sense of 'sarcasm'.

In any case, facing the new proof of Fermat's conjecture, the Science Association of country D will definitely be embarrassed, but they have nothing to do. There is only one "Wolfskell Award", and it is impossible for them to conjure up a second one. At best, Wiles won't be recognized, but the prize money will definitely not come back.

Scientists will not be held responsible for erroneous research, nor will any prize money be returned.

In fact, it’s like an athlete who wins the Olympic championship, but the medal is taken back later, and the bonus won will definitely not be refunded. Some athletes spend the bonus directly, and wanting to get them back involves a lot of trouble A series of complex issues will involve many people, which is completely unnecessary and impossible.

Even more so in science.

A scientific study is proven to be wrong, nor can a scientist be said to be a 'liar', because research is to explore things outside the boundaries of human knowledge, and mistakes are very normal, and it is not responsible for any awards for wrong research Responsibility, and bonuses can never be refunded.

"So the people of Country D are doomed to be dumb."

"But I feel more sympathetic to Wolfskell. If you know the wealth you have accumulated, the award you set up will eventually be awarded to a logically wrong proof. When you have a correct proof, the bonus will be gone..."

Edward Witten shook his head as he spoke.

Others also followed up with a few words implicitly, and the topic was staggered. One was that a mathematician who was respected a hundred years ago was involved, and it was not good to continue talking, and the other was that a reporter came over.

It’s okay to talk about these things in private, but it’s not so good to be reported.

There were several reporters who came, because the report meeting was over and the time had passed, so the person in charge of the venue arranged for reporters to interview freely.

Zhao Yi simply sat in the first row of seats.

Edward Witten and Qiu Chengwen were standing nearby. They gave way to Zhao Yi, but they just stood aside and watched with a smile, not trying to grab the limelight.

They also have their own interviews.

Both of them are Fields winners, and the reporters are also very interested in them. Of course, the 'interest' has something to do with Zhao Yi. The reporters want to know what the two Fields winners think of Zhao Yi's proof.

Now that the proof has not been confirmed to be correct, the comments of the mathematicians are naturally very important.

Edward Witten said, "I don't believe there is a more elegant and rigorous proof than this. He established a new method that became the link between number theory and topology. Using this method, he proved the Fermat conjecture. "

"In my opinion, this method is more important than the proof of Fermat's conjecture itself!"

"We all know that the (Fermat) conjecture is already a theorem, but nothing has changed, it is the same as now and in the future."

"And the method he established, I believe, will be widely used in the field of number theory, and all mathematicians will be interested. Maybe there will be more conjectures and more mathematical problems, so they will be solved."

The Capital TV reporter concluded by asking, "So Mr. Wei Teng, do you think Zhao Yi's proof is correct?"

"Of course, obviously, he proved the Fermat conjecture."

Edward Witten said affirmatively.

Qiu Chengwen's interview captured the key point. He only focused on "proving the conclusion" and said, "We can celebrate in advance. The report is perfect and the process is perfect."

"From today onwards, we can say that the Fermat conjecture has been proven, and it was proved by Zhao Yi."

"Of course, the international (review) has not yet concluded, but I believe it is only a matter of time."

The review conclusions of foreign institutions are indeed very important.

There is no 'official' review of academic achievements, all reviews are unofficial, academic and private, the difference lies in world influence.

Institutions with great influence in mathematics include the Newton Institute, the Clay Institute, etc., as well as the Princeton Institute for Advanced Study, or some other universities, scientific research institutions, and organizations.

For every new mathematical achievement, influential institutions will express their views.

The importance of influence lies in the fact that academic achievements recognized by the above institutions will be recognized by most magazines, journals, universities, etc. in the world, and spread to every corner of the world.

This is how a study is recognized.

More than ten years ago, Wiles' Fermat conjecture proved that it was initially recognized by the Newton Institute, so it was accepted for submission by mathematical journals, and then various award selection committees and media from various countries gradually recognized the results.

Now Zhao Yi’s Fermat conjecture proves the same. If he wants to be recognized by the world, he still needs to be recognized by influential institutions. Unfortunately, there are no academic institutions in China with global influence.

When Edward Witten and Qiu Chengwen were being interviewed, Zhao Yi was also being interviewed. Facing several cameras, he was calm and calm, expressing his confidence in his proof, "I'm very sure, 100% correct."

After saying something about the results, the reporter asked about the topic of 'gossip' --