Scholar's Cultivation System Panel
Chapter 112 Hodge Conjecture Proof Method 【Subscription】
At this moment, only the item information remained in Xu Yun's line of sight, and he focused on carefully checking it.
——
Item: Hodge conjecture proof method
Category: Drawings
Explanation: Prove the precise formula of Hodge's conjecture and its complete process.
"This is the proof of the Hodge conjecture of the world's seven major mathematical problems, and I have actually extracted it."
As the above information came into view, he looked a little dazed, as if he couldn't believe it for a while.
As a student majoring in Mathematics and Applied Mathematics, I don't know all the problems in the mathematics world, but I understand a little bit.
The Millennium North American Clay Institute of Mathematics released seven major mathematical problems to the world.
As long as the prover publishes the solution in a world-renowned mathematics journal for two years and is recognized by the mathematics community, he can receive a million-dollar reward from the Clay Institute of Mathematics.
The Hodge conjecture is one of them.
Xu Yun knew that Hodge's conjecture is a major unsolved problem in algebraic geometry. It is a related conjecture about the algebraic topology of nonsingular complex algebraic varieties and its geometry expressed by polynomial equations defining subvarieties.
Simply put, given a random shape, it can be homeomorphic to a shape described by a polynomial.
The reason why Hodge's conjecture is very important to the development of mathematics is that its proof will connect two important areas of mathematics, algebraic geometry and topology.
Let mathematicians unify the two fields to some extent.
In actual work, under normal circumstances, we cannot draw a complex multi-dimensional figure on a two-dimensional plane of paper. Hodge's conjecture is to split the complex topological figure into a large number of components, so that it only needs to be installed according to the rules. Can understand the meaning of the designer.
It is conceivable that once this conjecture is proved, what a sensation it will cause in the mathematics world.
Not to mention being able to publish papers in the Annual Journal of Mathematics, I am afraid that even the Fields Medal will be more valuable because it is awarded to the prover.
Ever since he published the paper on the image restoration algorithm, he has always had the idea of publishing a mathematical paper.
After all, mathematics is his main field, and his achievements are not as good as other fields.
I just didn't expect his first paper to explode like this.
Knowing the value of this blueprint, he didn't have any delay, and immediately checked the specific content on it in the next second.
With the slight movement of consciousness, the whole set of proof steps of Hodge's conjecture directly emerged in his mind.
But soon he frowned tightly.
"I don't understand it at all."
Hodge's conjecture mainly involves two important areas of mathematics, algebraic geometry and topology, and the mathematical analysis linear algebra and abstract algebra he is currently studying are still basic things. In particular, topology and functional analysis have not been touched, and it is normal to be unable to understand the proof formula and process for the time being.
But in this way, it is impossible to publish this proof in a short time.
At least until he fully understands it.
Otherwise, it will be published directly in the Annals of Mathematics, and it will be impossible to answer the inquiries of the world's top mathematicians easily.
But I have to say that this proof process ignited his fighting spirit, and a strong desire for mathematical knowledge emerged in his heart.
Also, he didn't have the idea of using brain overclocking to help understand the proof.
Based on past experience, it can be concluded that the higher his own level is, the less points he will consume to activate brain overclocking learning or solve problems.
If he turns on his brain overclocking to learn abstract algebra now, the points consumed will definitely be much less than before.
But the Hodge conjecture proved different.
It contains too much knowledge that has not yet been learned, so it is bound to require a lot of points to master it.
The more than 300 points he currently has is not enough.
Rather than wasting it in vain, it is better to keep it for the time being and use it on the edge of the knife.
"It seems that when we go back to school, we need to ask Professor Tang more about algebra. I hope the answer to this proof can be made public as soon as possible."
The thought stayed here, and Xu Yun secretly thought about the future plan in his heart.
After drawing such a high-value item, he immediately lost interest in the last random reward. He didn't care much about it and directly used his consciousness to control the wheel to spin again.
Soon when the roulette slowly slowed down and stopped, the item information also came into view.
As expected, it was just a normal drink.
Thinking about it, it’s actually normal. Every time a random reward is drawn, the currently known categories have corresponding probabilities. I’m afraid that the proof process of getting Hodge’s conjecture has exhausted today’s luck. Not surprising.
After finishing the drawing of random rewards, Xu Yun read abstract algebra again and lay down on the bed to rest.
...
Originally, according to the normal school start time, it would be after the Lantern Festival, but because Hodge guessed that he really couldn't wait, after consideration, he decided to return to school before the festival.
Because Li Hui started school later than him, and he returned to Jingzhou City earlier, the two did not set off together.
"I didn't expect you to come earlier than me. How are you doing at home this winter vacation?"
February 19, 2016, Jingzhou University, male dormitory for mathematics and applied mathematics majors.
