In early April, something big happened in the world of mathematics.
However, what surprised Sarnak was that this topic was only officially launched at the end of last year, and it has not even been a year until now.
Sanak raised his eyebrows: "About the NS equation?"
A paper published in the latest issue of "Annals of Mathematics" announced the solution to the Kakutani conjecture.
A paper published in the latest issue of "Annals of Mathematics" announced the solution to the Kakutani conjecture.
"As usual, the report will be given by the person who completed the main paper. I will recommend Vera as the speaker to the International Union of Mathematicians. What are your opinions?"
Prior to this, some people had used supercomputers to test natural numbers below 1.1 trillion, and determined that no matter how much the numbers expanded during the period, they would eventually be unable to escape the curse of "421".
The so-called Kakutani conjecture is to write a natural number N arbitrarily. If it is an odd number, the next step becomes 3N+1. If it is an even number, the next step becomes N/2. After a limited number of cycles, it will inevitably fall to the bottom of [4, 2, 1].
However, just in time for the quadrennial International Congress of Mathematicians in August, this report will be handled by the more authoritative International Union of Mathematicians.
What surprised the outside world was not only the proof of Kakutani’s conjecture, but also the fact that the main person who completed this paper was Lu Zhou’s student.
This digital game was very popular in North America in the 1980s.
However, Lu Zhou's answer was beyond his expectation.
Sanak raised his eyebrows: "About the NS equation?"
A paper published in the latest issue of "Annals of Mathematics" announced the solution to the Kakutani conjecture.
Normally, Princeton should arrange a report meeting for Vera and others to report relevant research results and answer questions from scholars in the same field.
Professor Sanak frowned slightly, and then reacted immediately.
Although he didn't have a deep understanding of what other Slavs were like, based on the impressions he got in various movies, he couldn't match the words timid and shy with the word Maozi.
Prior to this, some people had used supercomputers to test natural numbers below 1.1 trillion, and determined that no matter how much the numbers expanded during the period, they would eventually be unable to escape the curse of "421".
"It's nothing. It's my first time to participate, or even my first time to Brazil. I'm afraid I'll have to ask Hadi to be my guide." Lu Zhou smiled and said in an encouraging tone, "Your report at Berkeley Wouldn't you do a great job? I remember that you also got the certificate for the best youth speaker. You just need to remember to perform normally on the stage. "
At least not in Sanak's mind.
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
Now, the paper by Vera et al. uses mathematical language to give a definite proof of this proposition—
Because of this magical property, this conjecture is also called the "hail conjecture", because the numbers fall as fast and unstoppable as hail.
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
Professor Sanak frowned slightly, and then reacted immediately.
According to convention, the proof of such a major mathematical conjecture is often not completed in one paper. In addition to recognition from authoritative journals, the prover also needs to be recognized by the entire mathematical community.
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Now, the paper by Vera et al. uses mathematical language to give a definite proof of this proposition—
Normally, Princeton should arrange a report meeting for Vera and others to report relevant research results and answer questions from scholars in the same field.
"After today, I will continue to retreat. In this report meeting, the only one you can rely on is yourself."
That is, the Kakutani conjecture is established.
Lu Zhou smiled and nodded: "Exactly, in my opinion, it is the key to solving the NS equation."
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
Once this paper was published, it received widespread attention.
Hearing this affirmative answer, Professor Sanak was filled with emotion.
She glanced at Lu Zhou in embarrassment, and Vera's voice became stammering due to nervousness: "But I have never given a report at an IMU conference... I have never even participated in it."
After bidding farewell to Professor Sanak, Lu Zhou took the invitation letter from the IMU conference and went to the office of the Institute for Advanced Study, where he summoned three of his doctoral students for an internal meeting.
What surprised the outside world was not only the proof of Kakutani’s conjecture, but also the fact that the main person who completed this paper was Lu Zhou’s student.
It is rare for someone to receive two invitations to the same International Congress of Mathematicians at the same time.
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
The so-called Kakutani conjecture is to write a natural number N arbitrarily. If it is an odd number, the next step becomes 3N+1. If it is an even number, the next step becomes N/2. After a limited number of cycles, it will inevitably fall to the bottom of [4, 2, 1].
