The proof of the twin prime conjecture attracted people's discussion, and everyone began to study Lin Xiao's proof method.
In Lin Xiao's proof process, knowledge of topology and geometry was used, which surprised people even more.
Deconstructing the sieve circle method from a topological perspective, and then verifying the twin prime number lattice in it from the perspective of geometric space, it finally completed the final proof in a quite incredible, but very perfect perspective.
This is obviously of great significance to the development of the mathematical world, and it even has certain enlightening significance for algebraic topology.
The mathematical community does not care whether the twin prime conjecture can be proven. People only care about its proof and what new methods it brings to the mathematical community.
Lin Xiao's proof method obviously achieves this important significance.
…
"No one can fault your proof. Your use of topological geometric methods reminds me of the time when I collaborated with Grothendieck."
In Professor Searle's office, Searle held the printed paper in his hand and praised its author.
Lin Xiao said modestly: "Grothendieck is a true master, and I still have a lot to learn."
"People like to call an old man a master, but they never think that a young man can become a master. This is wrong."
Serge shook his head, "Age cannot hinder a person's exploration of the truth."
Lin Xiao nodded slightly. Professor Searle's words always made him feel the philosophy contained in them.
Serge said: "Recall, how long have you been at the Ecole Normale Supérieure in Paris?"
"Well...it should be more than a month." Lin Xiao replied.
"It's only been a month."
Serge sighed: "In one month, you have accomplished such an achievement again. Sometimes I think, I wish you were as old as me. In this way, I have probably seen the proof of the Riemann Hypothesis.
Maybe the world of mathematics is completely different from what it is now."
Lin Xiao couldn't laugh or cry, he was still young.
"It seems that you will soon become the fastest doctor in our school to obtain a doctorate certificate."
Lin Xiao smiled and said: "It's still early. Do I still have to write a thesis before I can really graduate?"
As doctoral students at the Ecole Normale Supérieure in Paris, their graduation requirement is naturally to publish a thesis.
For PhD students from some world-famous universities, the graduation requirement may be to publish an article in "Nature" or "Science".
However, it is quite difficult to publish such a top journal, so they can choose to fulfill the requirements in terms of quantity, such as publishing seven or eight sci.
Therefore, unless you are a doctoral student with particularly strong abilities, you will generally take quantitative courses to meet graduation requirements.
However, the requirements for doctoral graduation from the Ecole Normale Supérieure in Paris prohibit the quantitative path. The only quality of published papers is required. Only by publishing two papers that can be published in top mathematics journals can you graduate.
This top mathematics journal generally refers to the level of the four top journals. Even if it is slightly worse, it can only be one level lower.
Publishing a paper in these journals is no less than publishing an article in "Science" or "Nature". These top mathematics journals are equivalent to "Science" and "Nature" in the mathematics world.
This is also a high requirement for those who are studying for a doctorate in mathematics at the Ecole Normale Supérieure in Paris. As a famous mathematics school, almost every Fields Medal winner in France was trained by the Ecole Normale Supérieure in Paris. At the same time, the Ecole Normale Supérieure in Paris is also the only country in the world to train Phil.
This is the university with the most award winners.
Such a top level of education naturally requires their students to perform even more outstandingly.
However, for Lin Xiao, he had already completed half of the highly demanding requirements for graduation in just over a month after he enrolled.
The proof of the twin prime conjecture was enough to make the four top mathematics journals begging him to publish it. Even Nature and Science would once again send invitations to Lin Xiao to submit papers.
Of course, Lin Xiao is now ready to publish this article in the "Annual Review of Mathematics", because the people in the Mathematics Department of the Ecole Normale Supérieure in Paris prefer this kind of mathematics journal, but they don't like "Nature" and "Science" very much.
Because they will feel that those readers cannot understand their paper.
Professor Searle smiled and said: "Maybe in another month, you will be able to complete such a top-notch paper again?"
"It also depends on whether I have inspiration." Lin Xiao said: "Actually, I haven't decided on the next topic yet."
"Haha, I won't give you advice in this regard. You are an all-rounder. I have seen from this paper that using topological geometry methods to complete the proof of problems in the field of analytic number theory, I believe there is no mathematical
Your family will not applaud your talents."
Professor Serge smiled, stood up, walked to his wine cabinet, took out a bottle of red wine that was probably newly purchased, and two glasses, then raised a goblet towards Lin Xiao: "Of course, no matter what
Anyway, we all need to simply celebrate your success and have a drink."
"Extremely happy."
Lin Xiao walked forward with a smile, took the wine glass, poured the red wine into it, and then had a drink with Professor Serge.
