From small town academic to chief scientist
Chapter 157 Bill’s Zhouyi Theorem (please subscribe for monthly tickets)
"Wow!"
Everyone present and watching the live broadcast online were in an uproar.
Beer's theorem?
This young man is very arrogant and has not yet been recognized by his peers. You call him Beer's Theorem.
If you fail, how will you end up?
Carlos in the audience slapped his forehead. He had been covering for him just now, but it turned out that this young man was really young and frivolous.
Only the media in the audience were surprised. They came here just to see this kind of breaking news, as if a large wave of traffic was waving to them.
In such a scene, if a person with a weak psychological quality, or a person with insufficient confidence in his or her own proofs, was stared at by such a big shot in analytical number theory or number theory, I am afraid he would be so nervous that he could not speak.
Zhou Yi looked at the large crowd of people present and felt very calm. His originally nervous mood became very relaxed.
"I will mainly explain my paper in two parts below. First, I will talk about the first aspect, which is that I am proving a new mathematical tool analysis method created by Beer's conjecture. Next, I will talk about how to use analysis. There is no way to solve Beer’s conjecture.”
Zhou Yi's tone was loud and steady, giving people a very confident posture.
"I believe that my thesis has been read by everyone before you come here, so I will not describe some obvious steps in the thesis here. I mainly explain some key steps, ideas and ideas in the thesis. .
Finally, I try to leave as much time as possible for everyone to ask questions. "
Many of the big guys in the audience had basically read Zhou Yi's papers before coming here, as Zhou Yi said. If you come to ask questions without even reading the papers, it is a waste of precious time and will become a joke. It gives people an exaggerated impression.
What academia hates most is this kind of exaggeration.
Of course, it is impossible to recount the parts that Zhou Yi wrote very clearly in the paper. This is also an extremely substandard performance and a waste of the time of many big guys.
After Zhou Yi finished what he said, he started to get to the point directly.
“The so-called analytical method is to connect geometry, algebra, and number theory from three directions, and use the thinking of spatial analytic geometry to go from infinite approximation to finiteness, and from the whole to the general.
Starting from the refinement of Baker's theorem, we can gradually"
Zhou Yi explained quickly while pointing at the screen with an electronic laser pointer, and soon flipped through several pages of PPT.
[X_0(N_E)→E, let φ_e be one of the parameters of the minimum degree. . . , we have fifty-seven formulas:
deg(φ_e)=c(N_E)^(1+0(1)),】
【deg(φ_e)\u003c\u003cexp(N_E)^(2/3+0(1))】
"Here I will focus on explaining that this is an inspiring tool I obtained when I studied the ABC conjecture."
Compared with the proof of Beer's conjecture in the second half, the understanding of the analytical method is more critical.
Because only after you understand the previous analysis method clearly, can you understand the second half of the proof.
Only then will people understand what the previous foreshadowing was.
Therefore, Zhouyi's explanation of the analytical method is slower and more detailed than the second half.
Wiles in the audience clenched his hands and said to the two mathematical emperors Deligne and Milnor next to him:
“This guy has 50% of my demeanor back then!
I have to say that he also referred to many of my documents and quoted many of my tools. Am I considered half of his master? "
There are only six people alive who can be called emperors of mathematics.
Even if Wiles almost won the Fields Medal and the Abel Medal, there are at least 10 people in the world of mathematics alive today who have won both medals.
Milno swore directly and said:
"What the heck are you? Who looked like he was going to die when someone discovered the mistake in the paper? I still remember it fresh. I saw it as a big joke."
Deligne also added a last-ditch attack and said:
"Didn't you plan to apologize to the New York Times at that time? After all, it caused a global sensation!"
Deligne emphasized the word "global sensation" very seriously.
Andrew Wiles gave a famous lecture at the University of Cambridge, and at the end of the conference announced that he had proved Fermat's last theorem.
