Chapter 239: The bustling town of Princeton

It's been a week since Lu Zhou posted the paper on the Arxiv website, and most people who are concerned about Goldbach's conjecture have heard the news.
For the fifty-page paper, some people were extremely disapproved of the "group formation method". Some people were incredulous, and some people dismissed the fifty-page paper because they wanted to understand all of them. The proof process is indeed not an easy task.
Except for those civilians who are proficient in the "two instruments, four elephants, five elements and gossip" method, many scholars who analyze the direction of number theory, even if they study Goldbach conjectures, few people have eaten more than two methods simultaneously.
For example, people who study the large sieve method are not necessarily proficient in the circle method, and vice versa. In addition to the mainstream choices, there are also methods such as density method and trigonometric summation to solve, which are even more upset.
In the group theory method used by Lu Zhou, not only the shadow of the sieve method, but also the circle method, and even the idea of ​​group theory, can be described.
That is why, let alone test the correctness of the paper, there are certain thresholds to understand the paper.
Of course, the general view in number theory is relatively optimistic. After all, Lu Zhou has won the Cole Number Theory Award, and has solved many problems in number theory, especially the direction of prime numbers.
Because many professors mentioned this in their lectures, the discussion gradually spread from the academic circle to some campus bbs.
Now, not only scholars who are concerned about this direction are discussing this matter, but even the students of the mathematics departments of major universities are also discussing this paper.
A discussion started at a foreign mathematics forum known for predicting Filipino awards.
[OK! I know he has solved the twin prime conjecture and the Polignac conjecture, but our professor said in the class that the Goldbach conjecture and them are not at all a level. Just like the Ivy League and the Super Bowl, although they are both rugby, they are not a heavyweight at all. To put it bluntly, I don't believe his thesis is correct, there must be something wrong, it is estimated that it will be overturned soon. 】
[So who is your professor? 】
[James Maynard! 14-year SASTRA Ramanu Gold Prize winner! Candidate for the 18th Fields Award! I think his opinion is quite authoritative. 】
[Oh, Maynard, I've heard it, it seems like the Englishman who studies prime spacing? I heard that after Zhang Yitang figured out 70 million, he has been challenging the twin prime conjecture, and he has been preparing for a whole year, but he has been topped by others, and the manuscript has been burned up? (laugh)】
【Ha ha! 】
[My opinion is just the opposite of ours. Our professor highly values ​​this paper and believes that the group construction method will become a very promising analytical number theory research tool. 】
【Oh? Who is your professor? IMHO, not everyone has the ability to review manuscripts in analytical number theory, especially in the field of prime numbers. 】
[Tao Zhexuan. 】
[……]
...
There is no peer review on Arxiv, and the correctness of the paper cannot be determined. Whether this mathematical problem has been proven has been widely debated for a while.
Everyone knows, however, that the math world won't let this dazzling study wait too long.
The second week that Lu Zhou uploaded his dissertation, the Princeton Advanced Institute updated a conference information on its official website.
Next Monday, Lu Zhou will give an hour-long report on the subject of Goldbach's conjecture proof in the lecture hall No. 1 of the Princeton Institute for Advanced Studies.
As soon as this announcement came out, all the disputes over the correctness of the paper became all discussions about the report itself.
Many people's doubts about the correctness of the paper are mainly due to the lack of understanding of the group construction method and the lack of peer review of the articles on Arxiv. If it is posted in the form of a report, and it is still in a place such as the Princeton Advanced Institute, many questions will no doubt be resolved in the questioning section.
It is for this reason that in the past few days, Lu Zhou has been extra careful in preparing and has not been taken lightly by the recognition from the system.
The key to a mathematical conjecture being proved is logical self-consistency, but in the end it still needs to get approval from peers. This is fundamentally different from the subject test, and there is no standard answer to test. As a declarant of proof, he is obliged to explain his theory and answer all questions.
Even if it is a small detail, Lu Zhou dare not let it go, many traps are often hidden in some "obvious" problems.
Not to mention him, Wiles, who proved Fermat's Last Theorem, has been adept at these small problems, and has been stuck in an "obvious" place with problems for almost a year. If it wasn't for the encouragement of a friend, he even intended to admit defeat.
When he completed this work, Lu Zhou couldn't help feeling.
I didn't feel it before, but now he realizes how useful it is to bring a student.
The things that are to be reported on the stage are first thrown to the students when they are taken back to the test site, and all the places that are not understandable are drawn. Basically, it is very obvious that the peers will make them difficult.
It is a pity that although Professor Deligne borrowed a doctoral student brought by himself to serve as his staff, it was not a theoretical matter that helped him to staff, it was just a matter of staffing the PPT.
Even if Lu Zhou wanted to ask him where he couldn't understand his dissertation, he was just aggressive and completely incomprehensible.
Because his research direction is algebraic geometry, as for the big sieve method and circle method, they know nothing about it ...
...
Time passed day by day and finally came to the day before the report.
With the influx of mathematicians, even the peaceful town of Princeton followed.
In terms of hosting mathematicians from all over the world, Princeton can be said to have taken great care.
According to the arrangement of the Institute of Advanced Studies of Princeton, the mathematicians invited to the seminar were arranged at the Princeton Hotel opposite Palmer Square.
If all goes well, it's not just academic conferences during the day, but a celebration party full of champagne and food at night.
However, Lu Zhou had no time to consider these issues, because for him, every minute and every second before the report was valuable.
In the afternoon of the next day, there were crowds in the lecture hall No. 1 of the Princeton Advanced Institute.
In addition to the scholars invited to the conference, there are some unsolicited students. Some of them came with a mentor, some were studying in Princeton, and some even drove from New York and Philadelphia next door.
Although they were not notified of the specific time of the meeting, some people who were waiting here early grabbed the place.
As for those who came late, some simply sat on the aisles on both sides of the seats, and even stood at the corner and outside the corridor ~ EbookFREE.me ~ with the reporters who came to hear the news.
The report formally started at 2 o'clock and ended at 3 o'clock. It may be extended depending on the number of questions and the content of the questions.
Not surprisingly, after this report meeting, the Princeton Institute will join the editorial department of the "Mathematics Yearbook" and will organize a jury of four to six people to synthesize Lu Zhou's dissertation at the same time. After reviewing the manuscript, he summed up his review opinions and decided whether his thesis passed.
It can be said that whether the manuscript of this dissertation went smoothly depends on whether he can clearly explain his group construction method.
Standing behind the back of the lecture hall, Lu Zhou glanced again at the time on the screen of his phone and took a deep breath.
Five minutes left.
This is the tenth time he took out his phone to watch the time.
As for the first few deep breaths to adjust his heart rate, he can't remember.
Prior to this, Lu Zhou learned from Professor Deligne how many people attended the meeting.
Regardless of the people who signed up independently, more than 150 well-known scholars were invited to attend, some of them from Paris, some from Germany, some from his home country, and some familiar faces.
In addition to people in mathematics, there are journalists from around the world.
Soon, he will stand in the eyes of the world and put an end to the problems of this century.
Just then, a staff member of the Advanced Research Institute pushed into the preparation room and said with a respectful voice and Lu Zhou.
"Mr. Lu, it's almost time. Are you ready?"
This question was not answered immediately.
Lu Zhou turned and looked at the mirror, reached out and straightened his tie.
At last he took a deep breath, and he faced himself in the mirror with a smile in his mouth.
"Ready."