After taking a bite, Serge remembered something again and said with a smile: "By the way, there is also Professor Cayman. You have now completed your fight back. How do you feel now? And what I heard a few days ago.
How did he feel when he proved it?"
Lin Xiao shook his head: "I feel pretty good now, but when I heard his proof, I was a little surprised. I had already completed the proof at that time, and I thought it was a good thing for the mathematics community, but
But I didn’t expect…”
That Professor Cayman actually proved to be a failure. Although the error was relatively minor, it was still fatal.
Of course, Lin Xiao did not comment on this.
Winners don't need to laugh at losers to show their victory.
If there was a chance, he would not consider comforting Professor Cayman, of course, provided that he could listen.
Professor Searle smiled slightly, with admiration in his eyes. He should not be arrogant in victory and not discouraged in defeat. This is what a scholar should be like.
So, he stopped mentioning this matter and asked instead: "So, where do you plan to arrange your academic report?"
Hearing this sentence, Lin Xiao's eyes passed through the classical window sill and passed through the garden outside, and then said with a smile: "If the school can provide me with a large enough lecture hall, of course I will be here, but
It doesn’t seem to be the case now.”
"This is indeed a pity." Serge nodded. The lecture on the twin prime conjecture would obviously attract many people, but as a 'school', not a 'university', the Ecole Normale Supérieure in Paris could not accommodate thousands of people.
The human conference hall is used for Lin Xiao to hold academic reports.
"But don't worry about this. The school will make better arrangements for you, so let us look forward to your performance that day."
Lin Xiao nodded lightly.
Of course he will perfectly end the twin prime number conjecture and then bring a new theorem to the world.
It's probably called Lin's twin prime number theorem.
…
A few days later.
Princeton University, in the Afternoon Tea Restaurant.
"What a perfect proof process!"
Pompieri held the printed paper in his hand and exclaimed without even drinking the cold coffee next to him.
Deligne, who was sitting opposite him, shook his head and said, "You have said this many times. If you continue to say it, I will worry that you will get Alzheimer's disease."
"Haha, for those of us who often use our brains, the possibility of developing Alzheimer's disease is very low."
Pompieri didn't pay any attention to Deligne's words and said with a smile: "Are you not emotional at all about this paper?"
"I have already sighed with emotion after reading it. No one will read it over and over again like you."
"Haha, that means you have lost your passion, which also means that I haven't aged completely yet."
Deligne was too lazy to say more to the old guy, "When the time comes, will you go to Paris?"
"Of course I want to go." Pompieri said: "I also have to ask him why he doesn't want to come to our Princeton University to study for a Ph.D."
Hearing this, Deligne also showed a smile on his face: "That's true."
They were still a little worried about Lin Xiao not coming to their college to study. They remembered that they had discussed who would be his tutor if Lin Xiao came to their college to study.
As a result, in the current situation, it seems that everyone has thought too much.
…
Not only Deligne and Pompieri, but also mathematicians who don’t want to miss it have already prepared their trip to Paris.
Just like that, the time came to April 15th.
On this day, the academic lecture on the twin prime conjecture will begin.
As for where to start this academic report, there is no need to worry at all. After all, Paris is the conference capital of the world, and there is never a shortage of meeting venues here.
Therefore, in order to prepare a large enough venue for Lin Xiao to hold his academic report, the Ecole Normale Supérieure de Paris directly applied for him a conference hall with 2,000 people in the Paris Convention Center.
Although Lin Xiao used the Great Hall of the People to ensure that all the audience could be accommodated during the report on Goldbach's conjecture, there were more people from non-mathematical circles that time. This time, in order to avoid too much complexity, he came
Participants in this academic report can only be recognized mathematicians or related media.
Therefore, only less than 2,000 people were able to attend the academic report this time.
But no matter what, this is a large enough number.
The time comes at two o'clock in the afternoon on April 15th.
In the conference hall, more than a thousand mathematicians and reporters from major media were all quiet, with almost no one speaking.
They all set their eyes on the rostrum in front of them, because at this time, the young man was already standing on the stage.
Wearing a crisp suit, Lin Xiao's figure was highlighted.
Looking at the people in the audience, he had experienced this situation several times, and at this moment, his heart was as calm as water.
Facing the microphone, he smiled slightly and said:
“Euclide proved to us the infinity of prime numbers, but the amazing thing is that in the process of looking for prime numbers, we can always find two pairs of prime numbers with a difference of only 2, and they also continue to appear.
, then, are there infinitely many pairs of such prime numbers?"
"Now, I am here with my answer and the "Mona Lisa" I described in mathematical language, and I look forward to everyone's approval."
