Chapter 837 A luxurious review team
Wiles, who didn't take it too seriously to watch the excitement, suddenly felt a little impatient.
There is a high probability that he will not be able to understand this paper.
So you need to find a professional.
Even so-called professionals cannot understand it right away.
But at least we can confirm whether there are any obvious omissions.
Of course, Perelman cannot be a civilian. However, there have been many cases in history where mathematicians thought they had solved an important problem, but were found to have made mistakes very early on.
Especially judging from the extraordinary length of this paper, I am afraid it will involve some new theoretical frameworks.
Generally speaking, thanks to the great development of academic journals and the Internet, even if today's mathematicians need to invent the wheel from scratch, they still have enough opportunities to take out the wheel separately for everyone to see, so as to avoid "building a car". Only then did I realize the wheel was square."
But the situation before us is obviously unusual.
According to Wiles's speculation, the two authors may have been working hard in this direction to prove Poincaré's conjecture for many years.
The paper in front of me should be the sum of all their work.
As for the previous article in "Annals of Mathematics"...
Most likely, it was just published casually so that the author named Chang Haonan would not appear too abruptly.
Hmm, that must be the case.
Thinking of this, Wiles looked around and asked Koncevich next to him:
“I remember...Richard Hamilton came here today, right?”
When he opened the paper just now, he noticed that the concept of "Ricci flow" was mentioned many times in the abstract section at the beginning.
Even though Wiles did not study topology, he knew who was an expert in it.
“I think I've seen him on the other side of the venue before.”
Concevich replied.
“Let's go and find him.”
Wiles didn't care that Arthur Jeff was still answering questions on the stage at this time. He immediately left his seat with his laptop and pulled Koncevich from the middle aisle of the venue to the other side.
Alash was a little confused by the scene in front of him, but he could only choose to follow his mentor quickly.
Fortunately, there were thousands of people attending the meeting on the upper and lower floors today, and everyone's focus was on the front, so not many people noticed that the two dignified Fields Medal winners were acting like thieves. , the cat crouched and ran around in the middle of the venue...
Concevich has a good memory.
Under his leadership, it didn't take the three of them long to find Hamilton, who was sitting in the second row on the right side of the venue.
The latter was listening happily to Arthur Jeff's explanation of why the famous Goldbach's conjecture was not included in the seven major problems. He was obviously in a good mood.
After all, I have always firmly believed that using the Ricci flow equation, it will be possible to prove Thurston's geometrization conjecture and Poincaré's conjecture.
“Professor Wiles? Professor Koncevich?”
Hamilton subconsciously wanted to get up.
These two still have a status of over 100 million in the world of mathematics.
Especially Andrew Wiles.
Although some people believe that his method of proof does not meet Fermat's description of "exquisite", so there may be other ways to prove Fermat's last theorem.
But in any case, this problem that lasted for 350 years and stumped Gauss, Euler, Hilbert and other big guys finally ended in the hands of Wiles.
This alone makes him one of the most influential mathematicians of his time.
However, Wiles had quick eyesight and quick hands and quickly stopped Hamilton's movement:
“Professor Hamilton, this morning, just now, to be precise, my students saw a paper.”
He said, opening the laptop and placing it on the small table in front of him.
Hamilton thought to himself that he couldn't wait a while to read the paper, so he had to come to me at this time, but when he turned around, he saw the title of the paper.
"Any simply connected, closed three-dimensional manifold must be homeomorphic to a three-dimensional sphere"
He was just thinking about the proof of the Poincaré Conjecture, and now a paper comes out saying that it has been proved?
“Which publisher received this submission?”
Hamilton asked almost subconsciously before looking at the specific content.
Wiles looked at Arash beside him, and then shook his head:
“It's not a publishing house, it's the arXiv website. Maybe you've heard of it.”
“Of course I know this, the upper left corner of the document is marked with the URL of the website.”
Hamilton pointed to the computer screen, and then continued:
“I mean, when the author uploads the article to arXiv, he must also submit it to a magazine, right?”
There was a moment of silence.
Obviously, no one can give an answer.
It is already abnormal for such a paper to appear on arXiv. It is normal for other more abnormal things to happen later...
Hamilton had no choice but to scroll down the document.
Then, I saw a familiar name.
Not Perelman, but Chang Haonan.
About half a year ago, he saw this author's article while reviewing for the "Annals of Mathematics".
Hamilton can even clearly remember the content of the article.
One of the conclusions is that topological surgery using Ricci flow can be used to construct geometric structures, thereby changing irregular manifolds into regular manifolds.
That conclusion played a considerable role in promoting his status in the academic circle.
