Yang Yongan was stunned.
Lu Zhou smiled and nodded to the three of them to express his gratitude. He then stopped the joking expression on his face, stared at the blackboard and pondered for a while, then raised the chalk in his hand and wrote on it.
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
"Yeah," the pupils that didn't have much emotion finally showed a trace of emotion or excitement. The young man sighed and said, "I have been here for almost five years. I am a person who can discuss nothing."
[It can be known from the Lefschetz-Hyperplane theorem that the included mapping i:]
The little fat man standing next to him glanced at his buddy and asked blankly.
There's more than just shock involved.
His expression was full of weirdness. Yang Yongan glanced at the blackboard and then at the young man. The look in his eyes couldn't tell whether he was looking at a madman or an idiot.
The young man wearing glasses was also stunned.
Do you know where you are from before asking for your name
Yang Yongan's head was shaken.
The air froze for a few seconds.
Is this the strength of Academician Lu
If some old people in the mathematics center saw what he was studying, he wouldn't be surprised.
"...Hodge's guess?"
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
One day, they can reach such heights.
His expression was full of weirdness. Yang Yongan glanced at the blackboard and then at the young man. The look in his eyes couldn't tell whether he was looking at a madman or an idiot.
I heard that since this guy joined the International Mathematics Research Center, he has been studying some incomprehensible things in silence, because he can't produce any results, and even the office has been vacated for newcomers.
There are more and more calculations on the blackboard.
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
He is also a scholar engaged in research in this field!
He had just thought this guy was a weirdo.
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
One day, they can reach such heights.
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
I don’t know whether he is really stupid or pretending to be stupid. Not only did this guy not feel bullied at all, but when he was asked why he didn’t leave, he just replied nonchalantly, “I like the quietness here”, and then continued to do his own things. .
I heard that since this guy joined the International Mathematics Research Center, he has been studying some incomprehensible things in silence, because he can't produce any results, and even the office has been vacated for newcomers.
Do you know where you are from before asking for your name
"...You mean, he proved a weak form?"
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
unless…
However, the Hodge Hypothesis, like the Riemann Hypothesis, has many weak forms.
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
Although he was looked at like a fool, the young man wearing glasses didn't feel anything at all. He just watched Lu Zhou push up his glasses in surprise.
"Please...but there's not much space left on the blackboard."
…
I don’t know whether he is really stupid or pretending to be stupid. Not only did this guy not feel bullied at all, but when he was asked why he didn’t leave, he just replied nonchalantly, “I like the quietness here”, and then continued to do his own things. .
Of course, he was not trying to prove the Hodge conjecture.
There were also some high school students who obviously didn't look like scholars, and they were all members of the national training team for the IMO competition, "mathematical geniuses" from high schools across the country.
When Lu Zhou stopped writing the last stroke and looked at the calculations on the blackboard, the young man's voice was already trembling.
There's more than just shock involved.
…
Yang Yongan was stunned.
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
"Great God! This is the real great God! I seem to have seen him somewhere..."
However, because of the inherent connection between this issue and the Cauchy-Riemann equation, Lu Zhou was not unfamiliar with it. Moreover, the application of hyperelliptic curve analysis method made by this unknown young scholar on the blackboard gave Lu Zhou some inspiration.
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
Hodge guessed.
After all, it has been two or three years. Counting the time this guy has been sitting here, it may have been four or five years. If you can't produce any results in four or five years, such a person will be no different from a waste if he only has a few tricks.
After calming down, Yang Yongan lowered his voice and asked respectfully.
"Jinling Mathematical Academy."
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
"Go to the academy, academician!"
Putting aside the time of study, the golden period in a mathematician's life is only ten or twenty years. It's really stupid to spend four or five years on a problem that you can't think of.
After finishing the lecture, he went to the office for a sip of tea and walked slowly to the courtyard. Academician Wang Shicheng was about to meet Academician Lu who had come from afar, but he didn't expect that he had already arrived and was standing at a blackboard. There was something written next to it.
After all, it has been two or three years. Counting the time this guy has been sitting here, it may have been four or five years. If you can't produce any results in four or five years, such a person will be no different from a waste if he only has a few tricks.
It's such a pity...
Especially for century-old problems like the Hodge Conjecture, even people who know something about this field may not be able to understand what they write on the blackboard because of their different research ideas.
The little fat man standing next to him glanced at his buddy and asked blankly.
If some old people in the mathematics center saw what he was studying, he wouldn't be surprised.
The young man pushed up his glasses and handed out the chalk in his hand.
Now that he heard that this guy was actually studying the Millennium Problem, he was even more sure of his guess.
There's more than just shock involved.
After smiling, Lu Zhou gently placed the unused chalk under the blackboard and said lightly.
"You...see what I'm studying?"
Such scholars are not in their mathematical center...
"Not interested in."
"At least in my memory, no one has ever tried to solve the Hodge conjecture in this way."
"Please...but there's not much space left on the blackboard."
Seeing that his buddy was not interested, the little fat man continued reluctantly: "He seems to be a king-level expert! I just took a look when I was passing by the toilet, and I couldn't understand what he wrote!"
This guy is probably crazy.
"...Hodge's guess?"
An hour passed silently.
Although he was looked at like a fool, the young man wearing glasses didn't feel anything at all. He just watched Lu Zhou push up his glasses in surprise.
Especially for century-old problems like the Hodge Conjecture, even people who know something about this field may not be able to understand what they write on the blackboard because of their different research ideas.
