“Incredible…”
Almost at the same time as Lu Zhou, Faltings looked away from the whiteboard and looked at each other before speaking.
"...According to the above, the Beilinson-Bloch conjecture is established, that is, rank(K2(E))=1+spl(E)."
“What’s Princeton’s approach?”
After 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 a chip or something like that on the back of your head?"
This Holy Grail, which has stood for thousands of years, is right in front of them!
"It just so happens that I have some things to deal with when I return to the Max Planck Institute. In the middle of next month... forget it, let's let it be the end of the month. By then I will come here again to hold this discussion meeting."
Office of the School of Mathematics, Jinling University.
Just as Lu Zhou said.
This has almost refreshed his understanding of algebraic geometry...
Standing in front of a whiteboard filled with writing on all sides, Schultz's face was filled with an expression of disbelief.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
Faltins also nodded.
Even the students and assistants sitting in the office, watching from a distance...
"This part doesn't seem to be a problem that can be solved by conventional methods."
Lu Zhou looked at Perelman: "What about you?"
People in the office looked at me and I looked at you, but no one spoke for a while.
"This part doesn't seem to be a problem that can be solved by conventional methods."
Although I had long heard that Lu Zhou was good at solving mathematical conjectures of various types of proofs, what I heard from others was obviously not as shocking as seeing it with my own eyes.
Lu Zhou looked at Perelman: "What about you?"
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
During this month of working in the research group, often when he and Perelman were still discussing the solution of a complex proposition, this guy would already list three possible ideas on the whiteboard and match them one by one. It tried.
Lu Zhou looked at Perelman: "What about you?"
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
Nodding in agreement, Faltins continued.
The ultimate proposition since the time of Archimedes!
He boasts that his calculation and thinking skills are very good, and he can even be said to be very powerful.
Otherwise, I wouldn’t have won three IMO gold medals, then quit the competition when I got bored and stopped participating.
"It seems you noticed it too."
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
Otherwise, I wouldn’t have won three IMO gold medals, then quit the competition when I got bored and stopped participating.
Otherwise, I wouldn’t have won three IMO gold medals, then quit the competition when I got bored and stopped participating.
The ultimate proposition since the time of Archimedes!
Putting away the marker in his hand and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...Why do you think so?"
"We thought of going together."
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
Although I had long heard that Lu Zhou was good at solving mathematical conjectures of various types of proofs, what I heard from others was obviously not as shocking as seeing it with my own eyes.
"Then I'll go back to the University of Bonn," Schulz said with a smile. "I can't let the students I teach be too idle. I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
Staring at the calculations on the whiteboard, Faltings said in a deep voice: "From this we can obtain a general cohomology theory, which can carry forward the success of the Jacobi variety theory and Abel variety theory of curves."
But even so, he was still deeply shocked when he saw Lu Zhou's incredible computing power.
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
But even so, he was still deeply shocked when he saw Lu Zhou's incredible computing power.
People in the office looked at me and I looked at you, but no one spoke for a while.
He boasts that his calculation and thinking skills are very good, and he can even be said to be very powerful.
Staring at the calculations on the whiteboard, Faltings said in a deep voice: "From this we can obtain a general cohomology theory, which can carry forward the success of the Jacobi variety theory and Abel variety theory of curves."
Why don't you just take your mother over
Often when he tries one of the possible ideas, Lu Zhou can basically come up with a positive conclusion on the outcome of the proposition.
Lu Zhou replied of course: "Not all problems need to be solved with scratch paper. Some vague problems can be solved by mathematical intuition. As for abstract problems, conceived in the mind will have unexpected effects... Of course, most of them Under the circumstances, I would still calculate it in writing on the scratch paper, but maybe you didn’t notice it.”
Otherwise, I wouldn’t have won three IMO gold medals, then quit the competition when I got bored and stopped participating.
“What’s Princeton’s approach?”
"Yes, this is exactly what we need, and it is also the key to solving the problem!"
Standing in front of a whiteboard filled with writing on all sides, Schultz's face was filled with an expression of disbelief.
Snapping his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now that we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, the only thing left is how to combine the two. Two become one.”
