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Chapter 216 Peter, you have to listen to me!

Even at a report meeting, he is unwilling to be outdone by others. It can be said that this is the youthful spirit and the desire to win, but in fact it can also be understood that people with high IQs always have the ability to see the essence beyond the phenomenon.

For example, how to make others willingly unite around this little guy? It is nothing more than creating a community of interests.

A thousand people can have a thousand different thoughts. Especially those who do mathematics, they have even more thoughts.

The capable ones are promoted, the mediocre ones are demoted. This sentence is simple to say, but it is very difficult to put it into practice.

He can ignore the rules now, firstly because he is young and no one dares to argue with him. And if he is really angry, even if he flips the table, all kinds of public opinion will be on his side.

Secondly, he has Yuan Lao and Tian Yanzhen to help him, so he can naturally do whatever he wants.

But people grow up.

Things that he was able to do when he was a teenager would definitely not be suitable for him to do when he is in his twenties or thirties.

The former is clever and cute but ignorant of worldly affairs, while the latter is arrogant and conceited.

The solution is also very simple, set up the rules when he is still young and establish enough advantages.

Qiao Yu even felt that one Fields Medal was not enough because he was still too young.

If someone wins a Fields Medal when they are in their thirties, even if they don’t have any outstanding achievements in the future, they can still enjoy glory for the rest of their lives just by living off their past achievements. But he can’t.

Winning the Fields Medal at the age of seventeen, even if it is just silent for a while, some people may think that this is a loss to Zhongyong.

Therefore, he wanted to win the hearts of all the mathematicians over, so that after Mr. Yuan and his mentor retired, he could still use them at will. He should take advantage of the time when he can focus on his work and produce more.

Showing his ability is not a flash in the pan, and he must not let Yu Wei steal the limelight.

Just like that, another week passed in the blink of an eye.

There are only three days left until the report meeting scheduled for September 15th.

Foreign mathematicians who were invited to come have already arrived in Beijing. For example, Professor Andre, Professor Dennis, Professor Sam...

That’s right, the first group of people who arrived in China were mostly scholars who had previously collaborated with professors and researchers in China.

It's not easy to come here through mountains and rivers. Although not everyone thinks the same as Pierre Delini, it is somewhat uneconomical to come to China for a vacation just to attend a report meeting.

Coming two days early was just the right time to meet and chat with the professors I used to work with.

Especially those scholars who have cooperated with Huaqing or Yanbei School of Mathematics were very active in coming this time.

There are no secrets in the entire mathematical theory community. As long as they are well-known mathematicians, it is not a secret to know who is researching what and what papers they have published recently.

The same is true for those who are less well-known but have recently produced important results.

For example, reducing the upper limit of the prime number interval to 2 belongs to this category.

Since Zhang Yuantang proved that the upper bound of the prime number interval is bounded, it was narrowed down to 246 in a very short time.

Then more than ten years passed, and the number remained unchanged. Finally, the Western mathematical community used various methods to narrow it down to 26.
It was not until Qiao Yu came up with the generalized modal axiom system that this number was finally reduced to single digits, but it was never able to reach the limit value of 2.

But now someone has solved this problem.

It is obvious that the generalized modal axiom system has brought modern mathematics to a new stage.

At present, number theory, algebraic geometry, representation theory, etc. and other branches of mathematics can be used.

In fact, the judgment of many international scholars is the same as that of Lott Dugan. In recent times, Yanbei University has produced a lot of results, and the results were produced by different people. Everyone thinks that Yanbei University has more advanced teaching materials or learning methods.

It is very necessary to come to this situation sooner rather than later.

There are not many times when mathematics has made great progress like this. If you don’t seize the opportunity, once the dividends of this wave of development are exhausted, it will be difficult to become a famous figure for generations to come.

Yes, for those engaged in academic research, the most noble ideal is probably to leave their own names in the textbooks of future generations like their ancestors did.

From the distant past there are Newton, Riemann, Gauss... and from the recent past there is Hilbert... As long as one specializes in mathematics, he cannot avoid these names.

Human life is limited, but being remembered by generations is like the continuation of life. You must always fight for a chance for yourself.

So there are actually a lot of people who come early, even though Yanbei University only arranges for them to stay in the hotel one day in advance.

