From Almighty Scholar to Chief Scientist
Chapter 297 He Wants to Prove the Hodge Conjecture? !
Chapter 297 He Wants to Prove the Hodge Conjecture? !
After Deligne's voice fell, he sat back safely.
Lin Xiaoze also said with a smile: "Then, this is the end of this report, thank you all, and see you the day after tomorrow."
Afterwards, he packed up his things and left the stage.
In the auditorium, the faces of those who failed to ask the question showed regret. Of course, it was impossible for them to compete with Deligne, so they could only temporarily put aside the questions in their hearts.
However, when they recalled the question Deligne asked just now and Lin Xiao's answer, they were all stunned.
Is Lin Xiao going to extend the Hodge conjecture established in low dimensions to high-dimensional situations in a broad sense?
At present, regarding how many dimensions the Hodge conjecture holds, mathematicians in the past have only studied the fifth dimension, and the establishment of these dimensions mostly requires a lot of assumptions, that is, the so-called preconditions, and even Even the Hodge conjecture in the four-dimensional case is true, and current mathematicians have not yet solved it.
Then, what Lin Xiao wants to solve now is the high-dimensional situation in a broad sense?
Wouldn't that be the same as saying...
Is Lin Xiao going to completely solve Hodge's conjecture?
The mathematicians who came back to their senses all showed shock on their faces.
"Oh! Buy! Karma! He wants to prove Hodge's conjecture?!"
"This... is too unbelievable, right?!"
"I thought he was talking about expanding to high dimensions to solve the problem of Hodge's conjecture in four dimensions. Now tell me, what he is going to solve is the complete Hodge conjecture?"
"Is this...Professor Lin?"
These mathematicians who hadn't guessed what Lin Xiao was going to do before were shocked besides being shocked.
This thing came too suddenly, right? !
The Hodge conjecture, one of the seven major problems of the millennium, is now about to be completely solved?
But mathematicians like Deligne, who had already guessed what Lin Xiao was going to do, could only wonder in their hearts.
Sure enough, Lin Xiao was aiming at Hodge's conjecture.
Although they don't know if Lin Xiao can really do it, but recalling Lin Xiao's past achievements, they have nothing but belief in their hearts.
Of course, after thinking of this, all of them picked up their mobile phones at the same time, started calling their friends who didn't come to the mathematicians conference, and said, "Dude, don't you want to miss the fact that the Hodge conjecture was discovered?" That historic moment of proof?"
Obviously, no one wants to miss such an important moment.
As one of the greatest conjectures in algebraic geometry, one of the greatest conjectures in the mathematics world, and one of the major issues that can make great contributions to the unification of mathematics, the Hodge Conjecture Proof Report Conference can definitely be regarded as the first in the mathematics world. a feast.
Regardless of whether they are mathematicians who study algebraic geometry and algebraic topology, I believe they will not want to miss this kind of time.
Just like when Andrew Wiles proved Fermat's Last Theorem, his third lecture was completely packed with people.
So, these mathematicians called their friends, and those mathematicians who didn't come to the scene, naturally all couldn't wait to book plane tickets, and started to come here.
On the other side, Carlos Keenig, the chairman of the International Mathematical Union, was already wide-eyed at this time, and his heart was full of excitement.
"Professor Lin...Professor Lin... What he wants to solve is Hodge's conjecture? Is this the miracle he told me?"
Of course, he was the most excited about this matter. When he was the chairman of the International Mathematical Union, he was able to witness such an important historic moment in the proof of a conjecture. How could he not be excited?
However, probably because he was too excited, his face suddenly turned pale, and then he took a few breaths violently. The person next to him quickly patted his back and asked in shock, "What's wrong with you?"
And Carlos Keenig slowed down for a while, and finally felt better, and then said: "It's okay, but there is something wrong with the body."
Then he realized something, and said, "Go and see, can you give him more time for Professor Lin's lecture the day after tomorrow? There must be more time! This is Hodge's conjecture! Go to the organizing committee!"
