At the end of July, Rio de Janeiro, Brazil's second-largest city in the southern hemisphere, has been bustling with activity since the 30th.

The quadrennial International Congress of Mathematics will be held here, and mathematicians from all over the world will gather here.

As the largest and most important large-scale exchange meeting in the field of mathematics, the International Congress of Mathematics is the most important event in the field of mathematics.

The congress is held every four years, and the first congress was held in Zurich, Switzerland in 1897, and has a history of more than 100 years.

It is a global academic conference in mathematical sciences and is known as the Olympiad in the field of mathematics.

Since the first conference was held in 1897, it has a history of more than 100 years, witnessing the rise of top mathematicians one after another, such as Poincarais, Hilbert, Klein and other great mathematicians have participated in this grand event.

This year's Mathematics Conference will witness a new batch of young mathematicians rising like bright stars.

Xu Chuan, the youngest tenured fellow at the Institute for Advanced Study in Princeton; Peter Schulz, the highest-ranking W3 full professor at the University of Bonn, the Germanic state, Kaucher Birkar, a young mathematician who came out of the war-torn region, and Australian professor Al-Aksa Yin Venkatsh, who won medals in both the International Physics and Mathematics Olympiads........

Too many outstanding young mathematicians gathered at this grand event, waiting for the highest glory in mathematics - the Fields Medal.

Among these people, the most anticipated is Xu Chuan, a young scholar from China.

The two presentations registered on the official website of the International Mathematical Union (IMU) are highly anticipated.

One is about the Xu-Hodge theorem, and the other is about the Xu-Weyl-Berry theorem.

Predictably, these are probably the two most brilliant and lively presentations at this year's International Mathematical Congress.

The former is one of the seven millennial problems in the mathematical community, a hotspot that has attracted much attention, a century problem related to the 1 million meter gold prize for Clay's mathematical research, and a bridge connecting algebraic geometry, topology and mathematical analysis.

What is certain is that almost all of the mathematicians who attended the conference would have attended the presentation, if nothing else.

Regardless of Hodge's conjecture, the proof paper has been peer-reviewed for months, but no more than one percent of the math community can figure out the paper.

Of course, this kind of proof paper of top-level mathematical conjecture is not intended for ordinary mathematicians.

It is no less difficult for the average mathematician to understand this paper than it is for scholars in the fields of astronomy and astrophysics to understand the extended application of the xu-weyl-berry theorem.

But as a bridge between the three fields of algebraic geometry, topology, and mathematical analysis, its importance is unquestionable and valuable.

In particular, the value of proving that the core tool in the paper, the 'algebraic cluster and group mapping tool', is even more amazing.

Not only Xu Chuan himself, but many mathematicians in the field of topology have noticed its remaining potential.

This mathematical tool also has great potential for other problems in the Hodge-like conjecture, so many mathematics professors are studying algebraic cluster and group mapping tools.

It's just that there are so many areas of mathematics involved in this tool that it's hard to figure out in a short period of time.

If the creator explained it in detail, it would be much easier to understand.

Therefore, many mathematicians are rushing to Xu Chuan's report, after all, if they can use this tool to solve a world-class problem, they may also have the opportunity to touch the highest glory in the mathematical world.

As for the extended application of the Xu-Weyl-Berry theorem, there are many mathematicians who pay attention to this report, but not as many as the Xu-Hodge theorem.

After all, this mathematical achievement has been out for two or three years, and mathematicians in the field of isospection have basically studied relevant papers.

More astronomers and astrophysicists invited by the International Mathematical Union were paying attention to this presentation.

For them, the extended application of the xu-weyl-berry theorem can lead to great results, and it is not impossible to win the Nobel Prize in physics.

The New Zealand professor of astrophysics who discovered the 'trappist-1' star system last year was on the Nobel Prize shortlist, and if it weren't for the discovery of gravitational waves, it would be so shocking that he would even have the opportunity to touch the world's highest honor.

People in the astronomical and astrophysical circles really don't know what the judges of the Royal Swedish Academy of Sciences are thinking.

Obviously, the extended application of the Xu-Weyl-Berry theorem is worthy of the Nobel Prize in Physics, even greater than the discovery of gravitational waves, after all, gravitational waves are not the first time they have been discovered, and their importance is far less than the first discovery, but those NT committees just refused to award him the Nobel Prize.

A tool that can accurately calculate the parameters of distant celestial bodies is of great importance to humans.

It may not be possible for humans to immigrate to outer galaxies now, but it can help humans save countless time and energy in the future to sift through the vast sea of stars and countless galaxies to find those planets suitable for human immigration, just like this New Zealand professor found the 'Trappist-1' galaxy and found a second 'Earth'.

In this respect, its value is no longer something that the Nobel Prize can describe.

......

On July 31, with his four students, Xu Chuan came to Rio de Janeiro, Brazil.

Although tomorrow is the opening ceremony of the conference, the hotel arranged by the International Mathematical Union is already crowded.

After getting out of the taxi and walking into the door of the hotel, Xu Chuan was recognized.

"Professor Xu Chuan?"

A middle-aged man saw Xu Chuan walking in, and after calling in surprise, he walked over quickly, and in the wide hotel hall, the attention of others also attracted it.

"Hello."

Xu Chuan smiled and greeted the stranger in front of him, he didn't know this person, but as he proved Hodge's conjecture, this kind of thing was quite normal to be recognized by others.

