Super Dimension Technology Era

Chapter 48 Proved

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.

Suddenly, Powell 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.

Hmm? Huang Mingzhe? It’s this young man again.

[Finite element inverse analysis—geometric algebraic cluster groups and chaotic topological fuzzy cluster groups. ] This is? Powell looked at the title of the paper in front of him, and then read the description of 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 already setting outside the window.

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

"Uh?" 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 could only choose 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 finished dinner and was about to go for a walk when his computer email beeped.

He stopped, turned around and opened the email.

Annual Review of Mathematics? Gerd Faltings is quite surprised, because he has not received a review email from Annual Review 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, Mathematics Annual 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 leads 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-Roche theorem of arithmetic surfaces, and p-adic Hodge theory, etc. There are also original ideas.

Huh? Finite element inverse analysis—geometric algebraic cluster group and chaotic topological fuzzy cluster group? Huang Mingzhe?

Gerd Faltings had originally planned to take a walk and 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 does he prove 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. It is not Mochizuki Shinichi's cosmological article, nor is it the vagueness of Perelman's proof of Poincaré's conjecture. This reduces the reviewer's workload a lot.

Qiu Chengtong 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 facing 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 content 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 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, filled with densely packed 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, are you studying the Hodge conjecture?"

Gerd Faltings shook his head: "I am verifying a paper."

"Oh? Is it a paper about the Hodge conjecture? I have 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 Gerd The paper Faltins is reviewing proves the Hodge conjecture.

But 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 doesn't like 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: "Has the Hodge Conjecture been proven?"

"There is no doubt about it." Gerd Faltings sighed.

"Who? Who proved it?"

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

"Oh! I lost my composure." Schultz 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 feature, 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 Zeeland, come to my office for a meeting."

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