“…I propose a Princeton solution.”
However, all of these combined may not be as intuitive as the current shock.
“…I propose a Princeton solution.”
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
It also refreshed the understanding of other people in this office about the subject of algebraic geometry...
Faltins also nodded.
The silence lasted about five minutes.
"This part doesn't seem to be a problem that can be solved by conventional methods."
It takes one week to complete the proof of a mathematical conjecture.
"I agree with him."
After 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 a chip or something like that on the back of your head?"
Almost at the same time as Lu Zhou, Faltings looked away from the whiteboard and looked at each other before speaking.
This has almost refreshed his understanding of algebraic geometry...
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Moreover, he suddenly thought of his parents.
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
“Incredible…”
Putting away the marker in his hand and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...Why do you think so?"
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
He boasts that his calculation and thinking skills are very good, and he can even be said to be very powerful.
It also refreshed the understanding of other people in this office about the subject of algebraic geometry...
"From this, according to our 'Fold method', we can directly deduce Cq(D,k)={(f(x1),···,f(xn))∈Fnq|f(x)∈Fq[x ], degf(x)≤k-1}... is established. By directly substituting this result into Corollary 4, we can establish a sufficiently close relationship between H(v) and the irreducible motive.”
Putting away the marker in his hand and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...Why do you think so?"
Office of the School of Mathematics, Jinling University.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
He boasts that his calculation and thinking skills are very good, and he can even be said to be very powerful.
This Holy Grail, which has stood for thousands of years, is right in front of them!
After 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 a chip or something like that on the back of your head?"
Putting away the marker in his hand and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...Why do you think so?"
Almost at the same time as Lu Zhou, Faltings looked away from the whiteboard and looked at each other before speaking.
Lu Zhou looked at Perelman: "What about you?"
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
Snapping his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now that we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, the only thing left is how to combine the two. Two become one.”
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
Putting away the marker in his hand and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...Why do you think so?"
“…I propose a Princeton solution.”
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
"... Because your calculation speed has exceeded my understanding of mathematics," Schulz said with a complex expression, "Even some problems that in my opinion will take a while to solve... To be honest, you Don’t you need a draft?”
Lu Zhou nodded and brought the topic back on track.
Compared with the 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 broken away from the scope of the framework.
Everyone held their breath in unison.
Lu Zhou replied of course: "Not all problems need to be solved with scratch paper. Some vague problems can be solved by mathematical intuition. As for abstract problems, conceived in the mind will have unexpected effects... Of course, most of them Under the circumstances, I would still calculate it in writing on the scratch paper, but maybe you didn’t notice it.”
After 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 a chip or something like that on the back of your head?"
It takes one week to complete the proof of a mathematical conjecture.
However, all of these combined may not be as intuitive as the current shock.
Standing in front of a whiteboard filled with writing on all sides, Schultz's face was filled with an expression of disbelief.
Snapping his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now that we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, the only thing left is how to combine the two. Two become one.”
Standing in front of a whiteboard filled with writing on all sides, Schultz's face was filled with an expression of disbelief.
Feeling a numbness in his scalp, Schultz coughed dryly and quickly ended the topic: "...well, maybe you are so fast that I don't notice."
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
"...According to the above, the Beilinson-Bloch conjecture is established, that is, rank(K2(E))=1+spl(E)."
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
"It seems you noticed it too."
“…I propose a Princeton solution.”
Office of the School of Mathematics, Jinling University.
"...According to the above, the Beilinson-Bloch conjecture is established, that is, rank(K2(E))=1+spl(E)."
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
After 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 a chip or something like that on the back of your head?"
"Yes, this is exactly what we need, and it is also the key to solving the problem!"
Moreover, he suddenly thought of his parents.
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Faltins also nodded.
Moreover, he suddenly thought of his parents.
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
"Stop complimenting each other," Faltings said, staring at the calculations on the whiteboard, "Let's continue."
"It just so happens that I have some things to deal with when I return to the Max Planck Institute. In the middle of next month... forget it, let's let it be the end of the month. By then I will come here again to hold this discussion meeting."
