From Almighty Scholar to Chief Scientist

Chapter 299 Hodge's conjecture is one month harder than Lin's conjecture
The applause of the audience lasted for a long time, even if it was Goldbach's conjecture last time, the sound was only louder because there were more than 1 people in the audience, but now here, in the National Theater of St. Petersburg, although there is no applause It was so big at first, but it lasted a long, long time.

Until the end, the applause finally subsided, and Lin Xiao finally had time to speak: "Thank you for listening to all my process patiently. Next, it's time for questions."

He looked at the time, and then smiled: "The organizing committee gave us nearly an hour to ask questions, so come on, I'm ready to face a protracted battle."

There was laughter in the audience, and then, a group of people raised their hands.

Seeing so many hands, Lin Xiao smiled slightly, and then chose one of them.

Soon, the selected person stood up, first smiled and nodded at Lin Xiao, and then said: "Professor Lin, please tell me, in 4.3.6, Γ`0∈H^3et(W`0, k , why the restriction on the geometrically special fiber W`2k in Z/2(0) will not disappear under the mapping to Galvaroic cohomology?"

Lin Xiao smiled slightly and said, "This step is very simple."

Then he pulled a blackboard from the side and started writing.

【H^3et(W`0，k，Z/2(2))→H^3(F，Z/2(2))……其中F=k(W`0，k)】

"Well, that's about it."

Lin Xiao said with a smile: "Please note that the form of W`0 is U×S'0, through Lemma 4.2, we can get U≌Gm, and S`0 is S`→norm (o` ) special fiber."

The questioner suddenly realized, "Thank you for your explanation, I understand."

Lin Xiao nodded with a smile, and then said: "You're welcome, it's my responsibility, so please go next."

Soon, he chose another person.

"Professor Lin, why in 3.4.1, in order to increase β, we need to find a non-divergent Gavarro expansion L/Kp?"

"This step is also very simple..."

Lin Xiao quickly answered.

In this way, after one question after another, the report was finally coming to an end, and fewer and fewer hands were raised on the field, until finally, it was finally cleared.

This also means that the Hodge conjecture proved by Lin Xiao has been recognized by everyone in this report. The next step is to wait for the current International Congress of Mathematicians to sort out his report, and then use the conference papers The form was published.

I believe that the conference papers in this issue will be sold out by people.

In fact, at the last International Conference of Mathematicians, quite a few copies of the conference proceedings were finally sorted out. After all, Lin's conjecture was proposed in it.

And this time, Hodge's conjecture has been proved. I believe everyone is willing to buy a copy as a souvenir.

Seeing that no one asked any more questions, Lin Xiao smiled and said, "It seems that this is the end of my report, thank you all."

Then he bowed again to the people.

Off the court, the applause sounded again.

After the questioning session, everyone present knew that Hodge's conjecture had been completely proved.

At least, it has been recognized by people for the time being. Afterwards, the International Congress of Mathematicians will organize many mathematicians to conduct a final analysis of the entire proof process. The test, of course, is actually enough after a few months of testing.

After all, the proof of this heavyweight conjecture will inevitably be observed by people under a magnifying glass in the future to verify every possible error. Therefore, I believe that so many mathematicians in the mathematics world, within a few months, have already enough.

Of course, people believed Lin Xiao's proof, and there would be no problems.

After all, Lin Xiao's credit is worth several top guesses.

And at this moment, Jean-Pierre Serre stood up, picked up a bottle of champagne in the eyes of everyone, and walked to the stage.

Seeing this scene, how could people not know the purpose of this old man?

So the applause grew louder, and smiles appeared on people's faces, waiting for that moment to come.

When seeing Professor Searle come on stage, Lin Xiao was taken aback for a moment, but after seeing the bottle of champagne, he also smiled.

"Professor Searle."

"Lin, seeing you again, you surprised me a lot."

Searle laughed, and then he handed the champagne in his hand to Lin Xiao, and said, "Open it, this is the winner's moment."

After receiving the champagne, Lin Xiao smiled and said, "Thank you."

Then, saying "cleaner, I'm offended" in his heart, he shook the champagne vigorously, and then pushed the champagne cap off with his thumb.

"Boom~"

The wine rushed out of the bottle, and cheers of victory spilled out.

And the atmosphere of the audience reached another climax again.

At the same time, the media photographers in the back row also took pictures of this scene.

In the photo, Lin Xiao standing on the stage opened the champagne belonging to victory, and in the auditorium, the audience stood up and applauded, making this photo forever engraved in the history of mathematics, and a line of small words below it : "On July 2022, 7, Lin Xiao celebrated at the International Congress of Mathematicians for successfully proving Hodge's conjecture"

……

This report is over.

In fact, before the report was over, the news had already spread.

Needless to say, the mathematics world, or the entire academic world, has long been boiling because of this matter.

For the general public, Hodge's conjecture, as one of the most difficult mathematical problems in the world, is also a gimmick, so this matter alone has attracted a lot of attention. One of the big puzzles, the Hodge conjecture, which represents a prize of 100 million US dollars, has also become a point of great concern.

