Great Country Academician

Two billion, to buy a relatively short-term laboratory preparation method license, even if the purchase object is room temperature superconducting materials, this price is indeed a bit exaggerated.

However, both Xu Chuan and Fan Pengyue knew that the two billion yuan was not only a subsidy to the Sichuan-Hai Materials Research Institute, but also an investment in subsequent optimization and industrialization of room temperature superconducting materials.

Room-temperature superconducting materials are too important for a country to develop cutting-edge technology and national defense weapons.

It's so important that two billion is not even a drop in the bucket.

As long as the industrialization problem of room temperature superconducting materials can be solved, China's scientific and technological development can rise to at least another level.

This kind of income, let alone 2 billion, is worth 20 billion or 200 billion.

Therefore, Xu Chuan and Fan Pengyue did not mention returning part of the money. Since they gave it, they can just accept it.

What they have to do is to try their best to speed up and invest money to solve the optimization and industrial production problems of temperature superconducting materials.

After arranging the work at the Sichuan-Hai Materials Research Institute, Xu Chuan returned to Nanda.

Room temperature superconducting materials are still firmly occupying the hot spots of discussion on major platforms these days, but this matter no longer has much to do with him.

Yuan Zhouli from the science and technology side took over the relevant work, and sent some of the world's top materials research institutes to China to conduct superconducting testing experiments.

Although he was a little puzzled by the short-term confidentiality and the practice of preventing room temperature superconducting materials from flowing out in a short period of time, Xu Chuan did not think much and asked the Chuanhai Institute of Materials to cooperate with the above work.

Probably there are some other ideas of his own on it. To him, these are just trivial matters.

In the office, while Xu Chuan was thinking about arrangements in the aerospace field, a clear and sweet voice sounded in his ears.

"Professor, are you free now?"

Xu Chuan turned around and saw that his youngest student Liu Jiaying was standing at the door looking at him.

Smiling, he asked: "What's wrong?"

Walking over quickly, Liu Jiaying handed over the notebook in his hand and asked, "I have a question that I don't understand. Can you explain it to me?"

"Let me see."

Xu Chuan smiled and nodded, taking the notebook.

"In terms of submanifolds and codimensions."

His eyes fell on the delicate handwriting, Xu Chuan glanced at the questions written down with a ballpoint pen, and said with a smile.

"This question involves multiple theories such as differential geometry, differential topology and algebraic topology, differential equations, and nonlinear analysis. Where did you find it?"

Liu Jiaying thought for a moment and replied: "I encountered it when I was studying Lagrangian manifolds and inferring smooth functions."

Hearing this, Xu Chuan glanced at her in surprise and asked curiously: "Does that mean you didn't find this question from other places, but derived it yourself during the learning process?"

Liu Jiaying nodded and said, "It seems that I have never seen this question in relevant textbooks."

After a pause, her eyes fell on the notebook held in Xu Chuan's hand, and then said: "When learning compact (boundless) symplectic manifolds, the number of critical points of any smooth function on M should not be less than M. The domain number of , and the latter is not less than the cup product length of the cohomology group of M.”

"These quantities are all topological invariants of M, but the number of fixed points of non-degenerate Hamilton diffeomorphisms does not seem to be above them."

Xu Chuan smiled and said: "Non-degenerate Hamiltonian diffeomorphisms are certainly not above the critical point, because this is not the content of undergraduate students."

Standing up, he walked to the corner and dragged out the mobile blackboard, picked up the marker from the pen basket, and wrote on the blackboard:

"A 2n-dimensional manifold M is called a symplectic manifold if it has a 2-form ω that is non-degenerately closed everywhere. Its n-dimensional submanifold L is called a Lagrangian manifold."

"If ω|L = 0, you can set: H : R/Z× M→ R is a smooth function, which defines a vector field XH that satisfies ω(·, XH)= dH."

".Diffeomorphisms have two cases: degenerate and non-degenerate. The number of fixed points of Hamilton's diffeomorphism depends on."

The basics and ideas about this issue in his mind were written on the blackboard like a trickle. When the last stroke was written, Xu Chuan turned around with a smile, looked at Liu Jiaying who was staring at the blackboard and asked with a smile.

"How much do you understand?"

"About half?"

Liu Jiaying thought for a while and then quickly changed his mind and said weakly: "One third?"

"Maybe one in five"

Xu Chuan smiled and said: "It's okay, this problem is beyond your current stage of study. This is something that only doctoral students will deal with. You are an undergraduate now, so you are already very good."