In early April, something big happened in the world of mathematics.
Professor Sanak frowned slightly, and then reacted immediately.
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
Lu Zhou smiled and continued to answer the question in a relaxed tone.
She glanced at Lu Zhou in embarrassment, and Vera's voice became stammering due to nervousness: "But I have never given a report at an IMU conference... I have never even participated in it."
According to convention, the proof of such a major mathematical conjecture is often not completed in one paper. In addition to recognition from authoritative journals, the prover also needs to be recognized by the entire mathematical community.
Qin Yue: "Agree!"
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
Professor Sanak frowned slightly, and then reacted immediately.
"When a tool is completed, it is only a matter of time before it fulfills its mission. I have a hunch, and you should know this feeling."
"It's nothing. It's my first time to participate, or even my first time to Brazil. I'm afraid I'll have to ask Hadi to be my guide." Lu Zhou smiled and said in an encouraging tone, "Your report at Berkeley Wouldn't you do a great job? I remember that you also got the certificate for the best youth speaker. You just need to remember to perform normally on the stage. "
Prior to this, some people had used supercomputers to test natural numbers below 1.1 trillion, and determined that no matter how much the numbers expanded during the period, they would eventually be unable to escape the curse of "421".
Normally, Princeton should arrange a report meeting for Vera and others to report relevant research results and answer questions from scholars in the same field.
After hearing this unexpected answer, Professor Sarnak showed a surprised expression on his face: "Are you so confident that you can solve it before August? Isn't the time too short?"
This digital game was very popular in North America in the 1980s.
However, just in time for the quadrennial International Congress of Mathematicians in August, this report will be handled by the more authoritative International Union of Mathematicians.
It is rare for someone to receive two invitations to the same International Congress of Mathematicians at the same time.
The so-called Kakutani conjecture is to write a natural number N arbitrarily. If it is an odd number, the next step becomes 3N+1. If it is an even number, the next step becomes N/2. After a limited number of cycles, it will inevitably fall to the bottom of [4, 2, 1].
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
Now it seems that his original decision was really a far-sighted thing...
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
Hardy: "Second!"
Just the second week after the paper was published, Professor Peter Sarnak, a tenured professor at Princeton and editor-in-chief of the Annals of Mathematics, found Lu Zhou and brought an invitation letter from the International Union of Mathematicians.
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
"As usual, the report will be given by the person who completed the main paper. I will recommend Vera as the speaker to the International Union of Mathematicians. What are your opinions?"
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"
It is rare for someone to receive two invitations to the same International Congress of Mathematicians at the same time.
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
Now it seems that his original decision was really a far-sighted thing...
At least not in Sanak's mind.
According to convention, the proof of such a major mathematical conjecture is often not completed in one paper. In addition to recognition from authoritative journals, the prover also needs to be recognized by the entire mathematical community.
But in the end, he decided to accept Lu Zhou's manuscript and arranged for it to enter the peer review process.
"...Professor Viana, chairman of the IMU Conference Organizing Committee, sent me an email, hoping that I would forward this written letter to you. The proof of a major mathematical conjecture like the Kakutani Conjecture should be known to more people. It is a rare opportunity , the International Congress of Mathematicians is coming soon, and they have specially arranged a forty-five-minute report for you, do you have time here?"
The vote passed overwhelmingly.
The "NS" research group has officially applied for a project at the Institute for Advanced Study. The cooperation between Professor Lu Zhou and Professor Fefferman is not a secret at Princeton.
That is, the Kakutani conjecture is established.
What surprised the outside world was not only the proof of Kakutani’s conjecture, but also the fact that the main person who completed this paper was Lu Zhou’s student.
At least not in Sanak's mind.
…
After hearing Lu Zhou's encouragement, Vera became a little calmer, but the nervous expression on her face still did not completely relax.
Now it seems that his original decision was really a far-sighted thing...
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
A paper published in the latest issue of "Annals of Mathematics" announced the solution to the Kakutani conjecture.
