You say you have an iron will, are you serious?

Chapter 363: Has Professor Zhao always been so demanding?

Cognition of an unknown thing or an unknown person often goes through three stages.

The first stage is from unfamiliarity to familiarity. This stage is often full of imagination and yearning for the unknown.

The second stage is from familiarity to understanding. In this stage, cognition will often be reversed.

In the third stage, it is the process from understanding the unfamiliar to becoming familiar again, and the cognition is reversed again.

There are two reversals. The first reversal is completely opposite and subversive; the last reversal is systematic, because at this time, we have a comprehensive understanding of unknown things or unknown people.

Zhao Mo's understanding of Professor Qiu also went through these three stages.

At first, he thought Professor Qiu was very powerful; then after getting to know him better, and as his achievements improved by leaps and bounds, he began to feel that he was basically the same as himself. It was not until he won the Fields Medal that he changed this idea and realized that Professor Qiu It is indeed extraordinary and has a correct and comprehensive understanding.

Professor Qiu is very in-depth in his research on the existence of the Yang-Mills equation and the mass gap.

Or rather, a large number of physicists and mathematicians currently conduct research on the Yang-Mills equation, basically following the direction pointed out by Professor Qiu.

"...The study of the correlation between the curvature of Riemannian manifolds and the fundamental group has always been my core research work, especially the Ricci curvature. The proof tools and proofs of Poincaré's conjecture and Smith's conjecture are all Developed from this. Including Calabi’s conjecture..."

Also, how could the elegant geometric structures I painstakingly construct not be recognized by nature?

Look at what he said, although it is an understatement, it is very domineering!

He knew that this conjecture solved many important problems in the field of algebraic geometry. It was the beginning of modern geometric analysis and was of great significance in the history of mathematics!

Of the two paths, it's hard to say which one is better and which one is worse. At least for now, he still has to follow this path until he completes the first main mission.

"...Unfortunately, some of the inferences of this kind of nonlinear analysis in algebraic geometry cannot be achieved through traditional algebraic geometry methods, which often only deal with objects of limited dimensions. For example, the popular Chen number characterization of spherical quotient algebra, Chen number characterization of projective flat algebraic bundles. The fundamental reason, I think, is that it is difficult for algebraic methods to handle algebraic manifolds with infinite fundamental groups..."

Listening to Professor Qiu's explanation, Zhao Mo secretly marveled, but also felt a strong sense of Versailles.

His research path is different. Although his core advantage is mathematics, he is not immersed in mathematical research, but does research for a purpose, which is very complicated.

In the paper on bounded distances between prime numbers, Zhao Mo used the method inside.

Zhao Mo listened carefully and expressed his own opinions from time to time.

Professor Qiu explained the progress of his research on the Yang-Mills equation, talked about the problems encountered, and gave the general direction. Finally, he said with a smile: "Now that Professor Zhao is involved, I believe there will be results soon." , I can’t wait~”

Good guy, even though Witten is a big boss, he only came up with the important basic theory of string theory after communicating with me.

How could my research results be meaningless?

Professor Qiu seemed very happy about Zhao Mo's arrival. This was the first time that Zhao Mo took the initiative to ask him for advice.

So, that afternoon, instead of doing anything else, he patiently and detailedly told Zhao Mo about his research work in this area in the office.

When I suddenly heard what he said next, I immediately felt humble.

……

Professor Qiu immersed himself in the research of mathematics, and then extended the research results of mathematics to physics, which is the kind of person who knows everything.

"...there is a Hermitian-Young-Mills connection on a stable bundle of vectors. This is also a very natural structure. However, Witten did not agree with my idea. He wrote a paper on vector bundles of heterogeneous string theory~"

"...Many people think that the Keller manifold with Ricci curvature cannot be used in physics, but I think this is wrong. This is an elegant geometric structure that I have painstakingly constructed. How could it not be recognized by nature? Facts Proving that my idea was right, Witten came to me in 1984 and asked me about Keller manifolds. We chatted for a whole day in San Diego. Later, Witten worked with Candelas, Horowitz, and Stern Rominger co-wrote a seminal paper constructing Calabi-Yau meteors for string theory, a beautiful collaboration between mathematics and physics~"

"It turns out that Professor Qiu has been doing related work since 69. The existing algebraic geometry methods cannot handle the problems encountered. So it seems that new things need to be introduced?"

Zhao Mo sighed and began to think along the lines of the questions pointed out by Professor Qiu.

It turns out I would be right!

And what about the final fact?

It does prove that I am right!

Zhao Mo suddenly thought that Professor Qiu's research path was very different from his own. They were two completely different models. Professor Qiu's research path was more natural and focused.

But when I thought about it, the time given by the system was only three months, so there was nothing wrong with Professor Qiu's "very soon" statement.

