As a staunch and conscientious materialist warrior, Lu Zhou certainly did not believe in ghosts and gods.
After working on it for a long time, it turned out that I was betting on the Fields Medal...
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
After his eyes adjusted to the light in the corridor for a while, he relied on his only impression and asked in an uncertain tone.
Professor Deligne is a student of Grothendieck and one of the leaders of the Grothendieck school. And in terms of awards alone, there are only two people in the history of mathematics who have won the Fields Medal, the Wolf Medal, and the Crafford Medal. One of them is Qiu Chengtong, and the other is Deligne.
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
"Molina?"
One is to join Professor Deligne's research group. Although it is possible to gain higher mathematical experience by aiming at standard conjectures, this will undoubtedly delay the progress of the system task, especially since he does not know where Professor Deligne has progressed now. How much work remains unfinished.
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
This is an objective rule proven by a millennium-level mathematical proposition. Even a genius and a loner like Perelman cannot skip all the previous work and directly conclude that the Poincaré conjecture is true.
The other is to work alone, concentrate all your energy on conquering Goldbach's conjecture, and then use it as your graduation thesis to complete your PhD at Princeton...
"My research group focuses on studying 'standard conjectures'. Of course, I have no hard requirements for you and will not restrict your development. According to my observation, you are a scholar who is good at independent research. But if you are willing to join me I welcome the topic. If you are not interested, you can complete the tasks I give you like other doctoral students and prepare your graduation thesis at the same time, and you can still get your doctorate."
Lu Zhou: "Definitely!"
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
Hearing Lu Zhou pronounce her name, the French lady's lips curved into a smile: "I knew you would come here... Why don't you call me? I can drive to Philadelphia to pick you up."
"Welcome to join the Princeton family. I will help you with the relevant procedures now."
Passing by the stunned Molina, Lu Zhou dragged his suitcase towards the room at the end of the corridor.
The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture. Although it seems to be very simple to describe, it can even be described with the sentence "All non-trivial zeros of the Riemannζ function are located on the complex plane Re( s)=1/2" can be summarized.
But in fact, it is a huge project, similar to a building.
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
One is to join Professor Deligne's research group. Although it is possible to gain higher mathematical experience by aiming at standard conjectures, this will undoubtedly delay the progress of the system task, especially since he does not know where Professor Deligne has progressed now. How much work remains unfinished.
Here’s the problem again…
Algebraic geometry is an important tool for studying analytic number theory, but this area is Lu Zhou's shortcoming. In the past, he had always wanted to study Grothendieck's original manuscript, but when he obtained the electronic file from Academician Xiang, he found that he could not understand French at all.
Lu Zhou: "What's wrong?"
As for the "standard conjecture" mentioned by Professor Deligne and Lu Zhou, it is the general form of Weil's conjecture. It was proposed by Mr. Grothendieck, the "pope" of modern algebraic geometry, and is known as the crown of the algebraic geometry world.
As a staunch and conscientious materialist warrior, Lu Zhou certainly did not believe in ghosts and gods.
Lu Zhou: "Definitely!"
"I've asked my senior brother... Where is No. 211?" Lu Zhou coughed dryly and quickly changed the subject.
Lu Zhou looked at her in surprise.
"Welcome to join the Princeton family. I will help you with the relevant procedures now."
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
Lu Zhou: "Definitely!"
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
One of the popular candidates for the Fields Medal, a French female mathematician with both good looks and knowledge.
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
"Go upstairs and turn left to the end of the corridor," she raised her index finger slightly. Molina did not bother about the phone call and said in a casual tone, "By the way, speaking of which, have you chosen a mentor?"
Lu Zhou looked at her in surprise.
"What I mean is, if you haven't chosen well, I recommend my mentor Sophie Morel to you," Molina said, looking at Lu Zhou seriously, "My previous invitation is still valid. Our project requires you."
Just like the Poincaré conjecture, without Smail introducing it to high-dimensional concepts in the 1960s, and without the theory of "using nonlinear differential equations to study geometric structures" developed by Qiu Chengtong when proving the Calabi conjecture, there would be no There would be Hamilton's subsequent breakthrough on "Ricci flow" and his 1993 paper on singularity theory, not to mention Perelman's final proof.
The invitations to coffee parties and academic exchange invitations sent from unknown sources were nothing. While eating at the eating-clubs, a young female teaching assistant took the initiative to strike up a conversation with him, and then less than ten In one sentence, he talked about the mentor issue, and kept hinting that his own mentor was a good choice.
Molina raised her eyebrows and asked with a smile: "Are you surprised?"