Once this paper was published, it received widespread attention.
Qin Yue: "Agree!"
"In my hand is an invitation letter regarding a forty-five-minute report at the International Congress of Mathematicians. Although the organizers of the conference invited me to give a related report, I feel that you need this opportunity more than me."
The "NS" research group has officially applied for a project at the Institute for Advanced Study. The cooperation between Professor Lu Zhou and Professor Fefferman is not a secret at Princeton.
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
Sanak raised his eyebrows: "About the NS equation?"
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
The "NS" research group has officially applied for a project at the Institute for Advanced Study. The cooperation between Professor Lu Zhou and Professor Fefferman is not a secret at Princeton.
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
According to convention, the proof of such a major mathematical conjecture is often not completed in one paper. In addition to recognition from authoritative journals, the prover also needs to be recognized by the entire mathematical community.
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
"As usual, the report will be given by the person who completed the main paper. I will recommend Vera as the speaker to the International Union of Mathematicians. What are your opinions?"
The "NS" research group has officially applied for a project at the Institute for Advanced Study. The cooperation between Professor Lu Zhou and Professor Fefferman is not a secret at Princeton.
Qin Yue: "Agree!"
"When a tool is completed, it is only a matter of time before it fulfills its mission. I have a hunch, and you should know this feeling."
However, what surprised Sarnak was that this topic was only officially launched at the end of last year, and it has not even been a year until now.
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"
"...Professor Viana, chairman of the IMU Conference Organizing Committee, sent me an email, hoping that I would forward this written letter to you. The proof of a major mathematical conjecture like the Kakutani Conjecture should be known to more people. It is a rare opportunity , the International Congress of Mathematicians is coming soon, and they have specially arranged a forty-five-minute report for you, do you have time here?"
It is rare for someone to receive two invitations to the same International Congress of Mathematicians at the same time.
However, what surprised Sarnak was that this topic was only officially launched at the end of last year, and it has not even been a year until now.
After bidding farewell to Professor Sanak, Lu Zhou took the invitation letter from the IMU conference and went to the office of the Institute for Advanced Study, where he summoned three of his doctoral students for an internal meeting.
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
"It's nothing. It's my first time to participate, or even my first time to Brazil. I'm afraid I'll have to ask Hadi to be my guide." Lu Zhou smiled and said in an encouraging tone, "Your report at Berkeley Wouldn't you do a great job? I remember that you also got the certificate for the best youth speaker. You just need to remember to perform normally on the stage. "
Hardy grinned and said: "You don't have to be humble. You completed the main part of the paper, so this report should naturally be yours."
Obviously, he didn't think Lu Zhou and Fefferman could complete the proof of the Millennium Problem in such a short time.
This digital game was very popular in North America in the 1980s.
But in the end, he decided to accept Lu Zhou's manuscript and arranged for it to enter the peer review process.
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
Lu Zhou shook his head: "I'm afraid it won't work this time."
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"
However, Lu Zhou's answer was beyond his expectation.
Because of this magical property, this conjecture is also called the "hail conjecture", because the numbers fall as fast and unstoppable as hail.
Qin Yue: "Agree!"
Lu Zhou nodded: "Yes."
Seeing that she was betrayed by two teammates in an instant, Vera suddenly became anxious: "Wait a minute, I..."
Seeing the slightly disappointed expression on Vera's face, Lu Zhou paused for a moment and continued.
After hearing this unexpected answer, Professor Sarnak showed a surprised expression on his face: "Are you so confident that you can solve it before August? Isn't the time too short?"
Hearing this affirmative answer, Professor Sanak was filled with emotion.
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Qin Yue: "Agree!"
Lu Zhou smiled and continued to answer the question in a relaxed tone.
Seeing the slightly disappointed expression on Vera's face, Lu Zhou paused for a moment and continued.
A paper published in the latest issue of "Annals of Mathematics" announced the solution to the Kakutani conjecture.
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
After hearing Lu Zhou's encouragement, Vera became a little calmer, but the nervous expression on her face still did not completely relax.
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
"When a tool is completed, it is only a matter of time before it fulfills its mission. I have a hunch, and you should know this feeling."