What's more, he also recognized the famous "weirdo" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying the Hodge conjecture for more than ten years and never looked back until he hit the wall!
"Jinling Mathematical Academy."
There are more and more calculations on the blackboard.
Although he was looked at like a fool, the young man wearing glasses didn't feel anything at all. He just watched Lu Zhou push up his glasses in surprise.
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
However, because of the inherent connection between this issue and the Cauchy-Riemann equation, Lu Zhou was not unfamiliar with it. Moreover, the application of hyperelliptic curve analysis method made by this unknown young scholar on the blackboard gave Lu Zhou some inspiration.
"You...see what I'm studying?"
After calming down, Yang Yongan lowered his voice and asked respectfully.
"...Hodge's conjecture is true for H^2...amazing!"
"Great God! This is the real great God! I seem to have seen him somewhere..."
"It's impossible. This is our first time coming to Yanda."
However, the moment his eyes fell on the blackboard, his pupils shrank involuntarily.
If some old people in the mathematics center saw what he was studying, he wouldn't be surprised.
Is this the strength of Academician Lu
Yang Yongan was stunned.
"No, no, I must have remembered it correctly. I'll think about it again..."
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
Lu Zhou smiled and said: "It is not difficult to see this. Except for Hodge's conjecture, there are few algebraic topologies of non-singular complex algebraic varieties that can produce such wonderful results as the polynomial equations that define subvarieties. Correlation. But for people who don’t know this field, it’s really not easy to see. After all, the more difficult the question and the more complex the expression, the less popular it is.”
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
…
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
After all, for most people, mathematics is like a big mountain between different research fields. Asking people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complicated name reactions in organic chemistry.
For example, for the case of H^2, the Hodge conjecture is true!
The young man wearing glasses was also stunned.
After calming down, Yang Yongan lowered his voice and asked respectfully.
After all, for most people, mathematics is like a big mountain between different research fields. Asking people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complicated name reactions in organic chemistry.
Proven weak form of a century-old puzzle!
Completely different approach!
Especially for century-old problems like the Hodge Conjecture, even people who know something about this field may not be able to understand what they write on the blackboard because of their different research ideas.
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
"Brother Ji, someone is showing off in the yard!"
However, the Hodge Hypothesis, like the Riemann Hypothesis, has many weak forms.
What's more, this is just his draft, and not a single word shows that it is related to Hodge's conjecture.
Such scholars are not in their mathematical center...
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
"Not interested in."
After smiling, Lu Zhou gently placed the unused chalk under the blackboard and said lightly.
However, the moment his eyes fell on the blackboard, his pupils shrank involuntarily.
There were also some high school students who obviously didn't look like scholars, and they were all members of the national training team for the IMO competition, "mathematical geniuses" from high schools across the country.
unless…
"Shh, keep your voice down, don't disturb others," Wang Shicheng pointed in the direction of the blackboard with his chin, "We are finishing up."
Until a gentle sigh came from behind.
"Incredible... the classification of all manifolds within a given homotopy type, and your definition of a hyperelliptic curve... "
Everyone consciously kept quiet.
In fact, Hodge's conjecture was not Lu Zhou's research field.
"Please...but there's not much space left on the blackboard."
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
He is also a scholar engaged in research in this field!
"No, we can't count him as proving it," Wang Shicheng shook his head with a serious face, and said after pondering for a moment, "If I remember correctly, this result was achieved by Levshetz in the 1920s. finished."
After calming down, Yang Yongan lowered his voice and asked respectfully.
Thinking of this, a hint of interest gradually appeared in his emotionless pupils.
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
Yang Yongan was stunned.
"You...see what I'm studying?"
"Yeah," the pupils that didn't have much emotion finally showed a trace of emotion or excitement. The young man sighed and said, "I have been here for almost five years. I am a person who can discuss nothing."
When Lu Zhou stopped writing the last stroke and looked at the calculations on the blackboard, the young man's voice was already trembling.
Lu Zhou smiled and said: "It is not difficult to see this. Except for Hodge's conjecture, there are few algebraic topologies of non-singular complex algebraic varieties that can produce such wonderful results as the polynomial equations that define subvarieties. Correlation. But for people who don’t know this field, it’s really not easy to see. After all, the more difficult the question and the more complex the expression, the less popular it is.”
The little fat man standing next to him glanced at his buddy and asked blankly.
Everyone consciously kept quiet.
Lu Zhou smiled and nodded to the three of them to express his gratitude. He then stopped the joking expression on his face, stared at the blackboard and pondered for a while, then raised the chalk in his hand and wrote on it.
Thinking of this, a hint of interest gradually appeared in his emotionless pupils.
And it's just within a couple of hours? !
After calming down, Yang Yongan lowered his voice and asked respectfully.
"Yeah," the pupils that didn't have much emotion finally showed a trace of emotion or excitement. The young man sighed and said, "I have been here for almost five years. I am a person who can discuss nothing."
Lu Zhou smiled and nodded to the three of them to express his gratitude. He then stopped the joking expression on his face, stared at the blackboard and pondered for a while, then raised the chalk in his hand and wrote on it.
Hodge guessed.
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
"That's not the case. Maybe some people understand, but they just don't want to discuss it with you." Lu Zhou smiled and extended his right hand, "Can I borrow some chalk?"
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
The little fat man standing next to him glanced at his buddy and asked blankly.
Sitting next to the window, the boy wearing a peaked cap was flipping through the book in his hand. At this time, the fat man sitting in front of him suddenly turned around and looked at him excitedly and said.