"My research group focuses on studying 'standard conjectures'. Of course, I have no hard requirements for you and will not restrict your development. According to my observation, you are a scholar who is good at independent research. But if you are willing to join me I welcome the topic. If you are not interested, you can complete the tasks I give you like other doctoral students and prepare your graduation thesis at the same time, and you can still get your doctorate."
Algebraic geometry is an important tool for studying analytic number theory, but this area is Lu Zhou's shortcoming. In the past, he had always wanted to study Grothendieck's original manuscript, but when he obtained the electronic file from Academician Xiang, he found that he could not understand French at all.
Lu Zhou: "What's wrong?"
Having said this, Deligne paused for a moment, looked at Lu Zhou and continued.
With Professor Deligne's knowledge, you will definitely be able to learn a lot.
…
"What I mean is, if you haven't chosen well, I recommend my mentor Sophie Morel to you," Molina said, looking at Lu Zhou seriously, "My previous invitation is still valid. Our project requires you."
As for why, the reason is simple.
With Professor Deligne's knowledge, you will definitely be able to learn a lot.
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
It is like an isolated mountain, and all the mathematicians are standing on the mountainside, not even sure how high the mountain is.
"Molina?"
One of the popular candidates for the Fields Medal, a French female mathematician with both good looks and knowledge.
Crossing her arms, Molina raised a smile on her lips: "What about your choice?"
Sophie Morel
Because this is tantamount to those people in time-travel novels who haven't even built a photolithography machine. They took a file and returned to the Qing Dynasty and wanted to make chips. They are completely divorced from reality. The Clay Research Institute collects several baskets of similar papers every year, but they are no different than waste paper.
After returning to the dormitory, Lu Zhou lay on the soft bed and seriously considered Professor Deligne's invitation.
"Welcome to join the Princeton family. I will help you with the relevant procedures now."
joke.
Here’s the problem again…
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
There is also algebraic geometry as an entry point.
Here’s the problem again…
Lu Zhou looked at her in surprise.
…
But what surprised him was not Sophie's name, but Princeton's ability to recruit people.
Molina raised her eyebrows and asked with a smile: "Are you surprised?"
"Go upstairs and turn left to the end of the corridor," she raised her index finger slightly. Molina did not bother about the phone call and said in a casual tone, "By the way, speaking of which, have you chosen a mentor?"
Lu Zhou: "What's wrong?"
There is also algebraic geometry as an entry point.
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
Sophie Morel
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
"I'm really surprised..." Lu Zhou nodded.
"Of course, my expectations and requirements for you are higher than others. Your graduation thesis must at least meet the standards of the "Annals of Mathematics". If everything goes well, maybe you can get your doctorate next year. But if you Being too lax on yourself is a waste of your talent, which you may never get.”
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
Routines, they are all routines.
Passing by the stunned Molina, Lu Zhou dragged his suitcase towards the room at the end of the corridor.
Algebraic geometry is an important tool for studying analytic number theory, but this area is Lu Zhou's shortcoming. In the past, he had always wanted to study Grothendieck's original manuscript, but when he obtained the electronic file from Academician Xiang, he found that he could not understand French at all.
One of the popular candidates for the Fields Medal, a French female mathematician with both good looks and knowledge.
One is to join Professor Deligne's research group. Although it is possible to gain higher mathematical experience by aiming at standard conjectures, this will undoubtedly delay the progress of the system task, especially since he does not know where Professor Deligne has progressed now. How much work remains unfinished.
One of the popular candidates for the Fields Medal, a French female mathematician with both good looks and knowledge.
The other is to work alone, concentrate all your energy on conquering Goldbach's conjecture, and then use it as your graduation thesis to complete your PhD at Princeton...
…
The same goes for the Riemann Hypothesis, and this building is bigger than the Poincaré Hypothesis.
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
But what surprised him was not Sophie's name, but Princeton's ability to recruit people.
One is to join Professor Deligne's research group. Although it is possible to gain higher mathematical experience by aiming at standard conjectures, this will undoubtedly delay the progress of the system task, especially since he does not know where Professor Deligne has progressed now. How much work remains unfinished.
For example, the Weil conjecture that has been proved by Deligne (one of the most brilliant achievements in the field of pure mathematics in the 1970s) is popularly described as the Riemann Hypothesis in the function domain, and is often nicknamed the "copycat" Riemann Hypothesis.
Sure enough, it is a Yankee who "does whatever he wants" with the help of the alumni association. It seems that the name of the Paris Mathematics Center was not snatched away, but simply bought...
"Go upstairs and turn left to the end of the corridor," she raised her index finger slightly. Molina did not bother about the phone call and said in a casual tone, "By the way, speaking of which, have you chosen a mentor?"