This result was reported all over the Internet and shocked the world.
As a result, at the end of that year, a mathematician discovered an error in the mathematics paper, and it was a fatal error that was irreversible.
If Wiles hadn't been in a desperate situation later, had a sudden inspiration, and finally proved it, otherwise it might have been recorded in the negative history of mathematics and become a background for others.
Wiles served as chair of the mathematics department at Princeton until 2011, before returning to his native Oxford University.
"That's just a little joke. Only by being forced into a desperate situation and fighting back can you feel like a protagonist. You guys are too smooth sailing and can't experience the feeling of pleasure I have."
Wiles tried to quibble.
The three of them knew the origins of his story. When Deligne and Milnor were about to continue to expose his dark history, Wiles was scared and said:
"Read the report carefully. I have a hunch that his analytical method can solve more number theory conjectures."
At this time, the three of them returned to the topic again while joking in small voices.
The three of them all read the Zhouyi paper and felt that there was nothing wrong with it. They could understand it even if they listened to half of it.
As for whether the rest of the people can do it, I don’t know.
As for a new set of theoretical things that were published as soon as possible, different people had different opinions. When Mochizuki Shinichi's secondary theory, the Teichmuller theory of the universe, was not praised by some and questioned by others.
Zhou Yi looked at the expressions and reactions of the audience in the audience. Zhou Yi knew that there must be people who had doubts about the analytical method and must have gained something new.
These people may just have doubts about a certain step, but they have understood it after Zhou Yi's detailed explanation.
As long as the previous part of the work is understood, Zhou Yi feels that his goal has been achieved.
Immediately, Zhou Yi turned the PPT to the next page, and the next step was the proof process of Bill's conjecture.
At this point, Zhou Yi's pressure has been reduced a lot. With so much preparation work done, the next proof will be a matter of course.
However, this step touches the hearts of most people.
[Assume U_p+V_p+W_p=0, u, v, w∈Q and p≥3, then uvw=0. (Equivalently, there are no non-zero integers x, y, z, r with n\u003e2 such that x_n+b_n=c_n). 】
As the PPT pages turned, the atmosphere in the entire lecture hall was obviously pushed to a climax.
Many mathematicians slapped their thighs and thought to themselves, it turns out that it can still be like this, it is really exquisite, this guy has the ability to analyze the direction of number theory.
No, his geometric direction of the Philippine Prize has been determined. Can two medals be given to him? Many mathematicians were startled by this surprising idea.
Maynard, an expert in analytic number theory who won the Fields Medal this year, clasped his hands tightly. Although he didn't say a word, the look on his face and the eyes of wonder had deeply betrayed him.
"Wonderful, wonderful, all the fog is lifted at this moment, all the foreshadowing and foreshadowing are highlighted at this moment, step by step becomes clear, and all doubts will eventually dissipate."
Maynard is also a top expert in analytic number theory, so he is naturally aware of Zhou Yi's work. The analytic method impressed Maynard extremely deeply at this moment.
Anna Cariani showed great approval at this moment, and the notebook in her hand had been closed, and all the doubts recorded disappeared at this moment.
In a middle row position, Henryk Iwaniec, another expert in analytic number theory, said to Gerd Faltings:
"It seems that this young man from the East has done it. The million-magnesium gold is his, and his reputation is also his. From classical geometry to analytic number theory, it is really a big leap, but he actually did it.
His analytical method helped me a lot. I had a hunch that either he or I would solve a top-level number theory problem. "
Farjens said:
"I bet you're not as fast as him."
"What bet?"
Ivanets said.
"A magnesium knife."
Faryans said jokingly.
"Oh, you are such a stingy person."
"However, Daxia has produced a lot of talents in recent years. Those who graduated from Shangjing University, including Zhang Yitang, whose papers amazed me."
Ivanets said.
