It is different from Lingnan in the dead of night.
It was a sunny day at Princeton University at this time.
The editorial board of the Annals of Mathematics magazine.
Powell was busy assigning submissions when suddenly a submission popped up in his email.
Powell immediately opened it quickly, because the emails that popped up were from heavyweight mathematics experts that he paid special attention to, and their manuscripts were usually reviewed by Powell in advance.
Well, Huang Mingzhe is this young man again.
[Finite element inverse analysis—geometric algebraic cluster groups and chaotic topological fuzzy cluster groups.] This is what Powell said when he looked at the title of the paper in front of him and then read the introduction.
He was stunned: "Hodge's conjecture"
He flipped through the pages carefully, but the 526-page paper was so complicated that his eyes almost blurred from reading it.
At this time, the sun was setting outside the window.
"Editor-in-Chief, it's almost time to get off work," an editor reminded.
"Well" Powell just woke up at this time. It took him an afternoon to read less than fifty pages of the paper, less than one-tenth of the entire paper.
However, he no longer had the confidence to read on, because he couldn't understand. As the editor-in-chief of the world's top mathematics journal, he couldn't understand a mathematics paper. It might make people laugh if he said it, but it was true.
Of course, this kind of thing is actually very normal. Even a top mathematician may not be able to understand another mathematician's paper. This is a very normal thing.
Especially in modern times, more and more knowledge has been gained in various fields of mathematics. Many people are only proficient in one or two fields, and there are no longer any mathematicians in all fields.
Unable to determine the status of Huang Mingzhe's paper, Powell had no choice but to send emails to those powerful reviewers.
He thought for a while and realized that there were only a few mathematicians who were qualified to be reviewers of this paper.
…
German Confederation.
Max Planck Institute.
Gerd Faltings had just had dinner and was about to go for a walk when his computer e-mail beeps.
He stopped, turned around and opened the email.
Gerd Faltings of the Annals of Mathematics is quite surprised, because he has not received a review email from the Annals of Mathematics for a long time, mainly because the papers that are worthy of his review now are all very enigmatic papers.
Since he once taught at Princeton University for a period of time, the Mathematics Annals would only ask him to review papers of high difficulty.
After all, among the great mathematicians in today’s society, except Alexander Grothendieck, the Pope of Mathematics who lives in seclusion in Gaul, the remaining top mathematicians are Gerd Faltings, Pierre Deligne, and Qiu Chengtong.
Familiarity can lead to mastery in several areas of mathematics.
For example, Gerd Faltings used algebraic geometry methods to prove the Model's conjecture in number theory; he also studied the parametric modular space of Abelian varieties, the Riemann-Roch theorem of arithmetic surfaces, and p-adic Hodge theory.
There are also original ideas.
Hey, finite element inverse analysis—geometric algebraic cluster groups and chaotic topological fuzzy cluster groups Huang Mingzhe
Gerd Faltings originally planned to take a walk and then come back to read the paper, but now he changed his mind.
After reading the introduction to the paper, he fell into deep thought.
"The idea is clear, the question is how he proves that the Hodge closed chain is established under finite element conditions" Gerd Faltings said to himself and continued to read.
He read very slowly, taking more than ten minutes to turn a page, and sometimes he even had to go back.
Perhaps because of his age, Gerd Faltings' energy was not as good as before. After just watching for more than two hours, he felt his head swelled.
He had to stop, pressed his temples, and took out some scratch paper. He thought for a while and then verified the formulas and derivation in Huang Mingzhe's paper.
…
the other side.
Professor Pierre Deligne of Princeton University is also doing verification work.
Fortunately, Huang Mingzhe's derivation and argumentation process is very clear, not Mochizuki Shinichi's cosmological paper, nor Perelman's vague proof of Poincaré's conjecture, which reduces the reviewer's workload a lot.
Qiu Chengtong, who is at Harvard University, is also reading papers.
There are three heavyweight reviewers, that is, the Annual Journal of Mathematics has the ability to let them review manuscripts, but other journals may not have this qualification.
Although they are top mathematicians, the three of them are very cautious when it comes to the Hodge conjecture paper.
In order to verify this paper, Qiu Chengtong took an unprecedented one-week vacation.
There are 526 pages of the paper. Even a top mathematician cannot verify the contents of more than ten or twenty pages in one day. Especially when you encounter something you don't understand, you need to carefully examine the rationality. This is the most difficult thing.
It took three top mathematicians nearly a month of effort to finally understand the general content of this paper.
Gerd Faltings at the Max Planck Institute silently put down the pen in his hand.
On the table nearby are hundreds of pages of draft paper, which are densely packed with derivation processes and formulas.
Peter Schulz, who had just been sent to the Max Planck Institute for exchanges a few days ago, looked curiously at the legendary figure Gerd Faltings.
"Dr. Gerd, you are studying the Hodge conjecture"
Gerd Faltings shook his head: "I am verifying a paper."
"Oh, is it a paper about the Hodge conjecture? I've also been studying the Hodge conjecture recently, but I really have no clue. I don't know where to start." Schultz said distressedly, obviously he didn't think that Gerdefar
The paper Tings reviewed proved the Hodge conjecture.
However, after hearing this, Gerd Faltings fell silent. After a while, he slowly said: "Peter, you don't need to study the Hodge conjecture."
"Dr. Gerd is not optimistic about my research on the Hodge conjecture." Schulz asked with a smile, but he obviously had his own arrogance.
"No." Gerd Faltings shook his head.
"Then why"
"The Hodge conjecture has been proven."
"..." Schultz was stunned. After a while, he slowly came to his senses: "Hodge's conjecture has been proved."
"There is no doubt about it." Gerd Faltings sighed.
"So and so proved it"
"Peter, you know this before the paper is published." Gerd Faltings reminded.
"Oh! I lost my temper." Schulz was confused. He didn't expect that his clueless Hodge conjecture had been cracked.
"You'll see the paper soon."
"I look forward to it."
"Don't be too surprised then." Gerd Faltings reminded with a smile.
But Schultz, who was confused, obviously didn't hear clearly.
the other side.
Pierre Deligne and Qiu Chengtong also completed the paper verification work.
Obviously both of them thought that there was nothing wrong with the paper. Huang Mingzhe's paper had an obvious characteristic, that is, it was very perfect, and the entire paper seemed watertight. This was Huang Mingzhe's usual style.
May 29th.
The editorial board of Annals of Mathematics received a reply letter from the last reviewer, Pierre Deligne.
Powell put down the paper and the response letters from the three reviewers. His whole body trembled with excitement, and he shouted to the people outside:
"Austin, Ibuprofen, and Zeelan, come to my office for a meeting."
The three editorial team leaders looked at each other in surprise and then walked in confused.