Here’s the problem again…
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
Lu Zhou originally planned to attend a few classes and inquire more before choosing his instructor. As a result, he far underestimated how "attractive" a 21-year-old Kohl Prize winner and a popular candidate for the Philippine Prize would be to a Princeton professor.
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
Having said this, Deligne paused for a moment, looked at Lu Zhou and continued.
Sure enough, it is a Yankee who "does whatever he wants" with the help of the alumni association. It seems that the name of the Paris Mathematics Center was not snatched away, but simply bought...
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
Lu Zhou: "What's wrong?"
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
After working on it for a long time, it turned out that I was betting on the Fields Medal...
After working on it for a long time, it turned out that I was betting on the Fields Medal...
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture. Although it seems to be very simple to describe, it can even be described with the sentence "All non-trivial zeros of the Riemannζ function are located on the complex plane Re( s)=1/2" can be summarized.
The only thing confirmed is that there are as many problems as the mountains in front of us, and no one has yet to solve them. Who can solve all the problems leading to the ultimate proposition of the Riemann Hypothesis? Ten Fields Medals are not enough, but five are definitely enough... provided that one person can win so many times.
After working on it for a long time, it turned out that I was betting on the Fields Medal...
The same goes for the Riemann Hypothesis, and this building is bigger than the Poincaré Hypothesis.
"Of course, my expectations and requirements for you are higher than others. Your graduation thesis must at least meet the standards of the "Annals of Mathematics". If everything goes well, maybe you can get your doctorate next year. But if you Being too lax on yourself is a waste of your talent, which you may never get.”
…
One of the popular candidates for the Fields Medal, a French female mathematician with both good looks and knowledge.
Crossing her arms, Molina raised a smile on her lips: "What about your choice?"
The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture. Although it seems to be very simple to describe, it can even be described with the sentence "All non-trivial zeros of the Riemannζ function are located on the complex plane Re( s)=1/2" can be summarized.
"What I mean is, if you haven't chosen well, I recommend my mentor Sophie Morel to you," Molina said, looking at Lu Zhou seriously, "My previous invitation is still valid. Our project requires you."
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
Lu Zhou: "Definitely!"
"Thank you for the invitation, but let me refuse."
Here’s the problem again…
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
Crossing her arms, Molina raised a smile on her lips: "What about your choice?"
Passing by the stunned Molina, Lu Zhou dragged his suitcase towards the room at the end of the corridor.
…
As a staunch and conscientious materialist warrior, Lu Zhou certainly did not believe in ghosts and gods.
Here’s the problem again…
joke.
Lu Zhou: "What's wrong?"
As for the "standard conjecture" mentioned by Professor Deligne and Lu Zhou, it is the general form of Weil's conjecture. It was proposed by Mr. Grothendieck, the "pope" of modern algebraic geometry, and is known as the crown of the algebraic geometry world.
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
Hearing Lu Zhou pronounce her name, the French lady's lips curved into a smile: "I knew you would come here... Why don't you call me? I can drive to Philadelphia to pick you up."
If Professor Deligne hopes to fulfill his teacher's long-cherished wish and prove the Riemann Hypothesis, then as an expert in algebraic geometry, the standard conjecture will always be something he must face.
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
Because this is tantamount to those people in time-travel novels who haven't even built a photolithography machine. They took a file and returned to the Qing Dynasty and wanted to make chips. They are completely divorced from reality. The Clay Research Institute collects several baskets of similar papers every year, but they are no different than waste paper.
Crossing her arms, Molina raised a smile on her lips: "What about your choice?"
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
"I'm really surprised..." Lu Zhou nodded.
…
Just like the Poincaré conjecture, without Smail introducing it to high-dimensional concepts in the 1960s, and without the theory of "using nonlinear differential equations to study geometric structures" developed by Qiu Chengtong when proving the Calabi conjecture, there would be no There would be Hamilton's subsequent breakthrough on "Ricci flow" and his 1993 paper on singularity theory, not to mention Perelman's final proof.
"What I mean is, if you haven't chosen well, I recommend my mentor Sophie Morel to you," Molina said, looking at Lu Zhou seriously, "My previous invitation is still valid. Our project requires you."
But what surprised him was not Sophie's name, but Princeton's ability to recruit people.
Lu Zhou: "I understand... Regarding your suggestion, I would like to consider it again."
"Go upstairs and turn left to the end of the corridor," she raised her index finger slightly. Molina did not bother about the phone call and said in a casual tone, "By the way, speaking of which, have you chosen a mentor?"
"My research group focuses on studying 'standard conjectures'. Of course, I have no hard requirements for you and will not restrict your development. According to my observation, you are a scholar who is good at independent research. But if you are willing to join me I welcome the topic. If you are not interested, you can complete the tasks I give you like other doctoral students and prepare your graduation thesis at the same time, and you can still get your doctorate."