Hearing this, the people next to him also reacted immediately.
That's right!
This is the proof of Hodge's conjecture!
Fields lecture is only one hour, and how can a one-hour report be worthy of the proof of Hodge's conjecture?
At least two or three hours.
After all, there is a high probability that it will take some time just for the questioning session.
So soon, they determined that Lin Xiao's Fields lecture schedule would be from [-]:[-] p.m. all will do.
Then, in less than an hour, the organizing committee of this conference announced a notice: [In view of the fact that Professor Lin Xiao will give an important sharing about Hodge’s conjecture at the Fields Lecture the day after tomorrow, the organizing committee decided to send Lin Xiao Professor Fields' lecture will be extended for one hour, and the time is currently planned to be from 7:9 to [-]:[-] pm on July [-]th. If you are interested, you can participate in it. 】
However, not long after this notification ended, the organizing committee of the conference announced another notification: [The date of Professor Lin Xiao’s Fields Lecture has been changed, and the scheduled time is 7 am on July 10. 】
The original July 7th was a free day, that is, there was no plan on this day, and it was a day for all participants to rest. The schedule of the International Conference of Mathematicians is very tight, so there will usually be such free day.
But now, they have postponed Lin Xiao's speech to this day because too many mathematicians have sent them emails, saying that they also want to see the report, and hope that the organizing committee can coordinate the time .
Otherwise, there is only one day in between, and it is really inconvenient for them to come here.
So the organizing committee of the conference negotiated with Lin Xiao and postponed the time by one day. It just so happened that this day was also free time, and everyone was most awake in the morning, so it happened to let Lin Xiao make a report.
In this way, Lin Xiao is probably the only one who asked the organizing committee to adjust the time of his reports at the two International Congresses of Mathematicians.
At the 2018 International Congress of Mathematicians, Lin Xiao's 45-minute report was adjusted to a one-hour report, and this year's Fields Lecture in 2022 was also adjusted to a report that can last at least two hours.
He also couldn't laugh or cry about this. Of course, all he needs to do is to cultivate his spirit and prepare for the report in a few days.
……
In the following time, this matter was quickly spread, and then the entire mathematics world was shocked.
what?
Lin Xiao is going to prove Hodge's conjecture at the International Congress of Mathematicians?
And this matter has also been certified by a top mathematician.
Ever since, the world of mathematics, which was proved at the beginning of the year because of Lin's conjecture, once again fell into a boil, and it was even more exciting than the proof of Lin's conjecture.
The Hodge conjecture, one of the seven great problems of the millennium, will be proved, and no mathematician will not be excited.
If Goldbach's conjecture is the jewel in the crown of number theory, then Hodge's conjecture is the jewel in the crown of mathematics.
After all, compared to the genius game of mathematics such as number theory, algebraic geometry can be regarded as an important link of mathematics, and Hodge's conjecture is like this.
Of course, if any mathematician announces that he has proved the Hodge conjecture, no one will care, because the academic world pays attention to a credit, which is the so-called academic credit.
Just like Minke, why no one believed them before they announced that they had proved an important conjecture. First of all, it was because, before proving an important conjecture, the prover must have had some results. With credit, otherwise, if an unknown person publishes an important conclusion, obviously no one will read it.
As for why Perelman announced that he had proved the Poincaré conjecture, he was able to directly receive the attention of the academic community. This is because he was the one who rejected the EMS award in 1996, and he also accepted it as early as 1994. The only award he accepted was the St. Petersburg Mathematical Society Award in 1991-after all, he lives in St. Petersburg.
Therefore, just because Lin Xiao's "academic credit" is considered first-class in the world, people generally believe that he really proved the Hodge conjecture.
Including the country of China, this matter has already spread.
In fact, Lin Xiao's name was already on the hot search list before this matter reached Huaguo.
