The so-called Hodge conjecture is a mathematical conjecture proposed by mathematician Hodge seventy years ago.
It is associated with six other mathematical conjectures and is called the world's top seven mathematical problems.
Although the Hodge conjecture is not necessarily the most difficult to prove, it is undoubtedly the most difficult of all puzzles to understand.
This is a highly specialized problem that only a very small number of professional mathematicians can truly understand:
For projective algebraic cluster spaces , on non-singular complex projective algebra varieties , any Hodge class can be expressed as a rational linear ( geometric ) combination of algebraic closed-chain classes.
This is the formulation of the Hodge conjecture.
Did you find that every technical term in this sentence is not understood?
If you don't understand, you're right!
The Hodge conjecture makes it clearer that the nature of modern mathematics makes much of it nearly impossible for ordinary people to grasp.
But it is precisely because of this that it is very famous.
When he learned that Xu Ning was preparing to leave Negative Dan, Professor He Zelin personally came to see him off.
Standing at the gate of Negative Dan University, Professor He Zelin glanced at the books Xu Ning was holding, and said in surprise: "You these books, I don't seem to have seen anyone read them for a long time, the content is more biased, wait!" These books seem to be related to the Hodge conjecture..."
"You're going to challenge the Hodge conjecture?!"
Professor He Zelin's eyes widened, and his slightly white beard was cocked.
- [What the hell, Hodge conjecture?] I seem to have heard of it somewhere, it's quite famous, but I can't remember it for a while. ]
——[Isn't this one of the world's seven major mathematical problems, I am so impressed, I used to specifically check whether the Goldbach conjecture is one of the seven major problems, and then found that it was not, but I remembered the Hodge conjecture.] ]
——[I remember that anyone who proves one of the world's seven major mathematical conjectures can get the prize of a million-meter knife, right, and the Hodge conjecture is one of them.] ]
——[Xu Ning really can't stop for a moment, from Sitapan guessing the Koratz conjecture to the current Hodge conjecture, Xu Ning has embarked on a road to becoming a god...]
——[Strange, why didn't anyone mock Xu Ning this time, every time Xu Ning wanted to do something before, someone always jumped out and said that he definitely couldn't do it, and he was all dumb at this time? ]
——[After the last two incidents, it is estimated that no one dares to casually say that Xu Ning can't do it, after all, some people's faces have long been swollen, and they haven't disappeared until now hahaha! ]
When netizens were excited to discuss, Xu Ning said: "It is indeed the Hodge conjecture. "
Professor He Zelin was shocked: "The Hodge conjecture turned out to be your next target!" "
He had also seen Xu Ning's previous interview video.
In the video, Xu Ning said that he hadn't thought about which target to challenge yet, but he didn't expect that after spending half a day in the negative dan library, he directly eyed the Hodge conjecture!
The outside world only knows that the Hodge conjecture is one of the world's seven major problems, which is very famous and difficult to prove.
But Professor He Zelin knew the true meaning of Hodge's conjecture.
If it is proven, one can establish a fundamental connection between the three disciplines of algebraic geometry, analysis, and topology!
This is a great achievement across disciplines!
Its significance is ten times more important than the Sitapan conjecture and the Korats conjecture combined!
Naturally, it is also definitely ten times more difficult than the previous two!
Arguably, if anyone can prove the Hodge conjecture, he will undoubtedly become one of the greatest mathematicians of this century!
"Are you serious?" Professor He Zelin felt that his mouth was trembling.
Xu Ning said indifferently: "Yes, it is my next target!" "
Professor He Zelin took a deep breath and said, "I hope you can succeed, and if you succeed, you will reach one of the greatest academic achievements of the century!" "
Looking at Xu Ning's confident and firm eyes, He Zelin patted him on the shoulder and continued: "However, if you really find it difficult, you don't have to force it.
Not every mathematical puzzle needs to be solved immediately, the times are constantly evolving, mathematical tools are also evolving, many problems cannot be solved now, may be able to be easily solved later, so don't get into a dead end. "
After saying that, he felt that these words were too depressing, which slightly dampened Xu Ning's enthusiasm, so he added: "All in all, success is gratifying, defeat is okay, calm down, I wait for your good news!" "
Xu Ning smiled when he heard this: "It won't be long..."
After speaking, Xu Ning got into the car, waved goodbye, and the car left Negative Dan University.
Only Professor He Zelin was left standing in place, thinking back to what Xu Ning said, "It won't be long."
"Young people are confident, radiant!"
Professor He Zelin was envious of Xu Ning's state.
Once upon a time, he was also motivated to challenge various problems.
Although there are many failures, with his hard work and tenacious perseverance, he can always achieve some results.
On the contrary, although he is now a first-class mathematician in China, his momentum is gone.
However, Professor He Zelin did not want to change.
Because I am really old, my brain is not as flexible as when I was young, and I am not energetic enough.
From now until retirement, you can make steady progress in your field.
"More unknown fields, still need young people to break in
..."
Professor He Zelin muttered.
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