From Almighty Scholar to Chief Scientist

"Then add the basic principles of chemical bond formation, and from there I can build my first steps."

"Well... Then we have to start with the three principles of bonding."

The three principles of bonding are orbital symmetry matching, orbital energy similarity, and orbital overlap maximum.

Whether it is the formation or breaking of chemical bonds, it can be explained by these three principles.

And if he wants to discuss the bonding mechanism, he must be inseparable from these three principles.

"Then... next, we can start to do it."

After thinking for a while, Lin Xiao found a direction to start with, which is to calculate the molecular orbital wave function by approximating the linear combination of atomic orbitals:

【ψj=∑Cijχi】

……

As time passed, Lin Xiao gradually became better. Although he didn't know what the final form would be, but because of his control over knowledge, he could easily direct the direction of calculation towards the goal he wanted.

So just like that, time passed quietly.

This New Year's Day holiday, although it is a holiday, is the same for him, but it is better that he does not have to go to class. Of course, the time has entered January, and when it is the exam week of the university, his classes have already finished, so You don't even have to go to class.

Until the third day of the New Year's Day holiday.

"Why did the modular form appear again?"

Lin Xiao frowned slightly as she looked at the mathematical symbols and numbers that represented modular forms on the straw paper.

Why did the modular form come up? In Lin Xiao's calculation, this is a natural work, that is to say, the modular form must appear in his calculation.

But the key question is, what will he do next?

Last time, when he demonstrated that the diffraction and interference of light are related to strings, he used the modular form. At that time, it was because of the connection with string theory. After all, the modular form was originally used in string theory.

And now it is used in topology again, but this still makes him feel a little surprised.

Of course, these are not problems. The most important thing is that if he wants to continue to go down now, he will face the same two choices as before, or try to choose another direction. Form, and then proved the original purpose from another direction, and other than that, he had to try to prove his Lin's conjecture!

Using this modular form as a springboard to communicate the relationship between the function and the layer form, then he can convert the functional form of any atomic structure into a layer form, and then use the role of the layer form in the topological field to solve the current atomic structure. Structural topology problems will play a very huge role.

"Layer" is a theory in topology, algebraic geometry, and differential geometry. As long as you want to track the algebraic data that changes with each open set in a given geometric space, you can use layers.

Its application in topology is very important.

After a moment of entanglement, Lin Xiao finally felt certain in his eyes.

"Never mind, fuck it."

Then, prove Lin's conjecture to it!

His Lin's conjecture is of great significance to the development of mathematics.

Since the appearance of Lin's conjecture three years ago, it has caused many people in the world to study Lin's conjecture.

Turning functions into layers is of great significance for promoting the development of algebraic geometry. After all, this is to directly draw an equal sign between functions and topology, and then provide a huge role for communication between algebra and geometry.

In the end, it will also bring great help to the unification of the Langlands program.

Because of this, the status of Lin's conjecture in the mathematics world has become higher and higher, although it is not said that it can be compared with those conjectures that have accumulated for tens of hundreds of years, such as the Riemann conjecture, or P=NP However, the mathematics community basically believes that it is only a matter of time before the importance of Lin's conjecture is raised to the level of these conjectures.

It is roughly equivalent to the "seniority" in mathematical conjecture.

For example, Riemann's conjecture is because there are thousands of propositions that can work based on the premise of its establishment. As long as it is proved, these propositions can be raised to theorems, and these thousands of propositions are all developed for hundreds of years. accumulated by mathematicians.

In fact, assuming that Lin's conjecture is established, many propositions have already appeared, and there will inevitably be more in the future.

So it is very important to prove the significance of Lin's conjecture.

not to mention--

The conjecture I put forward was finally proved by myself a few years later, which sounds full of storytelling.

You know, the International Congress of Mathematicians is also held this year.

Four years ago, he proposed Lin's conjecture at the International Congress of Mathematicians, and four years later, he completed its proof at the International Congress of Mathematicians.

"It sounds interesting...then let me bring another interesting story to the history of mathematics."

Lin Xiao's eyes moved, and then he stopped the pen in his hand and started surfing the Internet, looking for some current research on Lin's conjecture.

After all, before doing a project, a literature review is required.

Chapter 265 Zheng Ronger's Parents

Literature review is a big project, after all, it also needs to test one's own retrieval ability.