In the afternoon Xu Yun pushed open the bedroom door and dragged his luggage in, and suddenly saw Zhou Qi sitting at the desk.
Greeting each other with a smile on his face, he began to organize the luggage he brought over.
Before returning to school, he sent a message in the dormitory group, knowing that Zhou Qi also planned to come early, but he was a little surprised that the other party was one step ahead of him.
"not so good."
Zhou Qi shook his head and then, as if he had finally found someone to confide in, he immediately turned around and told what happened to him.
"There are a lot of things at home, and every day I quarrel, I have a nervous breakdown."
"So seeing you returning to school early, I bought a ticket and came here without saying a word."
Xu Yun knew that there were more people in Zhou Qi's family, especially during the Chinese New Year when a few children stayed together and made a fuss, it would really easily upset those who like to be clean.
If the time is long, it may also lead to neurasthenia.
It is estimated that if he was not alone in the dormitory, he might have run back after the Chinese New Year.
And just as Xu Yun put the clothes in the suitcase into the cabinet, Zhou Qi's voice came from next to his ear.
"By the way, Xu Yun, the score of the CET-4 can be checked. I checked it just now and it is considered a stable pass."
"Is the score checking open today? I haven't had time to check it yet." Xu Yun turned around and was a little surprised when he heard this.
"Check it out here?" Zhou Qi replied casually.
"Okay."
Thinking that his computer hadn't turned on yet, Xu Yun didn't refuse, and immediately walked over to ask Zhou Qi to enter his account number.
Soon when the page was refreshed, Zhou Qi's eyes widened when he saw the total score displayed on the screen.
"Hold the grass."
"Seven hundred points."
Even though he usually pays great attention to civilization, he couldn't help but swear at this moment.
It is no exaggeration to say that this score in CET-4 can almost be described as abnormal.
After all, this is no different from full marks.
Thinking that I only scored five or six hundred points, I immediately felt the difference between people.
"It's about the same as I expected, but it's a pity that I didn't get full marks."
Xu Yun obviously wanted to calm down, his eyes were fixed on the scores displayed on the screen, and his face remained calm.
He murmured regretfully, then took out his phone and took a picture of the computer screen.
He found that since he posted the final exam results in the sophomore department group, the whole group has become cold, and the latest news in the past so many days is still the conversation between him and that senior Zhang.
Obviously, it was the group that asked him about his grades.
Wanting to enliven the atmosphere in the lower group, he sent the Level 4 results he had just photographed to the group again.
And add a paragraph.
"The results of Level 4 came out today. Have all the seniors and sisters who took the Level 4 test checked their scores?"
For the official group in the department, even if no one sends messages in the group, there is still no shortage of diving. Therefore, seeing Xu Yun suddenly dumped another photo into the group, I still couldn’t resist the temptation of curiosity. Click on the picture to view the content.
Then he took another critical blow.
Is this a score that a human can get?
The written and oral exams were almost full marks, obviously to stimulate them.
Why should I be mean.
While mourning in their hearts, it was even more lore for some people who only took the fourth grade in their sophomore year.
Thinking that I didn't sign up for CET-4 until I was a sophomore, and my score was not too high, but my freshman almost got a full score in the first semester, there is really no way to compare the two.
The emotions are gradually going up and down, and I just hope that an administrator can come and invite this 15th grade student out.
But just when they were about to send a message back, they noticed that Zhang Xiaoyuan had already replied.
"It's really good to take the fourth-level exam when I was a freshman. I also took the exam at this time, but I didn't score as high as your junior."
After reading it, most of the anger in my heart dissipated immediately, and I gave up the plan of bubbling.
Still don't embarrass us this time.
Hide away.
Seeing only Zhang Xiaoyuan replying to him in the dormitory, Xu Yun couldn't help feeling secretly in his heart: "This senior Zhang is really a good person."
"Thank you, senior."
Quickly type these words with both hands and send them, then turn off the phone and put it on the table next to it.
It's a pity that the group of so many people is so cold, after all, his freshman group is quite lively.
At this time, he also found that his hexagonal warrior advanced mission had been successfully completed.
In addition to gaining 50 points again, his oral proficiency has also increased to 40%.
After a simple trial in the dormitory, he found that the improved oral proficiency not only made his Mandarin more standard, but also had a magnetic taste when speaking other languages besides English, as if listening to him was a very comfortable and immersive thing.
Even Zhou Qi couldn't help turning around, his eyes were full of shock and admiration.
"Xu Yun."
"How many languages have you learned? Are you really good at speaking?"
Facing Zhou Qi's shock, Xu Yun replied casually with a smile on the corner of his mouth: "I just said a few words, I didn't learn much else." After all, such a good ability cannot be wasted.
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