We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
After hearing this, Witten took a sip of coffee and shook his head with a smile.
"Lu Zhou and his grand unification of algebra and geometry."
It’s hard to say whether new physics will be born, but new methods will definitely be born.
Cafe on the first floor.
Not just because of the Beilinson-Bloch conjecture itself.
While the paper is entering the review process, the relevant preprints are also posted on Arxiv.
Not really caring about the old guy Faltings, Witten looked at him and seriously asked the question he was most concerned about.
Not really caring about the old guy Faltings, Witten looked at him and seriously asked the question he was most concerned about.
"After solving the Riemann Hypothesis, but maybe before studying the Riemann Hypothesis, he started thinking about this problem... "
Whether it is condensed matter physics or high-energy physics, the unity of numbers and shapes in an abstract sense will help physicists reveal many things that were originally difficult for them to understand.
"It seems that I can hardly keep up with this era."
"Regarding the proof of the Beilinson-Bloch conjecture...it seems that their research has made progress."
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
Witten: "Then I'll bet before then."
"I'm almost in a coffin and still can't forget my collection... So, what are you going to use as a bet?"
Deligne gave a rare smile and asked in a teasing tone.
…
"Personally, it's just a matter of time," Deligne thought for a moment and said, pushing up the glasses on the bridge of his nose with his skinny index finger, "Maybe he's guilty of empiricism, but I always feel that the world wouldn't be able to solve the problem without him. The problem."
Hearing these words, Deligne was stunned for a moment, as if he didn't expect that his old friend would ask such a strange question.
Professor Deligne raised his eyebrows.
"Lu Zhou and his grand unification of algebra and geometry."
As algebraic geometry is the branch with the largest number of researchers and the most influential influence in the field of contemporary pure mathematics, this preprint immediately attracted considerable attention after it was posted.
It’s hard to say whether new physics will be born, but new methods will definitely be born.
Not really caring about the old guy Faltings, Witten looked at him and seriously asked the question he was most concerned about.
After hearing this, Witten took a sip of coffee and shook his head with a smile.
Not just because of the Beilinson-Bloch conjecture itself.
After hearing this, Witten took a sip of coffee and shook his head with a smile.
Professor Witten smiled and said, "Why not? I always think he will bring us a surprise."
Whether it is condensed matter physics or high-energy physics, the unity of numbers and shapes in an abstract sense will help physicists reveal many things that were originally difficult for them to understand.
What's more, the person who solved this problem was Professor Lu who announced the proof of the Riemann Hypothesis at this year's International Congress of Mathematicians...
While the paper is entering the review process, the relevant preprints are also posted on Arxiv.
Giving him a sideways glance, Professor Deligne said unceremoniously: "Are you embarrassed to bet on something that may one day be proven wrong?"
"I'm almost in a coffin and still can't forget my collection... So, what are you going to use as a bet?"
Deligne asked casually without much concern: "Oh, it seems your theory is hopefully verified?"
What's more, the person who solved this problem was Professor Lu who announced the proof of the Riemann Hypothesis at this year's International Congress of Mathematicians...
And mathematics will also enter a new era.
Seeing Professor Deligne's unchanging expression, Witten sighed, made a helpless expression on his face, and finally gave up the argument.
Institute for Advanced Study in Princeton.
Even if they have made significant progress, it is too difficult to solve this problem within two months.
It was precisely because of this that Professor Deligne only hesitated for a few seconds before extending his right hand without saying a word.
After all, there are only less than two months left until December.
It seemed that he felt that this statement was not accurate enough. After a while, he added another sentence.
If a grand unified theory of algebra and geometry can be completed, it will have a huge impact not only on mathematics, but also on physics.
Cafe on the first floor.
"Regarding the proof of the Beilinson-Bloch conjecture...it seems that their research has made progress."
As a physicist who has won the Fields Medal, he probably knows better than many mathematicians what this project will mean if completed.
"If this problem really belongs to this era and has a solution."
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
After hearing this, Witten took a sip of coffee and shook his head with a smile.
After all, there are only less than two months left until December.
Sitting by the window, Witten, drinking coffee, was chatting with Professor Deligne, who was holding a printed paper in his hand.
Topology is probably the field that Witten is best at.
Upon hearing this astonishing proposition, Professor Witten was slightly stunned for a moment, and then spoke after a long while.
