It is different from Lingnan in the dead of night.

At this time, it was a sunny day at Princeton University.

Editorial office of the Annals of Mathematics magazine.

Powell was busy distributing submissions when suddenly a submission popped up in his email.

Immediately, Powell hurriedly opened it, because the emails that could pop up were all heavyweight math experts that he paid special attention to, and their manuscripts Powell usually reviewed in advance.

Well? Huang Mingzhe? It's this young man again.

[Inverse Finite Element Analysis—Geometric Algebraic Cluster Clusters and Chaotic Topological Fuzzy Clusters.] What is this? Powell looked at the title of the paper in front of him, and then looked at the description of the introduction.

Suddenly, he was dumbfounded: "Hodge guess?"

He carefully flipped through the pages, but the 526-page paper was really super complicated, and his eyes were almost exhausted.

At this time, the sun had set outside the window.

"Editor-in-chief, it's almost time to get off work." An editor reminded.

"Huh?" It was only then that Powell came to his senses, and it took him an afternoon to read less than fifty pages of the paper, less than a tenth of the entire paper.

However, he no longer has the confidence to read it, because he can't understand it, as the editor-in-chief of the world's top mathematics journal, he can't read a mathematical paper, and it may make people laugh when he says it, but this is a real thing.

Of course, this kind of thing is actually very normal, even a top mathematician may not be able to read another mathematician's paper, which is a very normal thing.

Especially in modern times, there has been more and more knowledge in various fields of mathematics, and many people can only be proficient in one or two fields, and there are no mathematicians in all fields.

Unable to determine the status of Huang's paper, Powell had no choice but to send emails to those big reviewers.

He thought about it, and now there are only a few mathematicians who are qualified to be reviewers for this paper.

……

German Confederation.

Max Planck Institute.

Gerd Faltins had just eaten dinner and was about to go for a walk outside when his computer's e-mail beeped.

He stopped, turned around and opened the email.

Annals of Mathematics? Gerd Faltings was surprised, because it had been a long time since he had received an email from the Annals of Mathematics, mainly the papers that were now worthy of his review, which were very inscrutable.

Because he had taught at Princeton University for a period of time, he would only come to him for review when he encountered difficult papers in the Mathematics Annual.

After all, among the top mathematicians in today's society, except for the mathematical pope Alexander Grothendieck who lives in seclusion in Gaul, the rest of the top mathematicians are Gerd Faltins, Pierre Deligne, and Yau Chengtong who are familiar with several fields of mathematics.

For example, Gerd Faltings used algebraic geometry to prove the Model conjecture in number theory; He also has innovative insights into the parameter mode space of Abelian clusters, the Riemann-Roch theorem for arithmetic surfaces, and the P-Adic Hodge theory.

Hey? Inverse Finite Element Analysis—Geometric Algebraic Cluster Clusters and Chaotic Topological Fuzzy Clusters? Huang Mingzhe?

Gerd Faltins had planned to come back after a walk to read the paper, but now he changed his mind.

After reading the introduction to the dissertation, he fell into deep thought.

"Thinking clearly, the question is how does he prove it? Finite element condition Hodge closed chain holds?" Gerd Faltins finished talking to himself, and continued to look at it.

He looked very slowly, turning a page in ten minutes, and sometimes even turning back.

Probably because of his age, Gerd Faltins was not as energetic as he used to be, and after just watching for more than two hours, he felt his head swell.

He had to stop, pressed his temples, and took out some scratch paper, he thought about it and verified the formulas and derivations in Huang Mingzhe's paper.

……

The other side.

Professor Pierre Deligne of Princeton University is also working on the verification.

Fortunately, Huang's derivation and argumentation process is very clear, not Mochizuki Shinichi's cosmology, nor Perelman's ambiguity in proving the Poincaré conjecture, which reduces the reviewer's workload a lot.

Yau at Harvard University is also reading a thesis.

Three heavyweight reviewers, i.e., the Annals of Mathematics, have the ability to allow them to review manuscripts, which other journals may not necessarily have.

Despite being top-notch mathematicians, all three were very cautious in the face of Hodge's conjecture paper.

In order to verify this paper, Yau Chengtong took an unprecedented week's vacation.

A full 526-page paper, even a top mathematician, can't verify more than ten or twenty pages of content in a day, especially when you encounter something you don't understand, you need to carefully scrutinize the rationality, which is the most difficult.

It took almost a month of effort for the three top mathematicians to finally understand the general content of the paper.

Gerd Faltings, at the Max Planck Institute, silently put down his pen.

On the table next to it are hundreds of pages of scratch paper, on which are densely packed with derivation processes and formulas.

Peter Schultz, who had just been sent to the Max Planck Institute a few days ago, looked curiously at the legendary figure of Gerd Faltings.

"Dr. Geld, are you working on the Hodge conjecture?"

Gerd Faltings shook his head: "I'm validating a paper. ”

"Oh? Is it a paper on the Hodge conjecture? I've been working on the Hodge conjecture lately, but I don't really have a clue where to start. Schultz said bitterly, apparently not believing that Gerd Faltings' paper under review proved Hodge's conjecture.

However, after hearing this, Gerd Faltins fell silent, and after a while he said slowly, "Peter, you don't need to study the Hodge conjecture. ”

"Dr. Gerd is not optimistic about me studying the Hodge conjecture?" Schultz asked with a smile, but he clearly had his own arrogance.

"It's not." Gerd Faltins shook his head.

"Then why?"

"The Hodge conjecture has been proven."

"......" Schultz froze, and after a while he slowly came to his senses: "Hodge's conjecture has been proven?"

"Absolutely." Gerd Faltins sighed.

"Who? Who proved it?"

"Peter, you know before the paper is published." Gerd Faltings reminded.

"Oh! It's me who lost my temper. Schultz's whole body was in a daze, he didn't expect that his clueless Hodge conjecture would be cracked.

"You'll see the paper soon."

"I'm looking forward to it."

"Don't be too surprised." Gerd Faltins reminded with a smile.

However, Schultz, who was confused, obviously did not hear clearly.

The other side.

Pierre Deligne and Yau Chengtong have also completed the verification of their papers.

Obviously, the two of them also think that there is no problem with the paper, and Huang Mingzhe's paper has an obvious feature, that is, it is very perfect, and the whole paper seems to be leaky, which is Huang Mingzhe's usual style.

May 29th.

The editorial office of the Annals of Mathematics received a reply from the last reviewer, Pierre Deligne.

Powell put down the paper in his hand and the reply letters from the three reviewers, and his whole body trembled with excitement, and shouted outside:

"Austin, ibuprofen, Zeeland, you come to my office for a meeting."

The three editorial team leaders looked at each other in surprise, and then walked in confused.