Feeling a numbness in his scalp, Schultz coughed dryly and quickly ended the topic: "...well, maybe you are so fast that I don't notice."
Because without this outstanding brain and this moment of inspiration, some problems may never be solved, and this darkness will continue to last for a long, long time.
During this month of working in the research group, often when he and Perelman were still discussing the solution of a complex proposition, this guy would already list three possible ideas on the whiteboard and match them one by one. It tried.
The silence lasted about five minutes.
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
Lu Zhou nodded and brought the topic back on track.
Lu Zhou nodded and brought the topic back on track.
"... Because your calculation speed has exceeded my understanding of mathematics," Schulz said with a complex expression, "Even some problems that in my opinion will take a while to solve... To be honest, you Don’t you need a draft?”
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
"Yes, this is exactly what we need, and it is also the key to solving the problem!"
Feeling a numbness in his scalp, Schultz coughed dryly and quickly ended the topic: "...well, maybe you are so fast that I don't notice."
Putting away the marker in his hand and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...Why do you think so?"
"...According to the above, the Beilinson-Bloch conjecture is established, that is, rank(K2(E))=1+spl(E)."
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
Staring at the calculations on the whiteboard, Faltings said in a deep voice: "From this we can obtain a general cohomology theory, which can carry forward the success of the Jacobi variety theory and Abel variety theory of curves."
Because without this outstanding brain and this moment of inspiration, some problems may never be solved, and this darkness will continue to last for a long, long time.
It takes one week to complete the proof of a mathematical conjecture.
"It just so happens that I have some things to deal with when I return to the Max Planck Institute. In the middle of next month... forget it, let's let it be the end of the month. By then I will come here again to hold this discussion meeting."
The ultimate proposition since the time of Archimedes!
"Then I'll go back to the University of Bonn," Schulz said with a smile. "I can't let the students I teach be too idle. I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
"From this, according to our 'Fold method', we can directly deduce Cq(D,k)={(f(x1),···,f(xn))∈Fnq|f(x)∈Fq[x ], degf(x)≤k-1}... is established. By directly substituting this result into Corollary 4, we can establish a sufficiently close relationship between H(v) and the irreducible motive.”
The ultimate proposition since the time of Archimedes!
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
And the light of this moment will not only break through the temporary darkness, but will even change the history of science and even the course of history, illuminating a certain period of human civilization.
Staring at the calculations on the whiteboard, Faltings said in a deep voice: "From this we can obtain a general cohomology theory, which can carry forward the success of the Jacobi variety theory and Abel variety theory of curves."
"... Because your calculation speed has exceeded my understanding of mathematics," Schulz said with a complex expression, "Even some problems that in my opinion will take a while to solve... To be honest, you Don’t you need a draft?”
Compared with the 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 broken away from the scope of the framework.
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
"From this, according to our 'Fold method', we can directly deduce Cq(D,k)={(f(x1),···,f(xn))∈Fnq|f(x)∈Fq[x ], degf(x)≤k-1}... is established. By directly substituting this result into Corollary 4, we can establish a sufficiently close relationship between H(v) and the irreducible motive.”
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
"Yes, this is exactly what we need, and it is also the key to solving the problem!"
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
“What’s Princeton’s approach?”
This has almost refreshed his understanding of algebraic geometry...
After 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 a chip or something like that on the back of your head?"
Lu Zhou replied of course: "Not all problems need to be solved with scratch paper. Some vague problems can be solved by mathematical intuition. As for abstract problems, conceived in the mind will have unexpected effects... Of course, most of them Under the circumstances, I would still calculate it in writing on the scratch paper, but maybe you didn’t notice it.”
“…I propose a Princeton solution.”
Snapping his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now that we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, the only thing left is how to combine the two. Two become one.”
“What’s Princeton’s approach?”
Perelman watched the conversation between the two without knowing what was going on. Schultz seemed to understand, so he didn't speak. Chen Yang hesitated for a moment, and with the attitude of asking if he didn't understand, he asked out the confusion in his heart.
The ultimate proposition since the time of Archimedes!