Retrieval ability is a relatively important ability. The Internet is huge, and the amount of information in the world is as high as tens of trillions of gigabytes. Almost any information you want to find can be searched on the Internet, but problems also arise. How to retrieve this information is a test of ability.

Of course, for Lin Xiao, he is also a programmer, so he has almost the same basic search skills, not to mention the search ability. The amount of knowledge alone is enough for him to easily find his desired information.

Although there are currently many studies on Lin's conjecture, there are still relatively few papers that can be found, which is still a little bit of precipitation after all.

So this also means that there is very little help that Lin Xiao can use, and more in the future, he still has to rely on himself.

In this way, the third day of the New Year's Day holiday came to four o'clock in the afternoon.

Suddenly, there was a knock on the door.

Because he was just reading a thesis, Lin Xiao did not enter the state of immersion. After hearing the knock on the door, he felt a little doubt in his heart, then got up and came to the door, and opened it.

"Brother Lin Xiao!"

I saw Zheng Rong'er standing outside, looking at Lin Xiao with a smile on her face. In addition, there was a man and a woman standing behind her, both in their 40s, probably husband and wife.

"Rong'er."

Seeing Zheng Rong'er, Lin Xiao smiled, and then looked at the couple. Their eyebrows and eyes were somewhat similar to Zheng Rong'er.

These are probably Zheng Ronger's parents?

Lin Xiao guessed in his heart.

"Professor Lin, hello."

At this time, the man smiled and stretched out his hand to Lin Xiao, and said, "Let me introduce myself, Zheng Cheng, this is Xu Yan, my wife, and Rong'er is our daughter. I have always heard that Professor Lin is tutoring Rong'er in mathematics." , and sometimes help to take care of her, we came back specially to express our thanks to you."

The woman next to her also smiled at Lin Xiao and nodded.

Lin Xiao then laughed: "I guessed it, haha, there is nothing to thank, I also regard Rong'er as my younger sister, tutoring and so on are trivial matters."

Then he opened the door and said, "Please come in."

"Excuse me." Zheng Cheng nodded, and then walked in.

It's just that Zheng Rong'er, who was next to her, hadn't cared so much for a long time. Lin Xiao was the first to be familiar with Lin Xiao's house, so she probably was the second, so she ran in directly, and changed into it with ease. She bought a pair of slippers that belonged to her. After all, she often came to Lin Xiao's place, so Lin Xiao simply bought her a pair of slippers.

Then she ran into the house and shouted, "Mimi! Where are you, Mimi?"

Seeing Zheng Rong'er still like this in someone else's house, Zheng Cheng and Xu Yan, as parents, naturally felt a little embarrassed, and Xu Yan said, "Rong'er, don't run around."

Hearing her mother's words, Zheng Rong'er paused, pouted, and looked at her mother.

Lin Xiao couldn't help laughing, waved his hands and said, "It's okay, Rong'er, you can go and play."

"Why is this so embarrassing?" Xu Yan couldn't help apologizing.

"Hehe, Rong'er has been here many times, it's okay, I'm familiar with it." Lin Xiao smiled and waved her hands, "It's your first time here, it's normal for you to be unfamiliar."

Hearing what Lin Xiao said, Xu Yan also laughed, as long as the master doesn't get angry, and their daughter is so familiar with Lin Xiao, of course they are also happy.

After all, Lin Xiao's reputation and status in their country are not covered up. It is also the hope of many people in the domestic academic circles to have a good relationship with Lin Xiao.

So Xu Yan didn't say any more, just told her daughter not to be too naughty, don't run around and jump around, just like what ordinary parents often tell when they bring their children to visit.

With her parents' permission, Zheng Rong'er cheered again, and then ran into Lin Xiao's bedroom to tease Mimi.

Seeing this scene, Zheng's father and mother, who were already sitting on the sofa, couldn't help shaking their heads.

"This girl, she's already in college, and she's still like a child."

Lin Xiaoduan brought two cups of tea, handed them to the parents, and said with a smile: "Children have a good attitude. When I first met Rong'er, she was only in the first year of high school. She was more like a girl than she is now." little girl."

Then he also sat on the sofa and said with a smile: "This also shows that you have protected her well."

"Well protected?" Zheng Cheng shook his head helplessly: "It should be her grandparents who protected her well. Xu Yan and I seldom come back. In the past, we usually took her over."

"Hmm... are you doing research at the Institute of Condensed Matter Physics of Zhejiang University?" Lin Xiao asked suddenly.