Just like when he was still studying in the past, he would take the initiative to greet top elders such as Deligne and Witten who met for the first time. It's just that he's now the one being visited.

"Professor Xu, it's a pleasure to meet you, my name is Atholl Bennett, I am an astrophysicist, and the extended application tool of the Xu-Weyl-Berry theorem you created is the greatest mathematical tool I have ever seen in my life, you are amazing!"

Atholl Bennett, who stepped forward, enthusiastically stretched out his hands and slapped him with a boastful fart.

Xu Chuan didn't care, and said with a smile: "The ability of mathematics is there, it just depends on whether you can find a way to use it, the xu-weyl-berry theorem is just a weak part." ”

"You are so humble, this is the greatest tool in astronomy, it can bring the future of mankind." Atholl Bennett shook Xu Chuan's hand.

After a pause, Professor Atholl said with some grievances: "It's just that it's too profound, I've studied it for more than a year, and I still haven't been able to fully grasp its usage." ”

Xu Chuan: "I hope the report the day after tomorrow will give you some understanding." ”

"I'm ready, just waiting for the report to come." Atholl's expression was excited, but then his tone changed, and he asked cautiously, "But before that, can I ask you for a contact information?" Mailboxes are also available. ”

Xu Chuan smiled and said, "Of course it's no problem." ”

Hearing this, the other scholars in the hall also spoke.

"Professor Xu, can I also ask you for a contact information? I have some math questions I would like to ask you for. ”

"Kawajin! Can you take a picture with me? ”

"Can you sign me? I want to give it to my son, and I hope he will be as good as you in math as well. ”

The surging crowd surrounded Xu Chuan, like a zombie seeing a living person, raising his hands and shouting frantically.

And Gu Bing and Amelia have been squeezed out, standing outside the encirclement, you look at me, I look at you, looking at each other, not knowing what to do.

Fortunately, the staff of the International Mathematical Union who arranged to receive guests in the hall discovered the situation and ran over in time to rescue Xu Chuan from the crowd.

......

After dealing with the other scholars in the hall, Xu Chuan breathed a long sigh of relief, took the four students to check in, and just as he was about to go upstairs, he saw several familiar figures.

After seeing the figure in front of him clearly, his eyes lit up and he walked over quickly.

"Academician Pan."

Xu Chuan walked quickly to the front of the team and stood in front of an old man.

The old man in front of him was none other than Academician Pan Deming, a great mathematician whom he had met at the award ceremony of the Claford Prize.

Seeing Xu Chuan, Pan Deming walked out of the team quickly, held Xu Chuan's hand tightly, and had a smile on his face.

"See you again, Professor Xu Chuan."

"Why are you here in person, it's too tiring to travel long distances."

Xu Chuan greeted with a smile. The old man in front of him was already in his eighties and almost ninety years old, and he didn't expect to fly over from China at this age.

"Compared to the energy you spent on proving Hodge's conjecture, what did I calculate by running around, I walked dozens of kilometers in the Taklamakan Desert back then, not to mention that now I only need to sit on planes and cars."

After a pause, the old man looked Xu Chuan up and down, and sighed: "How many years have our country finally produced such a mathematician, you are the glory of the country." ”

"Pan Lao said seriously, I just did what a scholar should do." Xu Chuan said modestly.

Pan Deming smiled and didn't continue on this topic, but turned around and said, "I'll introduce you to two people." ”

"Zhang Wei and Xu Chenyang are both outstanding young mathematicians, so I may be able to communicate with you about mathematical problems."

Xu Chuan naturally knew the golden generation of Peking University, but he didn't expect these two to come with the team of Peking University.

After all, both of them are now working at universities in the United States.

After shaking hands with the two of them respectively, Xu Chuan greeted with a smile: "Great God, I said goodbye last time, I haven't seen you for a long time." ”

"Yang Shen, I have heard of your name since I was in school, and the problem of linear increase of algebraic cluster automorphism group that you solved has given me a lot of inspiration."

Zhang Wei, who was thin and wore frameless black glasses, smiled and teased: "In front of you, the god of Sichuan, this title is unacceptable." ”

On the side, Xu Chenyang, who was fat, also said with a smile: "The young generation under the age of forty, who dares to call God in front of the Sichuan God?" Schultz probably didn't dare. ”

Xu Chuan rolled his eyes slightly, and said helplessly: "The two great gods don't tease me." ”

The three of them communicated with each other, and the huge team of Peking University behind them scattered in all directions, looking at the few people in front of them who were communicating with a little commotion and excitement.

The team at Peking University is very large, with a total of thirty or forty people, but most of them are students who have come to meet the world with their mentors and professors.

After seeing Xu Chuan, these students, who are basically older than Xu Chuan, are like star-chasing fans seeing the stars they are chasing, their eyes are shining and they are excited.

If it weren't for the scene in front of the big old town, these students would have to rush up to sign autographs, ask for group photos, and breathe in Europe.

After all, they have heard the name Xu Chuan too much.

Starting from the proof of the weak Weyl-Berry conjecture, to the Xu-Weyl-Berry theorem, to the Xu-Hodge theorem, to the Ns equation......

There is everything about the name, it is a legend.

For any young Chinese scholar who is interested in further progress in mathematics, the name Xu Chuan is like a bright beacon on the coastline, guiding them forward; It is also like Mount Everest, looking down on the plateau of mathematics, and more like the sun hanging in the sky, exuding bright brilliance, which can be seen but unreachable.

.......