"Then I'll go back to the University of Bonn," Schulz said with a smile. "I can't let the students I teach be too idle. I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
This has almost refreshed his understanding of algebraic geometry...
This Holy Grail, which has stood for thousands of years, is right in front of them!
He boasts that his calculation and thinking skills are very good, and he can even be said to be very powerful.
After 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 a chip or something like that on the back of your head?"
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Everyone held their breath in unison.
Everyone held their breath in unison.
Although I had long heard that Lu Zhou was good at solving mathematical conjectures of various types of proofs, what I heard from others was obviously not as shocking as seeing it with my own eyes.
"...No," finally breaking the confused silence, Schulz shook his head and said with a helpless expression, "The proof of this conjecture was basically completed by you alone. No one is better than you." Qualifications determine where it is published... even if I prefer Mathematical Inventions."
People in the office looked at me and I looked at you, but no one spoke for a while.
Compared with the 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 broken away from the scope of the framework.
Why don't you just take your mother over
Even the students and assistants sitting in the office, watching from a distance...
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
Moreover, he suddenly thought of his parents.
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Moreover, he suddenly thought of his parents.
But even so, he was still deeply shocked when he saw Lu Zhou's incredible computing power.
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
The silence lasted about five minutes.
But even so, he was still deeply shocked when he saw Lu Zhou's incredible computing power.
“What’s Princeton’s approach?”
Because without this outstanding brain and this moment of inspiration, some problems may never be solved, and this darkness will continue to last for a long, long time.
Lu Zhou nodded and said in agreement.
After 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 a chip or something like that on the back of your head?"
"... Because your calculation speed has exceeded my understanding of mathematics," Schulz said with a complex expression, "Even some problems that in my opinion will take a while to solve... To be honest, you Don’t you need a draft?”
Almost at the same time as Lu Zhou, Faltings looked away from the whiteboard and looked at each other before speaking.
Office of the School of Mathematics, Jinling University.
"We thought of going together."
Faltins also nodded.
"This part doesn't seem to be a problem that can be solved by conventional methods."
“…I propose a Princeton solution.”
But even so, he was still deeply shocked when he saw Lu Zhou's incredible computing power.
Snapping his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now that we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, the only thing left is how to combine the two. Two become one.”
Why don't you just take your mother over
"It seems you noticed it too."
"We thought of going together."
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
This has almost refreshed his understanding of algebraic geometry...
"It just so happens that I have some things to deal with when I return to the Max Planck Institute. In the middle of next month... forget it, let's let it be the end of the month. By then I will come here again to hold this discussion meeting."
“…I propose a Princeton solution.”
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
Without saying anything more on this issue, Lu Zhou looked at the whiteboard in front of him.
Often when he tries one of the possible ideas, Lu Zhou can basically come up with a positive conclusion on the outcome of the proposition.
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
He boasts that his calculation and thinking skills are very good, and he can even be said to be very powerful.
Lu Zhou replied of course: "Not all problems need to be solved with scratch paper. Some vague problems can be solved by mathematical intuition. As for abstract problems, conceived in the mind will have unexpected effects... Of course, most of them Under the circumstances, I would still calculate it in writing on the scratch paper, but maybe you didn’t notice it.”
Putting away the marker in his hand and meeting Schultz's confused gaze, Lu Zhou was slightly stunned and asked, "...Why do you think so?"
"We thought of going together."
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
Of course, Lu Zhou just thought about this sentence for a while but did not bring it up in the end.
Perelman watched the conversation between the two without knowing what was going on. Schultz seemed to understand, so he didn't speak. Chen Yang hesitated for a moment, and with the attitude of asking if he didn't understand, he asked out the confusion in his heart.
"...No," finally breaking the confused silence, Schulz shook his head and said with a helpless expression, "The proof of this conjecture was basically completed by you alone. No one is better than you." Qualifications determine where it is published... even if I prefer Mathematical Inventions."
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
"We thought of going together."
“What’s Princeton’s approach?”
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
Perelman watched the conversation between the two without knowing what was going on. Schultz seemed to understand, so he didn't speak. Chen Yang hesitated for a moment, and with the attitude of asking if he didn't understand, he asked out the confusion in his heart.
