Chapter 153 International Congress of Mathematicians

It is August now. With the International Congress of Mathematicians approaching, not only is the mathematics community becoming more and more lively, but many domestic students are also paying attention and are looking forward to the list of awards at this year's conference.

In previous years, the country did not pay much attention to the awarding of awards in the field of mathematics such as the Fields Prize.

After all, it is obvious that it is impossible for any Chinese to obtain it.

I only feel regret after watching it.

But this year the situation is a little different because a true math genius has appeared in Qinghua.

Whether it is a major breakthrough in the twin prime conjecture or proving the Qiu Chengtong problem to put an end to the Calabi conjecture, they are both relatively important academic achievements in the field of mathematics.

Even if I can't win the Fields Medal for other reasons, I can definitely get something else.

If there is a chance to win the prize, it would be equivalent to completely changing the status quo of the Chinese mathematics community.

It has set a good example for the domestic mathematics community.

This International Congress of Mathematicians will be held in Madrid, Spain in late August.

After Xu Yuan finished helping at the Space Technology Research Institute, he stayed in the office assigned to him by the department, writing the one-hour report for the International Congress of Mathematicians.

He had already received an invitation from the organizers to give a one-hour report at the conference.

This is also a tradition of the conference.

The report must be submitted to the conference before it officially begins.

Because he had been thinking about the content of the report for a long time, and would do calculations and try to verify it when he had time, it was not difficult to write it.

After all, he is not asked to prove any difficult conjecture.

-

Friday, August 2006, 8, School of Mathematics, Qinghua University.

After receiving the call, Xu Yuan came to the department director's office. As soon as he pushed the door open, he saw that in addition to Liao Fangyi, his mentor Tang Shihong and Professor Qiu Chengtong were also in the room.

It is worth mentioning that Qiu Chengtong has now officially joined Qinghua and served as a visiting professor at the Qinghua Institute for Advanced Studies.

As a result, the overall strength of Qinghua University's Department of Mathematics has been further improved, and it can be said that it has surpassed Yenching University.

Before I had time to say hello, Liao Fangyi's voice came to my ear.

"Why are you still standing at the door? Come and sit down."

Xu Yuan was naturally not at all reserved in front of them. After greeting everyone one by one, he walked to the sofa and sat down.

Although Liao Fangyi did not tell him the reason for coming over the phone, but seeing that several people were here, he could basically guess that it was about the Mathematicians' Conference.

After all, it was his first time participating.

And the situation was just as he expected. As soon as his butt touched the sofa, he heard Tang Shihong ask, "How did you do with the one-hour report for this conference?" His eyes were full of concern for Xu Yuan.

He naturally knew that Xu Yuan had not been fully focused on mathematics in recent months and was arranged by Xu Chongxing to help at the Space Technology Research Institute.

Although he was not very satisfied with Xu Chongxing's approach in his heart and wanted Xu Yuan to spend more time on mathematics, it was Xu Yuan's own choice to study two subjects at the same time.

It was difficult for him to stop it forcefully.

But not everyone can give a one-hour report. Being able to give a report in such an occasion represents authority in the mathematics community.

Naturally, we must pay close attention to the contents of the report and not just deal with it perfunctorily.

Otherwise, you will only bring shame to yourself and your country.

After all, every conference will have many outstanding mathematicians from all over the world attending to listen to lectures and reports.

After listening to Tang Shihong's words, Xu Yuan did not hesitate and answered affirmatively directly.

"Already done."

Liao Fangyi, who was standing nearby, heaved a sigh of relief upon hearing this. The next second, a happy smile appeared on his face and he said, "I said it's just a one-hour report. With Xu Yuan's ability, there's no need to worry at all." He was not stingy with his praise for Xu Yuan while speaking.

"That's good." Tang Shihong nodded.

Qiu Chengtong next to him was quite curious and asked, "Which direction is the content about?"

"Research on singularization of differential geometry." Xu Yuan calmly stated the content of his research.

When Qiu Chengtong heard this, his face suddenly froze and a look of surprise appeared on his face.

"I didn't expect you to choose this."

"Singularization research is one of the core problems in differential geometry that is recognized by the international scientific community."

He is naturally familiar with singularization. If asked about its specific difficulty, he can only say that it is defined mathematically as something that cannot be differentiated and has no differential structure.

Simply put, it is to analyze something that is infinite everywhere.

To solve this difficult problem of differential geometry is equivalent to developing new theories and new tools based on the work of predecessors.

This shows how complicated it is.

Xu Yuan was indeed confident in choosing the topic of singularization of differential geometry as the content of his report at the conference.

"I have been doing a lot of research on differential geometry recently, so I chose singularization in differential geometry." Facing Qiu Chengtong's surprise, Xu Yuan said confidently with a smile on his face.

The study of singularization in differential geometry is indeed difficult. He became interested in singularization during his study of differential geometry, and then began to work on calculations, proofs and verifications.

Differential geometry singularization also plays a very important role in robotics research.

