"Unbelievable …"
Jin Ling University mathematics department office.
Schulz stood in front of a whiteboard filled with writing. He had a look of disbelief on his face.
Even though he had heard that Lu Zhou was good at solving all kinds of mathematical conjectures, hearing it from someone else wasn't as shocking as seeing it with his own eyes.
Over the past month, while he and Perelman were discussing the solution of a complex proposition, Lu Zhou had already listed three possible ideas on the whiteboard and tried them one by one.
He prided himself on his ability to calculate and think. It could even be said that he was very strong.
Otherwise, he wouldn't have won three IMO gold medals and quit the competition because he was bored.
Even so, when he saw Lu Zhou's insane computing abilities, he was still deeply shocked.
Often, when he tried to try one of the possible ideas, Lu Zhou could basically give a positive conclusion about the result of the proposition.
However, nothing was as shocking as what Lu Zhou was experiencing right now.
Lu Zhou completed a proof of a mathematical conjecture in one week.
This completely changed his knowledge of algebraic geometry …
It also changed the knowledge of other people in the office about algebraic geometry …
Schulz stared at the proof process on the whiteboard. After a while, he looked at Lu Zhou and said, "Do you have a chip installed in the back of your head?"
Lu Zhou put away the marker in his hand and looked at Schulz. He paused for a second and said, "Why do you think so?"
"… Because your calculation speed has exceeded my understanding of mathematics," Schultz said with a complicated expression. "Even some problems that I think will take a while to solve … Seriously, don't you need to draft?"
Lu Zhou said, "Not all problems need to be solved with a draft. Some vague problems can be solved with mathematical intuition. As for abstract problems, it can have unexpected results … Of course, most of the time, I still do the calculations on a draft. Maybe you didn't notice."
Schultz felt his scalp tingle. He coughed and quickly ended the conversation. "Well, maybe you're too fast for me to notice."
Lu Zhou: "… Thanks for the compliment. If there really is a chip like that, I'll definitely give you one."
"Stop flattering each other." Faltings stared at the calculations on the whiteboard and said, "Let's continue."
Lu Zhou nodded and brought the topic back on track.
"… Based on the above, the Beilinson-Bloch conjecture is valid, that is, rank (K2 (E)) = 1 + spl (E).
"Therefore, according to our 'Fold method', we can directly deduce that Cq (D, k) = {(f (x1), … ·, f (xn)) ∈ Fnq | f (x) ∈ Fq [x], degf (x) ≤ k? 1} … is valid. Directly substituting this result into inference 4, we can establish a close enough relationship between H (v) and the irreducible motive. "
Faltings stared at the calculations on the whiteboard and said, "From this, we can obtain a general cohomology theory, which can carry forward the success of the Jacobi cluster theory and the Abel cluster theory."
"That's right, this is what we need, and it is the key to solving the problem!"
Lu Zhou snapped his fingers and looked at the whiteboard. His eyes were full of fascination as he said, "Now that we have extracted the abstract parts of motive theory and the Langlands program, all that's left is to combine the two."
The ultimate proposition since the era of Archimedes!
The thousand-year-old holy grail was right in front of them!
Everyone held their breath at the same time.
Even the students and assistants sitting in the office watching from afar …
The silence lasted for about five minutes.
Faltings looked away from the whiteboard at the same time as Lu Zhou.
He looked at Lu Zhou and said, "This part doesn't seem to be a problem that can be solved using conventional methods.
"Looks like you noticed it too."
"… I suggest using the Princeton method."
"We're thinking of the same thing."
Perelman looked at the conversation between the two. Schulz seemed to understand, so he didn't say anything. Chen Yang, on the other hand, hesitated for a moment. Then, with the attitude of asking what he didn't understand, he asked the question in his heart.
"What's the Princeton method?"
"Independent research and discussion." Schulz smiled and explained, "For outstanding minds, working together on a groundbreaking problem will slow down the efficiency of thinking."
Lu Zhou nodded and agreed.
"Here's the thing. The work within the framework is done, the rest is groundbreaking work. This part is not something that can be completed through discussion. I suggest that we hold a discussion every week or a month to exchange opinions. The rest of the time … should be carried out in the form of independent research. "
Just like what Lu Zhou said.
Compared to the previous phase, which was within the framework and could be solved step by step, this last phase of research was completely out of the scope of the framework.
In order to solve it, what was needed was not a group of outstanding brains, but a certain outstanding brain, as well as a certain moment of inspiration.
And this momentary light would not only break through the darkness for a moment, but it could also change the history of science and even the course of history, illuminating a certain period of human civilization.
This was why mathematics was the last stage of personal heroism in the field of scientific research.
Because without this outstanding brain, without this flash of inspiration, some problems might never be solved, and this darkness would continue for a very, very long time.
Faltings nodded and spoke.
"I still have some things to deal with at the Max Planck Institute, the middle of next month … Forget it, at the end of the month. By then, I'll come back here again and have this discussion meeting. "
"Then I'll go back to the University of Bonn." Schulz smiled and said, "I can't let my students have too much free time. I have to find something for them to do. Maybe they can come up with some interesting ideas. "
Lu Zhou looked at Perelman and asked, "What about you?"
Perelman didn't think too much. He said without hesitation, "I told my mother that I'll go back after solving this problem. I don't have any other work anyway, so I'll stay here for the time being."
Why don't you just bring your mother here?
Of course, Lu Zhou thought about this for a second, but he didn't say it in the end.
Even though it was a kind suggestion, it was still a bit presumptuous to say it out loud.
Moreover, he suddenly thought of his father and mother.
Just like how his parents didn't want to leave their hometown to live in Jinling, the feeling of being unable to leave one's hometown was the same for anyone who was older.
Lu Zhou didn't say anything else on this issue. He looked at the whiteboard in front of him.
"… I plan on publishing this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any opinions?"
The people in the office looked at each other, and no one spoke for a while.
"… No." Schulz finally broke the silence. He shook his head and said with a helpless expression, "The proof of this conjecture was basically completed by you alone. No one is more qualified than you to decide where it should be published … Even though I prefer Inventiones Mathematica."
Faltings also nodded.
"I agree with him."
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