The top student must be diligent

Clicking to send the email, he finally stopped paying attention, turned off the computer, and prepared to go to sleep.

On the other side, Berezovsky and the others gathered in front of the computer, waiting for Xiao Yi's reply.

As the computer rang with the notification of a new email, they hurriedly opened the new email.

Then, they were all stunned.

So, has the quality gap issue really been proven?

For a moment, they looked at each other, each seeing shock in each other's eyes.

In addition, does this also mean that they have become the first people in mathematics to know that the mass gap problem has been proved?

Berezovsky reacted quickly and immediately commanded: "Quick! Publish the topic of Xiao Yi's report on the website."

"Our conference this year will probably be the most eye-catching one in history!"

…

the next day.

Institute of Mathematics, Max Planck Society, Bonn, Germany.

"Today seems to be the day when the International Congress of Mathematicians will announce the details of all reports?"

In an office, Faltings asked Schultz.

"Really?" Schultz thought for a moment, then nodded: "It seems like today is the day."

So he turned on his computer and entered the official website of this year's International Congress of Mathematicians.

This year's International Congress of Mathematicians is being held in St. Petersburg, Russia, which is not far from them, so of course they will participate.

Since you want to participate, you should take a look in advance to see what these reports will talk about and find out if there is anything you are interested in. This can be considered as preparation in advance.

Professional mathematicians like them are naturally not like other ordinary mathematics scholars or enthusiasts. They attend academic conferences purely for fun and entertainment, never listen to a report, and never skip a tea break.

They still hope to learn something from this meeting.

However, just after he opened the website, a huge piece of news on the homepage attracted his attention.

[Plenary lecture: There is a strictly positive mass gap in Yang-Mills theory, speaker: Xiao Yi].

"Walter?!"

When Schultz saw this news, his eyes widened and he exclaimed.

Faltings, who was next to him, was startled by his exclamation, and immediately said angrily: "Why are you shouting? You were so surprised, you didn't know that I am already old?"

However, Schultz had no time to argue with Faltings about this matter. He pointed at the screen and said: "He, he, he... Xiao Yi has decided to talk about the quality gap issue at the conference!"

"Huh? What?!"

After hearing Schultz's words, Faltings no longer cared about what had just happened, and immediately got involved. Then, the "big" news that was promoted on the home page immediately caught his sight. middle.

So, he also showed an incredible expression: "He...has proven it? How did he prove it? What method did he use to prove it???"

Three questions in a row fully expressed the uneasiness in his heart at this time.

"Who knows?" Schultz spread his hands.

Does he know?

He wants to know too!

It is almost universally acknowledged that if you want to prove the mass gap problem, you will definitely need to use new mathematical tools to do it, and it will definitely be a new tool in algebraic geometry or topology. Of course, it may also be a combination of both. .

For mathematicians like them, they really want to know what kind of method can be used to prove the mass gap problem.

"I didn't ask you, don't be narcissistic."

Faltings certainly didn't expect Schulz to answer, and then urged: "Hurry up and take a look. The topics of the report are all there, and there should be a summary, right?"

Schulz glanced resentfully at his old man, who could probably be called his teacher.

You don’t know it yourself, so why do you think I’m narcissistic?

However, he still clicked on the link honestly.

The web page jumps and then enters this news link, which mainly tells the details about Xiao Yi's report.

[Just yesterday, the conference organizing committee received news from Mr. Xiao Yi that he had successfully proved the existence of the Yang-Mills equation and the mass gap problem.

As we all know, the existence of the Yang-Mills equation and the mass gap problem are one of the seven millennium problems proposed by the Clay Institute in 2000. It mainly involves the Yang-Mills theory in quantum field theory and is also a A rigorous mathematical physics problem, it also requires the use of a large number of mathematical methods to solve.

If this problem can be solved, it will be a huge breakthrough for both mathematics and physics. Especially for mathematics, it is likely to mean the emergence of some new mathematical methods, which may contribute to mathematics. has a very important influence on the world.

In order to show the importance we attach to this report, and to allow Mr. Xiao Yi more time to report, and to prevent everyone from waiting too long, we have decided to adjust the time for Mr. Xiao Yi’s report to July 6th. It will be held on the first day of the conference, and the opening ceremony of the conference will be postponed to that evening.