"Brother Ji, someone is showing off in the yard!"
After calming down, Yang Yongan lowered his voice and asked respectfully.
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
The young man pushed up his glasses and handed out the chalk in his hand.
"Great God! This is the real great God! I seem to have seen him somewhere..."
As the sun gradually sets in the west, the shadow of the banyan tree unconsciously moves a few inches to the east.
There are more and more calculations on the blackboard.
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
As the sun gradually sets in the west, the shadow of the banyan tree unconsciously moves a few inches to the east.
"Please...but there's not much space left on the blackboard."
There were also some high school students who obviously didn't look like scholars, and they were all members of the national training team for the IMO competition, "mathematical geniuses" from high schools across the country.
It's such a pity...
"It's okay," Lu Zhou said, looking at Yang Yong'an beside him, "Professor Yang, please help me get the blackboard."
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
Completely different approach!
Although this is not his research field, it is not difficult for him, a veteran scholar who has been studying mathematics for decades, to recognize this.
Even more ecstatic!
Yang Yongan, who was still stunned when Lu Zhou spoke to him, suddenly came to his senses and nodded quickly.
The shock written in his eyes became more and more intense.
"Not interested in."
unless…
"Great God! This is the real great God! I seem to have seen him somewhere..."
After all, for most people, mathematics is like a big mountain between different research fields. Asking people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complicated name reactions in organic chemistry.
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
And it's just within a couple of hours? !
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
An hour passed silently.
His expression was full of weirdness. Yang Yongan glanced at the blackboard and then at the young man. The look in his eyes couldn't tell whether he was looking at a madman or an idiot.
"...You mean, he proved a weak form?"
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
There are more and more calculations on the blackboard.
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
Lu Zhou smiled and nodded to the three of them to express his gratitude. He then stopped the joking expression on his face, stared at the blackboard and pondered for a while, then raised the chalk in his hand and wrote on it.
"...You mean, he proved a weak form?"
Yang Yongan's head was shaken.
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
[It can be known from the Lefschetz-Hyperplane theorem that the included mapping i:]
It's such a pity...
The shock written in his eyes became more and more intense.
"...Hodge's guess?"
Of course, he was not trying to prove the Hodge conjecture.
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
…
However, the moment his eyes fell on the blackboard, his pupils shrank involuntarily.
Everyone consciously kept quiet.
There were also some high school students who obviously didn't look like scholars, and they were all members of the national training team for the IMO competition, "mathematical geniuses" from high schools across the country.
Especially for century-old problems like the Hodge Conjecture, even people who know something about this field may not be able to understand what they write on the blackboard because of their different research ideas.
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
Even more ecstatic!
In fact, Hodge's conjecture was not Lu Zhou's research field.
An hour passed silently.
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
Proven weak form of a century-old puzzle!
His delicate eyebrows finally raised a hint of interest. The young man wearing a peaked cap put down the book in his hand and glanced out the window.
However, standing here at this moment, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these newbies, many of them also have doubts about the world of masters. A trace of yearning.
Even more ecstatic!
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
However, because of the inherent connection between this issue and the Cauchy-Riemann equation, Lu Zhou was not unfamiliar with it. Moreover, the application of hyperelliptic curve analysis method made by this unknown young scholar on the blackboard gave Lu Zhou some inspiration.
As the sun gradually sets in the west, the shadow of the banyan tree unconsciously moves a few inches to the east.
Lu Zhou smiled and said: "It is not difficult to see this. Except for Hodge's conjecture, there are few algebraic topologies of non-singular complex algebraic varieties that can produce such wonderful results as the polynomial equations that define subvarieties. Correlation. But for people who don’t know this field, it’s really not easy to see. After all, the more difficult the question and the more complex the expression, the less popular it is.”
If the study of the Riemann Hypothesis can build a bridge between algebra and geometry, then similar to the Atiyah-Singer Index Theorem, the solution to the Hodge Hypothesis will be in the other three branches of mathematics—mathematical analysis, topology. Find some basic internal connection between mathematics and algebraic geometry.
After smiling, Lu Zhou gently placed the unused chalk under the blackboard and said lightly.
Putting aside the time of study, the golden period in a mathematician's life is only ten or twenty years. It's really stupid to spend four or five years on a problem that you can't think of.
"...Hodge's conjecture is true for H^2...amazing!"
And it's just within a couple of hours? !
After finishing the lecture, he went to the office for a sip of tea and walked slowly to the courtyard. Academician Wang Shicheng was about to meet Academician Lu who had come from afar, but he didn't expect that he had already arrived and was standing at a blackboard. There was something written next to it.
"You...see what I'm studying?"
If the study of the Riemann Hypothesis can build a bridge between algebra and geometry, then similar to the Atiyah-Singer Index Theorem, the solution to the Hodge Hypothesis will be in the other three branches of mathematics—mathematical analysis, topology. Find some basic internal connection between mathematics and algebraic geometry.
Of course, he was not trying to prove the Hodge conjecture.
After calming down, Yang Yongan lowered his voice and asked respectfully.
After a pause, the old man continued.
unless…
What's more, he also recognized the famous "weirdo" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying the Hodge conjecture for more than ten years and never looked back until he hit the wall!
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
"However, although this is not a novel result, he used a completely different method from Professor Levshetz!"
After all, for most people, mathematics is like a big mountain between different research fields. Asking people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complicated name reactions in organic chemistry.
"It's impossible. This is our first time coming to Yanda."