Just like when analytic geometry was first invented, people combined geometric problems with algebraic problems for the first time through Cartesian coordinates, which directly led to the take-off of a series of sciences and technologies such as astronomy, physics, navigation, engineering, etc. in the sixteenth century.
Seeing Professor Deligne's unchanging expression, Witten sighed, made a helpless expression on his face, and finally gave up the argument.
"you sure?"
"The Lunar Hadron Collider has been completed. It is said that the first test will start in December. I guess I will have to go on a long trip by then."
Witten: "How about the manuscript on M theory?"
If a grand unified theory of algebra and geometry can be completed, it will have a huge impact not only on mathematics, but also on physics.
"Then what do you think would be a good bet?"
Deligne asked casually without much concern: "Oh, it seems your theory is hopefully verified?"
Deligne asked casually without much concern: "Oh, it seems your theory is hopefully verified?"
Not just because of the Beilinson-Bloch conjecture itself.
Seeing Professor Deligne's unchanging expression, Witten sighed, made a helpless expression on his face, and finally gave up the argument.
"make a deal!"
While the paper is entering the review process, the relevant preprints are also posted on Arxiv.
After hearing this, Witten took a sip of coffee and shook his head with a smile.
If a grand unified theory of algebra and geometry can be completed, it will have a huge impact not only on mathematics, but also on physics.
Witten: "Whose research are you referring to?"
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
Topology is probably the field that Witten is best at.
Noticing Witten's curious look at the paper in his hand, Deligne pushed up the glasses on the bridge of his nose, and the corners of his normally calm mouth suddenly revealed a rare smile.
"you sure?"
As algebraic geometry is the branch with the largest number of researchers and the most influential influence in the field of contemporary pure mathematics, this preprint immediately attracted considerable attention after it was posted.
"you sure?"
"you sure?"
"This is too exaggerated... When did he start studying this topic?"
"Regarding the proof of the Beilinson-Bloch conjecture...it seems that their research has made progress."
"But it may also be the ultimate theory to explain the origin of the universe..."
The expression on his face was a little subtle. Deligne coughed dryly and said expressionlessly.
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
Witten: "Whose research are you referring to?"
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
Deligne gave a rare smile and asked in a teasing tone.
After all, there are only less than two months left until December.
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
And mathematics will also enter a new era.
"Lu Zhou and his grand unification of algebra and geometry."
What's more, the person who solved this problem was Professor Lu who announced the proof of the Riemann Hypothesis at this year's International Congress of Mathematicians...
Professor Witten smiled and said, "Why not? I always think he will bring us a surprise."
Whether it is condensed matter physics or high-energy physics, the unity of numbers and shapes in an abstract sense will help physicists reveal many things that were originally difficult for them to understand.
Upon hearing this astonishing proposition, Professor Witten was slightly stunned for a moment, and then spoke after a long while.
"Okay, let's change it... When I was cleaning up the house some time ago, I dug out a lot of notes that I took when I was studying topology. There may be some very useful things in there that I didn't have time to sort out. In short, there are probably It’s as thick as ten volumes of quantum physics.”
His expression seemed a little difficult to decide. He frowned and thought for a while, but soon the frown relaxed.
Giving him a sideways glance, Professor Deligne said unceremoniously: "Are you embarrassed to bet on something that may one day be proven wrong?"
"It seems that I can hardly keep up with this era."
Not just because of the Beilinson-Bloch conjecture itself.
As a physicist who has won the Fields Medal, he probably knows better than many mathematicians what this project will mean if completed.
"Personally, it's just a matter of time," Deligne thought for a moment and said, pushing up the glasses on the bridge of his nose with his skinny index finger, "Maybe he's guilty of empiricism, but I always feel that the world wouldn't be able to solve the problem without him. The problem."
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
"This is too exaggerated... When did he start studying this topic?"
Witten: "Then I'll bet before then."
"It seems that I can hardly keep up with this era."
Not really caring about the old guy Faltings, Witten looked at him and seriously asked the question he was most concerned about.
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
"The Lunar Hadron Collider has been completed. It is said that the first test will start in December. I guess I will have to go on a long trip by then."
After being silent for a while, Professor Witten sighed softly and said in a teasing tone.
As a physicist who has won the Fields Medal, he probably knows better than many mathematicians what this project will mean if completed.
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
Old methods will be unified.
"This is too exaggerated... When did he start studying this topic?"
