Yang Yongan was stunned.
The young man with glasses was also stunned.
The atmosphere froze for a few seconds.
"… Hodge conjecture?"
Yang Yongan had a strange expression on his face as he looked at the blackboard and then at the young man. It was hard to tell if he was looking at a crazy person or an idiot.
He used to think that this guy was a weirdo.
He heard that ever since this guy started working at the International Mathematics Research Center, he had been researching some incomprehensible things. Because he couldn't produce any results, even his office was given to a newcomer.
If it was someone else, they would have resigned already. However, this guy was different. After he was kicked out of the office, he moved a small stool and sat here.
Lu Zhou didn't know if this guy was really stupid or not, but he didn't feel like he was being bullied at all. When people asked him why he didn't leave, he just casually said, "I like the quietness here" and then continued to do his own things.
When Yang Yongan first joined the mathematics center, he thought that Lu Zhou was a scholar like Chen Jingrun. However, after some time, Yang Yongan started to doubt his own thoughts. Over time, Yang Yongan started to treat Lu Zhou the same way as his other colleagues. Lu Zhou didn't treat Yang Yongan well at all.
After all, it had been two or three years. Including the time this guy had been sitting here, it had been four or five years. If he couldn't produce any results in four or five years, then he was no different than a piece of trash.
Ignoring the time spent studying, a mathematician's golden years were only ten or twenty years. Spending four or five years on a problem that he couldn't solve was too stupid.
Now that Lu Zhou heard that this guy was actually researching the Millennium Prize Problems, he was even more certain of his guess.
This guy is probably crazy.
Even though the young man with glasses was looking at him like he was an idiot, he didn't feel anything. He just looked at Lu Zhou and pushed his glasses up.
"You … Can you tell what I'm researching?"
If the old people at the mathematics center could tell what he was researching, then it wouldn't be surprising.
However, it was a little scary for someone who had just met him for the first time, or even the first time they had seen what he had written on the blackboard, to be able to recognize what he was studying.
After all, for most people, mathematics was separated by different research fields. It was like there was a mountain between mathematics and different fields. Asking people who studied partial differential equations to understand the complex continuous changes in topology was no different than asking a physicist to memorize the complex names of reactions in organic chemistry.
This was especially true for a problem like the Hodge conjecture. Even people who had some understanding of this field might not be able to understand what he had written on the blackboard.
Furthermore, this was only his draft. Not a single word showed that it was related to Hodge's conjecture.
Unless …
He was also a scholar in this field!
Thinking of this, a hint of interest gradually appeared in his emotionless eyes.
Lu Zhou smiled and said, "It's not difficult to see this. Other than the Hodge conjecture, there are very few non-singular complex algebraic clusters that can have such a wonderful relationship with the polynomial equation that defines its subclusters. However, for people who don't understand this field, it's not easy to see. After all, the more difficult the problem, the more complex the expression, the more unpopular it is. "
"Yeah," said the young man with a hint of emotion in his emotionless eyes. He sighed and said, "I've been here for almost five years, and there's no one I can talk to."
"Not really, maybe some people understand it, but they just don't want to talk to you." Lu Zhou smiled and reached out his right hand. He said, "Can I borrow some chalk?"
The young man pushed his glasses up and handed out the chalk in his hand.
"Please … But there aren't many spots on the blackboard."
"That's fine." Lu Zhou looked at Yang Yongan next to him and said, "Professor Yang, please help me get a blackboard."
Yang Yongan, who was still stunned, suddenly came back to his senses and quickly nodded.
"Okay, okay! Wait a minute, there's no shortage of blackboards here! "
He trotted to the nearest building and soon returned with two noob researchers. They dragged a blackboard on a roller bracket to the big banyan tree.
Lu Zhou smiled and nodded at the three people to express his gratitude. He then stopped smiling and stared at the blackboard for a while. He then picked up the chalk in his hand and wrote on it.
[According to the Lefschetz-Hyperplane theorem, the inclusion mapping i: X ^ n (d) → CP ^ (n + r) is n-equivalence, so X ^ n (d) and CP ^ n have the same n-skeleton …]
…
Actually, the Hodge conjecture wasn't Lu Zhou's research field.
However, because this conjecture was related to the Cauchy – Riemann equation, Lu Zhou wasn't unfamiliar with it. Also, this unknown young scholar's application of the hyperelliptic curve analysis method on the blackboard gave Lu Zhou some inspiration.
If the Riemann conjecture could build a bridge between algebra and geometry, then the solution to the Hodge conjecture would be similar to the Aditya Singer index theorem. It would be similar to the other three branches of mathematics, which were mathematical analysis, topology, and algebraic geometry.
Of course, he wasn't trying to prove the Hodge conjecture.
After all, even he wouldn't be able to solve a problem that was recognized by the Clay Institute and the entire mathematics community in such a short period of time.
However, the Hodge conjecture was the same as the Riemann conjecture; it had many weak forms.