It's such a pity...
However, the Hodge Hypothesis, like the Riemann Hypothesis, has many weak forms.
"That's not the case. Maybe some people understand, but they just don't want to discuss it with you." Lu Zhou smiled and extended his right hand, "Can I borrow some chalk?"
Sitting next to the window, the boy wearing a peaked cap was flipping through the book in his hand. At this time, the fat man sitting in front of him suddenly turned around and looked at him excitedly and said.
For example, for the case of H^2, the Hodge conjecture is true!
The air froze for a few seconds.
"You...see what I'm studying?"
And it's just within a couple of hours? !
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
"However, although this is not a novel result, he used a completely different method from Professor Levshetz!"
One day, they can reach such heights.
Hodge guessed.
Sitting next to the window, the boy wearing a peaked cap was flipping through the book in his hand. At this time, the fat man sitting in front of him suddenly turned around and looked at him excitedly and said.
"No, no, I must have remembered it correctly. I'll think about it again..."
Lu Zhou smiled and said: "It is not difficult to see this. Except for Hodge's conjecture, there are few algebraic topologies of non-singular complex algebraic varieties that can produce such wonderful results as the polynomial equations that define subvarieties. Correlation. But for people who don’t know this field, it’s really not easy to see. After all, the more difficult the question and the more complex the expression, the less popular it is.”
However, standing here at this moment, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these newbies, many of them also have doubts about the world of masters. A trace of yearning.
…
"Brother Ji, someone is showing off in the yard!"
"At least in my memory, no one has ever tried to solve the Hodge conjecture in this way."
Proven weak form of a century-old puzzle!
"Not interested in."
What's more, this is just his draft, and not a single word shows that it is related to Hodge's conjecture.
unless…
Seeing that his buddy was not interested, the little fat man continued reluctantly: "He seems to be a king-level expert! I just took a look when I was passing by the toilet, and I couldn't understand what he wrote!"
Yang Yongan's head was shaken.
After smiling, Lu Zhou gently placed the unused chalk under the blackboard and said lightly.
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
Is this the strength of Academician Lu
Everyone consciously kept quiet.
After finishing the lecture, he went to the office for a sip of tea and walked slowly to the courtyard. Academician Wang Shicheng was about to meet Academician Lu who had come from afar, but he didn't expect that he had already arrived and was standing at a blackboard. There was something written next to it.
The air froze for a few seconds.
Thinking of this, a hint of interest gradually appeared in his emotionless pupils.
His delicate eyebrows finally raised a hint of interest. The young man wearing a peaked cap put down the book in his hand and glanced out the window.
After calming down, Yang Yongan lowered his voice and asked respectfully.
"Let's go and take a look!"
Although this is not his research field, it is not difficult for him, a veteran scholar who has been studying mathematics for decades, to recognize this.
Do you know where you are from before asking for your name
If the study of the Riemann Hypothesis can build a bridge between algebra and geometry, then similar to the Atiyah-Singer Index Theorem, the solution to the Hodge Hypothesis will be in the other three branches of mathematics—mathematical analysis, topology. Find some basic internal connection between mathematics and algebraic geometry.
His delicate eyebrows finally raised a hint of interest. The young man wearing a peaked cap put down the book in his hand and glanced out the window.
"Let's go and take a look!"
"No, no, I must have remembered it correctly. I'll think about it again..."
"Shh, keep your voice down, don't disturb others," Wang Shicheng pointed in the direction of the blackboard with his chin, "We are finishing up."
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
this…
Unknowingly, there were already many onlookers standing nearby.
"Lu Zhou."
…
However, the Hodge Hypothesis, like the Riemann Hypothesis, has many weak forms.
And it's just within a couple of hours? !
The young man pushed up his glasses and handed out the chalk in his hand.
Lu Zhou smiled and nodded to the three of them to express his gratitude. He then stopped the joking expression on his face, stared at the blackboard and pondered for a while, then raised the chalk in his hand and wrote on it.
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
There are more and more calculations on the blackboard.
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
This guy is probably crazy.
"Incredible... the classification of all manifolds within a given homotopy type, and your definition of a hyperelliptic curve... "
However, the Hodge Hypothesis, like the Riemann Hypothesis, has many weak forms.
Unknowingly, there were already many onlookers standing nearby.
For example, for the case of H^2, the Hodge conjecture is true!
And it's just within a couple of hours? !
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
"...Hodge's conjecture is true for H^2...amazing!"
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
"It's impossible. This is our first time coming to Yanda."
There were also some high school students who obviously didn't look like scholars, and they were all members of the national training team for the IMO competition, "mathematical geniuses" from high schools across the country.
However, the moment his eyes fell on the blackboard, his pupils shrank involuntarily.
An hour passed silently.
For example, for the case of H^2, the Hodge conjecture is true!
After all, it has been two or three years. Counting the time this guy has been sitting here, it may have been four or five years. If you can't produce any results in four or five years, such a person will be no different from a waste if he only has a few tricks.
What's more, he also recognized the famous "weirdo" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying the Hodge conjecture for more than ten years and never looked back until he hit the wall!
Now that he heard that this guy was actually studying the Millennium Problem, he was even more sure of his guess.
For example, for the case of H^2, the Hodge conjecture is true!
However, standing here at this moment, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these newbies, many of them also have doubts about the world of masters. A trace of yearning.
After all, for most people, mathematics is like a big mountain between different research fields. Asking people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complicated name reactions in organic chemistry.