"Yes." Zheng Cheng nodded, and said with a smile: "Xu Yan and I both graduated with a Ph.D. in physics from Modan University. We got married after graduation and have been doing research there since then, but my registered permanent residence is in Beijing. Thinking of the good educational resources here in Shangjing, let Rong'er follow her grandfather all the time."

"From classmates to marriage, it's pretty good." Lin Xiao smiled, and then asked, "Aren't you planning to go back to Beijing?"

"I've been thinking about it." Zheng Cheng shook his head and said, "Both of us are studying condensed matter. If we study other things, we probably won't be familiar with them. I'm probably not as good as those current doctoral graduates, so we probably have to study them in this life." Research this thing."

"We are planning to transfer to the State Key Laboratory of Superconductivity. We have been looking for opportunities. The competition is quite fierce. We only recruit one or two people every year, and the papers must be at least one district."

"Then keep going." Lin Xiao smiled.

At this time, Zheng Rong'er came out holding Mimi, and sat on the sofa next to Lin Xiao, watching her parents talking to Lin Xiao, always felt a little weird.

Parents seem to respect brother Lin Xiao very much.

Although she knew that Lin Xiao was very powerful, in her eyes, the authority of her parents was irreplaceable.

At this time, seeing her parents have such an attitude towards Lin Xiaoge, some of her past understandings have also changed.

The three people who were talking didn't care about Zheng Rong'er.

Zheng Cheng said with emotion: "Professor Lin, you are amazing, and now you have become the chief designer of a national key project."

Lin Xiao smiled and said, "It's all the same, there is pressure."

"Well, I heard that you are going to make crystal lenses to diffract X-rays? Isn't this a bit difficult?"

"Well, we are working on this thing now." Lin Xiao sighed: "Now I have encountered a problem, do you know Lin's conjecture?"

Before Zheng Cheng and Xu Yan could speak, Zheng Rong'er next to her raised her hand and said, "I know, I know!"

"Brother Lin Xiao, is the conjecture you put forward at the beginning correct? What does it seem to be called?"

Zheng Rong'er wrinkled her small face, and after thinking for a while, she said, "Does that mean that all functions can be converted into layers?"

Lin Xiao smiled and said, "Yes."

And Xu Yan was surprised: "Professor Lin, are you going to prove Lin's conjecture?"

"Well." Lin Xiao said with a smile: "As long as I complete this proof, it will be helpful to my current research. In addition, I was invited to give a report at the International Congress of Mathematicians in Russia this year. If I complete the proof, I can also get it." Go to the International Congress of Mathematicians and do it."

Hearing what Lin Xiao said, Zheng Cheng was even more surprised: "The International Congress of Mathematicians invited you to give a report?"

"Yes." Lin Xiao smiled and said, "Report in one hour."

Zheng Cheng couldn't help stretching out his thumb, feeling even more emotional: "Amazing."

"Is Mr. Zheng also interested in the International Congress of Mathematicians?"

Zheng Cheng smiled and said: "I am interested, but I am only interested in paying attention to something. You can't let me go and participate."

"However, I recently read a magazine written by a professor of mathematics at the Massachusetts Institute of Technology. He seemed to point out that there is a little connection between your Lin's conjecture and Hodge's conjecture. If you want If you prove your conjecture, you may also learn something from past research on Hodge's conjecture."

"Hodge conjecture?"

Lin Xiao was taken aback.

Hodge conjectures, but one of the seven millennium puzzles.

As for its content, it is actually very simple: on non-singular complex projective algebraic varieties, any Hodge class is a rational linear combination of algebraic closed-chain classes.

In more detail, let X be a non-singular complex projective manifold, then each Hodge class on X is a linear combination with rational coefficients of the cohomology class of complex subvariables of X.

It's big and expanded, it's simple, it's like this, and then it's like this.

Of course, in terms of form, Lin's conjecture and Hodge's conjecture are very similar, they both draw an equal sign between the two concepts. At the same time, they both belong to the problem of algebraic geometry, but the gap between them is a bit big , Lin Xiao never thought that there would be a connection between the two.

However, now someone actually found the relationship between these two problems?

Lin Xiao immediately said, "What is that magazine?"

"I'll send it back to you."

"Okay, thank you."

"You're welcome." Zheng Cheng smiled.

However, at this moment, Xu Yan who was next to him suddenly said, "Professor Lin, if you have completed the proof of Lin's conjecture, can you let us know in advance?"