Chapter 309: Hodge's Conjecture

Chapter 309

Four years.

With Gu Lu's ability, Simon would not think that Gu Lu would not be able to make a result compared to the conjecture of equal difference primes.

If nothing else, at the next International Congress of Mathematicians, one of the four Philippine Prize places will definitely be Gu Lu's name.

Gu Lu shook his head and smiled, and said to Simon, "You are not the same. ”

It's the same as Gu Lu.

At the next International Congress of Mathematicians, Simon also has a good chance of lifting the Fields Medal.

It's been mentioned before.

In fact, at this year's International Congress of Mathematicians, Simon has the strength to hit the Fields Medal.

Simon and the Fields Medals are only a layer away from window paper.

The BAB guess is the basis for Simon to pierce through that layer of window paper.

However, the key is ......

Gu Lu appeared!

Then replace that layer of window paper with tempered glass!

If Gu Lu hadn't been killed halfway, Simon's name would have been on the list among the four new Filipino Award winners this year.

And Simon didn't have to wait another four years at all.

But four years later, Simon was only 38 years old, still within the award period stipulated by the Philippine Awards.

Simon and Gu Lu are in a similar situation.

As long as a result similar to the BAB conjecture is made in the next four years, the Fields Medal medal will definitely be firmly in hand.

Again, there is no doubt about this!

Gu Lu and Simon glanced at each other, raised their wine glasses and touched them, and then drank them all in one gulp.

It's all in plain sight.

The two future Filipino Award bigwigs have reached a tacit understanding for the time being.

And Su Xi, who was sitting next to him and had been staring at the movements of the two, became confused.

............

Full of wine and food, the dinner table was a mess.

Simon, this guy is a big drinker, but the amount of alcohol is not good.

After just one or two bottles of red wine, his face became slightly drunk.

Simon unbuttoned a few buttons from his shirt and leaned back in his chair despite the mud of his image.

Belch~~

Simon belched.

The smell of wine mixed with the garlic flavor of garlic scallops smoked Gu Lu on the side and leaned his seat in the direction of Su Xi.

"What's next for you?" said Simon, sipping red wine.

He blushed, spitting wine, and looked at Gu Lu.

"What's the arrangement?" Gu Lu was leisurely eating the meat in the snail with a toothpick, and suddenly heard Simon ask like this, and couldn't help but ask a rhetorical question.

Simon leaned on the arm of his chair and barely straightened up, "I mean, what's your new topic?"

New topic?

This is not the first time someone has asked Gu Lu about a new topic.

After all, Gu Lu, as a hot figure in today's mathematics world, has been watched by many people in every move.

And Gu Lu's new topic is the top priority.

But on this issue, Gu Lu has always had a prevaricating attitude towards the outside world.

Gu Lu didn't say it explicitly, and casually let the group of mathematicians in the outside world guess.

Anyway, no matter how they guessed, they couldn't have guessed correctly.

However, for Simon's words, Gu Lu has no need to hide them.

Gu Lu put down the toothpick in his hand and said with a serious expression, "I have a bold plan!"

Simon was instantly intrigued, "What a bold plan?"

"I can't say this for the time being. Gu Lu smiled mysteriously, "But I can tell you about the content of the new topic." ”

"You say. ”

"Hodge conjecture!"

"What?!"

"Hodge conjecture!"

Simon's drunken spirit was sobered up by Gu Lu's four words.

Because the news he heard was so shocking.

"Is that the Hodge conjecture?" Simon swallowed subconsciously.

Gu Lu shrugged his shoulders and smiled, "Could it be that in the mathematical world, there is a second Hodge conjecture?"

Hodge's conjecture, one of the seven puzzles of the millennial world!

It says that on a nonsingular complex projective algebraic cluster, any Hodge class is a rational linear combination of algebraic closed-chain classes.

The Hodge conjecture is a major unanswered question in the field of algebraic geometry.

At the same time, it is also the most difficult conjecture in the entire field of geometry at present.

Even among the world's seven major problems, Hodge's conjecture is difficult enough to rank in the top three.

And the Goldbach conjecture, as we know it, is not at all on the list of the world's seven mathematical problems.

Another Riemann conjecture is only ranked fifth in difficulty.

The Hodge conjecture was proposed in 1924.

However, nearly a hundred years later, the breakthroughs made by mathematicians in the field of the Hodge conjecture can still be described as negligible.

Because the difficulty of studying this conjecture is too high.

Hodge's conjecture is equivalent to an Everest-like existence in the entire geometric world.

Look up and be afraid!

It's so powerful that you can't afford to take on the slightest challenge.

The BAB conjecture is one of the more well-known conjectures in geometry.

But in the face of Hodge's conjecture, it is completely not enough to see.

Therefore, when he heard Gu Lu say that the research content of the new topic was Hodge's conjecture, Simon's heart was extremely shocked!

"Are you crazy to challenge Hodge's conjecture?" Simon asked in disbelief.

Simon wondered if Gu Lu was floating and inflated!

Hodge wondered how that existed.

Even if all the Fields Medal winners in the field of geometry who are still alive in the world are not estimated to be more than 50% sure that this conjecture can be solved!

The Hodge conjecture is a conjecture in the field of algebraic geometry.

Simon was one of the great geniuses of the day in the field of algebraic geometry.

Simon couldn't be clearer about the hellish level of difficulty of Hodge's conjecture.

Gu Lu is very strong, this is really good!

But the current Gu Lu is at most comparable to the average Philippine Award winner.

In the face of Hodge's conjecture, such a behemoth is still invincible.

............

"I'm not crazy!"

Hearing Simon's words, Gu Lu couldn't help but smile bitterly.

This guy won't listen to me?

Gu Lu smiled and explained, "Of course I won't directly challenge Hodge's conjecture without knowing it, and listen to what I say." ”

"The research content of my new topic is indeed a good Hodge conjecture, but it is not the generalized Hodge conjecture you think, but the narrow Hodge conjecture!"

The Hodge conjecture is divided into the generalized Hodge conjecture and the narrow Hodge conjecture.

The Hodge conjecture is generally referred to as the generalized Hodge conjecture.

And in addition to the generalized Hodge conjecture, there is also a narrow Hodge conjecture.

The narrow Hodge conjecture corresponds to a weak conjecture of the general Hodge conjecture.

The difficulty is of course on two different levels.

Because the special Hodge conjecture gives more conditions, it is more conducive to research.

Simon couldn't help but breathe a sigh of relief when he heard that the object of Gu Lu's research was the narrow Hodge conjecture and not the generalized Hodge conjecture that he thought.

"But the narrow Hodge conjecture isn't simple!" Simon sighed.

The difficulty of the narrow Hodge conjecture is low, which is relative to the full version of the general Hodge conjecture.

In fact, the special Hodge conjecture itself is still a notch higher than the well-known conjectures in the field of algebraic geometry in terms of difficulty.

Standing for almost a hundred years, the conjecture remains unsolved.

This result speaks volumes.

Hearing Simon's emotion, Gu Lu smiled slightly, "Officially, because it's not simple, I don't plan to solve this narrow Hodge conjecture alone!"

"What do you mean?" Simon didn't figure it out for a moment.

Gu Lu looked at Simon and showed a harmless smile, "Simon, join my research group!"

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