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
Witten: "Then I'll bet before then."
"Then what do you think would be a good bet?"
Just like when analytic geometry was first invented, people combined geometric problems with algebraic problems for the first time through Cartesian coordinates, which directly led to the take-off of a series of sciences and technologies such as astronomy, physics, navigation, engineering, etc. in the sixteenth century.
Old methods will be unified.
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
And mathematics will also enter a new era.
As algebraic geometry is the branch with the largest number of researchers and the most influential influence in the field of contemporary pure mathematics, this preprint immediately attracted considerable attention after it was posted.
Just like when analytic geometry was first invented, people combined geometric problems with algebraic problems for the first time through Cartesian coordinates, which directly led to the take-off of a series of sciences and technologies such as astronomy, physics, navigation, engineering, etc. in the sixteenth century.
Whether it is condensed matter physics or high-energy physics, the unity of numbers and shapes in an abstract sense will help physicists reveal many things that were originally difficult for them to understand.
Professor Deligne raised his eyebrows.
Deligne gave a rare smile and asked in a teasing tone.
"After solving the Riemann Hypothesis, but maybe before studying the Riemann Hypothesis, he started thinking about this problem... "
Cafe on the first floor.
…
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
Old methods will be unified.
"make a deal!"
Hearing these words, Deligne was stunned for a moment, as if he didn't expect that his old friend would ask such a strange question.
"If this problem really belongs to this era and has a solution."
Regardless of whether these topological research manuscripts have collection significance, there is no doubt about their academic value.
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
"Regarding the proof of the Beilinson-Bloch conjecture...it seems that their research has made progress."
After being silent for a while, Professor Witten sighed softly and said in a teasing tone.
Seeing Professor Deligne's unchanging expression, Witten sighed, made a helpless expression on his face, and finally gave up the argument.
"... If the first experiment is in December, I think it should be later."
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
"But it may also be the ultimate theory to explain the origin of the universe..."
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
"It seems that I can hardly keep up with this era."
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
If a grand unified theory of algebra and geometry can be completed, it will have a huge impact not only on mathematics, but also on physics.
And these new methods can be used to solve "old" problems that they could not solve originally.
Just like when analytic geometry was first invented, people combined geometric problems with algebraic problems for the first time through Cartesian coordinates, which directly led to the take-off of a series of sciences and technologies such as astronomy, physics, navigation, engineering, etc. in the sixteenth century.
Even if they have made significant progress, it is too difficult to solve this problem within two months.
"But it may also be the ultimate theory to explain the origin of the universe..."
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
Witten: "How about the manuscript on M theory?"
As a physicist who has won the Fields Medal, he probably knows better than many mathematicians what this project will mean if completed.
The expression on his face was a little subtle. Deligne coughed dryly and said expressionlessly.
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
Not really caring about the old guy Faltings, Witten looked at him and seriously asked the question he was most concerned about.
Witten: "How about the manuscript on M theory?"
"Okay, let's change it... When I was cleaning up the house some time ago, I dug out a lot of notes that I took when I was studying topology. There may be some very useful things in there that I didn't have time to sort out. In short, there are probably It’s as thick as ten volumes of quantum physics.”
"I'm almost in a coffin and still can't forget my collection... So, what are you going to use as a bet?"
"I remember that the manuscript of Lu Zhou's graduation thesis is here with you, the one about Goldbach's conjecture," Professor Witten continued with a smile, "Last time I went to Flint Library to borrow his manuscript on the study of the 750Gev energy region. On a whim, I looked through his past research results, but I couldn't find the one about Goldbach-Lu's theorem. I guess it should be with you."
Professor Witten smiled and said, "Why not? I always think he will bring us a surprise."
Noticing Witten's curious look at the paper in his hand, Deligne pushed up the glasses on the bridge of his nose, and the corners of his normally calm mouth suddenly revealed a rare smile.
And mathematics will also enter a new era.
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
"Do you think he can succeed?"
The expression on his face was a little subtle. Deligne coughed dryly and said expressionlessly.
And these new methods can be used to solve "old" problems that they could not solve originally.
"Personally, it's just a matter of time," Deligne thought for a moment and said, pushing up the glasses on the bridge of his nose with his skinny index finger, "Maybe he's guilty of empiricism, but I always feel that the world wouldn't be able to solve the problem without him. The problem."
"you sure?"