Because on July 7, when Lin Xiao won the Fields Medal, the country was already boiling, and various official media, including CCTV News, broadcast the news serially, so he had long been on the hot search list, and has been did not come down.
No one in Huaguo had ever received a Fields Medal before, so the Fields Medal was not very well-known in Huaguo, basically only the Nobel Prize was known, but now Lin Xiao brought back the Fields Medal, Coupled with the publicity of the official media, people immediately knew how important the Fields Medal was.
It turned out that only one day had passed, and Lin Xiao was on another trending search.
[Lin Xiao will solve Hodge's conjecture], as soon as this hot search went up, countless netizens poured in with doubts about "what is Hodge's conjecture", and then came out with shock.
Hodge's conjecture is actually a more important mathematical conjecture than Goldbach's conjecture?
Moreover, to solve this Hodge conjecture, can you get a prize of 100 million US dollars?
With such a bonus amount in front of him, it would be difficult not to let people realize how strong this conjecture is. After all, the Fields Medal that Lin Xiao won, except for a medal, was only 15000 Canadian dollars.
As a result, the netizens in Huaguo were also excited.
"Your Forest God or the Ni Forest God"
"Ah~ I am the God of the forest, I will always be the God~"
"If only I had a tenth of Lin Shen's strength." 』
"Lin Shen is the Fibonacci sequence of infinite prime numbers, Mersenne prime distribution law, twin prime conjecture, Goldbach's conjecture, Lin's titanium bonding mechanism, multidimensional field theory, root search method, electronic topological bonding theory, Hodge Conjecture, Wolfe Mathematics, double winner in physics, Fields Medal winner... and a series of comprehensive, do you want to have one-tenth of him? 』
"Uh... one percent is fine! 』
"The gap is too big, forget it, Professor Lin is only 22 years old this year, so let's not think too much about it. 』
……
In this way, amidst all kinds of boiling, the calendar also moved from July 7th to July 7th.
And in St. Petersburg on this day, the average IQ was a little higher compared to the previous few days.
Because, more than 1000 mathematicians or enthusiasts came here.
Witness together, that historic moment.
(End of this chapter)
After Deligne's voice fell, he sat back safely.
Lin Xiaoze also said with a smile: "Then, this is the end of this report, thank you all, and see you the day after tomorrow."
Afterwards, he packed up his things and left the stage.
In the auditorium, the faces of those who failed to ask the question showed regret. Of course, it was impossible for them to compete with Deligne, so they could only temporarily put aside the questions in their hearts.
However, when they recalled the question Deligne asked just now and Lin Xiao's answer, they were all stunned.
Is Lin Xiao going to extend the Hodge conjecture established in low dimensions to high-dimensional situations in a broad sense?
At present, regarding how many dimensions the Hodge conjecture holds, mathematicians in the past have only studied the fifth dimension, and the establishment of these dimensions mostly requires a lot of assumptions, that is, the so-called preconditions, and even Even the Hodge conjecture in the four-dimensional case is true, and current mathematicians have not yet solved it.
Then, what Lin Xiao wants to solve now is the high-dimensional situation in a broad sense?
Wouldn't that be the same as saying...
Is Lin Xiao going to completely solve Hodge's conjecture?
The mathematicians who came back to their senses all showed shock on their faces.
"Oh! Buy! Karma! He wants to prove Hodge's conjecture?!"
"This... is too unbelievable, right?!"
"I thought he was talking about expanding to high dimensions to solve the problem of Hodge's conjecture in four dimensions. Now tell me, what he is going to solve is the complete Hodge conjecture?"
"Is this...Professor Lin?"
These mathematicians who hadn't guessed what Lin Xiao was going to do before were shocked besides being shocked.
This thing came too suddenly, right? !
The Hodge conjecture, one of the seven major problems of the millennium, is now about to be completely solved?
But mathematicians like Deligne, who had already guessed what Lin Xiao was going to do, could only wonder in their hearts.
Sure enough, Lin Xiao was aiming at Hodge's conjecture.
