End of April.
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
Fefferman: "Yes."
[…]
[This is crazy!]
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
But regarding the proposition of the Yang-Mills equation, few people have achieved such critical results in this field.
After all, the 21st century has just begun.
Something big is happening in academia.
Something big is happening in academia.
[I heard about it this morning, but the matter has not been finalized yet.]
Fefferman smiled and said, "Just ask."
At the same time, in an interview with a reporter from Science magazine, Professor Fefferman, the reviewer of the paper, gave quite high praise to the mathematical methods used in this paper.
In the latest issue of "Annals of Mathematics", a full forty pages were used to publish a paper on the existence proof of the solution to the Yang-Mills equation.
Reporter: "The last question may have nothing to do with the Yang-Mills equation itself... Of course, you don't have to express your opinion."
This is a difficult question.
Even though most people don't even know how to write the Yang-Mills equation, they are not unfamiliar with the Millennium Problem.
Fefferman: "Yes, and I believe that anyone who really understands that paper will have the same idea as me."
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
[Can it be published in the "Annual Review of Mathematics"? Isn't it a conclusion? The reviewer is Charles Fefferman!]
Reporter: "But some people commented that when he proved the existence of the solution to the Yang-Mills equation, he did not create new mathematical tools based on it, but just reused the mathematical tools created when solving the NS equation... I would like to ask you What do you think of this view?”
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
Reporter: "But some people commented that when he proved the existence of the solution to the Yang-Mills equation, he did not create new mathematical tools based on it, but just reused the mathematical tools created when solving the NS equation... I would like to ask you What do you think of this view?”
Because the impact of this incident is so significant, even "Nature", which rarely pays attention to research progress in the field of mathematics, excerpted 200 words of the abstract of this paper and set a "Highlight" on it in a new issue of the publication , and some excerpts are displayed on the cover.
[During this period, controllable fusion was also solved?]
[During this period, controllable fusion was also solved?]
Reporter: “Is it that magical L-manifold?”
Fefferman: "Yes."
On the internationally renowned mathematics forum MathOverflow, discussions about this matter have exploded.
This is a difficult question.
End of April.
In the latest issue of "Annals of Mathematics", a full forty pages were used to publish a paper on the existence proof of the solution to the Yang-Mills equation.
[During this period, controllable fusion was also solved?]
[Have you heard about it? The existence of solutions to the Yang-Mills equation has been proven! ?]
The last time there was such a level of discussion was back two years ago, when Sir Attiyah and his five-page paper...
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
Because the impact of this incident is so significant, even "Nature", which rarely pays attention to research progress in the field of mathematics, excerpted 200 words of the abstract of this paper and set a "Highlight" on it in a new issue of the publication , and some excerpts are displayed on the cover.
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
Because the impact of this incident is so significant, even "Nature", which rarely pays attention to research progress in the field of mathematics, excerpted 200 words of the abstract of this paper and set a "Highlight" on it in a new issue of the publication , and some excerpts are displayed on the cover.
[I heard about it this morning, but the matter has not been finalized yet.]
Because many new generation mathematicians, including Terence Tao and Schultz, have registered their own accounts on this website, the popularity of topics on MathOverflow can basically reflect the reaction caused by an incident in the mathematics community. What a sensation.
[Have you heard about it? The existence of solutions to the Yang-Mills equation has been proven! ?]
The last time there was such a level of discussion was back two years ago, when Sir Attiyah and his five-page paper...
Hot discussions don’t just happen in professional academic forums.
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
[Can it be published in the "Annual Review of Mathematics"? Isn't it a conclusion? The reviewer is Charles Fefferman!]
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
In the latest issue of "Annals of Mathematics", a full forty pages were used to publish a paper on the existence proof of the solution to the Yang-Mills equation.
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
On the internationally renowned mathematics forum MathOverflow, discussions about this matter have exploded.
Reporter: “Is it that magical L-manifold?”
After all, the 21st century has just begun.
In the latest issue of "Annals of Mathematics", a full forty pages were used to publish a paper on the existence proof of the solution to the Yang-Mills equation.
Because many new generation mathematicians, including Terence Tao and Schultz, have registered their own accounts on this website, the popularity of topics on MathOverflow can basically reflect the reaction caused by an incident in the mathematics community. What a sensation.