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
That is, the Kakutani conjecture is established.
Although there is no doubt about the novelty of this special differential manifold, many academic editors cannot see the significance or use of this thing.
Professor Sanak frowned slightly, and then reacted immediately.
Now, the paper by Vera et al. uses mathematical language to give a definite proof of this proposition—
Sarnak could not see it either, even though he was not completely ignorant of the field of partial differentials.
However, Lu Zhou's answer was beyond his expectation.
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"
It is rare for someone to receive two invitations to the same International Congress of Mathematicians at the same time.
After bidding farewell to Professor Sanak, Lu Zhou took the invitation letter from the IMU conference and went to the office of the Institute for Advanced Study, where he summoned three of his doctoral students for an internal meeting.
Now it seems that his original decision was really a far-sighted thing...
Although there is no doubt about the novelty of this special differential manifold, many academic editors cannot see the significance or use of this thing.
Seeing that she was betrayed by two teammates in an instant, Vera suddenly became anxious: "Wait a minute, I..."
Obviously, he didn't think Lu Zhou and Fefferman could complete the proof of the Millennium Problem in such a short time.
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
Lu Zhou smiled and nodded: "Exactly, in my opinion, it is the key to solving the NS equation."
Hearing this affirmative answer, Professor Sanak was filled with emotion.
However, Lu Zhou's answer was beyond his expectation.
Although there is no doubt about the novelty of this special differential manifold, many academic editors cannot see the significance or use of this thing.
Normally, Princeton should arrange a report meeting for Vera and others to report relevant research results and answer questions from scholars in the same field.
Hearing this affirmative answer, Professor Sanak was filled with emotion.
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
According to convention, the proof of such a major mathematical conjecture is often not completed in one paper. In addition to recognition from authoritative journals, the prover also needs to be recognized by the entire mathematical community.
A paper published in the latest issue of "Annals of Mathematics" announced the solution to the Kakutani conjecture.
Obviously, he didn't think Lu Zhou and Fefferman could complete the proof of the Millennium Problem in such a short time.
That is, the Kakutani conjecture is established.
Just the second week after the paper was published, Professor Peter Sarnak, a tenured professor at Princeton and editor-in-chief of the Annals of Mathematics, found Lu Zhou and brought an invitation letter from the International Union of Mathematicians.
Hardy: "Second!"
He had heard of that paper before, because it caused quite a controversy in the editorial board of the Annals of Mathematics.
Hardy grinned and said: "You don't have to be humble. You completed the main part of the paper, so this report should naturally be yours."
Now it seems that his original decision was really a far-sighted thing...
"...Professor Viana, chairman of the IMU Conference Organizing Committee, sent me an email, hoping that I would forward this written letter to you. The proof of a major mathematical conjecture like the Kakutani Conjecture should be known to more people. It is a rare opportunity , the International Congress of Mathematicians is coming soon, and they have specially arranged a forty-five-minute report for you, do you have time here?"
Although there is no doubt about the novelty of this special differential manifold, many academic editors cannot see the significance or use of this thing.
Lu Zhou smiled and continued to answer the question in a relaxed tone.
Hardy grinned and said: "You don't have to be humble. You completed the main part of the paper, so this report should naturally be yours."
Although there is no doubt about the novelty of this special differential manifold, many academic editors cannot see the significance or use of this thing.
Sarnak could not see it either, even though he was not completely ignorant of the field of partial differentials.
Lu Zhou shook his head: "I'm afraid it won't work this time."
According to convention, the proof of such a major mathematical conjecture is often not completed in one paper. In addition to recognition from authoritative journals, the prover also needs to be recognized by the entire mathematical community.
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
But in the end, he decided to accept Lu Zhou's manuscript and arranged for it to enter the peer review process.
Lu Zhou smiled and nodded: "Exactly, in my opinion, it is the key to solving the NS equation."
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Just the second week after the paper was published, Professor Peter Sarnak, a tenured professor at Princeton and editor-in-chief of the Annals of Mathematics, found Lu Zhou and brought an invitation letter from the International Union of Mathematicians.