…
Here’s the problem again…
Lu Zhou: "I understand... Regarding your suggestion, I would like to consider it again."
As for why, the reason is simple.
After his eyes adjusted to the light in the corridor for a while, he relied on his only impression and asked in an uncertain tone.
There is also algebraic geometry as an entry point.
There is also algebraic geometry as an entry point.
Lu Zhou: "Definitely!"
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
Lu Zhou originally planned to attend a few classes and inquire more before choosing his instructor. As a result, he far underestimated how "attractive" a 21-year-old Kohl Prize winner and a popular candidate for the Philippine Prize would be to a Princeton professor.
Molina raised her eyebrows and asked with a smile: "Are you surprised?"
After working on it for a long time, it turned out that I was betting on the Fields Medal...
Algebraic geometry is an important tool for studying analytic number theory, but this area is Lu Zhou's shortcoming. In the past, he had always wanted to study Grothendieck's original manuscript, but when he obtained the electronic file from Academician Xiang, he found that he could not understand French at all.
Routines, they are all routines.
As for why, the reason is simple.
Having said this, Deligne paused for a moment, looked at Lu Zhou and continued.
joke.
The invitations to coffee parties and academic exchange invitations sent from unknown sources were nothing. While eating at the eating-clubs, a young female teaching assistant took the initiative to strike up a conversation with him, and then less than ten In one sentence, he talked about the mentor issue, and kept hinting that his own mentor was a good choice.
"Welcome to join the Princeton family. I will help you with the relevant procedures now."
…
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
Sophie Morel
Hearing Lu Zhou pronounce her name, the French lady's lips curved into a smile: "I knew you would come here... Why don't you call me? I can drive to Philadelphia to pick you up."
"I've asked my senior brother... Where is No. 211?" Lu Zhou coughed dryly and quickly changed the subject.
Routines, they are all routines.
Let alone eight years, even if you invite Gauss back, giving him eighty years may not be enough.
But what surprised him was not Sophie's name, but Princeton's ability to recruit people.
Molina raised her eyebrows and asked with a smile: "Are you surprised?"
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
One is to join Professor Deligne's research group. Although it is possible to gain higher mathematical experience by aiming at standard conjectures, this will undoubtedly delay the progress of the system task, especially since he does not know where Professor Deligne has progressed now. How much work remains unfinished.
Algebraic geometry is an important tool for studying analytic number theory, but this area is Lu Zhou's shortcoming. In the past, he had always wanted to study Grothendieck's original manuscript, but when he obtained the electronic file from Academician Xiang, he found that he could not understand French at all.
The only thing confirmed is that there are as many problems as the mountains in front of us, and no one has yet to solve them. Who can solve all the problems leading to the ultimate proposition of the Riemann Hypothesis? Ten Fields Medals are not enough, but five are definitely enough... provided that one person can win so many times.
Despite his headache, Lu Zhou knew he had to make a choice as soon as possible.
One of the popular candidates for the Fields Medal, a French female mathematician with both good looks and knowledge.
Crossing her arms, Molina raised a smile on her lips: "What about your choice?"
…
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
"My research group focuses on studying 'standard conjectures'. Of course, I have no hard requirements for you and will not restrict your development. According to my observation, you are a scholar who is good at independent research. But if you are willing to join me I welcome the topic. If you are not interested, you can complete the tasks I give you like other doctoral students and prepare your graduation thesis at the same time, and you can still get your doctorate."
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
As for why, the reason is simple.
This is an objective rule proven by a millennium-level mathematical proposition. Even a genius and a loner like Perelman cannot skip all the previous work and directly conclude that the Poincaré conjecture is true.
joke.
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
Lu Zhou looked at her in surprise.
"Molina?"
Algebraic geometry is an important tool for studying analytic number theory, but this area is Lu Zhou's shortcoming. In the past, he had always wanted to study Grothendieck's original manuscript, but when he obtained the electronic file from Academician Xiang, he found that he could not understand French at all.
This is an objective rule proven by a millennium-level mathematical proposition. Even a genius and a loner like Perelman cannot skip all the previous work and directly conclude that the Poincaré conjecture is true.
With Professor Deligne's knowledge, you will definitely be able to learn a lot.
Professor Deligne is a student of Grothendieck and one of the leaders of the Grothendieck school. And in terms of awards alone, there are only two people in the history of mathematics who have won the Fields Medal, the Wolf Medal, and the Crafford Medal. One of them is Qiu Chengtong, and the other is Deligne.
Having said this, Deligne paused for a moment, looked at Lu Zhou and continued.
Lu Zhou: "Definitely!"