Even more ecstatic!
One day, they can reach such heights.
Yang Yongan's head was shaken.
"Brother Ji, someone is showing off in the yard!"
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
"Lu Zhou."
"Go to the academy, academician!"
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
The boy wearing a peaked cap had his eyes widened and his shoulders were shaking with excitement.
The shock written in his eyes became more and more intense.
Unknowingly, there were already many onlookers standing nearby.
After all, for most people, mathematics is like a big mountain between different research fields. Asking people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complicated name reactions in organic chemistry.
"At least in my memory, no one has ever tried to solve the Hodge conjecture in this way."
The little fat man standing next to him glanced at his buddy and asked blankly.
"...You mean, he proved a weak form?"
Proven weak form of a century-old puzzle!
After a pause, the old man continued.
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
Such scholars are not in their mathematical center...
It's such a pity...
"Yeah," the pupils that didn't have much emotion finally showed a trace of emotion or excitement. The young man sighed and said, "I have been here for almost five years. I am a person who can discuss nothing."
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
"Brother Ji, why are you twitching?"
What's more, this is just his draft, and not a single word shows that it is related to Hodge's conjecture.
unless…
Of course, he was not trying to prove the Hodge conjecture.
If some old people in the mathematics center saw what he was studying, he wouldn't be surprised.
The boy wearing a peaked cap had his eyes widened and his shoulders were shaking with excitement.
When Lu Zhou stopped writing the last stroke and looked at the calculations on the blackboard, the young man's voice was already trembling.
I heard that since this guy joined the International Mathematics Research Center, he has been studying some incomprehensible things in silence, because he can't produce any results, and even the office has been vacated for newcomers.
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
"Great God! This is the real great God! I seem to have seen him somewhere..."
If the study of the Riemann Hypothesis can build a bridge between algebra and geometry, then similar to the Atiyah-Singer Index Theorem, the solution to the Hodge Hypothesis will be in the other three branches of mathematics—mathematical analysis, topology. Find some basic internal connection between mathematics and algebraic geometry.
After finishing the lecture, he went to the office for a sip of tea and walked slowly to the courtyard. Academician Wang Shicheng was about to meet Academician Lu who had come from afar, but he didn't expect that he had already arrived and was standing at a blackboard. There was something written next to it.
"Brother Ji, why are you twitching?"
"who are you?"
"Let's go and take a look!"
"That's not the case. Maybe some people understand, but they just don't want to discuss it with you." Lu Zhou smiled and extended his right hand, "Can I borrow some chalk?"
unless…
Yang Yongan's head was shaken.
"It's impossible. This is our first time coming to Yanda."
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
And it's just within a couple of hours? !
Such scholars are not in their mathematical center...
After calming down, Yang Yongan lowered his voice and asked respectfully.
"No, no, I must have remembered it correctly. I'll think about it again..."
However, standing here at this moment, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these newbies, many of them also have doubts about the world of masters. A trace of yearning.
Of course, he was not trying to prove the Hodge conjecture.
After finishing the lecture, he went to the office for a sip of tea and walked slowly to the courtyard. Academician Wang Shicheng was about to meet Academician Lu who had come from afar, but he didn't expect that he had already arrived and was standing at a blackboard. There was something written next to it.
There are more and more calculations on the blackboard.
Yang Yongan was stunned.
There's more than just shock involved.
The little fat man standing next to him glanced at his buddy and asked blankly.
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
However, the moment his eyes fell on the blackboard, his pupils shrank involuntarily.
Such scholars are not in their mathematical center...
Proven weak form of a century-old puzzle!
After calming down, Yang Yongan lowered his voice and asked respectfully.
And it's just within a couple of hours? !
One day, they can reach such heights.
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
When Lu Zhou stopped writing the last stroke and looked at the calculations on the blackboard, the young man's voice was already trembling.
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
Hodge guessed.
"However, although this is not a novel result, he used a completely different method from Professor Levshetz!"
He had just thought this guy was a weirdo.
Although this is not his research field, it is not difficult for him, a veteran scholar who has been studying mathematics for decades, to recognize this.
As the sun gradually sets in the west, the shadow of the banyan tree unconsciously moves a few inches to the east.
…
this…
What's more, he also recognized the famous "weirdo" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying the Hodge conjecture for more than ten years and never looked back until he hit the wall!
"Shh, keep your voice down, don't disturb others," Wang Shicheng pointed in the direction of the blackboard with his chin, "We are finishing up."
Yang Yongan was stunned.
This guy is probably crazy.
An hour passed silently.
"No, we can't count him as proving it," Wang Shicheng shook his head with a serious face, and said after pondering for a moment, "If I remember correctly, this result was achieved by Levshetz in the 1920s. finished."
However, standing here at this moment, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these newbies, many of them also have doubts about the world of masters. A trace of yearning.
Yang Yongan was stunned.
Hodge guessed.
Especially for century-old problems like the Hodge Conjecture, even people who know something about this field may not be able to understand what they write on the blackboard because of their different research ideas.
Completely different approach!
There are more and more calculations on the blackboard.
As the sun gradually sets in the west, the shadow of the banyan tree unconsciously moves a few inches to the east.
"Shh, keep your voice down, don't disturb others," Wang Shicheng pointed in the direction of the blackboard with his chin, "We are finishing up."
What's more, this is just his draft, and not a single word shows that it is related to Hodge's conjecture.
Is this the strength of Academician Lu
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
"No, no, I must have remembered it correctly. I'll think about it again..."