Fortunately, there are not many people that Qiao Yu needs to meet in person, only a few, such as Peter Schultz.

Yes, Peter Schultz was also one of the mathematicians who came to China in advance. As for the reason...

Maybe he was not very satisfied with Qiao Yu.

After all, when they were in Philadelphia, the two had agreed to work together to advance the work of using artificial intelligence to sort out mathematical theorems.

It has been a month since the International Congress of Mathematicians closed, and a month and a half since Qiao Yu returned to China, but Qiao Yu is still limited to email discussions with him.

Basically, it can be said that Qiao Yu's related work has not moved forward at all. As we all know, most mathematicians think that the work they are doing is the most important.

Peter Schultz is no exception, and even worse than him.

If his condensed matter mathematics project can be successful, its significance will be no less than the generalized modal axiom system proposed by Qiao Yu. Moreover, it can also take advantage of artificial intelligence to facilitate the mathematical community to use various more natural tools to deal with many problems.

Modular forms, modular spaces, and many algebraic geometry problems are included in this list.

Obviously, Qiao Yu has infinitely innovative thinking in mathematics, and at the age of seventeen, he has incomparable advantages in the research of condensed matter mathematics.

But Qiao Yu's attitude during this period really disappointed Peter Schultz. It is no exaggeration to say that Peter Schultz often calculated the time difference carefully and wanted to communicate with Qiao Yu, but every time they chatted for a few words, this guy would be busy with other things.

So he came to China three days in advance, just to see what Qiao Yu was busy with.

For Qiao Yu, the reason he met Peter Schultz was not because of this big man's status in the mathematics world.

They are all winners of the Fields Medal. As for other mathematics awards, it is not that Qiao Yu cannot win them, but his age is not suitable for them.

The reason he met Peter Schultz was mainly because of Qiao Yu's high moral standards - he promised everything to him in Philadelphia. But after returning to China, he first went back to Xingcheng and had a solid week of dating. After returning to Beijing, he started to be busy with all kinds of things, and indeed ignored this big man who had helped him a lot.

Peter Schultz arrived on the 12th, and on the morning of the 13th, Qiao Yu invited Peter Schultz to Qiuzhai of Huaqing.

It’s not that Qiao Yu has been in Huaqing all this time, but mainly because Qiao Yu is also very proud.

It was fine to entertain family members in his small room, but when entertaining international friends, it seemed more grand to have his own room.

It's not that Director Tian's office is bad, it's mainly because he just emptied out all his tutor's books not long ago. It hasn't been replenished yet, and the bookcase behind him looks empty, which is not very elegant.

Even his mentor has been too lazy to entertain guests in his office lately, let alone him.

It was different on Qiuzhai's side. Not only did Old Yuan prepare a spacious office for him, but the books he had borrowed from Director Tian were also stored here together with some of Old Yuan's books. The place smelled of books and was very prestigious.

So Qiao Yu rushed to Qiuzhai early in the morning with his computer on his back. There was no way he could waste time. Strictly speaking, there were only three days left until the report meeting, because the 15th was mainly for reporting grades, and his special report was scheduled for the morning of the 16th.

But unfortunately, his paper is not yet finished. Or his metaphorical modal space is not perfect yet, and there are still some issues that he has not thought through.

I'm just waiting for Peter Schultz to come and we can discuss this.

In essence, the key idea of ​​his metaphorical modal space is to describe the state in a complex system through a high-dimensional geometric space and provide a geometric framework for specific problems.

The quasi-complete space proposed by Schultz is also a high-dimensional abstract geometric space, which aims to connect different fields in algebraic geometry and solve some difficult problems.

So the two people's thinking patterns are similar in a sense. And they both use many tools of category theory.

Anyway, since they have come all the way here and flown tens of thousands of kilometers, Qiao Yu would feel embarrassed if he didn't make full use of the resources.

And the problem he is facing now is indeed quite troublesome. It is mainly the non-uniqueness of the high-dimensional mapping of the modal path.

In Qiao Yu's conception, one of the most important tools for simulating the evolution of quantum states is the modal path ΓMmodal, which is used to describe the evolution of quantum states in the modal space.