Although they don't know if Lin Xiao can really do it, but recalling Lin Xiao's past achievements, they have nothing but belief in their hearts.
Of course, after thinking of this, all of them picked up their mobile phones at the same time, started calling their friends who didn't come to the mathematicians conference, and said, "Dude, don't you want to miss the fact that the Hodge conjecture was discovered?" That historic moment of proof?"
Obviously, no one wants to miss such an important moment.
As one of the greatest conjectures in algebraic geometry, one of the greatest conjectures in the mathematics world, and one of the major issues that can make great contributions to the unification of mathematics, the Hodge Conjecture Proof Report Conference can definitely be regarded as the first in the mathematics world. a feast.
Regardless of whether they are mathematicians who study algebraic geometry and algebraic topology, I believe they will not want to miss this kind of time.
Just like when Andrew Wiles proved Fermat's Last Theorem, his third lecture was completely packed with people.
So, these mathematicians called their friends, and those mathematicians who didn't come to the scene, naturally all couldn't wait to book plane tickets, and started to come here.
On the other side, Carlos Keenig, the chairman of the International Mathematical Union, was already wide-eyed at this time, and his heart was full of excitement.
"Professor Lin...Professor Lin... What he wants to solve is Hodge's conjecture? Is this the miracle he told me?"
Of course, he was the most excited about this matter. When he was the chairman of the International Mathematical Union, he was able to witness such an important historic moment in the proof of a conjecture. How could he not be excited?
However, probably because he was too excited, his face suddenly turned pale, and then he took a few breaths violently. The person next to him quickly patted his back and asked in shock, "What's wrong with you?"
And Carlos Keenig slowed down for a while, and finally felt better, and then said: "It's okay, but there is something wrong with the body."
Then he realized something, and said, "Go and see, can you give him more time for Professor Lin's lecture the day after tomorrow? There must be more time! This is Hodge's conjecture! Go to the organizing committee!"
Hearing this, the people next to him also reacted immediately.
That's right!
This is the proof of Hodge's conjecture!
Fields lecture is only one hour, and how can a one-hour report be worthy of the proof of Hodge's conjecture?
At least two or three hours.
After all, there is a high probability that it will take some time just for the questioning session.
So soon, they determined that Lin Xiao's Fields lecture schedule would be from [-]:[-] p.m. all will do.
Then, in less than an hour, the organizing committee of this conference announced a notice: [In view of the fact that Professor Lin Xiao will give an important sharing about Hodge’s conjecture at the Fields Lecture the day after tomorrow, the organizing committee decided to send Lin Xiao Professor Fields' lecture will be extended for one hour, and the time is currently planned to be from 7:9 to [-]:[-] pm on July [-]th. If you are interested, you can participate in it. 】
However, not long after this notification ended, the organizing committee of the conference announced another notification: [The date of Professor Lin Xiao’s Fields Lecture has been changed, and the scheduled time is 7 am on July 10. 】
The original July 7th was a free day, that is, there was no plan on this day, and it was a day for all participants to rest. The schedule of the International Conference of Mathematicians is very tight, so there will usually be such free day.
But now, they have postponed Lin Xiao's speech to this day because too many mathematicians have sent them emails, saying that they also want to see the report, and hope that the organizing committee can coordinate the time .
Otherwise, there is only one day in between, and it is really inconvenient for them to come here.
So the organizing committee of the conference negotiated with Lin Xiao and postponed the time by one day. It just so happened that this day was also free time, and everyone was most awake in the morning, so it happened to let Lin Xiao make a report.
In this way, Lin Xiao is probably the only one who asked the organizing committee to adjust the time of his reports at the two International Congresses of Mathematicians.
At the 2018 International Congress of Mathematicians, Lin Xiao's 45-minute report was adjusted to a one-hour report, and this year's Fields Lecture in 2022 was also adjusted to a report that can last at least two hours.