Everyone consciously kept quiet.
[It can be known from the Lefschetz-Hyperplane theorem that the included mapping i:]
After calming down, Yang Yongan lowered his voice and asked respectfully.
Now that he heard that this guy was actually studying the Millennium Problem, he was even more sure of his guess.
After all, for most people, mathematics is like a big mountain between different research fields. Asking people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complicated name reactions in organic chemistry.
"It's impossible. This is our first time coming to Yanda."
Until a gentle sigh came from behind.
If some old people in the mathematics center saw what he was studying, he wouldn't be surprised.
There are more and more calculations on the blackboard.
"At least in my memory, no one has ever tried to solve the Hodge conjecture in this way."
Although he is a "weird", he is also quite polite.
Sitting next to the window, the boy wearing a peaked cap was flipping through the book in his hand. At this time, the fat man sitting in front of him suddenly turned around and looked at him excitedly and said.
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
"At least in my memory, no one has ever tried to solve the Hodge conjecture in this way."
"...Hodge's conjecture is true for H^2...amazing!"
What's more, this is just his draft, and not a single word shows that it is related to Hodge's conjecture.
"No, we can't count him as proving it," Wang Shicheng shook his head with a serious face, and said after pondering for a moment, "If I remember correctly, this result was achieved by Levshetz in the 1920s. finished."
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
However, the moment his eyes fell on the blackboard, his pupils shrank involuntarily.
Until a gentle sigh came from behind.
Yang Yongan was stunned.
It's such a pity...
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
"At least in my memory, no one has ever tried to solve the Hodge conjecture in this way."
The boy wearing a peaked cap had his eyes widened and his shoulders were shaking with excitement.
I heard that since this guy joined the International Mathematics Research Center, he has been studying some incomprehensible things in silence, because he can't produce any results, and even the office has been vacated for newcomers.
The little fat man standing next to him glanced at his buddy and asked blankly.
There are more and more calculations on the blackboard.
"You...see what I'm studying?"
"Go to the academy, academician!"
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
Of course, he was not trying to prove the Hodge conjecture.
Even more ecstatic!
"...You mean, he proved a weak form?"
"Shh, keep your voice down, don't disturb others," Wang Shicheng pointed in the direction of the blackboard with his chin, "We are finishing up."
"It's okay," Lu Zhou said, looking at Yang Yong'an beside him, "Professor Yang, please help me get the blackboard."
I don’t know whether he is really stupid or pretending to be stupid. Not only did this guy not feel bullied at all, but when he was asked why he didn’t leave, he just replied nonchalantly, “I like the quietness here”, and then continued to do his own things. .
After calming down, Yang Yongan lowered his voice and asked respectfully.
"who are you?"
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
"Lu Zhou."
However, the Hodge Hypothesis, like the Riemann Hypothesis, has many weak forms.
There were also some high school students who obviously didn't look like scholars, and they were all members of the national training team for the IMO competition, "mathematical geniuses" from high schools across the country.
Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat eagerly and took notes or listened attentively.
"...Hodge's conjecture is true for H^2...amazing!"
"...You mean, he proved a weak form?"
…
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
The person standing under the tree at this moment, the calculation writing the truth of the world at this moment, is their future!
Everyone consciously kept quiet.
"It's okay," Lu Zhou said, looking at Yang Yong'an beside him, "Professor Yang, please help me get the blackboard."
"...Hodge's conjecture is true for H^2...amazing!"
"No, we can't count him as proving it," Wang Shicheng shook his head with a serious face, and said after pondering for a moment, "If I remember correctly, this result was achieved by Levshetz in the 1920s. finished."
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
Thinking of this, a hint of interest gradually appeared in his emotionless pupils.
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
What's more, he also recognized the famous "weirdo" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying the Hodge conjecture for more than ten years and never looked back until he hit the wall!
"It's impossible. This is our first time coming to Yanda."
After a pause, the old man continued.
…
Even more ecstatic!
"That's not the case. Maybe some people understand, but they just don't want to discuss it with you." Lu Zhou smiled and extended his right hand, "Can I borrow some chalk?"
…
Of course, he was not trying to prove the Hodge conjecture.
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
In fact, Hodge's conjecture was not Lu Zhou's research field.
"However, although this is not a novel result, he used a completely different method from Professor Levshetz!"
The little fat man standing next to him glanced at his buddy and asked blankly.
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
"Please...but there's not much space left on the blackboard."
After finishing the lecture, he went to the office for a sip of tea and walked slowly to the courtyard. Academician Wang Shicheng was about to meet Academician Lu who had come from afar, but he didn't expect that he had already arrived and was standing at a blackboard. There was something written next to it.
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
Such scholars are not in their mathematical center...
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
There are more and more calculations on the blackboard.
"At least in my memory, no one has ever tried to solve the Hodge conjecture in this way."
And it's just within a couple of hours? !
There were also some high school students who obviously didn't look like scholars, and they were all members of the national training team for the IMO competition, "mathematical geniuses" from high schools across the country.
There are more and more calculations on the blackboard.
His expression was full of weirdness. Yang Yongan glanced at the blackboard and then at the young man. The look in his eyes couldn't tell whether he was looking at a madman or an idiot.
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
One day, they can reach such heights.
When he first joined this hidden dragon and crouching tiger mathematics center, Yang Yong'an thought that this guy was the kind of Chen Jingrun-style scholar who "doesn't make a sound but makes a big splash". As a result, as time passed and he got familiar with it, he gradually began to doubt himself. Over time, like other colleagues here, he didn't look good on him.