After a pause, he continued: "To solve this problem, you need to first know how to use the domain number of M and the cup product length of the cohomology class of M, which is the lower bound on the number of fixed points."

As he spoke, he erased some of the formulas and wrote on the blackboard again: "Birkhoff-Lewis fixed point theorem and a conjecture of Arnold", "Non-regularized gradient flow of symplectic action", D. Huss You can check out these papers and textbooks such as "Symmetric Bilinear Forms" written by Mohler and "Application of Gauge Theory in Four-Dimensional Topological Structures" written by Professor Donaldson. "

Hearing this, Liu Jiaying quickly took out his mobile phone from his pocket and took a picture of the blackboard: "I understand, professor."

Xu Chuan smiled and said, "Go ahead. After reading these textbooks and papers, you should be able to solve this problem."

"Thank you, Professor."

"Wait a minute." Looking at the formula on the blackboard, Xu Chuan suddenly remembered something and called out to Liu Jiaying who was about to leave.

"What's wrong, Professor?"

Xu Chuan said with a smile: "Being able to study the issues of diffeomorphisms and topological invariants means that your knowledge has gone beyond the scope of undergraduate studies, and you can consider graduating from undergraduate programs."

"But I'm only a junior, is this appropriate?" Liu Jiaying asked after thinking about it.

Xu Chuan smiled and said: "It doesn't matter. No one stipulates that you have to wait until your senior year to graduate. With your current knowledge, the knowledge at the undergraduate level no longer has much value to you."

After thinking for a while, he continued: "Let's use the question you asked today as a graduation thesis."

"As for whether you want to study for a master's degree or a direct doctorate after graduating from an undergraduate degree, it all depends on your own thoughts. Think about it after you go back."

It is not uncommon to graduate early as an undergraduate, and it is even less common to get a direct PhD.

He himself is a direct Ph.D. After solving the weak Werberg conjecture, he went directly to Princeton University.

Issues regarding diffeomorphisms and topological invariants are somewhat difficult even for a doctoral student. As an undergraduate thesis, it is already very good.

As for him, who uses proofs of world-class problems as his undergraduate thesis, they cannot be compared.

According to Xu Chuan's estimation, it would take the primary school student about four or five months to read the papers and books he divided and solve this problem.

"Professor, can I still apply for your graduate degree after graduation?" Liu Jiaying thought for a moment, looked at Xu Chuan and asked, with hope in his eyes.

Putting aside other factors, from a purely academic point of view, she didn't want to leave.

Although this tutor doesn't have time to guide these students most of the time, what you can learn from him is unmatched by other tutors.

Xu Chuan smiled and nodded, saying: "Of course."

"Thank you, Professor."

Hearing the affirmative answer, Liu Jiaying's face suddenly showed a joyful smile: "I'm leaving first, bye, professor."

"Um."

Looking at Liu Jiaying's back as he walked out, Xu Chuan smiled happily.

Unknowingly, this primary school student has been following him for more than a year, reaching the moment of graduation.

Although I only graduated with a bachelor's degree, my foundation is really good, my talent is also very good, and I am hardworking and have a promising future.

After smiling, Xu Chuan turned his attention to the aerospace engineering on his desk.

According to the solar calendar, a full week has passed in 2024, and it is now 2025.

As time goes by, and as their aerospace technology matures, the time has come to land on Mars.

With the documents in hand, Xu Chuan sent a message to Zheng Hai and came to Xinghai Research Institute.

In a quiet office in the southwest corner of the Aerospace Research Institute, Academician Chang Huaxiang, who serves as the technical director of aerospace engineering, is arranging and handling the aerospace work at hand.

At this moment, the office door was knocked twice, and a young figure opened the door and walked in.

"Hey, rare guest, what kind of wind is blowing to you?"

Academician Chang Huaxiang looked up when he heard the noise. He was stunned for a moment and then put a smile on his face.

After asking with a smile, he put down his pen and stood up and walked towards the cabinet, took out a box of tea leaves and prepared to make tea.

For the Institute of Aeronautics and Astronautics, Xu Chuan is really a "rare guest". Apart from his frequent appearances during the Xinghai manned spaceflight and moon landing stages, he is rarely seen in the future.

Xu Chuan looked at the old academician and said with a smile: "Mr. Chang, please pay attention to your health and get more rest. You have a lot more gray hair."

He hadn't seen Academician Chang for a while. When he met again, his hair was obviously much grayer.

