At this moment, Xu Yun only had item information left in his sight, and he concentrated on looking at it carefully.
——
Item: How to prove Hodge’s conjecture
Category: Drawings
Explanation: The precise formula and complete process of proving Hodge's conjecture.
"This is the proof of Hodge's conjecture for the seven most difficult mathematical problems in the world, and I actually extracted it."
As the above information came into his eyes, he looked a little dazed, as if he didn't dare to believe it for a while.
As a student majoring in mathematics and applied mathematics, I don’t say that I know all the difficult problems in mathematics, but I understand some of them.
Millennium North America's Clay Mathematics Institute releases 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 will receive a million-dollar reward from the Clay Mathematics Institute.
And the Hodge conjecture is one of them.
Xu Yun knows that the Hodge conjecture is a major unsolved problem in algebraic geometry. It is a related conjecture about the algebraic topology of non-singular complex algebraic varieties and the geometry expressed by the polynomial equations that define the sub-varieties.
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 the two important mathematical fields of algebraic geometry and topology.
Let mathematicians unify the two fields to some extent.
When applied to actual work, under normal circumstances we cannot draw a complex multi-dimensional figure on a two-dimensional plane. 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. You can understand what the designer meant.
You can imagine what kind of sensation this conjecture will cause in the mathematical community once it is proven.
Not to mention being able to publish a paper 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 image restoration algorithm, he has always had the idea of publishing a mathematics paper.
After all, mathematics is his main field. How can he do it if his achievements are not as good as those in other fields?
I just didn't expect that his first paper would be such an explosion.
Understanding the value of this drawing, he didn't waste any time and immediately checked the specific contents within the next second.
With a slight movement of consciousness, the entire set of steps to prove Hodge's conjecture appeared directly in his mind.
But soon he frowned.
"I can't understand it at all."
Hodge's conjecture mainly involves the two important mathematical fields of algebraic geometry and topology, and the mathematical analysis, linear algebra and abstract algebra he is currently studying are still basic. In particular, I have not been exposed to topology and functional analysis, so it is normal that I cannot understand the proof formulas and processes for the time being.
However, as a result, it is impossible to publish this proof in a short time.
At least until he fully understands it.
Otherwise, if it is published directly in the Annual Journal of Mathematics, when the time comes to face inquiries from the world's top mathematicians, it will be impossible to respond easily and 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 had no intention of using brain overclocking to help understand the proof.
Based on past experience, it can be concluded that the higher his own level, the less points it consumes to activate brain overclocking learning or solve problems.
If he turned on his brain overclocking to learn abstract algebra now, the points he would spend would definitely be much less than before.
But the Hodge conjecture proves otherwise.
It contains too much knowledge that has not yet been learned, so if you want to master it thoroughly, you will definitely need a lot of points.
The more than 300 points he currently has alone are not enough.
Rather than wasting it in vain, it is better to keep it temporarily and use it later to bring out its value on the blade.
"It seems that I will ask Professor Tang for more algebra content when I return to school. I hope the answer to this proof can be made public as soon as possible."
His thoughts stayed here, and Xu Yun was secretly thinking about his future plans.
After drawing such a high-value item, he immediately lost interest in the last random reward, and without paying much attention, he used his consciousness to control the roulette wheel to spin again.
Soon, when the roulette wheel slowly slowed down and stopped, the item information also came into view.
As expected, it was just a bottle of ordinary drink.
It's actually normal when you think about it. Every time a random reward is drawn, several currently known categories have corresponding probabilities. I'm afraid that the process of proving the Hodge conjecture has exhausted today's luck, so no matter what is drawn last time Not weird.
After finishing the drawing of random rewards, Xu Yun read abstract algebra for a while and then lay down on the bed to rest.
…
Originally, the normal start time was not until after the Lantern Festival, but because Hodge's conjecture made him impatient, he decided to return to school before the festival after careful consideration.
Since Li Hui started school later than him and he returned to Jingzhou City early, the two of them did not set off together.
"I didn't expect you to come earlier than me. How are you spending this winter vacation at home?"
February 19, 2016, Jingzhou University, male dormitory of Mathematics and Applied Mathematics major.
In the afternoon, Xu Yun opened the bedroom door and pulled his luggage in. He immediately saw Zhou Qi sitting at the desk.
He greeted the other party with a smile and began to pack the luggage he had brought.