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
Lu Zhou replied of course: "Not all problems need to be solved with scratch paper. Some vague problems can be solved by mathematical intuition. As for abstract problems, conceived in the mind will have unexpected effects... Of course, most of them Under the circumstances, I would still calculate it in writing on the scratch paper, but maybe you didn’t notice it.”
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Almost at the same time as Lu Zhou, Faltings looked away from the whiteboard and looked at each other before speaking.
"Yes, this is exactly what we need, and it is also the key to solving the problem!"
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
The silence lasted about five minutes.
Everyone held their breath in unison.
"...No," finally breaking the confused silence, Schulz shook his head and said with a helpless expression, "The proof of this conjecture was basically completed by you alone. No one is better than you." Qualifications determine where it is published... even if I prefer Mathematical Inventions."
Lu Zhou nodded and said in agreement.
After 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 a chip or something like that on the back of your head?"
"Stop complimenting each other," Faltings said, staring at the calculations on the whiteboard, "Let's continue."
"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 discussions on a weekly or monthly basis to exchange opinions. The remaining The time... is still conducted in the form of independent research.”
Of course, Lu Zhou just thought about this sentence for a while but did not bring it up in the end.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
Perelman watched the conversation between the two without knowing what was going on. Schultz seemed to understand, so he didn't speak. Chen Yang hesitated for a moment, and with the attitude of asking if he didn't understand, he asked out the confusion in his heart.
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
"Then I'll go back to the University of Bonn," Schulz said with a smile. "I can't let the students I teach be too idle. I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
And the light of this moment will not only break through the temporary darkness, but will even change the history of science and even the course of history, illuminating a certain period of human civilization.
Just as Lu Zhou said.
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
Lu Zhou replied of course: "Not all problems need to be solved with scratch paper. Some vague problems can be solved by mathematical intuition. As for abstract problems, conceived in the mind will have unexpected effects... Of course, most of them Under the circumstances, I would still calculate it in writing on the scratch paper, but maybe you didn’t notice it.”
“Incredible…”
This Holy Grail, which has stood for thousands of years, is right in front of them!
But even so, he was still deeply shocked when he saw Lu Zhou's incredible computing power.
"I agree with him."
Compared with the 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 broken away from the scope of the framework.
“What’s Princeton’s approach?”
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
"Yes, this is exactly what we need, and it is also the key to solving the problem!"
He boasts that his calculation and thinking skills are very good, and he can even be said to be very powerful.
"Then I'll go back to the University of Bonn," Schulz said with a smile. "I can't let the students I teach be too idle. I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
After 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 a chip or something like that on the back of your head?"
Nodding in agreement, Faltins continued.
"This part doesn't seem to be a problem that can be solved by conventional methods."
"We thought of going together."
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
Snapping his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now that we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, the only thing left is how to combine the two. Two become one.”
"Then I'll go back to the University of Bonn," Schulz said with a smile. "I can't let the students I teach be too idle. I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
And the light of this moment will not only break through the temporary darkness, but will even change the history of science and even the course of history, illuminating a certain period of human civilization.
"Stop complimenting each other," Faltings said, staring at the calculations on the whiteboard, "Let's continue."
“What’s Princeton’s approach?”
Lu Zhou nodded and brought the topic back on track.
Standing in front of a whiteboard filled with writing on all sides, Schultz's face was filled with an expression of disbelief.
Lu Zhou nodded and brought the topic back on track.
However, all of these combined may not be as intuitive as the current shock.
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
"I agree with him."
"It just so happens that I have some things to deal with when I return to the Max Planck Institute. In the middle of next month... forget it, let's let it be the end of the month. By then I will come here again to hold this discussion meeting."
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Because without this outstanding brain and this moment of inspiration, some problems may never be solved, and this darkness will continue to last for a long, long time.
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
Moreover, he suddenly thought of his parents.
The silence lasted about five minutes.
Nodding in agreement, Faltins continued.
"I agree with him."
"It seems you noticed it too."
