Chapter 906 Who Are You? ! (4/4)

Chapter 906 Who Are You? ! (44)

Yang Yongan was stunned.

The young man with glasses was also stunned.

The air froze for a few seconds.

"...Hodge conjecture?"

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

He just thought the guy was a weirdo before.

I heard that this guy has been researching some incomprehensible things without listening to the outside world since he joined the International Mathematical Research Center, because he couldn't produce any results, and even the office was vacated for newcomers.

If it was a person who understood the world, he would 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, this guy not only doesn't feel bullied at all, when asked why he didn't leave, he just casually replied "I like the quiet here", and then continued to do his own things .

When he first joined the Mathematics Center of Hidden Dragon and Crouching Tiger, Yang Yongan thought that this guy was the kind of Chen Jingrun-style scholar who said, “If you don’t make a name for yourself, you will become a blockbuster”. However, after a long time, he got acquainted here, and he gradually doubted himself. Over time, like other colleagues here, he didn't give him a good look.

After all, it has been two or three years, including the time this guy has been sitting here, it may have been four or five years. If you can't produce one result in four or five years, such a person has two brushes, and he is no different from a waste.

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

Now that he heard that this guy was delusional in studying the millennium problem, he became more certain of his guess.

This guy is probably crazy.

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

"You...see what I'm researching?"

He wouldn't be surprised if some old people in the mathematics center saw what he was researching.

But to be recognized by someone who is meeting for the first time, or even seeing what you have written on the blackboard for the first time, what problem you are working on, it is a little scary.

After all, mathematics, for most people, is like a mountain across different research fields. Wanting people who study partial differential equations to understand complex continuous changes in topology is no different from asking physicists to memorize those complex names and reactions in organic chemistry.

Especially for century-old problems like the Hodge conjecture, even those who have some knowledge in this field may not be able to understand what they wrote on the blackboard because of the different research ideas they choose.

What's more, this is just his draft, and there is no word showing that it is related to Hodge's conjecture.

unless……

He is also a scholar engaged in research in this field!

Thinking of this, a hint of interest gradually appeared in the pupils that had no emotional ups and downs.

Lu Zhou smiled and said: "It is not difficult to see this, except for Hodge's conjecture, there are very few algebraic topologies of non-singular complex algebraic varieties that can be so wonderfully related to polynomial equations that define subvarieties. Relevance. But for those who don’t know this field, is it really easy to see, after all, the more difficult the topic, the more complicated the expression, the more unpopular it is.”

"Yeah." There was finally a hint of emotion or excitement in the pupils that didn't have much emotional ups and downs. The young man sighed and said, "I've been here for almost five years. A person who can discuss nothing."

"That's not enough, 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 I borrow some chalk?"

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

"Please...but there aren't many spaces left on the blackboard."

"It's not in the way," Lu Zhou said, looking at Yang Yong'an beside him, "Professor Yang, please help me get the blackboard here."

After being accosted by Lu Zhou, Yang Yongan, who was still there in a daze, suddenly came back to his senses and nodded quickly.

"Okay, okay! Please wait a moment, the most indispensable thing here is the blackboard!"

As he spoke, he trotted to the nearest side building, and soon brought two scientific research dogs and dragged a blackboard on a roller bracket back to the side of the big banyan tree.

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

[It can be seen from the Lefschetz-Hyperplane theorem that the inclusion of 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, Hodge's conjecture is not Lu Zhou's research field.

However, because of the inherent connection between this problem and the Cauchy-Riemann equation, Lu Zhou is not unfamiliar with it. Moreover, the application of the hyperelliptic curve analysis method made by this unknown young scholar on the blackboard gave Lu Zhou some inspiration.

If the research of Riemann's conjecture can build a bridge between algebra and geometry, then similar to the Atiyah-Singer index theorem, the solution of Hodge's conjecture will be solved in the other three branches of mathematics—namely, mathematical analysis, Find some basic internal connection between topology and algebraic geometry.

Of course, he is not trying to prove the Hodge conjecture.

After all, even he couldn't solve a difficult problem recognized by the Clay Institute and the entire mathematics community that would take a century to solve in such a short period of time.

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

For example, for the case of H^2, the Hodge conjecture holds true!