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
His expression seemed a little difficult to decide. He frowned and thought for a while, but soon the frown relaxed.
It seemed that he felt that this statement was not accurate enough. After a while, he added another sentence.
And these new methods can be used to solve "old" problems that they could not solve originally.
Institute for Advanced Study in Princeton.
Even if they have made significant progress, it is too difficult to solve this problem within two months.
"If this problem really belongs to this era and has a solution."
Old methods will be unified.
"I remember that the manuscript of Lu Zhou's graduation thesis is here with you, the one about Goldbach's conjecture," Professor Witten continued with a smile, "Last time I went to Flint Library to borrow his manuscript on the study of the 750Gev energy region. On a whim, I looked through his past research results, but I couldn't find the one about Goldbach-Lu's theorem. I guess it should be with you."
"It seems that you have a high opinion of him," Witten smiled and said, "Let's make a bet. Do you think he will solve this problem before the first experiment of the Lunar Hadron Collider? , still after the first experiment.”
Deligne asked casually without much concern: "Oh, it seems your theory is hopefully verified?"
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
Even if they have made significant progress, it is too difficult to solve this problem within two months.
Hearing these words, Deligne was stunned for a moment, as if he didn't expect that his old friend would ask such a strange question.
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
"I'm almost in a coffin and still can't forget my collection... So, what are you going to use as a bet?"
"make a deal!"
"This is too exaggerated... When did he start studying this topic?"
His expression seemed a little difficult to decide. He frowned and thought for a while, but soon the frown relaxed.
"If this problem really belongs to this era and has a solution."
"Regarding the proof of the Beilinson-Bloch conjecture...it seems that their research has made progress."
…
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
It seemed that he felt that this statement was not accurate enough. After a while, he added another sentence.
Witten: "Then I'll bet before then."
"... If the first experiment is in December, I think it should be later."
Witten: "Whose research are you referring to?"
After all, there are only less than two months left until December.
"If this problem really belongs to this era and has a solution."
As a physicist who has won the Fields Medal, he probably knows better than many mathematicians what this project will mean if completed.
Cafe on the first floor.
The expression on his face was a little subtle. Deligne coughed dryly and said expressionlessly.
"But it may also be the ultimate theory to explain the origin of the universe..."
After all, there are only less than two months left until December.
"If this problem really belongs to this era and has a solution."
"This is too exaggerated... When did he start studying this topic?"
Not just because of the Beilinson-Bloch conjecture itself.
"Lu Zhou and his grand unification of algebra and geometry."
Even if they have made significant progress, it is too difficult to solve this problem within two months.
"I remember that the manuscript of Lu Zhou's graduation thesis is here with you, the one about Goldbach's conjecture," Professor Witten continued with a smile, "Last time I went to Flint Library to borrow his manuscript on the study of the 750Gev energy region. On a whim, I looked through his past research results, but I couldn't find the one about Goldbach-Lu's theorem. I guess it should be with you."
As a physicist who has won the Fields Medal, he probably knows better than many mathematicians what this project will mean if completed.
It seemed that he felt that this statement was not accurate enough. After a while, he added another sentence.
Witten: "Then I'll bet before then."
Topology is probably the field that Witten is best at.
After all, there are only less than two months left until December.
"It seems that you have a high opinion of him," Witten smiled and said, "Let's make a bet. Do you think he will solve this problem before the first experiment of the Lunar Hadron Collider? , still after the first experiment.”
Cafe on the first floor.
Sitting by the window, Witten, drinking coffee, was chatting with Professor Deligne, who was holding a printed paper in his hand.
Professor Deligne raised his eyebrows.
"The Lunar Hadron Collider has been completed. It is said that the first test will start in December. I guess I will have to go on a long trip by then."
What's more, the person who solved this problem was Professor Lu who announced the proof of the Riemann Hypothesis at this year's International Congress of Mathematicians...
"you sure?"
Noticing Witten's curious look at the paper in his hand, Deligne pushed up the glasses on the bridge of his nose, and the corners of his normally calm mouth suddenly revealed a rare smile.
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
"This is too exaggerated... When did he start studying this topic?"
"... If the first experiment is in December, I think it should be later."
While the paper is entering the review process, the relevant preprints are also posted on Arxiv.
Noticing Witten's curious look at the paper in his hand, Deligne pushed up the glasses on the bridge of his nose, and the corners of his normally calm mouth suddenly revealed a rare smile.