Fefferman: "I think this view is not objective. The value of a mathematical conjecture does not necessarily have to be the creation of a new mathematical tool. It can also be the improvement of existing mathematical tools, or even just a new mathematical tool. Abstract mathematical ideas.”
On the internationally renowned mathematics forum MathOverflow, discussions about this matter have exploded.
The last time there was such a level of discussion was back two years ago, when Sir Attiyah and his five-page paper...
[…]
Reporter: "Do you think he has the potential to become the greatest mathematician of this century?"
Hot discussions don’t just happen in professional academic forums.
End of April.
Because many new generation mathematicians, including Terence Tao and Schultz, have registered their own accounts on this website, the popularity of topics on MathOverflow can basically reflect the reaction caused by an incident in the mathematics community. What a sensation.
Reporter: "The last question may have nothing to do with the Yang-Mills equation itself... Of course, you don't have to express your opinion."
Something big is happening in academia.
Because the impact of this incident is so significant, even "Nature", which rarely pays attention to research progress in the field of mathematics, excerpted 200 words of the abstract of this paper and set a "Highlight" on it in a new issue of the publication , and some excerpts are displayed on the cover.
End of April.
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
Almost on the second day after the paper came out, relevant news appeared on the top push pages of various news networks, and attracted countless people to watch.
Even though most people don't even know how to write the Yang-Mills equation, they are not unfamiliar with the Millennium Problem.
[Haha, maybe it’s the mysterious power from the East?]
In the latest issue of "Annals of Mathematics", a full forty pages were used to publish a paper on the existence proof of the solution to the Yang-Mills equation.
Almost on the second day after the paper came out, relevant news appeared on the top push pages of various news networks, and attracted countless people to watch.
[Lu Zhou? Who is the author of the paper, Lu Zhou? If I remember correctly, just two years ago he solved a world-class mathematical problem!]
Something big is happening in academia.
[It’s an NS equation! One of the Seven Millennium Problems! I still remember his report at the International Congress of Mathematicians in Rio that year!]
Compared with the rational discussions on MathOverflo, the reactions of netizens on Twitter and Facebook were more emotional.
On the internationally renowned mathematics forum MathOverflow, discussions about this matter have exploded.
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
At the same time, in an interview with a reporter from Science magazine, Professor Fefferman, the reviewer of the paper, gave quite high praise to the mathematical methods used in this paper.
Hot discussions don’t just happen in professional academic forums.
Reporter: "Do you think he has the potential to become the greatest mathematician of this century?"
[…]
Reporter: "So, you think highly of his work?"
[This is crazy!]
[Lu Zhou? Who is the author of the paper, Lu Zhou? If I remember correctly, just two years ago he solved a world-class mathematical problem!]
Although since the announcement of the seven millennium problems, there have been many challengers.
Reporter: “Do you think he strengthened the theory of L-manifold based on this?”
[Haha, maybe it’s the mysterious power from the East?]
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
If it can be proved through mathematical methods that the solution to the Yang-Mills equation exists, then the day when we can find out what the general solution is is not too far away.
Reporter: "The last question may have nothing to do with the Yang-Mills equation itself... Of course, you don't have to express your opinion."
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
[It’s an NS equation! One of the Seven Millennium Problems! I still remember his report at the International Congress of Mathematicians in Rio that year!]
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
Fefferman: "This question is very simple. You can't expect a theory that was born less than two years ago to immediately become the mainstream in the academic world. Even Grothendieck couldn't do it. If you don't study it in depth, even if you learn to use it, It also takes a certain amount of time... What's more, this method has certain thresholds."
"Very few people can reach the ultimate level in more than three fields of mathematics at the same time. And he not only achieved this, but also integrated three completely different directions: partial differential equations, differential geometry, and topology. Together, a new mathematical method was derived based on this."
[Challenging two Millennium Problems in a row, with less than two years between them... God, how did he do it?]
In the latest issue of "Annals of Mathematics", a full forty pages were used to publish a paper on the existence proof of the solution to the Yang-Mills equation.
Even though most people don't even know how to write the Yang-Mills equation, they are not unfamiliar with the Millennium Problem.
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
[During this period, controllable fusion was also solved?]
