Scholar’s Advanced Technological System

As a determined and conscientious materialist warrior, Lu Zhou certainly did not believe in ghosts and gods.

His eyes adapted to the light thinking of the corridor for a while, and he asked with an uncertain tone with the only impression.

"Molina?"

Hearing Lu Zhou's own name, the French lady's mouth evoked a smile: "I knew you would be here ... why don't you call me? I can drive to Philadelphia to pick you up."

This is the problem again ...

"I have asked my brother ... Where is 211?" Lu Zhou coughed, and quickly switched the subject.

"Go upstairs and turn left at the end of the corridor," said Forefinger slightly, and Molina didn't bother about the phone, she said in a chatter, "Yes, by the way, did you choose a mentor?"

Lu Zhou: "What's wrong?"

"I mean, if you don't choose well, I recommend to you my mentor Sophie Morel," said Lu Lin seriously. "My previous invitation is still valid. Our project requires you. . "

Sophie Morell sophiemorel?

Lu Zhou looked at her with surprise.

Molina raised her eyebrows and asked with a smile, "Are you surprised?"

"Really surprised ..." Lu Zhou nodded.

One of the hot candidates for the Fields Prize, a French female mathematician with both beauty and knowledge.

But what surprised him was not Sophie's name, but Princeton's ability to dig.

Sure enough, it was the Yankee who relied on the alumni association to "do whatever they wanted." The name of the Paris Mathematical Center did not seem to be stolen, it was simply bought ...

Thinking of this, Lu Zhou suddenly understood the reason why Princeton and the small transparent Jinling University in mathematics reached an "inequality agreement", his expression could not help being a bit subtle.

After working for a long time, I was betting on the Fields Prize ...

Holding arms, Morina's mouth evoked a smile: "What about your choice?"

"Thank you for your invitation, but let me decline."

Passing by with stunned Molina, Lu Zhou dragged his suitcase to the room at the end of the corridor.

joke.

As a popular candidate with a probability of 99, finding a competitor with a probability of 80 as a mentor is faulty!

...

Lu Zhou originally planned to listen to a few lessons, inquire more and choose his own mentor. As a result, he greatly underestimated how "tempting" a 21-year-old Cole Award winner and a Filipino candidate was for Princeton professors.

I do n’t know where to send the invitation to the coffee party and the invitation to academic exchanges. It ’s not much anymore. When eating clubs in the diet club, a young female assistant took the initiative to chat with him, and then chatted in less than ten words When it came to the question of the mentor, he kept suggesting that his own mentor was a good choice.

Brother Luo was even more overwhelming. He apparently recommended so many people to him at first, but at the dinner the next day, he changed his previous tone and began to blast Professor Edward Witten. Later, it might be too powerful, and a Mexican brother who was sitting next to him who condensed physics uttered a sentence "Just that sissy?" The two almost turned around because of this.

Routines are all routines.

Despite the headache, Lu Zhou knew that he had to make a choice as soon as possible.

When I went to Nassau, I asked for a roster of doctoral supervisors. Lu Zhou studied the roster carefully for an hour, and finally chose Professor Deligne as the target of the first interview.

As for why, the reason is simple.

Algebraic geometry is an important tool for studying analytic number theory, but this piece is the short board of Lu Zhou. He had always wanted to study the original manuscript of Grothendieck, but when he obtained the electronic file from the academician, he found that he could not understand French at all.

Professor Deligne is a student of Grothendieck and one of the leaders of the Grothendieck school. Moreover, in the history of mathematics, there are only two people in the history of mathematics including the Fields Award, Wolf Award, and Crawford Award. One of them is Qiu Chengtong and the other is Deligne.

With Professor Deligne's knowledge, he will definitely learn a lot.

After making an appointment for an interview, Lu Zhouben thought that this rigorous and rigorous old professor would test him, even if it was formal. It turned out that Deligne just glanced at his materials and announced that he had passed the interview.

Standing up from the chair behind the desk, Deligne said as he removed his gray trench coat and hat from the hanger.

"You are welcome to join the Princeton family. I will go through the relevant procedures for you now."

