Institute for Advanced Study in Princeton.
"End of the month?" Professor Sarnak frowned, "But there is only one week left before the end of the month. Although their strength is indeed very strong, and this phased result is close enough to the final proof, but..."
"Essence is nature. It's hard to describe what it is. What's more, even I need some time to digest it before I can organize it into words." At this point, Lu Zhou smiled and continued, "And I I’m sure the four of us will feel something different from it.”
"Still not," Lu Zhou smiled and said, "Although this proposal is very tempting, I prefer to finish everything and then slowly enjoy my leisure time... Let's end it quickly."
In this way, at Schultz's suggestion, the four people left their signatures on the whiteboard, and then stood in front of the whiteboard to take a group photo as a souvenir.
Perelman, who had been silent, suddenly said: "I can understand what you are saying... In fact, I feel the same way."
When he finally put down the paper in his hand, his face was filled with a shocked expression.
In Professor Fefferman's office.
Student C: "I... I just sent my phone to be repaired. What is it? Prehistoric ruins? Mars?"
"Essence... what is that?"
He couldn't wait to pick up his chopsticks. Just when Lu Zhou was about to start eating, he suddenly heard excited chatter from several students sitting next to him.
"Sorry, I'm late."
"Want to bet something?"
The morning of April 29th.
Schultz nodded.
Mochizuki Shinichi hesitated and said: "Signature? But doesn't it have to be erased in the end?"
Looking at Professor Fefferman sitting behind his desk, staring at the paper in his hand meticulously, Professor Sarnak, who came to visit, asked curiously.
Three hours of time.
It has been almost four weeks since the ISPM task force was established.
Professor Lu alone can rule out this possibility, not to mention that in addition to him, the LSPM research group also includes outstanding young mathematicians like Schultz, as well as Perelman and Mochizuki Shin. Such a great person.
Student C: "I... I just sent my phone to be repaired. What is it? Prehistoric ruins? Mars?"
When he finally put down the paper in his hand, his face was filled with a shocked expression.
Looking at the last line of the last whiteboard, Mochizuki Shinichi's face was filled with an expression of disbelief.
How awesome is this weak form
"What are you looking at?"
"What are you looking at?"
It happened to be the peak time for classes to end, and the cafeteria was full of students who had just finished class. It was so crowded that it was almost impossible to find a place to stay.
Upon hearing this, Professor Sarnak was slightly stunned, and then an embarrassed smile appeared on his face.
The paper in his hand turned to a page, and Professor Fefferman replied casually without looking up.
Institute for Advanced Study in Princeton.
Looking at the last line of the last whiteboard, Mochizuki Shinichi's face was filled with an expression of disbelief.
After looking at the clock on the wall next to him, Lu Zhou suggested and said with a smile.
Without stopping for a moment, Professor Sarnak immediately walked to the printer after hearing these words, and operated the printer himself to type out a paper.
Student A: "That prehistoric ruin on Mars! You don't even know about such a big thing. Did the Internet just come online?!"
After finishing these things, Lu Zhou left the library and went to the cafeteria.
Without stopping for a moment, Professor Sarnak immediately walked to the printer after hearing these words, and operated the printer himself to type out a paper.
Student B: "Look at it! It's so awesome!!!"
"Phase results of LSPM."
Student B: "Look at it! It's so awesome!!!"
"Phase results of LSPM."
"The phased results of LSPM?" Professor Sarnak was slightly startled at first, and then his whole body seemed to be struck by lightning, with a shocked expression on his face, "So fast?! What step have they achieved?"
"End of the month?" Professor Sarnak frowned, "But there is only one week left before the end of the month. Although their strength is indeed very strong, and this phased result is close enough to the final proof, but..."
Already completely immersed in the amazing argument, Fefferman had no time to talk to him at this moment and said casually.
"What are you looking at?"
The morning of April 29th.
Professor Sarnak coughed dryly.
When he finally put down the paper in his hand, his face was filled with a shocked expression.
"It's getting late, let's go have a meal first."
"makes sense… "
Already completely immersed in the amazing argument, Fefferman had no time to talk to him at this moment and said casually.
Damn it? !
"What's even more unimaginable is that they would actually choose to upload such important phased results." Professor Sanak couldn't help but said while looking at the content of the paper.
In other words, if the weak form of the ABC conjecture had been born 20 or 30 years earlier, Wiles would probably have nothing to do with it.
