Yang Yongan was stunned.

The bespectacled young man was also stunned.

The air froze for a few seconds.

“…… Hodge's conjecture? ”

The expression was full of eccentricity, Yang Yongan glanced at the blackboard, and then at the young man, and the look in his eyes couldn't tell whether he was looking at a madman or an idiot.

He used to just think this guy was a weirdo.

I heard that since this guy joined the International Center for Mathematical Research, he has been studying some difficult things outside the window, because he can't make a single result, and even the office has been vacated to newcomers.

If it were a different person who understands the world, he must have resigned voluntarily, but this guy is different, after being kicked out of the office, he moved a small bench and sat here.

I don't know if it's really stupid or fake, not only does this guy not feel bullied at all, but when he was asked why he didn't leave, he just replied casually, "I like the quiet here", and then continued to do his own thing.

When he first joined this Hidden Dragon and Crouching Tiger Mathematics Center, Yang Yongan thought that this guy was the kind of Chen Jingrun-style scholar who "didn't make a hit, but after a long time, he became familiar here, and he gradually doubted his own ideas, and over time, like other colleagues here, he didn't give him a good look.

After all, it's been two or three years, and counting the time this guy has been sitting here, it's probably four or five years. If you can't get a result in four or five years, such a person has two brushes, which are no different from a waste.

Aside from the time spent studying, the golden period of a mathematician's life is only ten or twenty years. It's stupid to spend four or five years on a problem that you can't think of.

Now that he heard that this guy was actually delusional in his research on the millennial problem, he was even more sure of his guess.

Eighty percent of this guy is crazy.

Although he was looked at with the eyes of a fool, the young man with glasses didn't feel anything, just looked at Lu Zhou and pushed down his glasses in surprise.

"You...... See what I'm researching? ”

If some old man in the center of mathematics could see what he was studying, it would not be surprising to him.

But it's a little scary to be recognized by someone who is meeting for the first time, or even seeing these things they write on the blackboard for the first time, what kind of problem they are delving into.

After all, mathematics is like a mountain away from different fields of study for most people. Trying to make a person who studies partial differential equations understand the complex continuous changes in topology is no different than asking a physicist to memorize the complex human-name reactions in organic chemistry.

Especially for the problem of the century like the Hodge conjecture, even people who have some knowledge of this field may not be able to understand what they write on the blackboard because of the different research ideas they choose.

What's more, it's just a draft of him, and there isn't a single word to suggest that it has anything to do with Hodge's conjecture.

Unless......

He is also a scholar in this field!

Thinking of this, a trace of interest gradually appeared in the pupils that had no emotion.

Lu Zhou smiled and said, "It's not very difficult to see this, except for the Hodge conjecture, there are few algebraic topologies of non-singular complex algebraic clusters that can have such a wonderful correlation with the polynomial equations that define the subclusters." However, for people who do not understand this field, this is indeed not very easy to see, after all, the more difficult the topic, the more complex the expression, the more unpopular. ”

"Yes," the pupils that didn't have much emotion finally showed a hint of emotion or excitement, and the young man sighed and said, "I've been here for almost five years, and there is no one to discuss. ”

"That's not it, maybe some people understand, but they just don't want to discuss it with you," Lu Zhou smiled and stretched out his right hand, "Can you borrow chalk?" ”

The young man pushed his glasses and handed out the chalk in his hand.

"Please...... But there wasn't much space on the blackboard. ”

"It's not in the way," Lu Zhou said, looking at Yang Yongan beside him, "Trouble Professor Yang, help me get the blackboard quickly." ”

Yang Yongan, who was still stunned by Lu Zhou's words, suddenly came back to his senses and nodded quickly.

"Good, good! Wait, there's no shortage of chalkboards! ”

With that, he trotted to the nearest wing, and soon took the two research dogs and dragged a blackboard on a roller stand back to the side of the big banyan tree.

Lu Zhou smiled and nodded to the three of them to express his gratitude, then restrained the laughing expression on his face, stared at the blackboard and pondered for a while, raised the chalk in his hand and wrote on it.

[From the Lefschetz-Hyperplane theorem, it can be seen that the inclusion mapping i:X^n(d)→CP^(n+r) is equivalent to n, so X^n(d) and CP^n have the same n skeleton ......]

……

In fact, the Hodge conjecture is not Lu Zhou's field of study.

However, because this problem is intrinsically related to the Cauchy-Riemann equation, Lu Zhou is not unfamiliar with it. And the use of the superelliptic curve analysis method made by this unknown young scholar on the blackboard gave Lu Zhou some inspiration.

If the study of the Riemann conjecture can build a bridge between algebra and geometry, then similar to the Atia Singer indicator theorem, the solution of the Hodge conjecture will find some basic intrinsic connection between the other three branches of mathematics: mathematical analysis, topology, and algebraic geometry.

Of course, he wasn't trying to prove Hodge's conjecture.

After all, even he could not solve a problem in such a short period of time, which is recognized by the Clay Institute and the entire mathematical community as taking a century to solve.

However, the Hodge conjecture, like the Riemann conjecture, has many weak forms.