He also couldn't laugh or cry about this. Of course, all he needs to do is to cultivate his spirit and prepare for the report in a few days.
……
In the following time, this matter was quickly spread, and then the entire mathematics world was shocked.
what?
Lin Xiao is going to prove Hodge's conjecture at the International Congress of Mathematicians?
And this matter has also been certified by a top mathematician.
Ever since, the world of mathematics, which was proved at the beginning of the year because of Lin's conjecture, once again fell into a boil, and it was even more exciting than the proof of Lin's conjecture.
The Hodge conjecture, one of the seven great problems of the millennium, will be proved, and no mathematician will not be excited.
If Goldbach's conjecture is the jewel in the crown of number theory, then Hodge's conjecture is the jewel in the crown of mathematics.
After all, compared to the genius game of mathematics such as number theory, algebraic geometry can be regarded as an important link of mathematics, and Hodge's conjecture is like this.
Of course, if any mathematician announces that he has proved the Hodge conjecture, no one will care, because the academic world pays attention to a credit, which is the so-called academic credit.
Just like Minke, why no one believed them before they announced that they had proved an important conjecture. First of all, it was because, before proving an important conjecture, the prover must have had some results. With credit, otherwise, if an unknown person publishes an important conclusion, obviously no one will read it.
As for why Perelman announced that he had proved the Poincaré conjecture, he was able to directly receive the attention of the academic community. This is because he was the one who rejected the EMS award in 1996, and he also accepted it as early as 1994. The only award he accepted was the St. Petersburg Mathematical Society Award in 1991-after all, he lives in St. Petersburg.
Therefore, just because Lin Xiao's "academic credit" is considered first-class in the world, people generally believe that he really proved the Hodge conjecture.
Including the country of China, this matter has already spread.
In fact, Lin Xiao's name was already on the hot search list before this matter reached Huaguo.
Because on July 7, when Lin Xiao won the Fields Medal, the country was already boiling, and various official media, including CCTV News, broadcast the news serially, so he had long been on the hot search list, and has been did not come down.
No one in Huaguo had ever received a Fields Medal before, so the Fields Medal was not very well-known in Huaguo, basically only the Nobel Prize was known, but now Lin Xiao brought back the Fields Medal, Coupled with the publicity of the official media, people immediately knew how important the Fields Medal was.
It turned out that only one day had passed, and Lin Xiao was on another trending search.
[Lin Xiao will solve Hodge's conjecture], as soon as this hot search went up, countless netizens poured in with doubts about "what is Hodge's conjecture", and then came out with shock.
Hodge's conjecture is actually a more important mathematical conjecture than Goldbach's conjecture?
Moreover, to solve this Hodge conjecture, can you get a prize of 100 million US dollars?
With such a bonus amount in front of him, it would be difficult not to let people realize how strong this conjecture is. After all, the Fields Medal that Lin Xiao won, except for a medal, was only 15000 Canadian dollars.
As a result, the netizens in Huaguo were also excited.
"Your Forest God or the Ni Forest God"
"Ah~ I am the God of the forest, I will always be the God~"
"If only I had a tenth of Lin Shen's strength." 』
"Lin Shen is the Fibonacci sequence of infinite prime numbers, Mersenne prime distribution law, twin prime conjecture, Goldbach's conjecture, Lin's titanium bonding mechanism, multidimensional field theory, root search method, electronic topological bonding theory, Hodge Conjecture, Wolfe Mathematics, double winner in physics, Fields Medal winner... and a series of comprehensive, do you want to have one-tenth of him? 』
"Uh... one percent is fine! 』
"The gap is too big, forget it, Professor Lin is only 22 years old this year, so let's not think too much about it. 』
……
In this way, amidst all kinds of boiling, the calendar also moved from July 7th to July 7th.
And in St. Petersburg on this day, the average IQ was a little higher compared to the previous few days.
Because, more than 1000 mathematicians or enthusiasts came here.
Witness together, that historic moment.
(End of this chapter)
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