Before returning to school, he sent a message to the dormitory group and knew that Zhou Qi also planned to come over 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 talk to, he immediately turned around and told his story.
"There are a lot of things going on at home, and the noise every day makes me have a nervous breakdown."
"So when I saw you returning to school early, I bought a ticket and came over without saying anything."
Xu Yun knew that Zhou Qi's family had more people, especially during the Chinese New Year when several children stayed together and made noise, which would easily upset people who like to keep quiet.
If it lasts for a long time, you may suffer from neurasthenia.
It is estimated that if he hadn't been the only one in the dormitory, he would have run back after the New Year.
And just as Xu Yun was putting the clothes in the suitcase into the cabinet, Zhou Qi's voice came to his ears again.
"By the way, Xu Yun, you can check your scores for the CET-4 test. I just checked and it's considered a safe pass."
"Is the score check open today? I haven't had time to see it yet." Xu Yun turned around and was a little surprised when he heard this.
"Can I check it out?" Zhou Qi replied casually.
"Okay."
Thinking that his computer hadn't been 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 refreshed, Zhou Qi's eyes widened when he saw the total score displayed on the screen.
"Hold the grass."
"It's actually 700 points."
Even though he usually pays great attention to civility, he couldn't help but use foul language at this moment.
It is no exaggeration to say that being able to achieve this score in CET-4 can almost be described as abnormal.
After all, this is no different from a perfect score.
Thinking that I was only five or six hundred percent, I suddenly felt the differences between people.
"It's pretty much what I expected, but unfortunately I didn't get a perfect score."
Xu Yun obviously wanted to calm down, and his face remained calm as he stared at the scores displayed on the screen.
He murmured a little regretfully, then took out his mobile phone and took a picture of the computer screen.
He found that ever since he posted his final exam results in the sophomore department group, the entire group had gone cold. The latest news in the past few days was still the conversation between him and Senior Zhang.
It was obviously someone in the group who took the initiative to ask about his grades.
Wanting to liven up the atmosphere in the group, he sent the Level 4 results he had just taken to the group.
And add a paragraph.
"The results of CET-4 are out today. Have all the seniors and seniors who took CET-4 checked their scores?"
For the official group of the department, even if no one posts messages in the group, there is still no shortage of people diving. Therefore, when I saw Xu Yun suddenly posted another photo to the group, I still couldn't resist the temptation of curiosity. Click on the image to view the content.
Then he took another critical hit.
Is this a score that a person can get?
The written and oral tests were almost full marks, which was obviously meant to stimulate them.
Why should I be mean?
While wailing in their hearts, it is even more devastating for some people who have only taken the Level 4 exam in their sophomore year.
It occurred to me that I didn’t sign up for Level 4 until my sophomore year, and my score wasn’t too high, but I almost got full marks in the first semester of my freshman year. There’s really no way to compare the two.
My emotions were gradually rising and falling, and I just hoped that an administrator would come and ask this 15th-year student to get out.
But just when they were about to send a message to reply, they noticed that Zhang Xiaoyuan had already replied.
"It's really good to take the CET-4 exam just before my freshman year. I also took the exam at this time, but you didn't get as high a score as my junior."
After reading it, most of the anger in my heart dissipated immediately, and I gave up the plan of bubbling up.
It’s better not to embarrass our class.
Hidden, hidden.
In the dormitory, Xu Yun saw that only Zhang Xiaoyuan responded to him, and couldn't help but sigh in his heart: "This Senior Zhang is such a good person."
"Thank you, senior."
Type these words quickly with both hands and send them out, turn off the phone and put it on the table next to you.
It was a pity that the group of so many people was so cold. After all, his freshmen group was quite lively.
At this time, he also found that his hexagonal warrior advanced mission was successfully completed.
In addition to gaining fifty points again, his oral proficiency has also increased to 40%.
After a brief trial in the dormitory, he found that his improved oral proficiency not only made his Mandarin more standard, but also had a magnetic flavor when speaking other languages besides English, as if listening to him speak was a very comfortable and immersive thing.
Even Zhou Qi couldn't help but turn around, his eyes filled with shock and admiration.
"Xu Yun."
"How many languages have you learned? Are you very good at speaking them?"
Facing Zhou Qi's shock, Xu Yun replied casually with a smile on his face: "I will just say a few words, and I didn't learn much else." But at the same time, he was thinking about whether he should take the time to master a few more languages in the future. After all, we can't let such good abilities go to waste.
(End of chapter)