[This is crazy!]
[It’s an NS equation! One of the Seven Millennium Problems! I still remember his report at the International Congress of Mathematicians in Rio that year!]
After all, the 21st century has just begun.
[Challenging two Millennium Problems in a row, with less than two years between them... God, how did he do it?]
Although since the announcement of the seven millennium problems, there have been many challengers.
In the latest issue of "Annals of Mathematics", a full forty pages were used to publish a paper on the existence proof of the solution to the Yang-Mills equation.
Fefferman shrugged: "It's like making an auxiliary line on an irregular figure. After a special change, the originally complicated things can become clear at a glance."
Fefferman: "I think this view is not objective. The value of a mathematical conjecture does not necessarily have to be the creation of a new mathematical tool. It can also be the improvement of existing mathematical tools, or even just a new mathematical tool. Abstract mathematical ideas.”
[Haha, maybe it’s the mysterious power from the East?]
[Have you heard about it? The existence of solutions to the Yang-Mills equation has been proven! ?]
Reporter: "Do you think he has the potential to become the greatest mathematician of this century?"
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
[During this period, controllable fusion was also solved?]
The last time there was such a level of discussion was back two years ago, when Sir Attiyah and his five-page paper...
[This is crazy!]
[Can it be published in the "Annual Review of Mathematics"? Isn't it a conclusion? The reviewer is Charles Fefferman!]
On the internationally renowned mathematics forum MathOverflow, discussions about this matter have exploded.
[This is crazy!]
[…]
[Lu Zhou? Who is the author of the paper, Lu Zhou? If I remember correctly, just two years ago he solved a world-class mathematical problem!]
[I heard about it this morning, but the matter has not been finalized yet.]
[I heard about it this morning, but the matter has not been finalized yet.]
Fefferman shrugged: "It's like making an auxiliary line on an irregular figure. After a special change, the originally complicated things can become clear at a glance."
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
[Haha, maybe it’s the mysterious power from the East?]
[…]
If it can be proved through mathematical methods that the solution to the Yang-Mills equation exists, then the day when we can find out what the general solution is is not too far away.
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
Because many new generation mathematicians, including Terence Tao and Schultz, have registered their own accounts on this website, the popularity of topics on MathOverflow can basically reflect the reaction caused by an incident in the mathematics community. What a sensation.
Although since the announcement of the seven millennium problems, there have been many challengers.
Almost on the second day after the paper came out, relevant news appeared on the top push pages of various news networks, and attracted countless people to watch.
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
[Lu Zhou? Who is the author of the paper, Lu Zhou? If I remember correctly, just two years ago he solved a world-class mathematical problem!]
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
"Very few people can reach the ultimate level in more than three fields of mathematics at the same time. And he not only achieved this, but also integrated three completely different directions: partial differential equations, differential geometry, and topology. Together, a new mathematical method was derived based on this."
But regarding the proposition of the Yang-Mills equation, few people have achieved such critical results in this field.
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
At the same time, in an interview with a reporter from Science magazine, Professor Fefferman, the reviewer of the paper, gave quite high praise to the mathematical methods used in this paper.
[This is crazy!]
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
If it can be proved through mathematical methods that the solution to the Yang-Mills equation exists, then the day when we can find out what the general solution is is not too far away.
Although since the announcement of the seven millennium problems, there have been many challengers.
At this point, he paused.
Because the impact of this incident is so significant, even "Nature", which rarely pays attention to research progress in the field of mathematics, excerpted 200 words of the abstract of this paper and set a "Highlight" on it in a new issue of the publication , and some excerpts are displayed on the cover.
"Very few people can reach the ultimate level in more than three fields of mathematics at the same time. And he not only achieved this, but also integrated three completely different directions: partial differential equations, differential geometry, and topology. Together, a new mathematical method was derived based on this."
[Have you heard about it? The existence of solutions to the Yang-Mills equation has been proven! ?]
[It’s an NS equation! One of the Seven Millennium Problems! I still remember his report at the International Congress of Mathematicians in Rio that year!]
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
[Haha, maybe it’s the mysterious power from the East?]
At the same time, in an interview with a reporter from Science magazine, Professor Fefferman, the reviewer of the paper, gave quite high praise to the mathematical methods used in this paper.