His expression seemed a little difficult to decide. He frowned and thought for a while, but soon the frown relaxed.
"Regarding the proof of the Beilinson-Bloch conjecture...it seems that their research has made progress."
Professor Witten smiled and said, "Why not? I always think he will bring us a surprise."
"The Lunar Hadron Collider has been completed. It is said that the first test will start in December. I guess I will have to go on a long trip by then."
And these new methods can be used to solve "old" problems that they could not solve originally.
Just like when analytic geometry was first invented, people combined geometric problems with algebraic problems for the first time through Cartesian coordinates, which directly led to the take-off of a series of sciences and technologies such as astronomy, physics, navigation, engineering, etc. in the sixteenth century.
Deligne gave a rare smile and asked in a teasing tone.
Witten: "How about the manuscript on M theory?"
If a grand unified theory of algebra and geometry can be completed, it will have a huge impact not only on mathematics, but also on physics.
If a grand unified theory of algebra and geometry can be completed, it will have a huge impact not only on mathematics, but also on physics.
"I remember that the manuscript of Lu Zhou's graduation thesis is here with you, the one about Goldbach's conjecture," Professor Witten continued with a smile, "Last time I went to Flint Library to borrow his manuscript on the study of the 750Gev energy region. On a whim, I looked through his past research results, but I couldn't find the one about Goldbach-Lu's theorem. I guess it should be with you."
Topology is probably the field that Witten is best at.
"The Lunar Hadron Collider has been completed. It is said that the first test will start in December. I guess I will have to go on a long trip by then."
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
What's more, the person who solved this problem was Professor Lu who announced the proof of the Riemann Hypothesis at this year's International Congress of Mathematicians...
Whether it is condensed matter physics or high-energy physics, the unity of numbers and shapes in an abstract sense will help physicists reveal many things that were originally difficult for them to understand.
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
Witten: "Then I'll bet before then."
Professor Witten smiled and said, "Why not? I always think he will bring us a surprise."
After being silent for a while, Professor Witten sighed softly and said in a teasing tone.
It’s hard to say whether new physics will be born, but new methods will definitely be born.
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
…
"... If the first experiment is in December, I think it should be later."
And these new methods can be used to solve "old" problems that they could not solve originally.
Although the Beilinson-Bloch hypothesis is not as famous as the Riemann hypothesis or the Goldbach hypothesis, it is special in that it can connect the higher-order K-group of the elliptic curve E with the number field F and the algebraic and analytic invariants of the elliptic curve E. significance, but it has given it an unusual status in the fields of algebraic geometry and number theory.
One of the big reasons why he won the Fields Medal in 1990 was because of his research on low-dimensional topological structures and his derivation of quantum invariants.
"If this problem really belongs to this era and has a solution."
"Then what do you think would be a good bet?"
Deligne gave a rare smile and asked in a teasing tone.
Professor Witten smiled and said, "Why not? I always think he will bring us a surprise."
"I remember that the manuscript of Lu Zhou's graduation thesis is here with you, the one about Goldbach's conjecture," Professor Witten continued with a smile, "Last time I went to Flint Library to borrow his manuscript on the study of the 750Gev energy region. On a whim, I looked through his past research results, but I couldn't find the one about Goldbach-Lu's theorem. I guess it should be with you."
"Then what do you think would be a good bet?"
"If this problem really belongs to this era and has a solution."
As algebraic geometry is the branch with the largest number of researchers and the most influential influence in the field of contemporary pure mathematics, this preprint immediately attracted considerable attention after it was posted.
And mathematics will also enter a new era.
Not just because of the Beilinson-Bloch conjecture itself.
"It's too far away, but it's good news for the Standard Model. We can more deeply reveal the secrets of the microscopic world and the universe we live in... Speaking of which, what are you looking at?"
Sir Attiyah once commented that his attainments in mathematics have surpassed many scholars who are actually engaged in research in this field, and his excellent physical knowledge has provided a rich source of inspiration and intuition for the study of mathematics. There is even a saying that the reason why Sir Attiya suddenly started studying physics in his later years was largely because of Witten.
"I'm almost in a coffin and still can't forget my collection... So, what are you going to use as a bet?"
