Federated States of Lucia.

Moscow State University.

Nicholas Ridley is a professor of mathematics and a close friend of Grigory Perelman, the proover of the Poincaré conjecture.

He had just finished a class when he was suddenly stopped by a female student.

"Teacher, I would like to ask a question about algebraic geometry."

"Alright! Natasha ...... "Nicholas Ridley was interrupted by a rough voice before he could finish his sentence.

"Ridley, you would never have thought of what happened today?" The owner of the rough voice, a typical bearded Slavic middle-aged man.

"Andrews, did your tap water turn into vodka?" Nicholas Ridley joked.

"Check it out! You're guaranteed to be amazed. Andrews finished handing him a copy of the Annals of Mathematics.

What is it? Hey? Annals of Mathematics? Nicholas Ridley took it in confusion and looked at it carefully.

"Oh! Euler is on top, and the Hodge conjecture is proved. Nicholas Ridley exclaimed.

"Not necessarily." Andrews shook his head and said.

Nicholas Ridley knew what Andrews meant as soon as he heard it: "I'll go find Perelman, let's see if this dragon slayer killed Hodge." ”

Although it has declined, the Moscow School of Mathematics is still a remnant of many strong mathematicians.

If it weren't for the dissolution of the Confederacy of Red Lucia, the Moscow School of Mathematics would have been able to compete with the Göttingen School, Princeton University, Harvard University, the Gallic School, and the Roman School.

Now even if it is declining, it is still not to be underestimated, and this is the truth that the emaciated camel is bigger than the horse.

Nicholas Ridley turned his head to Natasha and said apologetically, "Natasha, the problem can only be left until next time." ”

"It's okay, Professor." In fact, Natasha was also dizzy at this time, as a master's student in the Department of Mathematics, of course she had heard of the name of Hodge's conjecture.

Today she actually heard that Hodge's conjecture was proven, which undoubtedly brought a huge shock to her.

Nicholas Ridley hurried to the outskirts of Moscow.

Perelman lived with his mother on the outskirts of Moscow, and Nicholas drove to his house, which was very remote, and the coniferous pine house was very old, not at all like the residence of a great mathematician.

After getting out of the car and walking more than a hundred meters, an old woman was tending to a wasteland with some scattered potatoes and sunflowers, as well as a small slice of lettuce and carrots.

Nicholas Ridley shouted to the old woman, "Karina, is Perelman at home?"

"Oh! It turned out to be little Nicholas, and Pere went to the forest to pick mushrooms. "The old woman is none other than Perelman's mother.

Nicholas Ridley shook his head helplessly, Perelman was really a weirdo among weirdos, he didn't go to accept the prize after proving Poincaré's conjecture (the Clay Institute of Mathematics gave a million dollars to the millennial puzzle solver), and he didn't even receive the Fields Medal in '06.

If he goes to accept the award, he can at least use the money to improve his life, and Nicholas Ridley can't understand Perelman's thoughts.

Put the brown bread and yogurt in the house, after half an hour.

A man dressed in frayed clothes, dark brown shaggy hair that was messy, a bushy beard that was not trimmed, and long nails, lived out the image of a homeless man.

He is Perelman, the mathematical genius who cracked Poincaré's conjecture, and it is hard to imagine that a mathematician with such high academic achievements could be such a vagabond.

Perelman carries a basket of freshly picked mushrooms, one of his hobbies, picking mushrooms alone in a secluded forest.

He didn't greet Nicholas Ridley like an old friend, he just glanced at him indifferently, and then went to clean the mushrooms himself.

Nicholas Ridley has long been accustomed to Perelman's behavior.

"Perret, someone has cracked the Hodge conjecture."

Perelman cleaned the mushroom's hands for a while, and then returned to normal, and he said coldly: "I am no longer a mathematician. ”

"Perret, don't you want to communicate with a genius? Do you know? The person who cracked Hodge's conjecture was a young man who was only 19 years old. Nicholas Ridley explains.

Perelman raised his eyebrows, and then said affirmatively: "Is it Huang Mingzhe?"

"I said you'd be interested, and that's him."

"I knew he was going to crack Hodge's conjecture."

"Let's test the ability of this dragon slayer warrior together!"

Perelman cut the mushroom and was silent for a long time: "There is no need. ”

Looking at Perelman, Nicholas Ridley could only leave with regret in the end, he knew that he didn't have to talk about it anymore, he knew Perelman's character.

Meanwhile.

Mathematicians all over the world are engaged in the verification work.

Especially in the case of the Clay Institute of Mathematics, they need to reward the cracker with a million dollars, and it would be embarrassing if the prize money was sent wrong.

Verification is obviously faster than proof, but with this century-level achievement, no one will let go of a single number, not even a symbolic error.

For more than a month, mathematicians around the world were verifying Huang's paper.

The International Mathematical Union Committee compiled the results of the various mathematicians' verifications, but everyone was suppressed by Huang's proof.

Impeccable! The paper is so perfect, perfect that it shines like a gem.

Ingrid Dobessi, President of the International Mathematical Union, met with mathematicians in Princeton, including the Princeton School of Mathematics, the Department of Mathematics of Harvard University, and the Clay Institute for Mathematics.

"What do you think of Huang Mingzhe's paper proving Hodge's conjecture?" Ingrid Dobessi asked straight to the point.

Everyone looked at each other, what could they say, studied for more than a month, and couldn't find even a single mistake, and there was no reason to refute each other.

They are academics, not political people who can turn black and white upside down.

"His proof is beyond doubt." Pierre Deligne was the first to speak.

Next, Yau Chengtong, Tao Zhexuan, Edward Witten, John Schhner and others also agreed.

"The École Supérieure de Paris, Göttingen, Cambridge, the Max Planck Institute, Moscow University, the University of Tokyo, and the University of Peking have also endorsed this evidence." Ingrid Dobessi said, holding the papers.

There was a lot of discussion for a while, and soon more people agreed with this proof, and as for the few mathematicians who had opinions, they could only choose to remain silent at this time.

To refute Huang Mingzhe's proof, it is necessary to find out the problems and flaws, but the paper is simply flawless, and if you drill into the horns of the bull, you can only recede your hairline by a few centimeters.

July 16th.

The International Mathematical Union Committee announced to the world that Huang Mingzhe's paper proving Hodge's conjecture was correct.

At the same time, the Clay Institute of Mathematics announced that it would recognize the results and award Huang Mingzhe with a prize of 1 million US dollars.

If the paper published in the Annals of Mathematics is an inconclusive proof, the international mathematical community has generally recognized this proof at this time.