[Lu Zhou? Who is the author of the paper, Lu Zhou? If I remember correctly, just two years ago he solved a world-class mathematical problem!]
Fefferman smiled and said, "Just ask."
"Very few people can reach the ultimate level in more than three fields of mathematics at the same time. And he not only achieved this, but also integrated three completely different directions: partial differential equations, differential geometry, and topology. Together, a new mathematical method was derived based on this."
[…]
Something big is happening in academia.
Reporter: "So, you think highly of his work?"
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
Reporter: “Do you think he strengthened the theory of L-manifold based on this?”
Reporter: “Is it that magical L-manifold?”
Fefferman: "I think this view is not objective. The value of a mathematical conjecture does not necessarily have to be the creation of a new mathematical tool. It can also be the improvement of existing mathematical tools, or even just a new mathematical tool. Abstract mathematical ideas.”
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
Fefferman smiled and said, "Just ask."
Hot discussions don’t just happen in professional academic forums.
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
This is a difficult question.
Reporter: "This is too abstract. Can you be more specific?"
Fefferman: "Yes."
Reporter: "Do you think he has the potential to become the greatest mathematician of this century?"
Because many new generation mathematicians, including Terence Tao and Schultz, have registered their own accounts on this website, the popularity of topics on MathOverflow can basically reflect the reaction caused by an incident in the mathematics community. What a sensation.
Fefferman shrugged: "It's like making an auxiliary line on an irregular figure. After a special change, the originally complicated things can become clear at a glance."
Fefferman smiled and said, "Just ask."
Reporter: "The last question may have nothing to do with the Yang-Mills equation itself... Of course, you don't have to express your opinion."
This is a difficult question.
Reporter: "But some people commented that when he proved the existence of the solution to the Yang-Mills equation, he did not create new mathematical tools based on it, but just reused the mathematical tools created when solving the NS equation... I would like to ask you What do you think of this view?”
Fefferman: "I think this view is not objective. The value of a mathematical conjecture does not necessarily have to be the creation of a new mathematical tool. It can also be the improvement of existing mathematical tools, or even just a new mathematical tool. Abstract mathematical ideas.”
Reporter: "This is too abstract. Can you be more specific?"
On the internationally renowned mathematics forum MathOverflow, discussions about this matter have exploded.
After all, the 21st century has just begun.
Because the impact of this incident is so significant, even "Nature", which rarely pays attention to research progress in the field of mathematics, excerpted 200 words of the abstract of this paper and set a "Highlight" on it in a new issue of the publication , and some excerpts are displayed on the cover.
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
Almost on the second day after the paper came out, relevant news appeared on the top push pages of various news networks, and attracted countless people to watch.
[During this period, controllable fusion was also solved?]
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
If it can be proved through mathematical methods that the solution to the Yang-Mills equation exists, then the day when we can find out what the general solution is is not too far away.
[I heard about it this morning, but the matter has not been finalized yet.]
Reporter: “Do you think he strengthened the theory of L-manifold based on this?”
The last time there was such a level of discussion was back two years ago, when Sir Attiyah and his five-page paper...
If this paper only uses mathematical language to tell people that the general solution to the Yang-Mills equation exists, but cannot pave the way for finding this general solution, then even if it is also considered an outstanding achievement, it will be difficult to achieve outstanding results. level.
After all, the 21st century has just begun.
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
"By introducing the method of L-manifold, he successfully built a bridge between partial differential equations and differential geometry, and introduced the ideas and methods of topology. If I were to describe it in non-professional language, he The approach is to make the equation no longer a pure equation, but a geometry that exists in a special space."
[During this period, controllable fusion was also solved?]
[Haha, maybe it’s the mysterious power from the East?]
Almost on the second day after the paper came out, relevant news appeared on the top push pages of various news networks, and attracted countless people to watch.
Fefferman: "I think this view is not objective. The value of a mathematical conjecture does not necessarily have to be the creation of a new mathematical tool. It can also be the improvement of existing mathematical tools, or even just a new mathematical tool. Abstract mathematical ideas.”
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
Fefferman smiled and said, "Just ask."
[Challenging two Millennium Problems in a row, with less than two years between them... God, how did he do it?]
