Chapter 294 He wants to prove Hodge’s conjecture? !

When Deligne's voice fell, he sat back down calmly.

Lin Xiaoze also smiled and said: "Then, this report is over. Thank you all, see you the day after tomorrow."

Afterwards, he packed up his things and left the stage.

In the audience, those who failed to ask questions showed regret on their faces. Of course, they couldn't argue with Deligne, so they could only put aside the questions in their hearts for the time being.

However, when they recalled the question Deligne had just asked and Lin Xiao's answer, they were suddenly stunned.

Lin Xiao wants to extend the Hodge conjecture that holds true in low dimensions to a high-dimensional situation in a broad sense?

Currently, regarding how many dimensions the Hodge conjecture holds, mathematicians in the past have only studied the fifth dimension, and the establishment of most of these dimensions requires a lot of assumptions, which are the so-called prerequisites, and even Even current mathematicians have not yet solved whether the Hodge conjecture is true in four dimensions.

Then, what Lin Xiao wants to solve now is a high-dimensional situation in a broad sense?

Doesn't this mean that...

Lin Xiao wants to completely solve the Hodge conjecture?

The mathematicians who came back to their senses had shocked expressions on their faces.

"Oh! Buy! Damn it! He wants to prove Hodge's conjecture?!"

"This... is too unbelievable, isn't it?!"

"I thought he was talking about extending to high dimensions to solve the problem of Hodge's conjecture being true in four dimensions. But now tell me, what he wants to solve now is the complete Hodge's conjecture?"

"Is this...Professor Lin?"

These mathematicians who had not guessed what Lin Xiao was going to do before were not only shocked, but also shocked.

Didn't this happen too suddenly? !

Hodge's conjecture, one of the seven major problems of the millennium, is now about to be completely solved?

Mathematicians like Deligne, who had already guessed what Lin Xiao planned to do, were filled with endless wonder.

Sure enough, Lin Xiao was aiming at the complete Huo Qi guess.

Although they didn't know if Lin Xiao could really do it, recalling Lin Xiao's past achievements, they could only believe in it.

Of course, after thinking of this, they all picked up their mobile phones in unison and started calling their friends who did not come to the mathematician conference, and then said: "Brother, do you want to miss the Hodge Conjecture?" 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 mathematics, and one of the major issues that can make a huge contribution to the unification of mathematics, the report on the proof of Hodge's conjecture can definitely be regarded as a masterpiece in mathematics. A feast.

Regardless of whether you are a mathematician who studies algebraic geometry or algebraic topology, I believe you will not want to miss this 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 had not come to the scene naturally couldn't wait to book their plane tickets and started to come here.

On the other side, the Chairman of the International Mathematical Union, Carlos Kenig, had his eyes widened and his heart was filled with excitement.

"Professor Lin...Professor Lin...what he wants to solve is the Hodge conjecture? Is this the miracle he told me?"

Of course, he was the most excited about this matter. When he was the president of the International Mathematical Union, he was able to witness a historic moment of proving such an important conjecture. How could he not be excited?

However, he was probably too excited. His face turned pale suddenly, and then he took several deep breaths. The person next to him patted his back quickly and asked in shock: "What's wrong with you?"

Carlos Kenig took it easy for a while, finally feeling a little better, and then said: "It's okay, I just have some physical problems."

Then he realized something and said: "Go and see if Professor Lin can give him more time for his lecture the day after tomorrow. There must be plenty of time! This is Hodge's conjecture! Go find the organizing committee!"

Hearing this, the people next to him also reacted immediately.

That's right!

This is proof of Hodge’s conjecture!

The Fields Lecture is only one hour long, and how can a one-hour report be worthy of proving the Hodge conjecture?

It will take at least two or three hours.

After all, the question-and-answer session alone will most likely take a certain amount of time.

So soon, they determined that the schedule for Lin Xiao's Fields lecture was from 6 to 7 pm, which meant that the time could be extended by a few hours, or even all night long, as long as the mathematicians didn't mind. Either way.

Subsequently, in less than an hour, the organizing committee of this conference announced: [In view of the important sharing of Professor Lin Xiao on the Hodge conjecture at the Fields Lecture the day after tomorrow, the organizing committee decided to transfer Lin Xiao to The Professor's Fields Lecture has been extended by one hour and is now scheduled to be held from 6 to 8 pm on July 9. Participants can participate if they are interested. 】

However, not long after this notice ended, the organizing committee of the conference announced another notice: [The date of Professor Lin Xiao’s Fields Lecture has been changed, and the planned time is July 10 at 9 a.m. 】

July 10th was originally a free day, that is, there was no plan for this day. It was a day to rest for all participants. The schedule of the International Congress of Mathematicians was very tight, so there would usually be something like this in the middle. A 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 would only be one day in between, and it would really be inconvenient for them to come.