For example, for the H ^ 2 case, the Hodge conjecture was valid!
Lu Zhou was engrossed in his calculations. In a building not far from here, the 60 people who had passed the IMO national training team had just finished listening to Academician Wang Shicheng, the former chairman of the Chinese Mathematics Society. It was free time for them to relax.
Sitting next to the window, the boy wearing a cap was flipping through the book in his hand. At this moment, the chubby boy sitting in front of him suddenly turned around and looked at him with an excited expression.
"Brother Ji, someone's showing off in the yard!"
"Not interested."
The chubby boy saw that his friend wasn't interested, so he said, "I think it's some big name! I looked at it when I was in the bathroom, I didn't understand what he was writing! "
His delicate eyebrows finally raised with a hint of interest. He put down the book in his hand and glanced out the window.
"Let's go take a look!"
…
More and more equations appeared on the blackboard.
Unknowingly, there were already many onlookers standing at the side.
Most of the professors in the mathematics center recognized Lu Zhou's face. Even though it was a bit difficult to understand what he was writing, most of them were eagerly taking notes or listening attentively.
There were also some high school students who obviously didn't look like scholars. They were all members of the IMO national training team, "math geniuses" from all over the country.
However, as they stood there and looked at the strings of calculations that flowed like musical notes on the blackboard, the faces of these newbies were filled with confusion. At the same time, many of them were fascinated by the world that belonged to the masters.
One day, they would also be able to reach such heights.
The person standing under the tree at this moment, the formula that wrote the truth of the world, was their future!
The boy in the cap widened his eyes, and his shoulders trembled with excitement.
Fatty, who was standing next to him, glanced at his brother and asked blankly.
"Brother Ji, are you twitching?"
"God! This was a true god! I think I've seen him before … "
"No way, this is our first time at Yan University."
"No, no, I'm sure I remember correctly, let me think …"
After the lecture, Academician Wang Shicheng went to his office to drink some tea. He then slowly walked into the courtyard and was about to meet Academician Lu. He didn't expect Lu Shicheng to be one step ahead of him. Lu Shicheng was standing next to a blackboard and writing something.
Wang Shicheng frowned and walked forward. He stood next to the crowd and looked at the blackboard.
However, the second his eyes fell on the blackboard, his pupils involuntarily contracted.
Hodge's conjecture
Even though this was not his field of research, for a scholar like him who had been studying mathematics for decades, it wasn't difficult for him to recognize this conjecture.
Not to mention, he also recognized the famous "weirdo" standing next to Lu Zhou. It was Chen Yang, who had been studying the Hodge's conjecture for decades!
An hour passed by silently.
As the sun gradually set, the shadow of the banyan tree moved a few inches to the east.
Everyone consciously remained quiet.
Then, they heard a soft exclamation coming from behind them.
"… Hodge's conjecture for H ^ 2 … Amazing!"
When Yang Yongan heard this ghost-like voice, he nearly fell to the ground. He turned around and saw that Academician Wang Shicheng was standing behind him.
"Go, academician!"
"Shh, quiet down, don't disturb him," said Wang Shicheng as he pointed at the blackboard with his chin and said, "It's finishing up."
Calming himself down, Yang Yongan lowered his voice and asked respectfully.
"… So what you're saying is, he proved a weak form?"
"No, not exactly," said Wang Shicheng as he shook his head. He thought for a second and said, "If I remember correctly, this result was completed by Levschetz in the 1920s."
The old man paused for a second before he spoke.
"However, even though this isn't a new result, he used a completely different method than Professor Levschetz!
"As far as I know, no one has ever solved the Hodge's conjecture like this before."
Yang Yongan was shocked.
A completely different method!
He proved a weak form of a century-old conjecture!
And in just one or two hours?!
This …
Is this the strength of Academician Lu?
The shock in his eyes became more and more intense.
"No wonder he's the number one young scholar in mathematics," said Wang Shicheng. He had a look of shock in his eyes as he said, "His understanding of differential manifolds, complex analysis, and topology is incredible."
A scholar like this isn't in the mathematics center …
What a pity ah ….
"Unbelievable … Classifying all manifolds in a given homotopy type, and your definition of hyperelliptic curves …"
When Lu Zhou finished the last stroke, the young man's voice began to tremble as he looked at the calculations on the blackboard.
He wasn't just shocked.
There was even a hint of ecstasy in his eyes!
"My name is Chen Yang, mathematics … associate professor."
"Who the hell are you?"
You know how to introduce yourself before asking for someone's name?
Even though he's a "weirdo", he's quite polite.
Lu Zhou smiled and gently put the chalk under the blackboard as he spoke casually.
"Jin Ling mathematics department.
"Lu Zhou."
(Thank you for your monthly votes! Continue today! Because uploading multiple chapters at once might take a while, it should be done in a few minutes ~)
You've already exceeded your reading limit for today. If you want to read more, please log in.
Login
Select text and click 'Report' to let us know about any bad translation.