Reporter: “Do you think he strengthened the theory of L-manifold based on this?”
Something big is happening in academia.
End of April.
"Very few people can reach the ultimate level in more than three fields of mathematics at the same time. And he not only achieved this, but also integrated three completely different directions: partial differential equations, differential geometry, and topology. Together, a new mathematical method was derived based on this."
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
Although since the announcement of the seven millennium problems, there have been many challengers.
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
[…]
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
Although since the announcement of the seven millennium problems, there have been many challengers.
Reporter: "Do you think he has the potential to become the greatest mathematician of this century?"
Something big is happening in academia.
Fefferman shrugged: "It's like making an auxiliary line on an irregular figure. After a special change, the originally complicated things can become clear at a glance."
Something big is happening in academia.
[…]
"By introducing the method of L-manifold, he successfully built a bridge between partial differential equations and differential geometry, and introduced the ideas and methods of topology. If I were to describe it in non-professional language, he The approach is to make the equation no longer a pure equation, but a geometry that exists in a special space."
Reporter: “Do you think he strengthened the theory of L-manifold based on this?”
If this paper only uses mathematical language to tell people that the general solution to the Yang-Mills equation exists, but cannot pave the way for finding this general solution, then even if it is also considered an outstanding achievement, it will be difficult to achieve outstanding results. level.
Hot discussions don’t just happen in professional academic forums.
[Have you heard about it? The existence of solutions to the Yang-Mills equation has been proven! ?]
At this point, he paused.
Reporter: "The last question may have nothing to do with the Yang-Mills equation itself... Of course, you don't have to express your opinion."
Reporter: "This is too abstract. Can you be more specific?"
If it can be proved through mathematical methods that the solution to the Yang-Mills equation exists, then the day when we can find out what the general solution is is not too far away.
Reporter: “Do you think he strengthened the theory of L-manifold based on this?”
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
"Then there is no doubt, not possibility, that he already is."
Fefferman shrugged: "It's like making an auxiliary line on an irregular figure. After a special change, the originally complicated things can become clear at a glance."
[This is crazy!]
[Can it be published in the "Annual Review of Mathematics"? Isn't it a conclusion? The reviewer is Charles Fefferman!]
[…]
Reporter: "This is too abstract. Can you be more specific?"
Reporter: “Is it that magical L-manifold?”
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
[I heard about it this morning, but the matter has not been finalized yet.]
Reporter: "But some people commented that when he proved the existence of the solution to the Yang-Mills equation, he did not create new mathematical tools based on it, but just reused the mathematical tools created when solving the NS equation... I would like to ask you What do you think of this view?”
End of April.
Although since the announcement of the seven millennium problems, there have been many challengers.
Fefferman: "This question is very simple. You can't expect a theory that was born less than two years ago to immediately become the mainstream in the academic world. Even Grothendieck couldn't do it. If you don't study it in depth, even if you learn to use it, It also takes a certain amount of time... What's more, this method has certain thresholds."
"Then there is no doubt, not possibility, that he already is."
If it can be proved through mathematical methods that the solution to the Yang-Mills equation exists, then the day when we can find out what the general solution is is not too far away.
Fefferman: "Yes, and I believe that anyone who really understands that paper will have the same idea as me."
"By introducing the method of L-manifold, he successfully built a bridge between partial differential equations and differential geometry, and introduced the ideas and methods of topology. If I were to describe it in non-professional language, he The approach is to make the equation no longer a pure equation, but a geometry that exists in a special space."
At this point, he paused.
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
[I haven’t finished reading the paper yet. I don’t know much about the theory of L-manifolds. To understand it, I have to combine it with the paper on L-manifolds that he published in 2018. Then I have to fill in the differential geometry. , headache... In short, even if there are flaws in this kind of big boss's submission, it is not something that ordinary people can find fault with. What the final result will be, let's wait until the report meeting is over.]
Reporter: "So, you think highly of his work?"
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
Something big is happening in academia.
On the internationally renowned mathematics forum MathOverflow, discussions about this matter have exploded.
Fefferman: "Yes, and I believe that anyone who really understands that paper will have the same idea as me."
Reporter: "So, you think highly of his work?"
Fefferman: "Yes, and I believe that anyone who really understands that paper will have the same idea as me."