Chang Huaxiang said with a smile: "Our aerospace industry has just started. There is still a lot to be busy with. There is no time to rest."

Xu Chuan smiled and said: "Then you should also pay attention to your health and balance work with rest."

Academician Chang Huaxiang smiled and nodded. He responded and was about to say something when his eyes fell on Xu Chuan. After looking at him for a while, he spoke curiously.

"Come to think of it, you don't seem to have changed much in the past few years."

There is really nothing wrong with what he said. More than three years have passed since the two first met in 2021, but Xu Chuan standing in front of him seems not to be much like the one he remembered three years ago. The change.

Although this man is only twenty-seven years old this year and not yet thirty, he has not changed at all in three years, and it still feels a bit strange.

"Really?" Xu Chuan smiled and responded casually.

He didn't pay much attention to this. He was in his twenties and had always exercised, so there wouldn't be much change.

Even if you gain weight, it usually happens after the age of thirty. He is still early.

In the office, after the two chatted for a while, Xu Chuan brought the topic to business.

"Speaking of which, Academician Chang, how much space transportation capacity do we have now?"

Hearing this question, Chang Huaxiang said without hesitation: "There are five space shuttles in total, three first-generation aircraft and two second-generation aircraft. Each first-generation aircraft can carry twelve to fifteen astronauts for low-Earth orbit transportation, and each second-generation aircraft can carry thirty-five astronauts."

"In terms of conventional chemical fuel launch vehicles, although we have not developed them, there are many related cooperative institutions. Aerospace Science and Technology has reserved at least five launch vehicles of the Long March 5 series for us."

"In addition, in terms of private enterprises, there are also three companies that can provide stable and mature low-Earth orbit transfer rockets."

As the technical director of the Aerospace Research Institute, Chang Huaxiang knows very well how many aerospace resources the Aerospace Research Institute and Xiashu Aerospace Base have.

It is no exaggeration to say that more than half of China's aerospace forces today are in the hands of Xinghai Research Institute or are related to it.

Not only does it cooperate with state-owned enterprises such as Aerospace Science and Technology and Aerospace Science and Industry, but there are also many private aerospace enterprises.

It can be said that the development of private aerospace enterprises in China today is basically inseparable from Xinghai Research Institute.

Because only Xinghai Research Institute has enough aerospace resources and aerospace needs to supply private enterprises.

For example, the establishment of a lunar outpost scientific research base requires a large amount of materials to be transported from the earth.

Although the space shuttle can carry a large amount of materials to the moon in space, its near-Earth orbit transfer load is limited.

The current method is to transfer the required materials from the ground to the near-Earth orbit through a technologically mature launch vehicle, and then dock with the space shuttle.

This step alone has supported at least five private aerospace companies.

Not to mention the lunar biosphere project, lunar orbit mass projector project and other super projects.

Once these projects are launched, they will revitalize private aerospace and greatly stimulate the development of domestic aerospace technology.

This is what the country hopes for, and it is also what Xu Chuan is doing on his own initiative.

In fact, Xinghai Research Institute is not incapable of taking on all aerospace needs, but Xu Chuan cannot do so.

After all, it is difficult to develop the aerospace strength of the entire country by relying solely on Xinghai Research Institute.

On the other hand, although the performance of aerospace engines is stronger than traditional chemical fuel engines, it does not mean that chemical fuel propulsion can now withdraw from the stage.

For example, the most important military field.

Whether it is long-range strikes or missile defense, or other scientific research experiments, traditional chemical fuel rockets still have a position that cannot be replaced by aerospace engines.

Even in space, in future space wars, chemical fuel rockets will not leave the stage.

On the contrary, even because of the extremely powerful propulsion ability of traditional chemical fuel rockets in a short period of time, it can be better than aerospace engines.

These are all advantages.

So even if the space shuttle has a great advantage in aerospace, China has not withdrawn from the development of traditional launch vehicles.

Even because of a large amount of aerospace demand and capital investment, the development speed is faster.

After listening to Chang Huaxiang's report, Xu Chuan nodded, thought for a while, and said: "I plan to officially start the manned landing on Mars after the New Year."

"At the Institute of Aerospace, how much transportation capacity can be withdrawn without affecting the moon?"

PS: On the first day of the month, there are a lot of things at work, and the promised extra update will be later. I am still typing. There will definitely be more in the evening, but it will be late. Everyone should get up in the morning to see it. Sorry.

Also: It’s the beginning of the month, and I’m begging for the monthly tickets from the big guys, (ov)ノ.