Now it seems that his original decision was really a far-sighted thing...
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
Hearing this affirmative answer, Professor Sanak was filled with emotion.
Just the second week after the paper was published, Professor Peter Sarnak, a tenured professor at Princeton and editor-in-chief of the Annals of Mathematics, found Lu Zhou and brought an invitation letter from the International Union of Mathematicians.
She glanced at Lu Zhou in embarrassment, and Vera's voice became stammering due to nervousness: "But I have never given a report at an IMU conference... I have never even participated in it."
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
…
Seeing that she was betrayed by two teammates in an instant, Vera suddenly became anxious: "Wait a minute, I..."
Hardy: "Second!"
She glanced at Lu Zhou in embarrassment, and Vera's voice became stammering due to nervousness: "But I have never given a report at an IMU conference... I have never even participated in it."
A paper published in the latest issue of "Annals of Mathematics" announced the solution to the Kakutani conjecture.
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"
After bidding farewell to Professor Sanak, Lu Zhou took the invitation letter from the IMU conference and went to the office of the Institute for Advanced Study, where he summoned three of his doctoral students for an internal meeting.
Sanak raised his eyebrows: "About the NS equation?"
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
Seeing that she was betrayed by two teammates in an instant, Vera suddenly became anxious: "Wait a minute, I..."
Normally, Princeton should arrange a report meeting for Vera and others to report relevant research results and answer questions from scholars in the same field.
At least not in Sanak's mind.
But in the end, he decided to accept Lu Zhou's manuscript and arranged for it to enter the peer review process.
After hearing Lu Zhou's encouragement, Vera became a little calmer, but the nervous expression on her face still did not completely relax.
"In my hand is an invitation letter regarding a forty-five-minute report at the International Congress of Mathematicians. Although the organizers of the conference invited me to give a related report, I feel that you need this opportunity more than me."
Hardy: "Second!"
The so-called Kakutani conjecture is to write a natural number N arbitrarily. If it is an odd number, the next step becomes 3N+1. If it is an even number, the next step becomes N/2. After a limited number of cycles, it will inevitably fall to the bottom of [4, 2, 1].
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
Prior to this, some people had used supercomputers to test natural numbers below 1.1 trillion, and determined that no matter how much the numbers expanded during the period, they would eventually be unable to escape the curse of "421".
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Once this paper was published, it received widespread attention.
After hearing Lu Zhou's encouragement, Vera became a little calmer, but the nervous expression on her face still did not completely relax.
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
"As usual, the report will be given by the person who completed the main paper. I will recommend Vera as the speaker to the International Union of Mathematicians. What are your opinions?"
"It's nothing. It's my first time to participate, or even my first time to Brazil. I'm afraid I'll have to ask Hadi to be my guide." Lu Zhou smiled and said in an encouraging tone, "Your report at Berkeley Wouldn't you do a great job? I remember that you also got the certificate for the best youth speaker. You just need to remember to perform normally on the stage. "
However, Lu Zhou's answer was beyond his expectation.
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
Qin Yue: "Agree!"
Once this paper was published, it received widespread attention.
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
Hardy: "Second!"
"After today, I will continue to retreat. In this report meeting, the only one you can rely on is yourself."
Now, the paper by Vera et al. uses mathematical language to give a definite proof of this proposition—
"...Professor Viana, chairman of the IMU Conference Organizing Committee, sent me an email, hoping that I would forward this written letter to you. The proof of a major mathematical conjecture like the Kakutani Conjecture should be known to more people. It is a rare opportunity , the International Congress of Mathematicians is coming soon, and they have specially arranged a forty-five-minute report for you, do you have time here?"
Lu Zhou shook his head: "I'm afraid it won't work this time."
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
Although there is no doubt about the novelty of this special differential manifold, many academic editors cannot see the significance or use of this thing.
However, just in time for the quadrennial International Congress of Mathematicians in August, this report will be handled by the more authoritative International Union of Mathematicians.
Qin Yue: "Agree!"
The vote passed overwhelmingly.
"After today, I will continue to retreat. In this report meeting, the only one you can rely on is yourself."