"It just so happens that I have some things to deal with when I return to the Max Planck Institute. In the middle of next month... forget it, let's let it be the end of the month. By then I will come here again to hold this discussion meeting."
"Stop complimenting each other," Faltings said, staring at the calculations on the whiteboard, "Let's continue."
"It seems you noticed it too."
Often when he tries one of the possible ideas, Lu Zhou can basically come up with a positive conclusion on the outcome of the proposition.
"I agree with him."
It also refreshed the understanding of other people in this office about the subject of algebraic geometry...
Of course, Lu Zhou just thought about this sentence for a while but did not bring it up in the end.
"Then I'll go back to the University of Bonn," Schulz said with a smile. "I can't let the students I teach be too idle. I have to find something for them to do. And maybe, They can also come up with some interesting ideas.”
"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 discussions on a weekly or monthly basis to exchange opinions. The remaining The time... is still conducted in the form of independent research.”
Although I had long heard that Lu Zhou was good at solving mathematical conjectures of various types of proofs, what I heard from others was obviously not as shocking as seeing it with my own eyes.
Lu Zhou nodded and brought the topic back on track.
Of course, Lu Zhou just thought about this sentence for a while but did not bring it up in the end.
Lu Zhou looked at Perelman: "What about you?"
Office of the School of Mathematics, Jinling University.
Snapping his fingers, Lu Zhou turned his gaze to the whiteboard, his eyes full of fascination, "Now that we have extracted the abstract parts of numbers and shapes from the motivation theory and the Langlands program, the only thing left is how to combine the two. Two become one.”
Feeling a numbness in his scalp, Schultz coughed dryly and quickly ended the topic: "...well, maybe you are so fast that I don't notice."
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
Without saying anything more on this issue, Lu Zhou looked at the whiteboard in front of him.
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
Often when he tries one of the possible ideas, Lu Zhou can basically come up with a positive conclusion on the outcome of the proposition.
Office of the School of Mathematics, Jinling University.
"From this, according to our 'Fold method', we can directly deduce Cq(D,k)={(f(x1),···,f(xn))∈Fnq|f(x)∈Fq[x ], degf(x)≤k-1}... is established. By directly substituting this result into Corollary 4, we can establish a sufficiently close relationship between H(v) and the irreducible motive.”
Lu Zhou looked at Perelman: "What about you?"
Office of the School of Mathematics, Jinling University.
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
Why don't you just take your mother over
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Because without this outstanding brain and this moment of inspiration, some problems may never be solved, and this darkness will continue to last for a long, long time.
Nodding in agreement, Faltins continued.
Often when he tries one of the possible ideas, Lu Zhou can basically come up with a positive conclusion on the outcome of the proposition.
Of course, Lu Zhou just thought about this sentence for a while but did not bring it up in the end.
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
“Incredible…”
Lu Zhou nodded and said in agreement.
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Faltins also nodded.
However, all of these combined may not be as intuitive as the current shock.
But even so, he was still deeply shocked when he saw Lu Zhou's incredible computing power.
This Holy Grail, which has stood for thousands of years, is right in front of them!
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
“…I propose a Princeton solution.”
However, all of these combined may not be as intuitive as the current shock.
Perelman watched the conversation between the two without knowing what was going on. Schultz seemed to understand, so he didn't speak. Chen Yang hesitated for a moment, and with the attitude of asking if he didn't understand, he asked out the confusion in his heart.
Moreover, he suddenly thought of his parents.
People in the office looked at me and I looked at you, but no one spoke for a while.
Perelman watched the conversation between the two without knowing what was going on. Schultz seemed to understand, so he didn't speak. Chen Yang hesitated for a moment, and with the attitude of asking if he didn't understand, he asked out the confusion in his heart.
During this month of working in the research group, often when he and Perelman were still discussing the solution of a complex proposition, this guy would already list three possible ideas on the whiteboard and match them one by one. It tried.
To solve it, what is needed is not a group of excellent brains, but a certain outstanding brain and a moment of inspiration.
Just like his father and mother are still unwilling to leave their hometown and move to Jinling, the feeling of being unable to leave their homeland is the same for anyone of age.