For example, the robot's posture representation, trajectory generation, and obstacle avoidance are all inseparable from differential geometry. If it were someone else, it might be difficult to achieve results in a short period of time, and not enough to report at the Mathematicians' Conference.

But relying on his mathematical knowledge and experience, as well as theories in proving other conjectures, Xu Yuan successfully concluded that under certain backgrounds, singularity is not random, but has a specific structure.

It can be said that the structure theorem of singular sets has been basically proved.

Fill the research gap in this field.

In addition, in real life, heterosexual phenomena are everywhere, from small cracks in a broken glass to large black holes in the universe, these are all strange phenomena.

After listening to Xu Yuan's words, Qiu Chengtong raised his eyes and looked at Xu Yuan's familiar and confident face. Suddenly he thought of something and asked hurriedly: "Could it be that you have already made some research results on the singularization of differential geometry?" There was a mixture of surprise and joy in his tone.

After all, if this is true, it means that after Xu Yuan solved the Qiu Chengtong conjecture, he has made achievements in the field of differential geometry.

The speed at which mathematical academic results are produced is a bit too astonishing.

As soon as these words came out.

Even Liao Fangyi and Tang Shihong cast their gazes over, waiting expectantly for Xu Yuan's answer.

Seeing the expressions of several people, Xu Yuan did not explain in detail.

After all, it is such a complicated mathematical topic that it would take a long time to explain it.

"There are some results. You will know when you pay attention to my one-hour report."

Liao Fangyi, Tang Shihong and Qiu Chengtong were all elders who knew Xu Yuan well. When they heard Xu Yuan say this, they understood that it was a sure thing.

The smile on his face grew even brighter when he heard that.

Seeing that there was no need to worry about the content of the report, Liao Fangyi then turned the topic to the conference itself.

"We are going to Madrid to attend the Mathematicians' Congress this time. Our team will be led by Academician Ma, Chairman of the Mathematics Council. You can just go with him."

"Since this is your first time attending a mathematicians' conference, let Professor Qiu talk to you first."

Xu Yuan knew that Liao Fangyi and Tang Shihong would not attend the conference, but he couldn't help but ask about Qiu Chengtong.

"Professor Qiu."

"Aren't you going to attend this conference too?"

"I have just arrived at Qinghua and there are still many things to deal with in the hospital."

"Let you represent me."

Qiu Chengtong had nothing to hide, so he explained to Xu Yuan with a smile.

After that, he followed Liao Fangyi's words to introduce the procedures and precautions for the International Congress of Mathematicians.

"At every Mathematician Congress, the list of Fields Medal winners is announced at the opening ceremony. However, this year's list has probably been finalized long ago, so it's normal if you're not on it."

"There's no need to deny yourself because of this."

"In addition, this year's Mathematical Congress has added a new award. In short, there is still something to look forward to."

……

Qiu Chengtong finished his speech in just a few minutes, and Liao Fangyi and Tang Shihong also added to their comments.

Xu Yuan naturally understood what they meant. They were just worried that if he returned empty-handed from the conference, he might become self-deprecating and this would affect his subsequent state of mind.

After all, the outside world is very much looking forward to him, and there are even comments that he wants to win the Fields Medal to bring glory to the country.

However, in this situation, we can only say that Liao Fangyi and others' worries are completely unnecessary.

Because if he really returns empty-handed in the end, it will only arouse his desire for challenge even more.

At worst, I can solve one of the seven most difficult mathematical problems in the world. I don’t believe I won’t win the Fields Medal by then.

You should know that Perelman, who solved the Poincare conjecture, can be said to have already been selected for this year's Fields Medal.

Unfortunately, this unique mathematician only has the purest mathematics in his mind and does not like to interact with the international mathematics community.

Not only did he reject the million-dollar prize offered by the Clay Mathematics Institute, but he may not even attend this year's mathematician conference.

Originally, Xu Yuan wanted to take this opportunity to communicate with the mathematician, but now it seems that there is only regret.

The thought stayed here. Xu Yuan stood up and nodded to the three people in the office.

"I understand everything."

There was nothing else to say here, so after exchanging a few pleasantries, Xu Yuan turned and left.

Two days later.

Xu Yuan simply packed his luggage, and with Chen Yuran's farewell, he went to the airport to meet up with Ma Zhiming and others, and took a flight to Madrid to attend the meeting.

Li Zhenya, Wang Haitao, Liu Yang and others in the dormitory all called even though school had not started yet.

They all cheered him on and encouraged him to bring back the pure gold medal for his brothers to touch.

At the same time, many people in many forum penguin groups were also discussing Xu Yuan's participation in the International Congress of Mathematicians.

There is no doubt that because of Xu Yuan’s presence, even the last International Congress of Mathematicians held in Yenching did not attract as much public attention as this one.

However, Xu Yuan is currently unaware of these situations, because he has already boarded a plane with invited mathematics professors such as Ma Zhiming to Madrid to attend this International Congress of Mathematicians.

……

(End of this chapter)