While Lu Zhou was concentrating on his calculations, in the side building not far from here, the 60 people who passed the examination and were selected for the national training team of the IMO competition had just listened to the lectures given by the old academician Wang Shicheng, the former chairman of the Huaguo Mathematical Society. , now is the break time for free activities.

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

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

"Not interested in."

Seeing that his buddy was not interested, the little fat man continued unwillingly: "It seems to be a king-level bull! I just glanced at it when I passed by the toilet, and I couldn't understand what he wrote!"

The delicate eyebrows finally raised an arc of interest, and the boy in the cap put down the book in his hand, and glanced out the window.

"Go, take a look!"

...

There are more and more calculations on the blackboard.

Before he knew it, there were already many onlookers standing beside him.

Most of the professors in the mathematics center recognized Lu Zhou's face. Although it was a bit difficult to understand what he wrote, most of them sat down and took notes eagerly or listened attentively.

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

However, standing here at this moment, looking at the strings of formulas flowing like musical notes on the blackboard, besides the bewilderment written on the faces of these little buddies, there are also many people who have a feeling for this world of masters. A trace of fascination.

One day, they too can 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 eyes of the boy in the peaked cap were rounded, and his shoulders were shaking excitedly.

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

"Brother Ji, why are you convulsing?"

"Great God! This is the real Great God! I seem to have seen him somewhere..."

"Impossible, this is the first time we have come to Yanda."

"No, no, I'm sure I remember correctly, let me think about it again..."

After finishing the lecture, he went to the office to have a sip of tea, and walked slowly to Academician Wang Shicheng in the yard. He was about to meet Academician Lu who came from afar, but he did not expect that he had already arrived one step ahead and was standing on a blackboard There is something written next to it.

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

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

Hodge conjecture

Although this is not his research field, it is not difficult to recognize this point for a veteran scholar like him who has studied mathematics for decades.

What's more, he also recognized the famous "weird" in the mathematics center standing next to Lu Zhou. It was Chen Yang who had devoted himself to studying Hodge's conjecture for more than ten years, and never turned back until he hit the south wall!

An hour passed in silence.

With the sun gradually slanting westward, the shadow of the banyan tree moved a few inches to the east unconsciously.

Everyone consciously kept quiet.

Until a soft exclamation floated from behind.

"...Hodge's conjecture holds true for H^2... amazing!"

Hearing this voice floating like a ghost, Yang Yongan almost fell down in fright. Looking back, he realized that at some point, the old academician Wang Shicheng was standing behind him.

"Go to the academy, Academician!"

"Hush, keep your voice down, don't disturb others," Wang Shicheng pointed his chin in the direction of the blackboard, "It's finishing up."

Gathering his mind, Yang Yongan lowered his voice and asked respectfully.

"...You mean, he proved a weak form?"

"No, it can't be counted as his proof." Wang Shicheng shook his head with a sinking face, and said after a moment of contemplation, "If I remember correctly, this achievement was made by Levsets in the 1920s. finished."

After a pause, the old man continued.

"However, although this is not a novel result, he used a completely different method from Professor Levschetz!"

"At least in my impression, no one has ever solved Hodge's conjecture in this way."

Yang Yongan's heart trembled.

Very different approach!

Proves a weak form of a century-old puzzle!

And just within this two hours? !

This……

Is this the strength of Academician Lu?

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

"As expected, he is the number one young scholar in mathematics today." Wang Shicheng sighed softly with the same shocking look in his eyes, "His understanding of differential manifolds, complex analysis, and topology can be said to be very penetrating."

Such scholars are not at their mathematical center...

It's really a pity...

"Inconceivable...the classification of all manifolds in a given homotopy, and your definition of hyperelliptic curves..."

When Lu Zhou stopped his last stroke and looked at the formula on the blackboard, the young man's voice was trembling.

It wasn't just shocking.

And with a bit of ecstasy!

"My lord, Chen Yang, Mathematics...Associate Professor."

"who are you?"

Knowing the self-reported family name before asking the person's name?

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

Smiling, Lu Zhou put the unused chalk under the blackboard and said casually.

"Jinling Number Academy."

"Lu Zhou."

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