Reporter: "This is too abstract. Can you be more specific?"
[Challenging two Millennium Problems in a row, with less than two years between them... God, how did he do it?]
[It’s an NS equation! One of the Seven Millennium Problems! I still remember his report at the International Congress of Mathematicians in Rio that year!]
[This is crazy!]
Fefferman smiled and said, "Just ask."
Hot discussions don’t just happen in professional academic forums.
Reporter: "The last question may have nothing to do with the Yang-Mills equation itself... Of course, you don't have to express your opinion."
Fefferman shrugged: "It's like making an auxiliary line on an irregular figure. After a special change, the originally complicated things can become clear at a glance."
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
Fefferman smiled and said, "Just ask."
Fefferman smiled and said, "Just ask."
[Challenging two Millennium Problems in a row, with less than two years between them... God, how did he do it?]
Because many new generation mathematicians, including Terence Tao and Schultz, have registered their own accounts on this website, the popularity of topics on MathOverflow can basically reflect the reaction caused by an incident in the mathematics community. What a sensation.
This is a difficult question.
Reporter: "The last question may have nothing to do with the Yang-Mills equation itself... Of course, you don't have to express your opinion."
At this point, he paused.
Reporter: "Do you think he has the potential to become the greatest mathematician of this century?"
Because many new generation mathematicians, including Terence Tao and Schultz, have registered their own accounts on this website, the popularity of topics on MathOverflow can basically reflect the reaction caused by an incident in the mathematics community. What a sensation.
Fefferman nodded: "That's right. It often takes five or even ten years for a theory to develop from raw to mature, as well as the accumulation of countless mathematical propositions. Few people can develop it in just two years. To do it, but he did it.”
Once the news was confirmed, it immediately caused a sensation in the international mathematics and physics circles.
Something big is happening in academia.
If this paper only uses mathematical language to tell people that the general solution to the Yang-Mills equation exists, but cannot pave the way for finding this general solution, then even if it is also considered an outstanding achievement, it will be difficult to achieve outstanding results. level.
The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving the proposition.
This is a difficult question.
Reporter: “Is it that magical L-manifold?”
Fefferman smiled and said, "Just ask."
After all, the 21st century has just begun.
At this point, he paused.
Fefferman: "Yes."
At the same time, in an interview with a reporter from Science magazine, Professor Fefferman, the reviewer of the paper, gave quite high praise to the mathematical methods used in this paper.
If it can be proved through mathematical methods that the solution to the Yang-Mills equation exists, then the day when we can find out what the general solution is is not too far away.
[It’s an NS equation! One of the Seven Millennium Problems! I still remember his report at the International Congress of Mathematicians in Rio that year!]
Reporter: “Do you think he strengthened the theory of L-manifold based on this?”
Although since the announcement of the seven millennium problems, there have been many challengers.
"By introducing the method of L-manifold, he successfully built a bridge between partial differential equations and differential geometry, and introduced the ideas and methods of topology. If I were to describe it in non-professional language, he The approach is to make the equation no longer a pure equation, but a geometry that exists in a special space."
Under the eager gaze of the reporter, Fefferman thought for a while and then said: "It depends on whether the Riemann Hypothesis can be proven in this century. If not..."
The last time there was such a level of discussion was back two years ago, when Sir Attiyah and his five-page paper...
[This is crazy!]
"Very few people can reach the ultimate level in more than three fields of mathematics at the same time. And he not only achieved this, but also integrated three completely different directions: partial differential equations, differential geometry, and topology. Together, a new mathematical method was derived based on this."
At this point, he paused.
After all, the 21st century has just begun.
[It’s an NS equation! One of the Seven Millennium Problems! I still remember his report at the International Congress of Mathematicians in Rio that year!]
[During this period, controllable fusion was also solved?]
[During this period, controllable fusion was also solved?]
Reporter: "But I noticed that there are very few people following this research on Arxiv. Although this data may not be objective enough, if it is really so effective, why doesn't anyone consider using it."
"Then there is no doubt, not possibility, that he already is."
At this point, he paused.
[Lu Zhou? Who is the author of the paper, Lu Zhou? If I remember correctly, just two years ago he solved a world-class mathematical problem!]