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
Almost at the same time as Lu Zhou, Faltings looked away from the whiteboard and looked at each other before speaking.
Moreover, he suddenly thought of his parents.
Without saying anything more on this issue, Lu Zhou looked at the whiteboard in front of him.
And the light of this moment will not only break through the temporary darkness, but will even change the history of science and even the course of history, illuminating a certain period of human civilization.
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
Lu Zhou: "...Thank you for the compliment. If there is such a chip, I will definitely give you one."
During this month of working in the research group, often when he and Perelman were still discussing the solution of a complex proposition, this guy would already list three possible ideas on the whiteboard and match them one by one. It tried.
This has almost refreshed his understanding of algebraic geometry...
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
"...No," finally breaking the confused silence, Schulz shook his head and said with a helpless expression, "The proof of this conjecture was basically completed by you alone. No one is better than you." Qualifications determine where it is published... even if I prefer Mathematical Inventions."
"It seems you noticed it too."
Perelman didn't think too much and said without hesitation: "I told my mother that I would go back after solving this problem. Anyway, I have no other job, so I will stay here for the time being."
Often when he tries one of the possible ideas, Lu Zhou can basically come up with a positive conclusion on the outcome of the proposition.
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
Lu Zhou looked at Perelman: "What about you?"
Lu Zhou replied of course: "Not all problems need to be solved with scratch paper. Some vague problems can be solved by mathematical intuition. As for abstract problems, conceived in the mind will have unexpected effects... Of course, most of them Under the circumstances, I would still calculate it in writing on the scratch paper, but maybe you didn’t notice it.”
People in the office looked at me and I looked at you, but no one spoke for a while.
It takes one week to complete the proof of a mathematical conjecture.
This Holy Grail, which has stood for thousands of years, is right in front of them!
Standing in front of a whiteboard filled with writing on all sides, Schultz's face was filled with an expression of disbelief.
"... I plan to publish this proof of the Beilinson-Bloch conjecture in Mathematics Future. Do you have any comments?"
"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 discussions on a weekly or monthly basis to exchange opinions. The remaining The time... is still conducted in the form of independent research.”
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
"It just so happens that I have some things to deal with when I return to the Max Planck Institute. In the middle of next month... forget it, let's let it be the end of the month. By then I will come here again to hold this discussion meeting."
"...No," finally breaking the confused silence, Schulz shook his head and said with a helpless expression, "The proof of this conjecture was basically completed by you alone. No one is better than you." Qualifications determine where it is published... even if I prefer Mathematical Inventions."
“Incredible…”
"... Because your calculation speed has exceeded my understanding of mathematics," Schulz said with a complex expression, "Even some problems that in my opinion will take a while to solve... To be honest, you Don’t you need a draft?”
Because without this outstanding brain and this moment of inspiration, some problems may never be solved, and this darkness will continue to last for a long, long time.
Faltins also nodded.
"... Because your calculation speed has exceeded my understanding of mathematics," Schulz said with a complex expression, "Even some problems that in my opinion will take a while to solve... To be honest, you Don’t you need a draft?”
Lu Zhou nodded and brought the topic back on track.
Just as Lu Zhou said.
However, all of these combined may not be as intuitive as the current shock.
Lu Zhou nodded and said in agreement.
Perelman watched the conversation between the two without knowing what was going on. Schultz seemed to understand, so he didn't speak. Chen Yang hesitated for a moment, and with the attitude of asking if he didn't understand, he asked out the confusion in his heart.
Although it was a well-intentioned suggestion, it was a bit presumptuous to speak out about such a personal matter.
The reason why it is said that mathematics is the last stage of personal heroism in the field of scientific research lies precisely in this.
"I agree with him."
Even the students and assistants sitting in the office, watching from a distance...
"...According to the above, the Beilinson-Bloch conjecture is established, that is, rank(K2(E))=1+spl(E)."
After 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 a chip or something like that on the back of your head?"
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."
"The format of independent research + seminars," Schultz smiled and explained, "For outstanding minds, teamwork on groundbreaking issues will actually delay the efficiency of thinking."