Yang Yongan's head was shaken.
His delicate eyebrows finally raised a hint of interest. The young man wearing a peaked cap put down the book in his hand and glanced out the window.
The shock written in his eyes became more and more intense.
"Yeah," the pupils that didn't have much emotion finally showed a trace of emotion or excitement. The young man sighed and said, "I have been here for almost five years. I am a person who can discuss nothing."
Yang Yongan, who was still stunned when Lu Zhou spoke to him, suddenly came to his senses and nodded quickly.
Yang Yongan, who was still stunned when Lu Zhou spoke to him, suddenly came to his senses and nodded quickly.
After all, it has been two or three years. Counting the time this guy has been sitting here, it may have been four or five years. If you can't produce any results in four or five years, such a person will be no different from a waste if he only has a few tricks.
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
Proven weak form of a century-old puzzle!
Completely different approach!
I heard that since this guy joined the International Mathematics Research Center, he has been studying some incomprehensible things in silence, because he can't produce any results, and even the office has been vacated for newcomers.
Until a gentle sigh came from behind.
Lu Zhou smiled and nodded to the three of them to express his gratitude. He then stopped the joking expression on his face, stared at the blackboard and pondered for a while, then raised the chalk in his hand and wrote on it.
"Please...but there's not much space left on the blackboard."
If some old people in the mathematics center saw what he was studying, he wouldn't be surprised.
The air froze for a few seconds.
Proven weak form of a century-old puzzle!
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
But it’s a bit scary to be recognized by someone who is meeting you for the first time, or even seeing what you wrote on the blackboard for the first time, as to what problem you are studying.
Lu Zhou smiled and said: "It is not difficult to see this. Except for Hodge's conjecture, there are few algebraic topologies of non-singular complex algebraic varieties that can produce such wonderful results as the polynomial equations that define subvarieties. Correlation. But for people who don’t know this field, it’s really not easy to see. After all, the more difficult the question and the more complex the expression, the less popular it is.”
Although he is a "weird", he is also quite polite.
"Brother Ji, why are you twitching?"
"...You mean, he proved a weak form?"
When Lu Zhou stopped writing the last stroke and looked at the calculations on the blackboard, the young man's voice was already trembling.
"No, we can't count him as proving it," Wang Shicheng shook his head with a serious face, and said after pondering for a moment, "If I remember correctly, this result was achieved by Levshetz in the 1920s. finished."
And it's just within a couple of hours? !
Completely different approach!
His expression was full of weirdness. Yang Yongan glanced at the blackboard and then at the young man. The look in his eyes couldn't tell whether he was looking at a madman or an idiot.
"Great God! This is the real great God! I seem to have seen him somewhere..."
It's such a pity...
After all, even he couldn't solve a problem in such a short period of time that was recognized by the Clay Research Institute and the entire mathematical community as taking a century to solve.
"Brother Ji, why are you twitching?"
There's more than just shock involved.
Even more ecstatic!
this…
If the study of the Riemann Hypothesis can build a bridge between algebra and geometry, then similar to the Atiyah-Singer Index Theorem, the solution to the Hodge Hypothesis will be in the other three branches of mathematics—mathematical analysis, topology. Find some basic internal connection between mathematics and algebraic geometry.
Everyone consciously kept quiet.
After calming down, Yang Yongan lowered his voice and asked respectfully.
Yang Yongan, who was still stunned when Lu Zhou spoke to him, suddenly came to his senses and nodded quickly.
Lu Zhou smiled and nodded to the three of them to express his gratitude. He then stopped the joking expression on his face, stared at the blackboard and pondered for a while, then raised the chalk in his hand and wrote on it.
unless…
Is this the strength of Academician Lu
this…
"Go to the academy, academician!"
After all, it has been two or three years. Counting the time this guy has been sitting here, it may have been four or five years. If you can't produce any results in four or five years, such a person will be no different from a waste if he only has a few tricks.
"Not interested in."
Do you know where you are from before asking for your name
"Lu Zhou."
The shock written in his eyes became more and more intense.
"However, although this is not a novel result, he used a completely different method from Professor Levshetz!"
"No, no, I must have remembered it correctly. I'll think about it again..."
Although he is a "weird", he is also quite polite.
"Brother Ji, someone is showing off in the yard!"
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
What's more, he also recognized the famous "weirdo" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying the Hodge conjecture for more than ten years and never looked back until he hit the wall!
Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the content on the blackboard.
Such scholars are not in their mathematical center...
"No, we can't count him as proving it," Wang Shicheng shook his head with a serious face, and said after pondering for a moment, "If I remember correctly, this result was achieved by Levshetz in the 1920s. finished."
Is this the strength of Academician Lu
The little fat man standing next to him glanced at his buddy and asked blankly.
His expression was full of weirdness. Yang Yongan glanced at the blackboard and then at the young man. The look in his eyes couldn't tell whether he was looking at a madman or an idiot.
"It's okay," Lu Zhou said, looking at Yang Yong'an beside him, "Professor Yang, please help me get the blackboard."
"It's impossible. This is our first time coming to Yanda."
It's such a pity...
"It's impossible. This is our first time coming to Yanda."
unless…
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
"Okay, okay! Please wait a moment, the most important thing here is the blackboard!"
When Lu Zhou stopped writing the last stroke and looked at the calculations on the blackboard, the young man's voice was already trembling.