Prior to this, some people had used supercomputers to test natural numbers below 1.1 trillion, and determined that no matter how much the numbers expanded during the period, they would eventually be unable to escape the curse of "421".
Hearing this affirmative answer, Professor Sanak was filled with emotion.
…
Looking at the two students raising their hands, Lu Zhou nodded and said happily: "It seems we have reached a consensus."
Seeing the slightly disappointed expression on Vera's face, Lu Zhou paused for a moment and continued.
The vote passed overwhelmingly.
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
It is rare for someone to receive two invitations to the same International Congress of Mathematicians at the same time.
Seeing that she was betrayed by two teammates in an instant, Vera suddenly became anxious: "Wait a minute, I..."
At least not in Sanak's mind.
Because of this magical property, this conjecture is also called the "hail conjecture", because the numbers fall as fast and unstoppable as hail.
"It's nothing. It's my first time to participate, or even my first time to Brazil. I'm afraid I'll have to ask Hadi to be my guide." Lu Zhou smiled and said in an encouraging tone, "Your report at Berkeley Wouldn't you do a great job? I remember that you also got the certificate for the best youth speaker. You just need to remember to perform normally on the stage. "
However, what surprised Sarnak was that this topic was only officially launched at the end of last year, and it has not even been a year until now.
Hardy grinned and said: "You don't have to be humble. You completed the main part of the paper, so this report should naturally be yours."
Seeing that she was betrayed by two teammates in an instant, Vera suddenly became anxious: "Wait a minute, I..."
But in the end, he decided to accept Lu Zhou's manuscript and arranged for it to enter the peer review process.
Hardy: "Second!"
Just the second week after the paper was published, Professor Peter Sarnak, a tenured professor at Princeton and editor-in-chief of the Annals of Mathematics, found Lu Zhou and brought an invitation letter from the International Union of Mathematicians.
She glanced at Lu Zhou in embarrassment, and Vera's voice became stammering due to nervousness: "But I have never given a report at an IMU conference... I have never even participated in it."
"It's nothing. It's my first time to participate, or even my first time to Brazil. I'm afraid I'll have to ask Hadi to be my guide." Lu Zhou smiled and said in an encouraging tone, "Your report at Berkeley Wouldn't you do a great job? I remember that you also got the certificate for the best youth speaker. You just need to remember to perform normally on the stage. "
Qin Yue: "Agree!"
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
According to convention, the proof of such a major mathematical conjecture is often not completed in one paper. In addition to recognition from authoritative journals, the prover also needs to be recognized by the entire mathematical community.
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
"When a tool is completed, it is only a matter of time before it fulfills its mission. I have a hunch, and you should know this feeling."
"It's nothing. It's my first time to participate, or even my first time to Brazil. I'm afraid I'll have to ask Hadi to be my guide." Lu Zhou smiled and said in an encouraging tone, "Your report at Berkeley Wouldn't you do a great job? I remember that you also got the certificate for the best youth speaker. You just need to remember to perform normally on the stage. "
But in the end, he decided to accept Lu Zhou's manuscript and arranged for it to enter the peer review process.
Prior to this, some people had used supercomputers to test natural numbers below 1.1 trillion, and determined that no matter how much the numbers expanded during the period, they would eventually be unable to escape the curse of "421".
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Now, the paper by Vera et al. uses mathematical language to give a definite proof of this proposition—
After hearing this unexpected answer, Professor Sarnak showed a surprised expression on his face: "Are you so confident that you can solve it before August? Isn't the time too short?"
After hearing Lu Zhou's encouragement, Vera became a little calmer, but the nervous expression on her face still did not completely relax.
Looking at Professor Sarnak, Lu Zhou shook his head and said, "I already have a one-hour report meeting, and I'm very busy recently. I'm afraid I won't have time to prepare for the second report meeting."
After hearing Lu Zhou's encouragement, Vera became a little calmer, but the nervous expression on her face still did not completely relax.
The vote passed overwhelmingly.
Looking at Vera's anxious look, sometimes Lu Zhou couldn't help but wonder, was she really a Slav
Hearing this affirmative answer, Professor Sanak was filled with emotion.
