Chapter 1108 Needs an Outstanding Brain
"Unbelievable..."
The office of the School of Mathematics of Jinling University.
Standing in front of a whiteboard covered with writing, Schultz's face was filled with disbelief.
Although I have heard that Lu Zhou is good at solving various proof-type mathematical conjectures, but this kind of thing heard from other people's mouth is obviously not as shocking as seeing it with my own eyes.
During the month of working in the research group, often when he and Perelman were still discussing the solution to a complex proposition, this guy had already listed three possible ideas on the whiteboard, and compared them one by one. It's been tried.
He boasted that his calculation ability and thinking ability are very good, and he can even be said to be very powerful.
Otherwise, I wouldn't have won three IMO gold medals, and then I would quit the competition when I got bored and stop participating.
But even so, when he saw Lu Zhou's calculation ability against the sky, he was deeply shocked.
Often when he tries to try one of the possible ideas, Lu Zhou can basically give a positive conclusion on the result of the proposition.
However, when all of this is added up, I am afraid that it cannot be more intuitive than the current shock.
The proof of a mathematical conjecture is completed in one week.
This has almost refreshed his knowledge of algebraic geometry...
It also refreshed the understanding of other people in this office on the subject of algebraic geometry...
Staring blankly at the proof process written on the whiteboard, after a while, Schultz looked at Lu Zhou with a blank expression: "Did you install something like a chip behind your head?"
Putting away the marker pen in his hand, and meeting Schultz's confused eyes, Lu Zhou was slightly stunned and asked: "...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 little time to solve... Seriously, Don't you even need a draft?"
Lu Zhou replied of course: "Not all problems need to be solved by scratch paper. Some vague problems can be solved by relying on mathematical intuition. As for abstract problems, conceiving in the mind will have unexpected effects...Of course, most Most of the time I still do the calculations on scratch paper, but maybe you didn't notice."
I only felt my scalp tingling for a while, Schultz coughed dryly, and quickly ended the topic: "...Well, maybe your speed is too fast for me to notice."
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
"Stop flattering each other," Faltins said, staring at the calculations on the whiteboard, "let's continue."
Lu Zhou nodded and brought the topic back on track.
"...According to the above, the Beilinson-Bloch conjecture is established, that is, rank(K2(E))=1+spl(E)."
"Thus, according to our 'Fold method', we can directly deduce that Cq(D,k)={(f(x1),···,f(xn))∈Fnq|f(x)∈Fq[x ], degf(x)≤k1}... established, and directly substituting this result into Corollary 4, it is possible to establish a close enough relationship between H(v) and the irreducible motive.”
Staring at the calculation formula on the whiteboard, Faltings said in a deep voice: "From this we can get a general cohomology theory, which can carry forward the success of the Jacobi cluster theory and Abel cluster theory of curves,"
"Yes, this is exactly what we need and the key to solving the problem!"
With a snap of his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, and the rest is how to combine the two Two for one."
The ultimate proposition since the days 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 sitting in the office watching from afar...
The silence lasted about five minutes.
Almost at the same time as Lu Zhou withdrew his gaze from the whiteboard, Faltins looked at him and said.
"This part does not seem to be a problem that can be solved by conventional methods."
"It seems that you have noticed too."
"...I propose a Princeton solution."
"We thought of going together."
Perelman watched the conversation between the two without knowing it. Schultz seemed to understand it, so he didn't speak. But Chen Yang hesitated for a while, and asked out the confusion in his heart with the attitude of asking if he didn't understand.
"What is Princeton's method?"
"The format of independent research + seminars," Schultz explained with a smile, "for outstanding minds, teamwork on groundbreaking problems will actually delay the efficiency of thinking."
Lu Zhou nodded and said in agreement.
"That's it. The work within the framework has been completed, and the rest is groundbreaking work. This part cannot be completed by discussion. I propose to hold a discussion meeting to exchange opinions on a weekly or monthly basis, and the remaining The time ... is still in the form of independent research."
As Lu Zhou said.
Compared with those problems in the previous stage that were considered within the framework and could be solved through step-by-step work, the research in this last stage has completely deviated 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 certain moment of that flash of inspiration.
And this momentary light can not only break through the momentary darkness, but even change the history of science and even the course of history, and illuminate a certain period of human civilization.
This is why it is said that mathematics is the last stage of individual heroism in the field of scientific research.
Because without this extraordinary brain, without this moment of inspiration, some problems may never be solved, and this darkness will continue, and continue for a long, long time.
Nodding in agreement, Faltings continued.
"It just so happens that I have to deal with some things when I return to the Max Planck Institute. In the middle of next month...forget it, it will be the end of the month. I will come here again at that time and hold this discussion meeting."
"Then I'll go back to the University of Bonn as well," Schultz said with a smile, "I can't let the students I lead be too idle, and I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
Lu Zhou looked at Perelman: "What about you?"
Perelman didn't think too much, and said without thinking: "I told my mother that I will go back after solving this problem. Anyway, I don't have other jobs, so I will stay here for the time being."
Or you might as well take your mother over.
Of course, Lu Zhou just thought about this sentence, but he didn't bring it up in the end.
Although it is a well-intentioned suggestion, it is a bit presumptuous to say such a personal matter.
Moreover, he suddenly thought of his parents.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling to live, the feeling of being unable to leave their homeland is the same for anyone who is old.
Lu Zhou didn't say much on this issue, and looked at the whiteboard in front of him.
"...I plan to publish this proof of the Beilinson-Bloch conjecture on "Mathematical Future", do you have any comments?"
People in the office looked at me and I looked at you, but no one spoke for a while.
"...No," finally breaking the enigmatic silence, 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 accurate than you. has the right to decide where it is published...even if I prefer Mathematical Inventions."
Faltings also nodded.
"I agree with him."
(In the past two days, I saw a good book and recommend it to everyone. The title of the book is "I Add a Point to Everything". The setting is very interesting. Interested children's shoes can be watched~)