"My research group is based on research standard conjecture. Of course, I have no hard requirements for you and will not restrict your development. According to my observations, you are a scholar who is good at independent research. But if you are willing to join my research, I'm very welcome. If you are not interested, you can complete the tasks I gave you and prepare your graduation thesis like other doctoral students. "

Speaking of this, Deligne paused for a moment, watching Lu Zhou continue.

"Of course, my expectations and requirements for you are higher than others. Your graduation thesis must meet at least the standards of the annual mathematics. If all goes well, maybe you can get your doctorate next year. But if you are Too lax, wasting his talent, and maybe never get it. "

Lu Zhou: "I see ... I want to consider your suggestion again."

Deligne nodded. "Well ... it's okay, I understand, but it's better to be faster. Try to answer me within three days. I don't want to wait too long for one thing."

Lu Zhou: "Sure!"

...

The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture, although the description seems simple, even using the sentence "all non-trivial zeros of the riemannζ function are located on the complex plane res12 "On the line" can be summarized.

But in fact, it is a huge project, similar to a building.

Just like Poincaré's conjecture, it would not have been possible without Smell's introduction of high-dimensional concepts in the 1960s, and without the theory of "Using Nonlinear Differential Equations to Study Geometric Structures" developed by Qiu Chengtong in proving the Karabi conjecture. There will be Hamilton's breakthrough in "flow" and the essay on the theory of singularity in 1993, let alone Perelman's final proof.

This is an objective rule proved by a mathematical proposition at the level of a millennial problem. Even a genius and a lonely person like Perelman, it is impossible to skip all the previous work and directly conclude that the Poincaré conjecture is true.

Not to mention eight years, it is not enough to invite Gauss back for eighty years.

The Riemann conjecture is the same, and the building is larger than the Poincaré conjecture.

It is like an isolated mountain. All mathematicians are standing on the mountainside, not even sure how high the mountain is.

The only thing that is confirmed is that there are as many problems as the mountains in front of us, and no one has solved them yet. Who can solve all the problems leading to the ultimate proposition of Riemann's conjecture, ten Fields awards are afraid to speak, and five are definitely enough ... provided that one person can lead so many times.

If anyone thinks that skipping all the unsolved problems and relying on a mathematical method to prove Riemann's conjecture, then most of the Nigerian professor at the end of 15 years is a layman who can't even figure out what Riemann's conjecture is. ~ www.readwn.com ~ Because this is the same as crossing the people in the novel who did not even get a lithography machine. When I returned to Daqing with a file, I wanted to make a chip, completely out of reality. Similar papers are collected by the Clay Institute several times a year, but they are no different from waste paper.

Of course, modern mathematicians are not without ideas. Whether it is the "40 zero point" of Conry's critical line theorem, or the recent "introduction of Riemann's conjecture to a quantum mechanical system in a special case for interpretation" proposed by three mathematicians such as Carl Bender and Carlbender, it is a thought. .

There is also a starting point for algebraic geometry.

For example, one of the most brilliant achievements in the field of pure numbers in the 1970s, which has been proved by Deligne, is the Riemann conjecture on the functional field, which is often nicknamed the "cottage version" of the Riemann conjecture.

As for the "standard conjecture" as described by Professor Deligne and Lu Zhou, it is the general form of the Weil conjecture. At that time, it was proposed by Mr. Grothendieck, the "pope" of modern algebraic geometry.

If Professor Deligne hopes to fulfill his teacher's wishes and proves the Riemann conjecture, then as an expert in algebraic geometry, the standard conjecture is always something he must face.

After returning to the dormitory, Lu Zhou lay on the soft bed, seriously considering the invitation of Professor Deligne.

Now he faces two options.

One is to join Professor Deligne's research group. Although it is possible to obtain higher mathematical experience with the goal of standard conjectures, this will undoubtedly delay the progress of the system task, especially he does not know which step Professor Deligne has taken now. How much work remains to be done.

The other is to do it alone, concentrate all my energy on the Goldbach conjecture, and use it as his graduation thesis to complete his PhD in Princeton ...