The problem is that in the local area, the mapping of the modal path is unique, but once it is enlarged to the entire high-dimensional modal space, the complexity of the high-dimensional topological structure will cause the path to often fail to maintain global continuity and consistency.

If the uniqueness of the path mapping cannot be guaranteed, there will definitely be multiple modal paths corresponding to the same evolution result. Then the true evolution trajectory of the quantum state cannot be determined during the simulation. There will be path bifurcations or path loops.

This means that the entire system's description of the evolution of the quantum state will no longer be reliable. In other words, the system is not robust enough and is very unstable, so it cannot be used directly.

Qiao Yu has also thought a lot about the solution these days, such as introducing topological constraints on the modal path to reduce the possibility of the path, or introducing path consistency correction.

The former cannot completely solve the problem, while the latter will make the system flashy because it will add a lot of verification calculations.

These are the key points of quantum computing. Not solving his metaphorical modal space is a joke.

The appointment with Peter Schultz was at 9:30 in the morning, but Qiao Yu arrived at Qiuzhai an hour early.

It took me half an hour to settle the issues at the Institute of Computing Technology, and then I opened the paper and started thinking hard.

Until someone knocked on the office door.

"Dr. Qiao, Professor Schultz is here." The person who brought Peter Schultz here was Professor Pan Jingyuan from Huaqing University.

There is no way around it as there are so many people who need to be received these two days. Basically, anyone from the Mathematics Research Center and the School of Mathematics on both sides who does not have classes has been called upon to be responsible for the reception.

Normally, the school's graduate student volunteers would be responsible for hosting scholars, but for a Fields Medal winner like Peter Schultz, students were not enough.

"Hi, Professor Schultz, long time no see." Qiao Yu immediately stood up and welcomed Peter Schultz into the room.

Pan Jingyuan smiled and said hello to Qiao Yu, then closed the door and left. In fact, he really wanted to hear what the world-renowned Eastern and Western mathematical geniuses talked about.

"Sit down. By the way, would you like some tea? Or coffee?" Qiao Yu asked after Pan Jingyuan left.

In order to entertain the guests, he specially asked Director Tian for a box of tea which was said to be of very good quality.

As for coffee, it was the kind of instant coffee that I bought in the school supermarket, which was also a branded product.

"Coffee, please." Peter Schultz said after hesitating for two seconds.

"Haha, Peter, you have great taste."

Qiao Yu smiled and complimented, then took out a bag of instant coffee from the drawer, stood up and personally helped Peter Schultz get a cup, and then found that there seemed to be no spoon.

It's a little embarrassing, but it doesn't matter. This guy didn't come here for coffee anyway.

Sure enough, when Peter Schultz saw Qiao Yu handing him the coffee, he was stunned for a moment, but he didn't say anything. He took it and put it aside. Then he said, "Joe, you promised me that when we were in Philadelphia."

"Wait a minute, Peter, let me tell you an idea. Once you listen to it, you will find that it is a very brilliant idea!"

Qiao Yu changed the subject directly.

Are you kidding? This is his home court, how could he let this guy lead him by the nose?
Peter Schultz really took the bait and asked casually, "Oh? What's your idea?"

Obviously the other side took the bait.

Qiao Yu said seriously: "Before I explain this idea to you, you need to answer me a question first. Do you also think that using Hilbert space to study quantum physics is far behind the times?"

Peter Schultz looked at Qiao Yu and said, "Joe, the best you can say is that Hilbert space is not an intuitive description of actual measurements.

The completeness of Hilbert space is very elegant. And it can be supplemented by distribution theory and Lie algebra. "

Qiao Yu shook his head and retorted: "Peter, you can't say something against your will just because Hilbert is your compatriot. The fact is that Hilbert space does not directly reflect the essence of physical phenomena.

For example, the process of wave function collapse is more like a mathematical abstraction rather than a real description of evolution.

Another example is quantum state measurement, where we only get probability distribution, and the vector properties in Hilbert space are useless. Am I wrong?"

Peter Schultz looked at Qiao Yu, who was beaming with joy, took a deep breath, and asked, "So you plan to create a complete space that can be used to study quantum physics and solve all the problems of Hilbert space?"

"Right!" Qiao Yu raised his hand and snapped his fingers, saying with a cheerful look.

(End of this chapter)