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
"Molina?"
Because this is tantamount to those people in time-travel novels who haven't even built a photolithography machine. They took a file and returned to the Qing Dynasty and wanted to make chips. They are completely divorced from reality. The Clay Research Institute collects several baskets of similar papers every year, but they are no different than waste paper.
…
Of course, modern mathematicians are not without any ideas. Whether it is the "40% zero point" of Kang Rui's critical line theorem, or the recent proposal by three mathematicians such as Carl Bender to "introduce the Riemann Hypothesis into a quantum mechanical system under a special situation to explain it" ", can be regarded as a train of thought.
With Professor Deligne's knowledge, you will definitely be able to learn a lot.
Hearing Lu Zhou pronounce her name, the French lady's lips curved into a smile: "I knew you would come here... Why don't you call me? I can drive to Philadelphia to pick you up."
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
But in fact, it is a huge project, similar to a building.
This is an objective rule proven by a millennium-level mathematical proposition. Even a genius and a loner like Perelman cannot skip all the previous work and directly conclude that the Poincaré conjecture is true.
After his eyes adjusted to the light in the corridor for a while, he relied on his only impression and asked in an uncertain tone.
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
Let alone eight years, even if you invite Gauss back, giving him eighty years may not be enough.
With Professor Deligne's knowledge, you will definitely be able to learn a lot.
Hearing Lu Zhou pronounce her name, the French lady's lips curved into a smile: "I knew you would come here... Why don't you call me? I can drive to Philadelphia to pick you up."
The other is to work alone, concentrate all your energy on conquering Goldbach's conjecture, and then use it as your graduation thesis to complete your PhD at Princeton...
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
…
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
"Welcome to join the Princeton family. I will help you with the relevant procedures now."
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
The other is to work alone, concentrate all your energy on conquering Goldbach's conjecture, and then use it as your graduation thesis to complete your PhD at Princeton...
As for why, the reason is simple.
As a staunch and conscientious materialist warrior, Lu Zhou certainly did not believe in ghosts and gods.
Let alone eight years, even if you invite Gauss back, giving him eighty years may not be enough.
Molina raised her eyebrows and asked with a smile: "Are you surprised?"
But in fact, it is a huge project, similar to a building.
Sophie Morel
"My research group focuses on studying 'standard conjectures'. Of course, I have no hard requirements for you and will not restrict your development. According to my observation, you are a scholar who is good at independent research. But if you are willing to join me I welcome the topic. If you are not interested, you can complete the tasks I give you like other doctoral students and prepare your graduation thesis at the same time, and you can still get your doctorate."
Sophie Morel
The invitations to coffee parties and academic exchange invitations sent from unknown sources were nothing. While eating at the eating-clubs, a young female teaching assistant took the initiative to strike up a conversation with him, and then less than ten In one sentence, he talked about the mentor issue, and kept hinting that his own mentor was a good choice.
Having said this, Deligne paused for a moment, looked at Lu Zhou and continued.
It is like an isolated mountain, and all the mathematicians are standing on the mountainside, not even sure how high the mountain is.
"Welcome to join the Princeton family. I will help you with the relevant procedures now."
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
Hearing Lu Zhou pronounce her name, the French lady's lips curved into a smile: "I knew you would come here... Why don't you call me? I can drive to Philadelphia to pick you up."
"Of course, my expectations and requirements for you are higher than others. Your graduation thesis must at least meet the standards of the "Annals of Mathematics". If everything goes well, maybe you can get your doctorate next year. But if you Being too lax on yourself is a waste of your talent, which you may never get.”
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
Here’s the problem again…
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
The same goes for the Riemann Hypothesis, and this building is bigger than the Poincaré Hypothesis.
Lu Zhou: "I understand... Regarding your suggestion, I would like to consider it again."
Sophie Morel
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
Lu Zhou: "I understand... Regarding your suggestion, I would like to consider it again."
"What I mean is, if you haven't chosen well, I recommend my mentor Sophie Morel to you," Molina said, looking at Lu Zhou seriously, "My previous invitation is still valid. Our project requires you."
"Of course, my expectations and requirements for you are higher than others. Your graduation thesis must at least meet the standards of the "Annals of Mathematics". If everything goes well, maybe you can get your doctorate next year. But if you Being too lax on yourself is a waste of your talent, which you may never get.”
For example, the Weil conjecture that has been proved by Deligne (one of the most brilliant achievements in the field of pure mathematics in the 1970s) is popularly described as the Riemann Hypothesis in the function domain, and is often nicknamed the "copycat" Riemann Hypothesis.
As for the "standard conjecture" mentioned by Professor Deligne and Lu Zhou, it is the general form of Weil's conjecture. It was proposed by Mr. Grothendieck, the "pope" of modern algebraic geometry, and is known as the crown of the algebraic geometry world.