Compared with the forty-two years from 1969 to now, what is the three months he is about to spend not "soon"? That's very fast!

So, he hesitated for a moment and said with a smile: "This work is very interesting and I think it is very challenging. I want to see if I can achieve something within this year."

As soon as these words came out, Professor Qiu, who had been smiling expectantly just now, suddenly became confused: "..."

Good guy, have you made any gains this year? It's already October and a half, and there are only two and a half months until next year. Even if you include the lunar calendar, it's only a little over three months. Are you ready to achieve something in such a short time?

He thought for a while, and when he was about to speak, Zhao Mo suddenly got some inspiration after thinking for a while, and said with interest: "Professor Qiu, I just thought about it, maybe we can use the J equation proposed by Donald Introduce..."

Professor Qiu was startled and immediately swallowed what he was about to say. Instead, he asked curiously: "What do you mean?"

Zhao Mo thought for a while again, then picked up the paper and pen on his desk and started writing.

Professor Qiu was startled again and thought: "Isn't it right? You will be inspired after listening to it?"

He looked over quickly.

The next moment, he saw that Zhao Mo was introducing the J equation complex differential geometry to build a bridge and connect the Hermitian-Yang-Mills equation and the Keller-Einstein equation in series. A look of surprise and joy naturally appeared on his face.

He knew Zhao Mo's genius, after all, there were so many achievements.

Therefore, Zhao Mo came to him to ask questions related to the Yang-Mills equation. He was very happy to answer what he knew, and also gave detailed answers to the parts he knew.

However, Zhao Mo said that he had made some achievements this year, which still left him a little "at a loss".

It's not "child's play", but it's definitely not "serious" either.

Unexpectedly, Zhao Mo gave him a surprise on the spot, and he was inspired on the spot to start the calculation work.

Professor Qiu stopped talking and even held his breath. He stood up and bent slightly, staring closely at the calculation work in Zhao Mo's hands.

Soon, his surprise became more and more intense, because Zhao Mo not only introduced complex differential geometry to build bridges, but also began to solve the J equation that Donald had proposed for a long time.

Time flies when you are immersed in research.

I don't know how long it took, but the sun was setting in the west and was about to fall in the sky. The rays of rays just shined through the window into the office, illuminating the entire office in orange-red.

The eyes of the two of them were shaken. Zhao Mo, who had been calculating, wrote the last word, smacked his lips, and said with a look of regret on his face: "It's a pity, that's all I wrote today, I have no inspiration for what follows." Already~"

After hearing the voice, Professor Qiu, who came back to his senses, looked at him like a monster, and even hesitated when he spoke: "What a pity for you~?"

Zhao Mo was startled, but then he came to his senses and explained with a smile: "This is just a special solution. Although there is some progress, in the end, the Yang-Mills equation has not been truly solved."

Listening to his words, Professor Qiu couldn't help but smile bitterly and said: "Although it is a special solution, if we go one step further and have a general solution, it will be another Fields Medal. Professor Zhao, your requirements have always been so high." Of?"

The traditional Yang-Mills equation describes the interaction of elementary particles in flat space-time, but it does not introduce the general theory of relativity and does not describe the interaction of elementary particles in curved space-time.

Different space-time curvature states are mathematically different manifolds.

To solve the Yang-Mills equation under such conditions requires not only differential geometry, but also non-commutative groups of algebraic geometry, which is extremely complicated.

Zhao Mo's calculation just now was to find the solution to the Yang-Mills equation under the supercritical Hermitian condition. It is a special solution and does not have general properties.

But in his opinion, the solution of this special solution is still of great significance!

Unexpectedly, Zhao Mo actually disagreed. Where can I explain this~

"Ahem, who told me to already have Fields~"

Zhao Mo coughed twice and made a joke. Seeing Professor Qiu's face showing a speechless expression again, he said with emotion: "Actually, for me now, and Professor Qiu, there are only Really completing the solution to a problem is something worth bragging about~"

Professor Qiu was suddenly stunned: "..."

It seems that this is indeed the case!

Looking at the time, it was already six o'clock in the evening.

Zhao Mo originally thought about going to the laboratory to follow up on the experiment with Zhao Bufan, but now he thought about it and decided not to go. After saying goodbye to Professor Qiu, he sent a message to Zhao Bufan saying that he would see him again tomorrow.

Then, Zhao Mo went to pick up Yang Chan and go home together.

That night, before going to bed, Zhao Mo edited the content of today's calculation into a paper and sent it to Zhou Zuojian via email. This time, he plans to publish it in a domestic mathematics journal.

"Hey, is there a technological explosion? Are room temperature superconductivity and controllable nuclear fusion coming?"

Yang Chan, who was lying on the bed and reading science and technology news on his tablet, suddenly made a sound of surprise.

(End of this chapter)