"I remember that the manuscript of Lu Zhou's graduation thesis is here with you, the one about Goldbach's conjecture," Professor Witten continued with a smile, "Last time I went to Flint Library to borrow his manuscript on the study of the 750Gev energy region. On a whim, I looked through his past research results, but I couldn't find the one about Goldbach-Lu's theorem. I guess it should be with you."
If a grand unified theory of algebra and geometry can be completed, it will have a huge impact not only on mathematics, but also on physics.
Professor Deligne raised his eyebrows.
And mathematics will also enter a new era.
It seemed that he felt that this statement was not accurate enough. After a while, he added another sentence.
Cafe on the first floor.
…
Not just because of the Beilinson-Bloch conjecture itself.
The expression on his face was a little subtle. Deligne coughed dryly and said expressionlessly.
After hearing this, Witten took a sip of coffee and shook his head with a smile.
Sitting by the window, Witten, drinking coffee, was chatting with Professor Deligne, who was holding a printed paper in his hand.
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
"It seems that you have a high opinion of him," Witten smiled and said, "Let's make a bet. Do you think he will solve this problem before the first experiment of the Lunar Hadron Collider? , still after the first experiment.”
"But it may also be the ultimate theory to explain the origin of the universe..."
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
"I'm almost in a coffin and still can't forget my collection... So, what are you going to use as a bet?"
"If this problem really belongs to this era and has a solution."
…
After all, there are only less than two months left until December.
Sitting by the window, Witten, drinking coffee, was chatting with Professor Deligne, who was holding a printed paper in his hand.
Witten: "How about the manuscript on M theory?"
Old methods will be unified.
"It seems that I can hardly keep up with this era."
Sir Attiyah once commented that his attainments in mathematics have surpassed many scholars who are actually engaged in research in this field, and his excellent physical knowledge has provided a rich source of inspiration and intuition for the study of mathematics. There is even a saying that the reason why Sir Attiya suddenly started studying physics in his later years was largely because of Witten.
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
"If this problem really belongs to this era and has a solution."
"After solving the Riemann Hypothesis, but maybe before studying the Riemann Hypothesis, he started thinking about this problem... "
One of the big reasons why he won the Fields Medal in 1990 was because of his research on low-dimensional topological structures and his derivation of quantum invariants.
Giving him a sideways glance, Professor Deligne said unceremoniously: "Are you embarrassed to bet on something that may one day be proven wrong?"
"This is too exaggerated... When did he start studying this topic?"
"make a deal!"
Deligne gave a rare smile and asked in a teasing tone.
"But it may also be the ultimate theory to explain the origin of the universe..."
We have already asked our partners for their opinions, and Lu Zhou published his paper on the proof of the Beilinson-Bloch conjecture in "Future Mathematics" as usual.
Professor Witten smiled and said, "Why not? I always think he will bring us a surprise."
Seeing Professor Deligne's unchanging expression, Witten sighed, made a helpless expression on his face, and finally gave up the argument.
Cafe on the first floor.
"But it may also be the ultimate theory to explain the origin of the universe..."
"make a deal!"
"Lu Zhou and his grand unification of algebra and geometry."
"Lu Zhou and his grand unification of algebra and geometry."
"It seems that you have a high opinion of him," Witten smiled and said, "Let's make a bet. Do you think he will solve this problem before the first experiment of the Lunar Hadron Collider? , still after the first experiment.”
Witten: "How about the manuscript on M theory?"
"Okay, let's change it... When I was cleaning up the house some time ago, I dug out a lot of notes that I took when I was studying topology. There may be some very useful things in there that I didn't have time to sort out. In short, there are probably It’s as thick as ten volumes of quantum physics.”
Upon hearing this astonishing proposition, Professor Witten was slightly stunned for a moment, and then spoke after a long while.
Witten: "How about the manuscript on M theory?"
"The Lunar Hadron Collider has been completed. It is said that the first test will start in December. I guess I will have to go on a long trip by then."
Witten: "Whose research are you referring to?"
Not really caring about the old guy Faltings, Witten looked at him and seriously asked the question he was most concerned about.
Not really caring about the old guy Faltings, Witten looked at him and seriously asked the question he was most concerned about.
…
Sitting by the window, Witten, drinking coffee, was chatting with Professor Deligne, who was holding a printed paper in his hand.
Topology is probably the field that Witten is best at.
Deligne gave a rare smile and asked in a teasing tone.
Witten: "Whose research are you referring to?"
