From Almighty Scholar to Chief Scientist

Chapter 134 He is answering your question

On January 1, in the rotunda of the Poincaré Institute.

Lectures on Lin's group transformation method and Lin's conjecture are in progress.

"...I have to marvel at Lin's ingenious construction at this step. He successfully transformed this function into a modular form. This is a very wonderful method. I can write four or five papers on this method, and In fact, I checked on arxiv before, and I was able to find [-] or [-] papers."

"And it was also during this step that Lin introduced his Lin's conjecture at last year's International Conference of Mathematicians. I believe everyone knows this, so I will deduce it again here."

As he spoke, Laurent Laforgue began to write on it.

"...It's easy, we got the final formula, now as long as we can prove the form of K=1, we can guarantee to convert any function into the form of layers, about its importance, I think There is no need to go into details, everyone should know.”

"Actually, the person who proposed Lin's conjecture is also present today. If I have time later, I would like to know if he has any ideas."

Following Laurent Laforgue's words, all the people present couldn't help turning their eyes to the side, where Lin Xiao was sitting.

Lin Xiao, who was suddenly cue, smiled and nodded around.

However, he also felt that there were still a few eyes of hatred. He looked carefully, and it seemed that they were those women who were rejected by him last night?
He quickly looked back.

Men don't fight women.

And Laurent Laforgue on the stage did not stop and continued talking.

"In Lin's thinking, I think the most important thing is to think about the 'bridge'. The bridge in mathematics can connect two seemingly unrelated things. In fact, it is the same. Our past mathematics In research, we need to build bridges, whether it is the modern algebraic geometry laid down by Grothendieck or the Langlands Program proposed by Mr. Langlands, they are all completed by continuously building bridges."

"As for how to build a bridge, in addition to strong enough skills like Lin's, the test is everyone's ability to observe various subtleties. The more carefully you observe, the more details you can find that ordinary people are difficult to find..."

Among the people present, apart from the well-known mathematicians, the students were the most numerous. Hearing what Professor Laforgue said, the students thought thoughtfully, and the mathematicians nodded slightly, expressing their agreement.

Lin Xiao's talent and skills are innate, which is difficult for most people to possess, so most people can only focus on the subtleties.

However, is the subtlety so easy to spot?
"Building bridges, and details..."

Lin Xiao also fell into thinking, and he began to review all the knowledge he had mastered.

Of course he knew that to build a bridge, if he wanted to communicate the circle method and the sieve method, he had to build a bridge between them.

They are like the Suez Canal between Asia and Africa. Although compared with the incomparably wide area of ​​the two continents, the Suez Canal is only more than 300 meters wide, which is extremely small, and even a 400-meter-long freighter can pass it. However, it is also such a small distance that the two continents can only face each other across the river.

And once the bridge is erected, the continents of Asia, Europe and Africa can be truly connected together and become the largest continent on earth.

The same goes for the circle method, and the sieve method.

However, if you want to build a bridge, you need to pay attention to details and find the best place to build a bridge, otherwise, the bridge will not be built.

"Are there any details that I haven't noticed...?"

In other words, what angles did he not try?

And suddenly, Lin Xiao's eyes lit up: "Complex plane!"

"That's right! It's the complex plane!"

The complex plane generally refers to the complex number plane.

What are plurals?

That is, something with the imaginary unit defined by mathematicians as 'i', that is, the square root of -1, and the general form is z=a+bi.

Such a purely artificially defined thing has played an unimaginable role in subsequent mathematical research, including the Riemann zeta function in the Riemann Hypothesis, which is determined by determining the number of prime numbers on the complex plane. a function.

This is also a wonderful coincidence in mathematics.

As for Lin Xiao, he also suddenly realized that he seemed to be able to find a coincidence that he could realize the bridge he wanted to build in the complex plane field.

He immediately lowered his head, took out a notepad and pen from his pocket, and lowered his head to calculate.

No one around paid attention to his movements, because in this lecture, there were many people holding notepads and taking notes. Maybe the speaker said something interesting, and they would write it down.

It's just that what Lin Xiao wrote at this time is already different from what Professor Laforgue said.

"Constructing a unit circle on the complex plane, assuming that the prime numbers are the points on these complex planes...here...can be handled by the prime number counting function."

"..."

Gradually, Lin Xiao entered his own state, forgetting about the people or things around him.

And time obviously did not wait for Lin Xiao, but gradually disappeared with every movement made by everyone.

Each lecture in the Bourbaki seminar lasted for one and a half hours, and when Lin Xiao realized a little point he had overlooked, more than half an hour had passed since the lecture.

So, this lecture came to the last 10 minutes.

Professor Laurent Laforgue finished what he wanted to say, and it was time to answer questions.

With one hand raised, many people asked what they wanted to know, and Laurent Laforgue answered them one by one.

And so it was until, with five minutes left at the end, Laurent Laforgue said with a smile: "Anyone else have any questions?"

After waiting for a while, a person who looked like a student raised his hand.

"Please say."

The student said with a smile: "I want to know what kind of research experience Mr. Lin went through before he completed the theory of Lin's group transformation method."

Obviously, this question is no longer an academic question. Of course, this student probably asked this question because no one else asked other questions.

Professor Laurent Laforgue also smiled, and said: "Of course I can't answer this, and this should probably be answered by our Mr. Lin. Just now, I just said that I wanted to communicate with Mr. Lin."

Then he looked in Lin Xiao's direction again, and said with a smile, "I wonder if Mr. Lin is interested in giving a personal statement?"

All the people present smiled and turned to look at Lin Xiao.

But after a while, Lin Xiao didn't get up to answer what made others puzzled.

But those who were closer to Lin Xiao could all see what Lin Xiao was doing.

He was writing various formulas in a notepad, and seemed to have completely forgotten his surroundings.

"What did he write?"

Some people couldn't help asking in a low voice.

"Who knows? Maybe it's another new theory comparable to Lin's group transformation method?" Others shook their heads, expressing that they didn't know.

"It looks so complicated."

"But why can he be so serious? Has he completely forgotten about his surroundings?"

"I don't know, I can only be in this state when I play Call of Duty."

"It's incredible..."

When Professor Laurent Laforgue on the stage saw this situation, he had no choice but to spread his hands to the questioner, and said: "It seems that our Mr. Lin is struggling on the road of mathematics, and he has no way to answer for the time being." your problem."

He looked at Lin Xiao who was thinking seriously with his head down, and added: "Or, Lin, is he answering your question? He is demonstrating how he studies mathematics."

When everyone heard Laurent Laforgue say this, they immediately understood what he meant.

The questioner wanted to ask what kind of research Lin Xiao went through to successfully come up with the Lin's group transformation method.

And now Lin Xiao's "selfless" research, isn't it just the right answer to his question?
People couldn't help but feel admiration and emotion towards Lin Xiao. It is probably the only ability to be able to fall into this kind of immersive thinking under the influence of other voices nearby, and then add that unparalleled Only talent can achieve Lin Xiao's current achievements, right?

Even the few French female students who were rejected by Lin Xiao last night could not help but admire Lin Xiao at this moment.

They looked at Lin Xiao thinking about problems in the eyes of everyone. At that time, his brows were slightly furrowed and stretched from time to time, which reminded people of a sentence, men of science and engineering are the most attractive when they think about problems.

(End of this chapter)