Let alone eight years, even if you invite Gauss back, giving him eighty years may not be enough.
"Go upstairs and turn left to the end of the corridor," she raised her index finger slightly. Molina did not bother about the phone call and said in a casual tone, "By the way, speaking of which, have you chosen a mentor?"
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
"My research group focuses on studying 'standard conjectures'. Of course, I have no hard requirements for you and will not restrict your development. According to my observation, you are a scholar who is good at independent research. But if you are willing to join me I welcome the topic. If you are not interested, you can complete the tasks I give you like other doctoral students and prepare your graduation thesis at the same time, and you can still get your doctorate."
"What I mean is, if you haven't chosen well, I recommend my mentor Sophie Morel to you," Molina said, looking at Lu Zhou seriously, "My previous invitation is still valid. Our project requires you."
Passing by the stunned Molina, Lu Zhou dragged his suitcase towards the room at the end of the corridor.
Sophie Morel
Lu Zhou: "Definitely!"
After his eyes adjusted to the light in the corridor for a while, he relied on his only impression and asked in an uncertain tone.
After returning to the dormitory, Lu Zhou lay on the soft bed and seriously considered Professor Deligne's invitation.
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
The invitations to coffee parties and academic exchange invitations sent from unknown sources were nothing. While eating at the eating-clubs, a young female teaching assistant took the initiative to strike up a conversation with him, and then less than ten In one sentence, he talked about the mentor issue, and kept hinting that his own mentor was a good choice.
…
There is also algebraic geometry as an entry point.
As for why, the reason is simple.
Standing up from the chair behind the desk, Deligne said while taking off his big gray windbreaker and hat from the hangers.
But in fact, it is a huge project, similar to a building.
There is also algebraic geometry as an entry point.
The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture. Although it seems to be very simple to describe, it can even be described with the sentence "All non-trivial zeros of the Riemannζ function are located on the complex plane Re( s)=1/2" can be summarized.
Professor Deligne is a student of Grothendieck and one of the leaders of the Grothendieck school. And in terms of awards alone, there are only two people in the history of mathematics who have won the Fields Medal, the Wolf Medal, and the Crafford Medal. One of them is Qiu Chengtong, and the other is Deligne.
joke.
But in fact, it is a huge project, similar to a building.
"I've asked my senior brother... Where is No. 211?" Lu Zhou coughed dryly and quickly changed the subject.
…
As for why, the reason is simple.
Professor Deligne is a student of Grothendieck and one of the leaders of the Grothendieck school. And in terms of awards alone, there are only two people in the history of mathematics who have won the Fields Medal, the Wolf Medal, and the Crafford Medal. One of them is Qiu Chengtong, and the other is Deligne.
But what surprised him was not Sophie's name, but Princeton's ability to recruit people.
Just like the Poincaré conjecture, without Smail introducing it to high-dimensional concepts in the 1960s, and without the theory of "using nonlinear differential equations to study geometric structures" developed by Qiu Chengtong when proving the Calabi conjecture, there would be no There would be Hamilton's subsequent breakthrough on "Ricci flow" and his 1993 paper on singularity theory, not to mention Perelman's final proof.
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
If Professor Deligne hopes to fulfill his teacher's long-cherished wish and prove the Riemann Hypothesis, then as an expert in algebraic geometry, the standard conjecture will always be something he must face.
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
After working on it for a long time, it turned out that I was betting on the Fields Medal...
This is an objective rule proven by a millennium-level mathematical proposition. Even a genius and a loner like Perelman cannot skip all the previous work and directly conclude that the Poincaré conjecture is true.
After his eyes adjusted to the light in the corridor for a while, he relied on his only impression and asked in an uncertain tone.
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
"What I mean is, if you haven't chosen well, I recommend my mentor Sophie Morel to you," Molina said, looking at Lu Zhou seriously, "My previous invitation is still valid. Our project requires you."
Despite his headache, Lu Zhou knew he had to make a choice as soon as possible.
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
If Professor Deligne hopes to fulfill his teacher's long-cherished wish and prove the Riemann Hypothesis, then as an expert in algebraic geometry, the standard conjecture will always be something he must face.
Let alone eight years, even if you invite Gauss back, giving him eighty years may not be enough.
Molina raised her eyebrows and asked with a smile: "Are you surprised?"
Here’s the problem again…
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
The same goes for the Riemann Hypothesis, and this building is bigger than the Poincaré Hypothesis.
Sophie Morel
"Thank you for the invitation, but let me refuse."