So the organizing committee of the conference negotiated with Lin Xiao and postponed the time by one day. This day happened to be free time, and the morning was also the time when everyone was most awake, so Lin Xiao could give the report.

Counting this way, Lin Xiao is probably the only person who asked the organizing committee to adjust the time of his report 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 2022 Fields Lecture was also adjusted to a report that can last at least two hours.

He didn't know whether to laugh or cry about this. Of course, all he needed to do was to keep his spirits up and prepare for the report in a few days.

…

In the following time, this matter spread quickly, and then the entire mathematical world was shocked.

What?

Lin Xiao will prove the Hodge conjecture at the International Congress of Mathematicians?

And this matter has been certified by a top mathematician.

As a result, the mathematical community, which had just been proven at the beginning of the year because of Lin's conjecture, was once again in a state of excitement, and it was even more exciting than the proof of Lin's conjecture.

The Hodge conjecture, one of the seven major problems of the millennium, is about to be proven, and no mathematician will not be excited about it.

If Goldbach's conjecture is the crown jewel of number theory, then Hodge's conjecture is the crown jewel of mathematics.

After all, compared to number theory, a genius game of mathematics, algebraic geometry can be regarded as an important link in mathematics, and Hodge's conjecture is like this.

Of course, if any mathematician announced that he had proved the Hodge conjecture, no one would care, because academia pays attention to credit, which is the so-called academic credit.

Just like in civil science, why no one believes it before they announce that they have proved an important conjecture? First of all, it is because, before proving an important conjecture, the prover must have already achieved some results. With results, that is With credit, otherwise, if an unknown person publishes an important conclusion, obviously no one will read it.

As for why Perelman was able to directly gain the attention of the academic community after announcing that he had proved the Poincaré Conjecture, this is because he was the one who rejected the EMS Award in 1996, and he also accepted it as early as 1994. After being invited to give a lecture at the International Congress of Mathematicians, the only award he accepted was the St. Petersburg Mathematical Society Award in 1991 - after all, he lived in St. Petersburg.

Therefore, precisely because Lin Xiao's "academic credibility" is considered first-class in the world, people generally believe that he has really proved the Hodge conjecture.

This matter has spread throughout China, including China.

In fact, before this matter reached China, Lin Xiao's name was already on the hot search list.

Because on July 6, when Lin Xiao won the Fields Medal, the country was already abuzz. Various official media, including CCTV News, continuously broadcast the news, so he had long been on the hot search list, and has been Didn't come down.

No one in China has won the Fields Medal before, so the Fields Medal is not very famous in China. Basically, they only know the Nobel Prize. Now Lin Xiao has brought this Fields Medal back. With the publicity from the official media, people immediately knew how important this Fields Medal was.

As a result, only one day had passed, and Lin Xiao was on another hot search.

[Lin Xiao will solve the Hodge Conjecture]. As soon as this hot search went up, countless netizens poured in with doubts about "What is the Hodge Conjecture?" and then came out with shock.

Hodge's conjecture is actually a more important mathematical conjecture than Goldbach's conjecture?

Moreover, if you solve this Hodge conjecture, can you get a prize of US$1 million?

With such a prize amount in front of them, it is difficult to prevent people from realizing how powerful this conjecture is. After all, the Fields Medal that Lin Xiao won was only worth 15,000 Canadian dollars in addition to a medal.

As a result, Chinese netizens were also excited.

"Are you a forest god or a forest god?"

"Ah~ I am the God of the Forest, I will always be the God~"

"I wish I were one-tenth as good as Lin Shen. 』

"Lin Shen is the infinity of Fibonacci prime numbers, Mersenne prime number distribution law, twin prime number conjecture, Goldbach's conjecture, Lin's titanium bonding mechanism, multi-dimensional field theory, root search method, electronic topological bonding theory, Hodge Conjecture, Wolff mathematics, double winner of physics, Fields Medal winner... and a series of comprehensive, do you want to be one-tenth of him? 』

"Uh... one percent is enough!" 』

"The gap is too big, forget it, Professor Lin is only twenty-two years old, let's not think too much about it. 』

…

Just like that, amid all the excitement, the calendar moved from July 7th to July 10th.

On this day in St. Petersburg, the average IQ was a little higher than it was a few days ago.

Because, more than a thousand mathematicians or enthusiasts came here.

Witness that historic moment together.