"Incredible... the classification of all manifolds within a given homotopy type, and your definition of a hyperelliptic curve... "
"It's okay," Lu Zhou said, looking at Yang Yong'an beside him, "Professor Yang, please help me get the blackboard."
What's more, he also recognized the famous "weirdo" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying the Hodge conjecture for more than ten years and never looked back until he hit the wall!
However, standing here at this moment, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these newbies, many of them also have doubts about the world of masters. A trace of yearning.
"It's impossible. This is our first time coming to Yanda."
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
Hearing this ghost-like voice, Yang Yongan almost fell down from fright. Looking back, he realized that at some point, old academician Wang Shicheng was standing behind him.
He had just thought this guy was a weirdo.
When Lu Zhou stopped writing the last stroke and looked at the calculations on the blackboard, the young man's voice was already trembling.
"Let's go and take a look!"
"...Hodge's guess?"
As the sun gradually sets in the west, the shadow of the banyan tree unconsciously moves a few inches to the east.
An hour passed silently.
…
Although he is a "weird", he is also quite polite.
Completely different approach!
His delicate eyebrows finally raised a hint of interest. The young man wearing a peaked cap put down the book in his hand and glanced out the window.
There's more than just shock involved.
"Brother Ji, someone is showing off in the yard!"
The air froze for a few seconds.
Now that he heard that this guy was actually studying the Millennium Problem, he was even more sure of his guess.
[It can be known from the Lefschetz-Hyperplane theorem that the included mapping i:]
His expression was full of weirdness. Yang Yongan glanced at the blackboard and then at the young man. The look in his eyes couldn't tell whether he was looking at a madman or an idiot.
Even more ecstatic!
Thinking of this, a hint of interest gradually appeared in his emotionless pupils.
Of course, he was not trying to prove the Hodge conjecture.
Proven weak form of a century-old puzzle!
An hour passed silently.
Until a gentle sigh came from behind.
The shock written in his eyes became more and more intense.
"No, we can't count him as proving it," Wang Shicheng shook his head with a serious face, and said after pondering for a moment, "If I remember correctly, this result was achieved by Levshetz in the 1920s. finished."
"Shh, keep your voice down, don't disturb others," Wang Shicheng pointed in the direction of the blackboard with his chin, "We are finishing up."
"I, Chen Yang, are associate professor of mathematics..."
Even more ecstatic!
Now that he heard that this guy was actually studying the Millennium Problem, he was even more sure of his guess.
"Go to the academy, academician!"
One day, they can reach such heights.
"who are you?"
Of course, he was not trying to prove the Hodge conjecture.
"Brother Ji, someone is showing off in the yard!"
"Not interested in."
Do you know where you are from before asking for your name
Do you know where you are from before asking for your name
Yang Yongan's head was shaken.
"Brother Ji, someone is showing off in the yard!"
Especially for century-old problems like the Hodge Conjecture, even people who know something about this field may not be able to understand what they write on the blackboard because of their different research ideas.
As he spoke, he trotted to the nearest wing, and soon took two scientific research dogs and dragged a blackboard on a roller stand back to the big banyan tree.
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
While Lu Zhou was concentrating on his calculations, in a side building not far from here, sixty people who had passed the exam and were selected for the national training team for the IMO competition had just listened to the lectures of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng. , now is the break time for free activities.
Although he is a "weird", he is also quite polite.
Yang Yongan, who was still stunned when Lu Zhou spoke to him, suddenly came to his senses and nodded quickly.
Lu Zhou smiled and said: "It is not difficult to see this. Except for Hodge's conjecture, there are few algebraic topologies of non-singular complex algebraic varieties that can produce such wonderful results as the polynomial equations that define subvarieties. Correlation. But for people who don’t know this field, it’s really not easy to see. After all, the more difficult the question and the more complex the expression, the less popular it is.”
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
Is this the strength of Academician Lu
…
After smiling, Lu Zhou gently placed the unused chalk under the blackboard and said lightly.
"Not interested in."
"Brother Ji, why are you twitching?"
"He is indeed the number one young scholar in the field of mathematics today," Wang Shicheng sighed softly with a look of shock in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be profound."
I heard that since this guy joined the International Mathematics Research Center, he has been studying some incomprehensible things in silence, because he can't produce any results, and even the office has been vacated for newcomers.
"Jinling Mathematical Academy."
"Not interested in."
He is also a scholar engaged in research in this field!
If it were a person who understood the world, he would have resigned on his own initiative, but this guy was different. After being kicked out of the office, he moved a small bench and sat here.
Putting aside the time of study, the golden period in a mathematician's life is only ten or twenty years. It's really stupid to spend four or five years on a problem that you can't think of.
Yang Yongan, who was still stunned when Lu Zhou spoke to him, suddenly came to his senses and nodded quickly.
If the study of the Riemann Hypothesis can build a bridge between algebra and geometry, then similar to the Atiyah-Singer Index Theorem, the solution to the Hodge Hypothesis will be in the other three branches of mathematics—mathematical analysis, topology. Find some basic internal connection between mathematics and algebraic geometry.
However, standing here at this moment, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these newbies, many of them also have doubts about the world of masters. A trace of yearning.
"Lu Zhou."
Is this the strength of Academician Lu
After a pause, the old man continued.
After finishing the lecture, he went to the office for a sip of tea and walked slowly to the courtyard. Academician Wang Shicheng was about to meet Academician Lu who had come from afar, but he didn't expect that he had already arrived and was standing at a blackboard. There was something written next to it.