The retreat ended on the 28th, or to be more specific, it was three o'clock yesterday afternoon.
"The printer is right next to it. You can print a copy and see if you can."
From this point of view, my worries seem to be purely unnecessary.
"The printer is right next to it. You can print a copy and see if you can."
Looking at the last line of the last whiteboard, Mochizuki Shinichi's face was filled with an expression of disbelief.
"Want to bet something?"
"End of the month?" Professor Sarnak frowned, "But there is only one week left before the end of the month. Although their strength is indeed very strong, and this phased result is close enough to the final proof, but..."
Optimistically, he plans to complete the work before heading to Mars.
Already completely immersed in the amazing argument, Fefferman had no time to talk to him at this moment and said casually.
Looking at the last line of the last whiteboard, Mochizuki Shinichi's face was filled with an expression of disbelief.
"It's nothing." Regarding Professor Sarnak's statement, Professor Fefferman smiled noncommittally. "Even if there is only one final step left from this weak form to the proof of the ABC conjecture, do you think anyone can compare with them?" Kick the ball in faster?"
"I am looking forward to it more and more now," Professor Fefferman said with a smile. "My intuition tells me that we will be able to give a final answer to the ABC conjecture by the end of this month at the latest."
Without stopping for a moment, Professor Sarnak immediately walked to the printer after hearing these words, and operated the printer himself to type out a paper.
Student A: "That prehistoric ruin on Mars! You don't even know about such a big thing. Did the Internet just come online?!"
The paper in his hand turned to a page, and Professor Fefferman replied casually without looking up.
"makes sense… "
"End of the month?" Professor Sarnak frowned, "But there is only one week left before the end of the month. Although their strength is indeed very strong, and this phased result is close enough to the final proof, but..."
"The printer is right next to it. You can print a copy and see if you can."
Holding the paper, which still had the warm fragrance of ink, Sanak stared at it and spent about an hour quickly scanning the paper.
Already completely immersed in the amazing argument, Fefferman had no time to talk to him at this moment and said casually.
The fragmentary clues are like pieces of a puzzle that have been scattered. When they are put back together, all the clues are connected together.
Upon hearing this, Professor Sarnak was slightly stunned, and then an embarrassed smile appeared on his face.
“This is a good thing,” Lu Zhou said with a smile as he looked at the whiteboard that covered almost the entire wall of the activity room. “It means that we have touched something closer to the essence than the ABC conjecture itself. "
This shouldn't take too long, though.
“Incredible…”
When he finally put down the paper in his hand, his face was filled with a shocked expression.
In this way, at Schultz's suggestion, the four people left their signatures on the whiteboard, and then stood in front of the whiteboard to take a group photo as a souvenir.
Institute for Advanced Study in Princeton.
“Incredible…”
Schultz nodded.
When Lu Zhou arrived here, his three teammates had been waiting here for a long time.
"It's okay, we were just guessing whether you would get up in the afternoon, but we didn't expect you to be only an hour late..." Schulz smiled nonchalantly and joked, "Seriously, if you don't Go back and sleep for a while? You haven't had much rest these days. Anyway, there is only the last step of our work left. It can be completed one day later and one day earlier."
Mochi Yuexin nodded.
Already completely immersed in the amazing argument, Fefferman had no time to talk to him at this moment and said casually.
Although Perelman was not very interested in such meaningless things, he had no other opinions.
Although Perelman was not very interested in such meaningless things, he had no other opinions.
Mochi Yuexin nodded.
"This is the equivalent of—"
"The phased results of LSPM?" Professor Sarnak was slightly startled at first, and then his whole body seemed to be struck by lightning, with a shocked expression on his face, "So fast?! What step have they achieved?"
"Wait a minute," Schultz raised his hand and suggested with a smile, "This is an ABC guess. To commemorate this great and glorious moment, I suggest that we leave a signature on it together!"
"It's vague... but it's there."
"Essence is nature. It's hard to describe what it is. What's more, even I need some time to digest it before I can organize it into words." At this point, Lu Zhou smiled and continued, "And I I’m sure the four of us will feel something different from it.”
Looking at Professor Fefferman sitting behind his desk, staring at the paper in his hand meticulously, Professor Sarnak, who came to visit, asked curiously.