But in the end, he decided to accept Lu Zhou's manuscript and arranged for it to enter the peer review process.
This digital game was very popular in North America in the 1980s.
The "NS" research group has officially applied for a project at the Institute for Advanced Study. The cooperation between Professor Lu Zhou and Professor Fefferman is not a secret at Princeton.
Although he didn't have a deep understanding of what other Slavs were like, based on the impressions he got in various movies, he couldn't match the words timid and shy with the word Maozi.
Obviously, he didn't think Lu Zhou and Fefferman could complete the proof of the Millennium Problem in such a short time.
"...Professor Viana, chairman of the IMU Conference Organizing Committee, sent me an email, hoping that I would forward this written letter to you. The proof of a major mathematical conjecture like the Kakutani Conjecture should be known to more people. It is a rare opportunity , the International Congress of Mathematicians is coming soon, and they have specially arranged a forty-five-minute report for you, do you have time here?"
It is rare for someone to receive two invitations to the same International Congress of Mathematicians at the same time.
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
Hearing this affirmative answer, Professor Sanak was filled with emotion.
Although there is no doubt about the novelty of this special differential manifold, many academic editors cannot see the significance or use of this thing.
"After today, I will continue to retreat. In this report meeting, the only one you can rely on is yourself."
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
After hearing this unexpected answer, Professor Sarnak showed a surprised expression on his face: "Are you so confident that you can solve it before August? Isn't the time too short?"
Just the second week after the paper was published, Professor Peter Sarnak, a tenured professor at Princeton and editor-in-chief of the Annals of Mathematics, found Lu Zhou and brought an invitation letter from the International Union of Mathematicians.
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Lu Zhou smiled and continued to answer the question in a relaxed tone.
Although he didn't have a deep understanding of what other Slavs were like, based on the impressions he got in various movies, he couldn't match the words timid and shy with the word Maozi.
Holding the hem of her clothes with her fingers, Vera asked softly: "Can you help me?"
After bidding farewell to Professor Sanak, Lu Zhou took the invitation letter from the IMU conference and went to the office of the Institute for Advanced Study, where he summoned three of his doctoral students for an internal meeting.
Lu Zhou shook his head: "I'm afraid it won't work this time."
After a pause, Lu Zhou continued: "In short, don't take it too seriously. Just treat it as an ordinary report meeting and prepare for it. What's more, you still have four months to prepare slowly."
However, just in time for the quadrennial International Congress of Mathematicians in August, this report will be handled by the more authoritative International Union of Mathematicians.
After a pause, Lu Zhou's eyes stayed on the faces of the three students for a while, and then he continued.
Because of this magical property, this conjecture is also called the "hail conjecture", because the numbers fall as fast and unstoppable as hail.
The so-called Kakutani conjecture is to write a natural number N arbitrarily. If it is an odd number, the next step becomes 3N+1. If it is an even number, the next step becomes N/2. After a limited number of cycles, it will inevitably fall to the bottom of [4, 2, 1].
What surprised the outside world was not only the proof of Kakutani’s conjecture, but also the fact that the main person who completed this paper was Lu Zhou’s student.
…
"After today, I will continue to retreat. In this report meeting, the only one you can rely on is yourself."
Seeing the slightly disappointed expression on Vera's face, Lu Zhou paused for a moment and continued.
…
Hearing this affirmative answer, Professor Sanak was filled with emotion.
Sarnak could not see it either, even though he was not completely ignorant of the field of partial differentials.
However, what surprised Sarnak was that this topic was only officially launched at the end of last year, and it has not even been a year until now.
"When a tool is completed, it is only a matter of time before it fulfills its mission. I have a hunch, and you should know this feeling."
At least not in Sanak's mind.
That is, the Kakutani conjecture is established.
"After today, I will continue to retreat. In this report meeting, the only one you can rely on is yourself."
Lu Zhou shook his head: "I'm afraid it won't work this time."
"Is the tool you are talking about the paper on 'L-manifold' that you recently submitted to the "Annals of Mathematics"?"