Turning a page of the paper in his hand, Professor Deligne continued, "In fact, it is not just him, including me and my supervisor. Anyone who has made achievements in the field of algebraic geometry will think about this question. Is there an elegant and elegant way? A very beautiful mathematical method can transform algebraic problems into geometric problems. If this can succeed, even if it just proves that this path is feasible, we can all benefit a lot from it."
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
After all, there are only less than two months left until December.
One of the big reasons why he won the Fields Medal in 1990 was because of his research on low-dimensional topological structures and his derivation of quantum invariants.
Seeing Professor Deligne's unchanging expression, Witten sighed, made a helpless expression on his face, and finally gave up the argument.
"Okay, let's change it... When I was cleaning up the house some time ago, I dug out a lot of notes that I took when I was studying topology. There may be some very useful things in there that I didn't have time to sort out. In short, there are probably It’s as thick as ten volumes of quantum physics.”
Sir Attiyah once commented that his attainments in mathematics have surpassed many scholars who are actually engaged in research in this field, and his excellent physical knowledge has provided a rich source of inspiration and intuition for the study of mathematics. There is even a saying that the reason why Sir Attiya suddenly started studying physics in his later years was largely because of Witten.
Topology is probably the field that Witten is best at.
Witten: "How about the manuscript on M theory?"
Giving him a sideways glance, Professor Deligne said unceremoniously: "Are you embarrassed to bet on something that may one day be proven wrong?"
Hearing these words, Deligne was stunned for a moment, as if he didn't expect that his old friend would ask such a strange question.
"It seems that you have a high opinion of him," Witten smiled and said, "Let's make a bet. Do you think he will solve this problem before the first experiment of the Lunar Hadron Collider? , still after the first experiment.”
Deligne gave a rare smile and asked in a teasing tone.
Regardless of whether these topological research manuscripts have collection significance, there is no doubt about their academic value.
"It seems that I can hardly keep up with this era."
It seemed that he felt that this statement was not accurate enough. After a while, he added another sentence.
…
"I remember that the manuscript of Lu Zhou's graduation thesis is here with you, the one about Goldbach's conjecture," Professor Witten continued with a smile, "Last time I went to Flint Library to borrow his manuscript on the study of the 750Gev energy region. On a whim, I looked through his past research results, but I couldn't find the one about Goldbach-Lu's theorem. I guess it should be with you."
Seeing Professor Deligne's unchanging expression, Witten sighed, made a helpless expression on his face, and finally gave up the argument.
It was precisely because of this that Professor Deligne only hesitated for a few seconds before extending his right hand without saying a word.
"Personally, it's just a matter of time," Deligne thought for a moment and said, pushing up the glasses on the bridge of his nose with his skinny index finger, "Maybe he's guilty of empiricism, but I always feel that the world wouldn't be able to solve the problem without him. The problem."
Regardless of whether these topological research manuscripts have collection significance, there is no doubt about their academic value.
It’s hard to say whether new physics will be born, but new methods will definitely be born.
Witten: "Whose research are you referring to?"
"If this problem really belongs to this era and has a solution."
"make a deal!"
Even if they have made significant progress, it is too difficult to solve this problem within two months.
"This is too exaggerated... When did he start studying this topic?"
Deligne: "It's nothing, it's just that you didn't pay attention to this direction. I was surprised when I first heard that he started to study this topic, especially now, he has actually made some preliminary results, and even I deceived that old guy Faltings from Germany. In my impression, after two thousand years, he rarely left the Max Planck Institute to work as a visiting scholar elsewhere."
Giving him a sideways glance, Professor Deligne said unceremoniously: "Are you embarrassed to bet on something that may one day be proven wrong?"
Topology is probably the field that Witten is best at.
After hearing this, Witten took a sip of coffee and shook his head with a smile.
"Lu Zhou and his grand unification of algebra and geometry."
Professor Deligne raised his eyebrows.
…
"This is too exaggerated... When did he start studying this topic?"
Even if they have made significant progress, it is too difficult to solve this problem within two months.
As algebraic geometry is the branch with the largest number of researchers and the most influential influence in the field of contemporary pure mathematics, this preprint immediately attracted considerable attention after it was posted.
"Okay, let's change it... When I was cleaning up the house some time ago, I dug out a lot of notes that I took when I was studying topology. There may be some very useful things in there that I didn't have time to sort out. In short, there are probably It’s as thick as ten volumes of quantum physics.”