Since Chang Haonan chose the Annual Journal of Mathematics for submission last time, it seems reasonable to continue to choose the Annual Journal of Mathematics this time, even if it is based on inertia...
Hamilton even wanted to take out his cell phone and call Mikael Lagerstedt to ask if there was such an article.
But in the end I endured it.
On the one hand, we are all scholars after all, so we should be more reserved.
More importantly, he has now seen the paper.
The publisher, no matter which one it is, has obviously not seen it yet.
Otherwise, for such a big matter, we should have directly contacted well-known scholars in all relevant fields.
This means that compared to his peers such as John Morgan, Bruce Kleiner, and Valentin Benahou, he has already won at the starting line.
When an editor saw it and found someone to review it, as a representative of the geometric topology line, he saw the paper earlier than others.
Chance to lead the review team.
There is no need to add extraneous details. With this thought in mind, Hamilton returned his attention to the computer screen.
This is how academic work is, the author of the paper only needs to immerse himself in scientific research, but the reviewer has many things to consider...
However, it didn't take long.
Hamilton's smile gradually froze on his face——
Although Ricci flow was mentioned many times in the abstract and introduction, and even his achievements in introducing Ricci flow into topology were cited,...
It's not the same again.
“How is it, Professor Hamilton?”
Looking at Hamilton, whose expression was changing unpredictably, Wiles asked.
“Something's wrong…”
Hamilton muttered.
Wiles was stunned for a moment, thinking that the other party had discovered the error in the paper:
“Alas...surely there is still a problem...”
Although it was expected, it is still a bit of a pity.
First of all, I couldn't really witness history.
Secondly, I didn't have the fun of seeing the seven major mathematical problems turn into the six major problems live.
Hamilton, however, shook his head:
“It's not the paper that has a problem.”
Three doubtful looks were cast at him.
“It's me who has a problem…”
“Ah?”
Wiles was a little confused by this sentence:
“Aren't you the founder of Ricci flow theory?”
“Hmm… I used to think so too.”
Hamilton is still staring at the screen intently:
“But I'm not sure now…”
“What…what do you mean?”
Consevich, who had not spoken a word just now, looked puzzled.
Hamilton shook his head in distress:
"Although Ricci flow is also used, their ideas...are completely different."
“Look here, they built the Ricci flow into Lindelof space.”
“And here, we perform surgery on the Ricci flow to find and eliminate the singularity before it occurs. This is what I have been working on for the past ten years..."
In just the first five pages of the paper, Hamilton listed a dozen key points.
They are all differences between the paper's ideas and existing theories.
It can be said that this is a completely different theoretical framework.
"but…"
Wiles frowned:
“The speed at which you turned the pages just now... was like reading a paper written by yourself.”
“I mean, if they really proposed a completely new theoretical framework, shouldn't it be very difficult to understand?”
Hearing this question, Hamilton finally raised his head:
“If Perelman had written this paper alone, I believe that would be the case.”
“But another author, Chang Haonan, I discovered during my last review that the ideas of the paper he wrote are very different from ordinary people, but every step can be written in a place that is not easy for us to understand.”
Concevich was also surprised:
“Can there be such a person?”
Of course he knows that understanding something yourself and letting others understand it are two completely different things.
In fact, one of the major problems currently facing the mathematics community is that as research fields continue to be subdivided and the depth of research in a single field increases, it is increasingly difficult for top mathematicians to understand the results achieved by others.
For a truly influential paper, the review cycle often stretches to several years.
It may not even be possible to judge it.
The ability of Chang Haonan described by Hamilton is completely refreshing in today's context.
“Anyway…what do you think is the probability that they are right?”
Wiles asked.
Hamilton did not answer immediately, but just lowered his head, rubbing his brows and closing his eyes to think.
“I'm afraid no one dares to draw a conclusion on this matter alone.”
After a long time, he finally opened his eyes again:
“Need to ask other people's opinions.”
"who?"
“Sergey Novikov, Michael Friedman, Simon Donaldson, Jeff Chigurh, Valentin Benahou…”
He said nearly ten names in a row.
Wiles was secretly frightened when he heard this.
Basically covers all topology experts of the previous generation and this generation.
Including three Fields Medal winners.
But it's not over yet.
After a slight pause, Hamilton suddenly turned his head:
“In addition, their proof mentioned a lot of physical concepts such as 'energy', 'entropy' and 'temperature', so we need a mathematician with a background in theoretical physics.”
“Professor Koncevich, I hope you can join us...”
“Okay, now it's four…”
Wiles thought to himself:
“Maybe there's a fifth one…”
(End of this chapter)
Chapter end
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