So under the propaganda of the media, ordinary people expressed their envy to Lin Xiao.

That's $100 million!

Who wouldn't want to get it?

Here I have to talk about the cleverness of the Clay Institute. The Cray Institute was established in 1998. It was quite unknown at first, but in 2000 it came up with a gimmick of a million-dollar bonus, and let it The reputation has also grown in academia.

However, for Lin Xiao, although 100 million US dollars is very eye-catching, but he is not unable to make money now. In addition, if he wants to receive 100 million US dollars at that time, he may have to go to Colorado, the United States where the headquarters of the Clay Institute is located. He will definitely not go, unless they are held in Huaguo.

So he didn't care about these awards.

In the following time, he naturally stayed in St. Petersburg and participated in the next conference report. Originally, he wanted to communicate with Perelman, but it was a pity that Perelman had finished attending his meeting. After the report, he disappeared, so he had no choice but to give up.

In this way, time passed quickly.

The current International Congress of Mathematicians has finally come to an end.

Undoubtedly, this conference will be one of the most historic conferences among all international mathematician conferences in the past and in the future.

Every participant felt that the trip was worthwhile.

However, when it was finally time to leave, I still had to leave.

July 7, St. Petersburg Airport.

On this day, many mathematicians who participated in the meeting left together, and Lin Xiao also followed the Huaguo team to the airport.

Of course, before boarding the plane, Lin Xiao was surrounded by many mathematicians who said goodbye to him.

Professor Searle said to him with a smile, "Lin, I hope that the next time I see you again, it will be the time when you give us another surprise."

Lin Xiao smiled: "Of course, I will try my best."

"Then I'm looking forward to it." Searle nodded and said with a smile: "If possible, I can try my best to hear a few more important conjectures completed by you before I pass away."

Lin Xiaozheng nodded emphatically.

Professor Searle is more than 90 years old. Although he seems to be in good health, who knows if an accident will happen.

Lin Xiao can only hope that his former mentor can live longer.

Next to him, the chairman of the International Mathematical Union, Carlos Keenig, was also here. Even though there was still something about the end of the conference and he couldn't leave for the time being, he still took the initiative to see Lin Xiao off.

He patted Lin Xiao on the shoulder and said with a smile: "Professor Lin, I have already seen the miracle you mentioned at the beginning, but I also hope that you can let me see it more times."

"I also hope that you can see it more times." Lin Xiao responded with a smile.

Everyone else nodded.

They all believed that Lin Xiao would continue to create more miracles.

Then, other mathematicians including Deligne, Tao Terence, Pompieri, etc. also said goodbye to Lin Xiao one by one.

After a while, Lin Xiao looked at the time and was about to board the plane, so he said with a smile: "Okay everyone, I should leave too. If you have time, you must come to Huaguo to play!"

These mathematicians all laughed and said: "Next time."

Then, Lin Xiao also left the hall and went to the boarding gate.

Under the protection of four bodyguards including Shi Hao, they boarded the plane, and then the plane took off smoothly, starting the nine-hour flight.

After today, the average IQ in St. Petersburg has returned to the original point.

……

On July 7, Lin Xiao's plane arrived at Shangjing Airport.

When he arrived at the airport, he was naturally greeted by a lot of people, which made Lin Xiao feel the grand treatment of being a Fields Medal winner and Hodge conjecture prover. Huaguo Mathematical Society and Ma Gaoliang came to pick him up Having said that, many big figures from the government also came to pick up the plane.

In addition, there was a CCTV reporter's record at the scene, and he was interviewed.

However, because he had been on the plane for too long, he could say as little as possible during the interview.

Reporter; "Professor Lin, how does it feel to prove Hodge's conjecture? Do you feel a sense of accomplishment?"

Lin Xiao: "If you prove Hodge's conjecture, it's okay, not bad."

Reporter: "...you are really 'modest'."

"Hodge's conjecture is a very difficult problem that we have also understood. It is said that many mathematicians in the world have devoted their lives to proving Hodge's conjecture. You must have paid a lot to prove this conjecture. Less?"

Lin Xiao took it for granted: "Of course! It took me nearly four months to solve this problem, and I really paid a lot."

I think that after he went out, no one could recognize his appearance.

reporter:"……"

four months?
talent?
Where are you leaving Versailles?
The reporter took a deep breath, and then continued to ask: "Then compared with your Lin's conjecture? Which one do you think is difficult?"

"Well...then Hodge's conjecture is more difficult, after all, Hodge's conjecture has to take into account the n-dimensional situation."

Finally, there was a normal answer, the reporter breathed a sigh of relief, and then asked curiously: "Then how difficult do you think?"

"Difficult... it will be difficult for a month."

Reporter: "?? What is going to be difficult for a month?"

Lin Xiao laughed and said, "It took about three months for me to prove Lin's conjecture, and four months for Hodge's conjecture. Isn't that just a difficult month?"

Reporter, and everyone around: "..."

Since when is the difficulty of a top mathematical conjecture calculated on a monthly basis?

Probably only Lin Xiao has this ability!
(End of this chapter)