"A new mathematical language," Professor Fefferman, who had also read the paper, took a sip of cold tea and added, "Although it is a simple version, it is sufficient to describe the ABC conjecture. The person who came up with this idea is a genius, and the person who implemented it is a devil. It is really unimaginable that such amazing results were achieved in two weeks."
"Want to bet something?"
Schultz: "It's surprising how everything went so well?"
Perelman, who had been silent, suddenly said: "I can understand what you are saying... In fact, I feel the same way."
…
"It's nothing." Regarding Professor Sarnak's statement, Professor Fefferman smiled noncommittally. "Even if there is only one final step left from this weak form to the proof of the ABC conjecture, do you think anyone can compare with them?" Kick the ball in faster?"
"What's even more unimaginable is that they would actually choose to upload such important phased results." Professor Sanak couldn't help but said while looking at the content of the paper.
When I come back from dinner, I can organize and publish these things on the whiteboard, which will almost bring this collaboration to an end.
Although Perelman was not very interested in such meaningless things, he had no other opinions.
It happened to be the peak time for classes to end, and the cafeteria was full of students who had just finished class. It was so crowded that it was almost impossible to find a place to stay.
“Incredible…”
After working all morning, my stomach had already begun to growl.
The results of this paper are very close to the final proposition of the ABC conjecture. They have refined Baker's theorem to conclude [d6 The positive integer solution leads to the establishment of Fermat’s last theorem!
Everyone reported their research progress in turn and wrote down the section they were responsible for on the whiteboard.
"I am looking forward to it more and more now," Professor Fefferman said with a smile. "My intuition tells me that we will be able to give a final answer to the ABC conjecture by the end of this month at the latest."
"makes sense… "
"That's not necessarily true," Lu Zhou said with a smile, "I'm sure our dean would be very happy to keep them intact."
It has been almost four weeks since the ISPM task force was established.
"Is such that."
It happened to be the peak time for classes to end, and the cafeteria was full of students who had just finished class. It was so crowded that it was almost impossible to find a place to stay.
The fragmentary clues are like pieces of a puzzle that have been scattered. When they are put back together, all the clues are connected together.
Schultz: "It's surprising how everything went so well?"
"makes sense… "
The morning of April 29th.
He definitely couldn't find his "special seat" in the corner of the cafeteria, but Lu Zhou wasn't the kind of picky person. After queuing up to eat, he casually found an empty seat and sat down.
Three hours of time.
How awesome is this weak form
After looking at the clock on the wall next to him, Lu Zhou suggested and said with a smile.
From this point of view, my worries seem to be purely unnecessary.
Looking at the last line of the last whiteboard, Mochizuki Shinichi's face was filled with an expression of disbelief.
"What are you looking at?"
In this way, at Schultz's suggestion, the four people left their signatures on the whiteboard, and then stood in front of the whiteboard to take a group photo as a souvenir.
…
If you want to get the answer before these four people, the difficulty will not be easier than proving the ABC conjecture again from scratch, or even worse.
It happened to be the peak time for classes to end, and the cafeteria was full of students who had just finished class. It was so crowded that it was almost impossible to find a place to stay.
It is precisely because of this that, in Sanak's view, this staged result is almost only a layer of window paper away from the final answer. As long as it is broken, the proof of the ABC conjecture is right in front of you!
"I originally thought that such a lot of processes would take at least a few days to get used to, but I didn't expect..."
Everyone reported their research progress in turn and wrote down the section they were responsible for on the whiteboard.
Schultz: "It's surprising how everything went so well?"
Schultz: "It's surprising how everything went so well?"
"This... let's forget it."
Holding the paper, which still had the warm fragrance of ink, Sanak stared at it and spent about an hour quickly scanning the paper.
Mochi Yuexin nodded.
Student B: "Look at it! It's so awesome!!!"
Already completely immersed in the amazing argument, Fefferman had no time to talk to him at this moment and said casually.
Holding the paper, which still had the warm fragrance of ink, Sanak stared at it and spent about an hour quickly scanning the paper.
That is, if a+b=c, gcd(a,b)=1, then max(|a|, |b|, |c|) ≤ (rad(abc))^2.
"Still not," Lu Zhou smiled and said, "Although this proposal is very tempting, I prefer to finish everything and then slowly enjoy my leisure time... Let's end it quickly."
The results of this paper are very close to the final proposition of the ABC conjecture. They have refined Baker's theorem to conclude [d