For example, in the case of H^2, Hodge's conjecture holds!

Just when Lu Zhou was engrossed in calculating, in the side building not far from here, sixty people who were selected for the national training team of the IMO competition through the examination had just listened to the lecture of the former chairman of the Chinese Mathematical Society, Academician Wang Shicheng, and it was now the rest time for free activities.

Sitting next to the window, the boy in the peaked cap was flipping through the book in his hand, when the little fat man sitting in the front row suddenly turned his head and looked at him excitedly.

"Brother Ji, someone is pretending to be forced in the yard!"

"Not interested."

Seeing that his buddy was not interested, the little fat man continued unwillingly: "It seems to be a big bull with the rank of king!" I just took a look at it when I passed by on the toilet, and I couldn't even read what he wrote! ”

The delicate eyebrows finally raised a hint of interest, and the young man in the cap put down the book in his hand and glanced out the window.

"Let's go, let's see!"

……

There are more and more calculations on the blackboard.

Before I knew it, there were already a lot of onlookers standing next to me.

Most of the professors in the mathematics center recognized Lu Zhou's face, and although it was a bit difficult to understand what he wrote, most of them sat hungrily taking notes or listening attentively.

There are also some high school students who obviously don't look like scholars, who are all members of the national training team of the IMO competition, and the "math geniuses" of high schools across the country.

However, standing here and now, looking at the strings of calculations flowing like musical notes on the blackboard, in addition to the confusion written on the faces of these little newcomers, there are also many people who have a trace of fascination for this world that belongs to the masters.

One day, they will be able to reach such heights.

The person standing under the tree at this moment, the formula that writes the truth of the world at this moment, is their future!

The boy's eyes widened and his shoulders trembled with excitement.

The little fat man standing next to him glanced at his buddy and asked in a daze.

"Brother Ji, what's wrong with your convulsions?"

"O great god! This is the real god! I seem to have seen him somewhere......"

"Impossible, it's the first time we've come to Yanda."

"No, no, I'm sure I'm not mistaken, I'll think about it again......"

After finishing the lecture, I went to the office to drink tea, and walked slowly to Academician Wang Shicheng in the courtyard, who was about to meet Academician Lu who came from afar, but I didn't expect that people had already arrived first, and they were standing next to a blackboard writing something.

Frowning, Wang Shicheng stepped forward, stood on the edge of the crowd, and looked at the contents on the blackboard.

However, the moment his eyes fell on the blackboard, his pupils involuntarily contracted.

Hodge conjecture

Although this is not his field of study, it is not difficult for a veteran scholar like him who has been studying mathematics for decades to recognize it.

What's more, the famous "weirdo" in the mathematics center standing next to Lu Zhou he also recognized that it was Chen Yang who had studied the Hodge conjecture for more than ten years and did not hit the south wall and did not look back!

Time passed in silence for an hour.

As the sun gradually set to the west, the shadow of the banyan tree also unconsciously moved a few inches to the east.

Everyone was consciously quiet.

Until a soft sigh floated from behind.

“…… The Hodge conjecture holds for H^2...... Awesome! ”

Hearing this ghost-like voice, Yang Yongan was almost frightened and fell. Looking back, I realized that I don't know when the old academician Wang Shicheng was standing behind him.

"Go to the Academy, Academician!"

"Shhh ”

After settling down, Yang Yongan lowered his voice and asked respectfully.

“…… You mean, he testified to a weak form? ”

"No, it can't be regarded as his proof," Wang Shicheng shook his head with a heavy face, pondered for a moment and said, "If I remember correctly, this achievement was completed by Lev Shetz in the twenties of the last century. ”

After a pause, the old man continued.

"However, although this is not a novel result, he uses a very different method than Professor Lev Shetz!"

"At least as far as I can remember, no one has ever tried to solve the Hodge conjecture in this way."

Yang Yong's head shook violently.

A very different approach!

Prove the weak form of a century of puzzles!

And it's just in the last two hours?!

This......

Is this the strength of Academician Lu?

The shock written in his eyes became more and more intense.

"He is worthy of being the first young scholar in the field of mathematics today," Wang Shicheng sighed softly with a shocked look in his eyes, "His understanding of differential manifolds and complex analysis and topology can be said to be incomplete." ”

Such scholars are not at the center of their mathematics......

It's a pity......

"Incredible...... Classify all manifolds in a given homotopy and your definition of a superelliptic curve......"

When Lu Zhou's last stroke stopped, looking at the equation on the blackboard, the young man's voice was already trembling a little.

It's not just shocking.

Even more ecstatic!

"Contemptible Chen Yang, Mathematics ...... Associate professor. ”

"Who the hell are you?"

Do you know the self-reported home before asking someone's name?

Although he is a "weirdo", he is quite polite.

Smiling, Lu Zhou gently rested the unused chalk under the blackboard and said lightly.

"Jinling Academy."

"Lu Zhou."

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(Thanks to the brothers for the monthly pass!) Continue to erupt today! Because uploading multiple chapters at a time may be stuck for a while, and it will probably come out in a few minutes~)