"Go upstairs and turn left to the end of the corridor," she raised her index finger slightly. Molina did not bother about the phone call and said in a casual tone, "By the way, speaking of which, have you chosen a mentor?"
It is like an isolated mountain, and all the mathematicians are standing on the mountainside, not even sure how high the mountain is.
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
Sure enough, it is a Yankee who "does whatever he wants" with the help of the alumni association. It seems that the name of the Paris Mathematics Center was not snatched away, but simply bought...
The only thing confirmed is that there are as many problems as the mountains in front of us, and no one has yet to solve them. Who can solve all the problems leading to the ultimate proposition of the Riemann Hypothesis? Ten Fields Medals are not enough, but five are definitely enough... provided that one person can win so many times.
"I'm really surprised..." Lu Zhou nodded.
Crossing her arms, Molina raised a smile on her lips: "What about your choice?"
It is like an isolated mountain, and all the mathematicians are standing on the mountainside, not even sure how high the mountain is.
Lu Zhou went to Nassau Hall to get a list of doctoral supervisors. Lu Zhou carefully studied the list for an hour and finally selected Professor Deligne as the target for the first interview.
For example, the Weil conjecture that has been proved by Deligne (one of the most brilliant achievements in the field of pure mathematics in the 1970s) is popularly described as the Riemann Hypothesis in the function domain, and is often nicknamed the "copycat" Riemann Hypothesis.
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
…
Of course, modern mathematicians are not without any ideas. Whether it is the "40% zero point" of Kang Rui's critical line theorem, or the recent proposal by three mathematicians such as Carl Bender to "introduce the Riemann Hypothesis into a quantum mechanical system under a special situation to explain it" ", can be regarded as a train of thought.
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
Because this is tantamount to those people in time-travel novels who haven't even built a photolithography machine. They took a file and returned to the Qing Dynasty and wanted to make chips. They are completely divorced from reality. The Clay Research Institute collects several baskets of similar papers every year, but they are no different than waste paper.
Of course, modern mathematicians are not without any ideas. Whether it is the "40% zero point" of Kang Rui's critical line theorem, or the recent proposal by three mathematicians such as Carl Bender to "introduce the Riemann Hypothesis into a quantum mechanical system under a special situation to explain it" ", can be regarded as a train of thought.
The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture. Although it seems to be very simple to describe, it can even be described with the sentence "All non-trivial zeros of the Riemannζ function are located on the complex plane Re( s)=1/2" can be summarized.
After his eyes adjusted to the light in the corridor for a while, he relied on his only impression and asked in an uncertain tone.
Of course, modern mathematicians are not without any ideas. Whether it is the "40% zero point" of Kang Rui's critical line theorem, or the recent proposal by three mathematicians such as Carl Bender to "introduce the Riemann Hypothesis into a quantum mechanical system under a special situation to explain it" ", can be regarded as a train of thought.
Molina raised her eyebrows and asked with a smile: "Are you surprised?"
After working on it for a long time, it turned out that I was betting on the Fields Medal...
As a staunch and conscientious materialist warrior, Lu Zhou certainly did not believe in ghosts and gods.
The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture. Although it seems to be very simple to describe, it can even be described with the sentence "All non-trivial zeros of the Riemannζ function are located on the complex plane Re( s)=1/2" can be summarized.
Lu Zhou: "What's wrong?"
There is also algebraic geometry as an entry point.
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
As a staunch and conscientious materialist warrior, Lu Zhou certainly did not believe in ghosts and gods.
For example, the Weil conjecture that has been proved by Deligne (one of the most brilliant achievements in the field of pure mathematics in the 1970s) is popularly described as the Riemann Hypothesis in the function domain, and is often nicknamed the "copycat" Riemann Hypothesis.
There is also algebraic geometry as an entry point.
The Riemann conjecture is different from a series of relatively independent mathematical problems such as the twin prime conjecture and the Polignac conjecture. Although it seems to be very simple to describe, it can even be described with the sentence "All non-trivial zeros of the Riemannζ function are located on the complex plane Re( s)=1/2" can be summarized.
Despite his headache, Lu Zhou knew he had to make a choice as soon as possible.
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
Despite his headache, Lu Zhou knew he had to make a choice as soon as possible.
As a popular candidate with a 99% chance of winning, there is something wrong with finding a competitor with an 80% chance of winning as a mentor!
One of the popular candidates for the Fields Medal, a French female mathematician with both good looks and knowledge.
Lu Zhou originally planned to attend a few classes and inquire more before choosing his instructor. As a result, he far underestimated how "attractive" a 21-year-old Kohl Prize winner and a popular candidate for the Philippine Prize would be to a Princeton professor.
