From Almighty Scholar to Chief Scientist

……

The welcome party was over, and the next day, the seminar officially started.

The seminar class has four lectures a day, and the topics are generally relatively broad. For example, on the first day, there are several theories such as the stable reduction theorem and cohomology over finite fields.

For these theories, Lin Xiao simply listened to them. On the second day, there was a lecture that aroused Lin Xiao's interest. In this lecture, he shared his Lin's group transformation method and Lin's conjecture. The keynote speaker is Laurent Laforgue, winner of the 2002 Fields Medal.

A Philippine Award winner came to share his theory, of course Lin Xiao could not be absent.

Chapter 133 He's Answering Your Questions

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 number 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.

Chapter 134 We Are Witnessing History

Although everyone was focusing on Lin Xiao, Xu Ji, Xiao Zhou, and Xiao Shi who were sitting next to Lin Xiao could also feel the feeling of being the center of attention.

Xu Ji was fine, he was used to being looked at by others, not to mention that these people didn't look at him.

He was just surprised at Lin Xiao's performance at this time, that he was able to do such a concentrated research without any influence. As for what Lin Xiao was doing, he looked at it, but couldn't see anything, because the notepad was too small, There was too little content on one page, he didn't read the front, of course he didn't know what Lin Xiao was writing.

As for Xiao Zhou and Xiao Shi next to them, they couldn't help but feel a sense of tension in the face of all kinds of gazes from around them.

Although others only looked at Lin Xiao who was sitting on the side, as the person next to him, sometimes he would feel psychological pressure.

Especially there are so many bigwigs gathered here, there are six or seven Fields Medal winners alone.

So in order to relieve their pressure, the two of them could only pretend that they were watching Lin Xiao's process, but there was another problem here, they couldn't understand what Lin Xiao wrote at all, which made them want to cry even more No more tears.

Seeing that Lin Xiao didn't feel the same pressure as they did, on the contrary, he still seemed to be unaffected by anything, and they could only say "great" in their hearts.

In this way, the originally good Bourbaki seminar showed a strange scene at this time: hundreds of people in the audience were all focused on the young man sitting on the left side of the sixth row. People were talking in low voices, and some were amazed, but the young man was the only one who looked contemplative, as if he was in his own world, unable to feel anything around him.

A photographer at the scene thought this scene was very interesting, so he stood at the right back of the hall and took this photo. This photo made him feel as if he had taken the effect of "The Last Supper". Of course, the implication Something different, a tribute to a mathematical genius.

"Perfect photo."

The photographer nodded in satisfaction, and prepared to collect the photo when he went back.

But at this moment, Professor Laurent Laforgue on the stage looked at the situation and didn't feel that there was any disrespect for him. On the contrary, he also showed a smile on his face.

Lin Xiao was listening to the lecture before, but he didn't know when he fell into thinking. Doesn't this mean that Lin Xiao was inspired after listening to a certain sentence of his.

As a lecturer, if he can have a mathematical achievement born after listening to his speech, then he will also feel honored.

Then, he said: "Since everyone is interested in Lin's research, this lecture will stop here. Let us wish Lin a breakthrough together."

When the others heard Laurent Laforgue's words, they realized that the lectures of the Philippine Award boss were not over yet.

Then, everyone wanted to applaud and thank Laurent Laforgue for his lecture, but Laurent Laforgue stopped them with his hand, and then put his index finger in front of his mouth, "Shh, don't bother me." Lin, maybe we are witnessing history?"

Everyone had smiles on their faces, and then, many people moved forward, wanting to know what Lin Xiao was researching.

Originally, it was time to leave the field, but no one left. The mathematicians all wanted to know what was worthy of Lin Xiao's serious study, and the same was true for the students. Enough to keep them around.

Among the students here, some came from abroad with their tutors, and more of them were students from the mathematics department of nearby universities, such as the Ecole Normale Supérieure de Paris, or the Paris VII University and other famous French schools.

Among these students, except for a small number of students who were able to enter the university because of their talent and intelligence, the rest of the students were basically above, and most of them were graduate students.

Therefore, when facing Lin Xiao, a young man from Hua who is clearly the same age as them, or even a few years younger, but has become famous in the mathematics world, they all want to get close to him and understand his thoughts, such as The student stood up and asked the question just now.

And at this moment, Lin Xiao did such a different thing again, which made them feel even more admired.

Everyone was discussing, and of course they all controlled their voices to avoid disturbing Lin Xiao.

As for those seats close to Lin Xiao that became VIP seats, such as the seats of Xiao Zhou and Xiao Shi, they probably felt that they were too intrusive here, so they voluntarily left here to make room for others.

Others, watching Lin Xiao's steps, wanted to see what he was researching.

"Say, what is he doing?"

Professor Laforge came down from the stage and came to Professor Wiles. In the other seats, there were several Fields Medal winners, or Abel Prize winners, Wolf Prize winners, and Carat Prize winners. Ford Award and some other big names in mathematics.

Professor Wiles smiled and said, "I guess it's Goldbach's conjecture."

"I guess the Goldbach conjecture, too."

Several bigwigs in the mathematics world said.

Seeing them all speaking in unison, Laforgue couldn't help but ask, "How do you know?"

"That guy Wiles just said that," said a Crawford Mathematics Medal winner.

Wiles spread his hands: "At the party yesterday, Lin told me."

"Goldbach Conjecture?"

Laurent Laforgue suddenly showed surprise on his face, "Is he going to challenge something of this difficulty now?"

"So we all say he is a genius." Wiles smiled.

Laurent Laforgue couldn't help but looked at Lin Xiao again. He thought it was some other research, even if Lin Xiao had any thoughts on Lin's conjecture, he was not surprised, but now he actually said that Lin Xiao was researching Goldbach Conjecture?