Speaking of Zhang Yitang, Faryans was a little impressed. Zhang Wei on the side said to some students from Daxia:
“It took Ivanets three weeks to review Mr. Zhang Yitang’s paper on twin prime numbers.
Created the fastest review record in the Annual Journal of Mathematics. "
Zhang Wei is one of the golden generation of Beijing University.
He has won the Ramanu Gold Medal, the ICCM Mathematics Gold Medal, and the first Clay Mathematics Research Award of Bactria Nationality.
At this moment, Zhou Yi's voice reached everyone's ears again,
[From Theorem 3, Theorem 9, Lemma 5, Lemma 7. . .
We can know that x^p+y^q=z^r, there is no positive integer solution that satisfies the conditions (x, y, z) = 1, p, q, r\u003e2.
That is to say, the equation x^p+y^q=z^r has a positive integer solution, then x, y, and z must have common factors.
Certification completed! 】
The PPT was frozen at this last second. Someone was originally discussing very quietly in the lecture hall, but at this moment it was silent.
Zhou Yi felt a little baffled by this solemnity. No one was talking, so Zhou Yi said again:
"As for the proof of Bill's conjecture, I think I will end here."
Wiles wondered, why are these words so familiar? Wasn't this the last sentence I gave when I gave a report on Fermat's Last Theorem at Cambridge University?
At this time, Carlos stood up first and clapped his hands. After a while, the entire venue burst into applause. It lasted for a long time before it stopped.
Not long after, some people who still had doubts began to ask Zhou Yi,
Zhou Yi was very patient and gave very detailed answers.
This session brought the atmosphere to its peak.
There are many older generation mathematicians who have been famous for a long time, and their mathematical achievements are no less than Zhou Yi in some fields.
Until Wiles stood up, took Carlos' host position, and said:
"I announce that Beer's conjecture has been officially promoted to Beer Zhou's theorem! Congratulations, young man."
Wiles came out to give the final word, which was a perfect ending to this report meeting.
Although the two emperors did not speak, everyone could see the conversation between the three of them. They obviously recognized Zhou Yi's proof process and Zhou Yi's original analysis method.
Otherwise, with Deligne's arrogant attitude, Zhou Yi might not be able to step down immediately.
Milno said with some dissatisfaction at this time:
"Where's the champagne? Didn't you prepare champagne? Oh, you are too rude."
Fefferman quickly said:
"get ready."
Milno took the champagne at this time, then walked up and said to Zhou Yi:
"Congratulations, young genius. There may be many people in the world who have achieved high achievements in mathematics, but at such a young age, you are the first."
The winner of the third prize personally delivered champagne, which undoubtedly made the media happy. This old guy was Mirno, one of the six emperors in the world, and he took photos.
Winning three out of four Fields Medals, Abel Medals, Wolf Medals and Craford Medals is the pinnacle.
Milno's move made countless people jealous and envious.
Zhou Yi took the champagne and said, somewhat at a loss:
"Want to open it and drink?"
Milno said with a teasing tone:
"Of course you don't have to drink. But we like to celebrate this way."
It was impossible for Zhou Yi to refuse the wine handed over by the boss in front of him, which undoubtedly made the bosses unable to step down.
Zhou Yi took a sip in cooperation and felt it was particularly sweet. Perhaps it was the blessing brought by the one million magnesium gold.
At this time Wiles walked up and said:
"Young man, nice to meet you, I'm Andrew Wiles."
Zhou Yi put down the wine bottle and said quickly:
"I'm Zhou Yi, nice to meet you."
The two shook hands, and Wiles said directly:
"Your analytical method may be able to be expanded. I think it may be a sharp tool that can solve various number theory conjectures in one fell swoop."
Zhou Yi was a little embarrassed. Is this the consciousness of top mathematicians? It's so terrifying.
I didn't expect these old guys to have such sharp eyes.
"However, due to the rigor of mathematics and the pursuit of truth, we will still organize a group of judges to review your paper again."
