Lu Zhou was a firm and conscientious warrior. He obviously didn't believe in ghosts or gods.
After his eyes adapted to the light in the corridor, he asked in an uncertain tone, relying on the only impression he had.
"Molina?"
When the French lady heard Lu Zhou say her name, she smirked and said, "I knew you would come here … Why didn't you call me? I could have picked you up in Philadelphia. "
Again with this question …
"I already asked my friend … Where's number 211?" Lu Zhou coughed and quickly changed the topic.
"Go upstairs and turn left at the end of the corridor." Molina raised her finger and said, "Oh yeah, speaking of which, have you chosen a supervisor yet?"
Lu Zhou: "Why?"
"I mean, if you haven't chosen yet, I recommend you my supervisor, Sophie Morel." Molina looked at Lu Zhou seriously and said, "My previous invitation still stands. We need you for our research project."
Sophie Morel?
Lu Zhou looked at her in surprise.
Molina raised her eyebrows and smiled as she asked, "Are you surprised?"
"I am …" said Lu Zhou as he nodded.
One of the popular candidates for the Fields Prize, a beautiful and knowledgeable French female mathematician.
However, what surprised him wasn't the name Sophie, but rather, it was Princeton's ability to poach people.
As expected of the Americans, they can do whatever they want with the alumni association. It seems like the Paris Maxim Centre wasn't stolen, it was bought …
Lu Zhou suddenly understood why Princeton and Jin Ling University reached an "unequal agreement". He couldn't help but have a subtle expression on his face.
So it turns out that they're betting on the Fields Prize …
Molina crossed her arms and smirked as she said, "Then what's your choice?"
"Thank you for your invitation, but I refuse."
Lu Zhou walked past Molina and dragged his suitcase to the room at the end of the corridor.
What a joke.
As a candidate with a 99% probability of winning the prize, there's something wrong with finding a supervisor with an 80% probability of winning the prize!
…
Lu Zhou originally wanted to listen to a few lectures and ask around before choosing his supervisor. However, he underestimated how "tempting" a 21-year-old Cole Prize winner and Fields Prize candidate was to a Princeton professor.
He didn't know where the invitations to coffee parties and academic exchanges came from. When he was eating at the eating-clubs, a young female teaching assistant took the initiative to talk to him. Then, in less than ten sentences, they talked about the problem of his supervisor. She kept hinting that his supervisor was a good choice.
What was even worse was that Luo Wenxuan recommended so many people to him at the beginning. However, the next day at dinner, he started praising Edward Witten. Maybe it was because Luo Wenxuan bragged too much that a Mexican guy who was in condensed matter physics said, "That sissy?" The two almost fell out because of this.
This is all a trap.
Lu Zhou knew that he had to make a choice as soon as possible.
Lu Zhou went to Nassau Hall and asked for a list of doctoral supervisors. He carefully looked at the list for an hour and finally chose Professor Deligné as his first interview target.
The reason was simple.
Algebraic geometry was an important tool for analytic number theory, but it was Lu Zhou's weakness. He had always wanted to find Grothendieck's original manuscript, but when he got the electronic file from Academician Xiang, he realized that he couldn't read French at all.
Professor Deligné was Grothendieck's student and one of the leaders of Grothendieck's school of thought. There were only two people in the history of mathematics who won the Fields Prize, Wolf Prize, and Crafoord Prize. One of them was Qiu Chengtong, and the other was Deligné.
With Professor Deligné's knowledge, Lu Zhou would definitely learn a lot.
After making an appointment for the interview, Lu Zhou thought that this old professor, who was known for his rigor, would give him a test, even if it was just a formality. However, he didn't expect Deligné to just look at his materials and announce that he had passed the interview.
Deligné stood up from his chair and took down his gray trench coat and hat from the hanger.
"Welcome to the Princeton family, I'll help you with the relevant procedures."
"My research project focuses on the" standard conjectures ". Of course, I don't have any strict requirements for you, and I won't restrict your development. From my observations, you're a scholar who is good at independent research. But if you're willing to join my research project, I welcome you. If you're not interested, you can be like other PhD students and complete the tasks I give you. At the same time, you can also prepare your graduation thesis, and you can still get your PhD. "
Deligné paused for a second and looked at Lu Zhou.
"Of course, my expectations and requirements for you are higher than other people's. Your graduation thesis must at least meet the standards of Annual Mathematics. If everything goes well, you might be able to get your PhD next year. But if you're too lazy and waste your talent, you might never get it. "
Lu Zhou: "I understand … I want to think about your proposal."
Deligné nodded and said, "Yeah … It's fine, I understand, but you better hurry up. Try to give me an answer within three days, I don't want to wait too long. "
Lu Zhou: "Of course!"
…
The Riemann's conjecture was different from the twin prime conjecture and Polignac's conjecture. Although it seemed simple to describe, it could be described as "all the non-trivial zeros of the Riemann zeta function are located on the line Re (s) = 1/2 in the complex plane".
But in fact, it was a huge project, similar to a building.
Just like the Poincaré conjecture, without Smail's introduction of high-dimensional concepts in the 1960s, without Qiu Chengtong's theory of "using nonlinear differential equations to study geometric structure", there would be no Hamilton's breakthrough on the "Ricci flow" and the 1993 paper on singularity theory, and there would be no Perelman's final proof.
This was the objective law of proving a Millennium Prize Problem level mathematical proposition. Even a genius like Perelman could not skip all the previous work and directly prove that the Poincaré conjecture was true.
Forget about eight years, even if Gauss was given 80 years, it might not be enough.
The Riemann's conjecture was the same, and this building was even bigger than the Poincaré conjecture.
It was like an isolated mountain, and all the mathematicians were standing halfway up the mountain. They were not even sure how high the mountain was.
The only thing they were sure of was that no one had solved the mountain of problems. Whoever could solve all the problems leading to the Riemann's conjecture would receive ten Fields Prizes, but five would definitely be enough … Provided that one person could win that many times.
If someone thought that they could solve all the unsolved problems and use a mathematical method to prove the Riemann's conjecture, then they would be like the Nigerian professor in 2015, a layman who did not even know what the Riemann's conjecture was.
This was the same as someone in a novel who did not even have a lithography machine, but wanted to create a computer chip with a file. It was completely out of touch with reality. The Clay Institute would collect a few baskets of similar theses every year, but they were no different from waste paper.
Of course, modern mathematicians were not without ideas. Whether it was Kang Rui's "40% zero point" of the critical line theorem or Carl Bender's recent proposal to introduce the Riemann's conjecture into a special quantum mechanical system, they were all ideas.
There was also algebraic geometry as an entry point.
For example, the Weil's conjecture, which had been proven by Deligné (one of the most brilliant achievements in the field of pure numbers in the 1970s), was commonly described as the Riemann's conjecture in the function field. It was often referred to as the "knockoff" Riemann's conjecture.
As for the "standard conjecture" that Professor Deligné and Lu Zhou mentioned, it was the general form of the Weil's conjecture. It was proposed by the "pope" of modern algebraic geometry, Mr. Grothendieck. It was known as the crown of algebraic geometry.
If Professor Deligné wanted to fulfill his teacher's long-cherished wish of proving the Riemann's conjecture, then as an expert in algebraic geometry, he would have to face the standard conjecture.
When Lu Zhou returned to his dorm, he laid on his soft bed and seriously considered Professor Deligné's invitation.
Right now, he was faced with two choices.
One was to join Professor Deligné's research group. Although the standard conjecture could give him more experience points, this would undoubtedly delay the progress of the system mission. Especially since he did not know how far Professor Deligné had progressed and how much work he had yet to complete.
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