As for the "standard conjecture" mentioned by Professor Deligne and Lu Zhou, it is the general form of Weil's conjecture. It was proposed by Mr. Grothendieck, the "pope" of modern algebraic geometry, and is known as the crown of the algebraic geometry world.
Sure enough, it is a Yankee who "does whatever he wants" with the help of the alumni association. It seems that the name of the Paris Mathematics Center was not snatched away, but simply bought...
Deligne nodded and said: "Well... it's okay, I can understand, but it's best to be quick. Try to give me a reply within three days. I don't want to wait too long for one thing."
Lu Zhou: "Definitely!"
Lu Zhou: "Definitely!"
If Professor Deligne hopes to fulfill his teacher's long-cherished wish and prove the Riemann Hypothesis, then as an expert in algebraic geometry, the standard conjecture will always be something he must face.
The only thing confirmed is that there are as many problems as the mountains in front of us, and no one has yet to solve them. Who can solve all the problems leading to the ultimate proposition of the Riemann Hypothesis? Ten Fields Medals are not enough, but five are definitely enough... provided that one person can win so many times.
Lu Zhou: "Definitely!"
If someone thinks that skipping all unsolved problems and relying on a certain mathematical method to prove the Riemann Hypothesis, then they are probably like the professor in Nigeria at the end of 2015, a layman who doesn’t even understand what the Riemann Hypothesis is. .
After returning to the dormitory, Lu Zhou lay on the soft bed and seriously considered Professor Deligne's invitation.
After his eyes adjusted to the light in the corridor for a while, he relied on his only impression and asked in an uncertain tone.
Sophie Morel
One is to join Professor Deligne's research group. Although it is possible to gain higher mathematical experience by aiming at standard conjectures, this will undoubtedly delay the progress of the system task, especially since he does not know where Professor Deligne has progressed now. How much work remains unfinished.
Despite his headache, Lu Zhou knew he had to make a choice as soon as possible.
Because this is tantamount to those people in time-travel novels who haven't even built a photolithography machine. They took a file and returned to the Qing Dynasty and wanted to make chips. They are completely divorced from reality. The Clay Research Institute collects several baskets of similar papers every year, but they are no different than waste paper.
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
What was even more outrageous was that Senior Brother Luo had recommended so many people to him at the beginning, but at dinner the next day he changed his previous tone and started to criticize Professor Edward Witten. Later, he may have blown it too much, and a Mexican guy sitting next to him who was engaged in condensed matter physics complained, "Is that a sissy?" The two of them almost fell out on the spot because of this.
Thinking of this, Lu Zhou suddenly understood the reason for the "unequal agreement" between Princeton and Jinling University, a small and transparent university in the mathematics world, and his expression couldn't help but be a little subtle.
Now, he faced two choices.
The other is to work alone, concentrate all your energy on conquering Goldbach's conjecture, and then use it as your graduation thesis to complete your PhD at Princeton...
The invitations to coffee parties and academic exchange invitations sent from unknown sources were nothing. While eating at the eating-clubs, a young female teaching assistant took the initiative to strike up a conversation with him, and then less than ten In one sentence, he talked about the mentor issue, and kept hinting that his own mentor was a good choice.
One is to join Professor Deligne's research group. Although it is possible to gain higher mathematical experience by aiming at standard conjectures, this will undoubtedly delay the progress of the system task, especially since he does not know where Professor Deligne has progressed now. How much work remains unfinished.
"My research group focuses on studying 'standard conjectures'. Of course, I have no hard requirements for you and will not restrict your development. According to my observation, you are a scholar who is good at independent research. But if you are willing to join me I welcome the topic. If you are not interested, you can complete the tasks I give you like other doctoral students and prepare your graduation thesis at the same time, and you can still get your doctorate."
Lu Zhou: "I understand... Regarding your suggestion, I would like to consider it again."
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
The other is to work alone, concentrate all your energy on conquering Goldbach's conjecture, and then use it as your graduation thesis to complete your PhD at Princeton...
"I'm really surprised..." Lu Zhou nodded.
It is like an isolated mountain, and all the mathematicians are standing on the mountainside, not even sure how high the mountain is.
After making an appointment for the interview, Lu Zhou thought that this old professor, who was famous for his rigor and strictness, would give him a test, even if it was just a formal test. Unexpectedly, Deligne just glanced at his materials and announced that he had passed the interview.
Having said this, Deligne paused for a moment, looked at Lu Zhou and continued.
Sophie Morel
Here’s the problem again…
Professor Deligne is a student of Grothendieck and one of the leaders of the Grothendieck school. And in terms of awards alone, there are only two people in the history of mathematics who have won the Fields Medal, the Wolf Medal, and the Crafford Medal. One of them is Qiu Chengtong, and the other is Deligne.
"Molina?"