Wiles said.
The review process may not be as fast as expected. It may take at least half a month.
During this process, Zhou Yi also had to answer some reviewers’ doubts about the paper.
This rigorous academic attitude is the respect for truth, mathematics, and Zhouyi's thesis.
I passed it casually, too cheap and spicy.
Not only does it appear that truth is cheap, but it also casts doubt on mathematics and lowers the identity of mathematicians.
At this time, Wiles said loudly:
"Drink to your heart's content, young genius, this moment belongs to you!"
Witnessed by Zhou Yi's big bosses, he held up the champagne and took a sip.
The smell of alcohol filled Zhou Yi's taste buds, instantly igniting his brain.
This is million magnesium gold,
This is making a name for yourself in a foreign country.
This is the second cry from the young generation of mathematicians in Daxia to the world of mathematics!
Countless reporters took photos to record this historic moment.
I believe that the next day, the pages of various media in China and even Europe will be all about Zhou Yi.
After Zhou Yi was photographed by countless reporters, Wiles said again:
"The reviewers of this paper mainly include my apprentice Anna Cariani, the German genius Schulz, and the expert in analytic number theory Henrik Ivanets."
After naming seven or eight famous people, Wiles finally finished.
When Zhou Yi heard this, he felt a little numb. All of these people were top tycoons in the industry.
Especially Ivanets, the reviewer who originally reviewed Zhang Yitang's paper. Although he is not famous, his strength is beyond doubt.
"Okay, genius boy, shouldn't you go meet your sponsor, Mr. Bill?"
Wiles said at this time.
Bill was the banker who offered a reward of one million magnesium gold. He proposed it in 2013 and the Federal Mathematical Society published it.
Not long after, Zhou Yi met the benefactor.
The financial owner hugged Zhou Yi directly. Zhou Yi's thin body could not move. Mr. Bill said:
"So excited, so excited, thank you, thank you."
Zhouyi:? .
Are you so excited?
I'm not as excited as you are.
Seeing Zhou Yi's confused look, Bill said excitedly:
“I never thought that one day I would be included in mathematics textbooks, maybe in a very remote corner, but life is enough.
I am often scared at night, afraid that someone will find a counterexample. "
Zhouyi:...
Isn't it just loading the math textbook once? Are you so excited?
Zhou Yi said it is difficult to understand your excitement.
Maybe this is the hobby of serious math fanatics,
It's much better than some messy civil sciences.
At least no one is committed to overturning Fermat's last theorem.
"Today, just today, you finally fulfilled one of my dreams. I asked countless people, even Faljens, Wiles, Fellman, Ivanets, they They say this is the closest to the truth."
Bill said with an excited tone,
"Thank you, Mr. Zhou Yi, for making my mathematical dream come true."
Zhouyi:...
What you said is too exaggerated. Faryans is not in the Magnesium Country.
It's weird for people to ignore you.
Zhou Yi remembered that this guy was rich, oh, so he had never complained about it.
To a certain extent, money is everything!
"I originally gave the one million magnesium gold to the Federal Mathematical Society, but the result has basically been decided, so I will contact the Federal Mathematical Society and ask them to transfer funds to your account as soon as the paper is published."
Zhou Yi was immediately in awe. This was a qualified and serious mathematician.
"Thank you very much, Mr. Bill."
Zhou Yi said very politely, which was a huge change from his expression of disgust just now.
Just after Zhou Yi finished talking with a group of big guys, countless reporters swarmed up.
This speed made Zhou Yi dumbfounded.
None of the domestic self-media can keep up with their speed.
"Mr. Zhou, do you have any idea of coming to our country?"
Zhou Yi said lightly:
"No."
Another reporter:
"Mr. Zhou, may I ask how you got the inspiration to solve Bill's conjecture."
Zhouyi:
"I got the inspiration from the Great Wall. I was still studying the ABC conjecture at the time. It was my teacher Qiu Chengtong who pointed out a way for me and asked me to give up studying the ABC conjecture temporarily."