If you want to view the theme and summary of this report, please click on the link: www.icm2022.org/……]

"Oh! It was actually specially arranged on the first day, and even before the opening ceremony."

Looking at the news, Schultz was surprised.

"That's good. At least it's not on the last day. Otherwise, a lot of people would be anxious to death waiting for this report." Faltings said: "And they got the news from Xiao Yi. Now it should be basically confirmed."

Schultz nodded. Xiao Yi had already confirmed it. Based on his past record, this wave was probably really proved.

Then he clicked on the link below: "Look at the summary."

Then, they finally saw the summary of this report.

[For any compact simple gauge group G, there is a non-trivial quantum Yang-Mills theory on R^4, and the mass gap Δ\u003e0.

This is a description of the Yang-Mills existence and mass gap problem by A. Jaffe and E. Witten, and it is also the official statement of the seven millennium problems of the Clay Institute. This problem is not only of great significance in theoretical physics, but also an important unsolved problem in mathematical logic and mathematical physics.

In this report, we will discuss how to prove the existence of Yang-Mills and the mass gap problem, and focus on a key new mathematical method: the Hodge-vertex algebra analytical method, and the significance of the conclusion in physics. 】

After reading this summary, both of them immediately caught the most critical thing.

Schultz: "Hodge-vertex algebra analytical method... This should be the new mathematical method he created, right?"

Faltings nodded slightly: "According to the name, it mainly uses Hodge theory and vertex algebra?"

"Vertex algebra... a good idea."

The two looked at each other, as if they could see the impatience in each other's eyes.

It's like a gamer who learned about a very interesting game and was very eager to play it, but there were still three months before the game was officially launched, which was anxious.

Moreover, to some extent, their desire for this new method may be stronger than those game geeks' desire for new games.

After all, there is electronic impotence in the game, but their curiosity for mathematics will not be impotent.

…

What happened in the Max Planck Institute of Mathematics also happened in many other mathematics-related schools or research institutions on the earth.

In an instant, this report, which had not yet started, immediately became the focus of everyone's attention.

Just like the Poincare conjecture back then, it was even more popular. After all, when the Poincare conjecture was proved, the network platform was not as developed as it is now.

The Hodge-vertex algebra analysis method mentioned by Xiao Yi in the abstract also spread throughout the mathematics community immediately.

Almost all mathematicians in the world are asking: What is the Hodge-vertex algebra analysis method?

But obviously, only one person in the world knows the answer now.

If others want to know, they have to wait until the report nearly three months later.

Of course, compared with the achievements in pure mathematics, the significance of the mass gap problem in physics is more attractive to ordinary people.

After all, keywords such as the four fundamental forces of the universe, a new particle, and cosmology are obviously much more attractive than algebraic geometry, projective clusters, and Hodge theory.

Otherwise, why do Nature and Science like such manuscripts?

Therefore, this news quickly spread from the mathematics community to the physics community, and for a time, it made theoretical physicists around the world even more excited.

They all wanted to know how Xiao Yi's proof could help them deepen their understanding of the strong interaction force, whether they could use it to understand the X field, and the possibility of unifying the strong interaction force and the weak interaction force.

As a result, the International Congress of Mathematicians received a large number of applications from physicists to attend the conference.

For a time, the conference three months later seemed to have become a feast for the mathematics and physics communities.

Time also passed quickly.

The days of 2022 have officially entered July!

The International Congress of Mathematicians is about to be held!

Chapter 172 The Creed of Science

Kyoto University-Chen Muhua: [Photo.jpg].

Kyoto University-Chen Muhua: [Brothers, I am ready to board the plane. Don't miss me in China. I will witness it for you. 】

The joint exam group created two years ago is still very popular, and even the group chat level has been raised to a very high level.

This is naturally inseparable from the contributions of those guys who are in the group every day.

At this time, Chen Muhua posted a photo in the group. He was sitting in an airplane, with the view of the airport outside the window. At the same time, he also put the ticket in the middle, and the flight above was from Shangjing to St. Petersburg.

Today is July 3, and there are only 3 days left before the century report conference that can be called mathematics and physics.

It is time for Chinese mathematics scholars and enthusiasts who are going to attend the conference to leave.