"Incredible......

The office of the School of Mathematics of Jinling University.

Standing in front of a whiteboard written on all sides, Schultz's face was filled with disbelief.

Although I have long heard of Lu Zhou's mathematical conjectures that are good at solving various proof classes, this kind of thing that I heard from others obviously did not have the shock I saw with my own eyes.

During the month he was working in the group, he and Perelman were often discussing the solution of a complex proposition, and this guy had already listed three possible ideas on the whiteboard and tried them one by one.

He boasts that his calculation and thinking skills are very good, and he can even be said to be very strong.

Otherwise, I wouldn't have won three Imo gold medals, and when I got bored, I would have withdrawn from the competition and would not participate again.

But even so, when he saw Lu Zhou's calculation ability against the sky, he was still deeply shocked.

Often when he tried to try one of the ideas of existential possibility, Lu Zhou could basically give a positive conclusion about the result of the proposition.

However, all of this adds up to something more intuitive than the current shock.

It takes a week to complete the proof of a mathematical conjecture.

This has almost refreshed his understanding of algebraic geometry......

It also refreshed the understanding of the discipline of algebraic geometry by other people in this office......

Stunned, he looked at the proof process written on the whiteboard, and after a while, Schultz looked at Lu Zhou with a blank expression: "Did you install some chip or something like that on the back of your head?" ”

Putting away the marker pen in his hand, and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...... Why do you feel that? ”

“…… Because you're already faster than I understand math," Schultz said with a complicated expression, "and even some problems that seem to me to take a little time to solve...... Seriously, you don't even need to type drafts? ”

Lu Zhou replied as a matter of course: "Not all problems need to be solved by scratch paper, some vague problems can rely on mathematical intuition, and as for abstract problems, conceiving them in the mind will have unexpected effects...... Of course, most of the time I'll still do the math on scratch paper, but maybe you don't notice. ”

Feeling a tingling in the scalp, Schultz coughed dryly and quickly ended the topic: "...... Well, maybe you're so fast that I can't even notice it. ”

Lu Zhou: "...... Thanks for the compliment, if there is such a chip, I will definitely give you one. ”

"Don't flatter each other yet," Faltins said, staring at the equation on the board, "let's move on." ”

Lu Zhou nodded, bringing the topic back on track.

“…… Based on the above, the Beilinson-Bloch conjecture is true, i.e., rank(K2(E))=1+spl(E). ”

"Thus, according to our 'Fold method', Cq(D,k)={(f(x1),···,f(xn))∈Fnq|f(x)∈Fq[x],degf(x)≤k?1}...... If this result is directly substituted into inference 4, it is possible to establish a sufficiently close correlation between H(v) and irreducible motive. ”

Staring at the equation on the whiteboard, Faltins muttered, "From this we can get a general theory of upper cohomology, which can carry forward the success of both the Jacobi cluster theory and the Abel cluster theory of curves."

"That's right, that's exactly what we need, and it's the key to solving the problem!"

With a snap of his fingers, Lu Zhou cast his gaze to the whiteboard, his eyes full of fascination, "Now that the abstract parts of numbers and shapes in Motive's theory and Langlands program have been extracted by us, all that remains is how to combine the two into one." ”

The ultimate proposition since the time of Archimedes!

This holy grail, which has stood for thousands of years, is right in front of them!

Everyone held their breath in unison.

Even the students and assistants who sat in their offices and watched from afar......

The silence lasted about five minutes.

Almost at the same time as Lu Zhou withdrew his gaze from the whiteboard, Faltins glanced at him and spoke.

"This part doesn't seem to be a problem that can be solved by conventional methods."

"Looks like you've noticed it too."

“…… I propose to solve it with the Princeton method. ”

"We thought of going together."

Perelman watched the conversation between the two in confusion, and Schultz seemed to understand, so he did not speak. Chen Yang hesitated, and asked the confusion in his heart with the attitude of asking if he didn't understand.

"What's Princeton's method?"

"The format of independent research + seminars," Schultz smiled, explains, "is that teamwork on groundbreaking issues can delay the efficiency of thinking for brilliant minds." ”

Lu Zhou nodded and said in agreement.

"That's right. The work within the framework is over, and the rest is groundbreaking. This part is not something that can be done by discussion, and I propose to hold a discussion session on a weekly or monthly basis to exchange views, and the rest of the time is ...... It is still carried out in the form of independent research. ”

As Lu Zhou said.

Compared with the problems that can be solved within the framework and through step-by-step work in the previous stage, this last stage of research has completely departed from the scope of the framework.

To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain, and a moment of inspiration.

And this momentary light will not only break through the darkness of the moment, but even change the history of science and even the course of history, illuminating a certain period of human civilization.

This is the reason why mathematics is the last stage of individual heroism in the field of scientific research.

Because without this brilliant brain, without this flash of inspiration, some problems may never be solved, and this darkness will continue to go on for a long, long time.

Nodding in agreement, Faltins continued.

"It just so happens that I have some business to deal with when I go back to the Max Planck office, and in the middle of next month...... Forget it, it's still the end of the month. I'll come back here and have this discussion meeting at that point. ”

"Then I'll go back to the University of Bonn," Schultz said with a smile, "and I can't let the students I take with me be too idle, and I'll have to find something for them to do." And maybe they'll be able to come up with some interesting ideas. ”

Lu Zhou looked at Perelman: "What about you?" ”

Perelman didn't think too much about it, and said without thinking: "I told my mother that I would go back after solving this problem, anyway, I don't have any other work, so I'll stay here for the time being." ”

Why don't you just take your mother over?

Of course, Lu Zhou thought about this sentence, but in the end he didn't put it forward.

Although it is a well-intentioned suggestion, it is still a bit presumptuous to say such a private matter.

Moreover, he suddenly thought of his father and mother.

Just like his father and mother are still reluctant to leave their hometown and move to Jinling to live, the inseparable feelings of their homeland are the same for anyone of age.

Without saying anything more on this issue, Lu Zhou looked at the whiteboard in front of him.

“…… Do you have any comments on this proof of the Beilinson-Bloch conjecture that I plan to publish in the Future of Mathematics? ”

The people in the office, you looked at me, I looked at you, and no one spoke for a while.

“…… No," Schultz shook his head and said with a helpless expression, "The proof of this conjecture is basically done by you alone, and no one is more qualified than you to decide where it is published...... Even if I'm more inclined to Mathematical Inventions. ”

Faltins nodded.

"I agree with him."