"Ou, he was the former chairman of the Department of Mathematics at Harvard University, the Caesar of mathematics."
The reporter exclaimed, obviously knowing Qiu Chengtong.
There is a reporter:
"Mr. Zhou, I heard that you worked hard to solve Bill's conjecture because of the millions of magnesium gold."
this..
Can this be admitted?
Zhouyi said:
"Of course not. Just pure interest."
"Mr. Zhou, will your next direction be 3n+1 conjecture?"
Zhouyi said:
"I don't know, I need to think about it for a while to know for sure."
Zhou Yi squeezed away the unmanageable group of reporters. With Tan Mingming's help, Zhou Yi finally escaped back to his hotel.
Tan Mingming on the side said:
"The 3n+1 conjecture is also known as the Collatz conjecture. It is no longer possible to accurately verify who first proposed the 3n+1 conjecture.
However, literature shows that as early as the 1930s, the German mathematician Lothar Collatz had considered similar problems, so the 3n+1 conjecture is often called the Collatz conjecture.
Since the 3n+1 conjecture was introduced to Daxia by an island nation named Kakutani, it is also known as the Kakutani conjecture in China. Of course it has many other names, but I think calling it the 3n+1 conjecture is the most appropriate. "
Zhou Yi nodded and said:
"I know, but I'm not interested."
Tan Mingming said:
"In fact, the popularity of this conjecture in the Federation is comparable to that of Goldbach's conjecture, which is well-known in the country. It is known to everyone."
Zhouyi said:
"I have no plans to develop here. I'll give it a try in the future. I'm planning to return to China. Brother Tan Mingming, thank you for your hospitality in the past few days. I'm sorry to bother you."
"No, we are all senior brothers. I wish you would bother me more."
Tan Mingming said very loyally.
Zhou Yi asked doubtfully:
"Aren't you planning to return to China to develop?"
A strange smile appeared on the corner of Tan Mingming's mouth and said:
"Do you think any of the people from Beijing University will go back? If Xu Chengyang goes back, won't he eventually leave again? The water is deep here, and Teacher Qiu's achievements and status in the mathematics world cannot be restored.
I will naturally go back when the time comes, and here, I can learn more things. We mathematicians are different from other people.
The results made are basically used by everyone. If you can't use it, it can only be said that the mathematics level of that country is not good. Don’t worry about meeting the King of Hell one day out of nowhere. "
Zhou Yi nodded. This was Tan Mingming's idea and he couldn't change it, so he said:
"Be careful and don't believe too much in matters of moral integrity. I will be returning to China the day after tomorrow to meet Professor Mirno and Professor Deligne."
What Tan Mingming said is right. He basically doesn't attack mathematicians. In the field of mathematics, any results will be published.
Professor Deligne, a four-time grand slam medalist in mathematics, is not from China.
The Belgian king was so excited that he felt he had nothing to give, so he directly created a viscount for Deligne.
"Okay, okay, I am sensible, junior brother, there is a large dinner party tonight, will you go?"
Tan Mingming said.
Zhou Yi nodded and said:
"I will definitely go to this kind of event. It would be great to get to know more mathematicians."
Tan Mingming said:
"Yes, junior brother, although you have achieved a lot, but none of the old guys here have achieved anything. If you get to know more people, just make connections."
"Okay! See you tonight."
The fact that Zhou Yi won the prize at Princeton and proved Bill Zhou Yi's theorem in the presence of countless mathematicians was also spread to China by some media.
Domestically, it aroused considerable public opinion.
PS: Please give me a monthly pass, double the activities, please, and also please make a full reservation.
Don’t force the author to kneel down and beg you to give me a full monthly subscription.
I knelt down and begged for a monthly pass and a full subscription.
Morality? I have no moral integrity!
No update tonight~
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