Hard work is never scary.

The scary thing is that working hard without knowing the direction, struggling without knowing the result, is like Wu Gang cutting down trees day and night, Sisyphus pushing the stone up the mountain, working hard but without any change, that is the most despairing thing.

Now that he knew that probability theory was very helpful in solving the Hodge conjecture, Xu Shengzhou felt as if he had been given a shot of chicken blood, and he was suddenly full of energy.

Probability theory, here I come!

As Beijing Normal University, which once firmly dominated the country's leading position in probability theory and mathematical statistics, its various research directions and research results in various periods of probability theory may not be the most comprehensive in the country, but it can definitely be among the top three. Xu Shengzhou is like a mouse dropped

After entering the rice vat, I began to frantically conquer the city and moved all the potentially helpful monographs and magazines from the courtyard library to my office in batches.

Zhang Anping was really happy and surprised when he saw that Xu Shengzhou was suddenly interested in probability theory.

The good news is that there is hope for the revitalization of probability theory. The publication of the Big Four, "PTRF" and "AOP" is just around the corner. It is no longer a dream for traditional dominant disciplines to return to their peak!

Shocked, Hodge guessed what to do?

After all, he has already released the news through explicit or covert channels. How will he tell the outside world then?

I accepted all the gifts!

Don’t play like this!

Several times Zhang Anping met Xu Shengzhou in the corridor and wanted to persuade him to think clearly: learning probability theory will leave at most a few theorems in a corner of a mathematics book; solving the Hodge conjecture will take a long time.

He wrote a single chapter and a biography in the history of mathematics!

Or to put it another way: No matter how good the probability theory is, the school can only follow the footsteps of Yanda and Liumei. After solving the Hodge conjecture, Yanda and Liumei are our younger brothers!

But in the end, Zhang Anping chose to let go of his desire to help others and respect the fate of others.

A very simple fact is that with Zhang Anping's shallow understanding of Hodge's conjecture, there is no hope of completely solving this problem in the short term. At least not like in the 1980s, with Faltings's proof

Model's conjecture, Libet's proof of Frey's proposition, and Fermat's last theorem have been well established. Many scholars have launched a general attack on Fermat's last theorem. The final suspense is just who has picked the fruits of victory.

Before that, how many famous mathematicians had been tripped up by Fermat’s Last Theorem?

Euler, Cauchy, Lebesgue...

How many mathematicians have said harsh words like "I have proved Fermat's last theorem" and were slapped in the face in the end?

Xu Shengzhou said that he had found an ingenious proof of Hodge's conjecture. It was probably like Fermat said, "I am convinced that I have discovered a wonderful proof, but it is a pity that the blank space here is too small to write down." After this paragraph

After working hard for a long time, I finally found that the flash of inspiration in the past was just a mirror.

It is a wise move to withdraw decisively when things cannot be done.

Moreover, as long as a genius like Xu Shengzhou is willing to work hard, he can still shine in any branch of mathematics?

As the weather gradually gets colder, it becomes increasingly difficult for Xu Shengzhou to get up early and run every day. It requires tremendous efforts to overcome the constraints of the quilt, open the door of the dormitory, and walk into the biting cold wind. That is, from

At this moment, my head gradually woke up and I began to continue thinking about yesterday's thoughts.

Sometimes, there will be some wonderful and incredible ideas in dreams, so you need to grab a piece of paper as soon as you wake up and scribble a few sentences on it. Otherwise, the inspiration will follow sleepiness and never return.

.

After washing and having breakfast, Xu Shengzhou would appear in the office on time, constantly reading documents, searching for information, and then writing and drawing.

Seeing Xu Shengzhou frowning every day, immersed in various mathematical formulas, like a sparrow trapped in a house but unable to find a way out, Hengping's already unbalanced mentality finally recovered a little: "

You finally look like you’re studying for graduate school now!”

Xu Shengzhou said: "Don't I look like me a few years ago?"

"It's not like that!" Hengping replied firmly, "Don't you believe it? Go to the graduate school classroom or go to the thesis meeting and see if any graduate student doesn't light up the lamp and boil oil for thesis, scratch his head and head, wishing to pull his hair out? It's just you, every now and then.

If you come to the school for a while, papers will come out like a gushing pipe, and the first one will be the 'Big Four', top journal. Do you know how many people are so envious that their eyes are red?"

Xu Shengzhou smiled and said: "I am a noble person in front of others, but suffer behind others. I spend all my efforts on things you don't see."

"Come on! I can't tell if you've worked hard or not? To use an inappropriate analogy, a normal person needs to spend 12% of his effort to get a PhD in mathematics. You only spent 20% or 30% of your effort before. Now,

That’s seventy or eighty percent.”

Xu Shengzhou said: "I didn't expect you to misunderstand me so deeply!"

"You know that well, right? By the way, what happened to the paper you promised?"

Xu Shengzhou tugged at his hair. It was fine and firm. There was no danger of hair loss: "It's not bad. I took the time to write a little. I'll see if I can finish it around the Spring Festival."

Repeatedly jumping between different subject branches is actually a kind of rest. Moreover, Mr. Cheng also agreed that he would take time to write one or two articles. So when he was tired of the Hodge conjecture, he would take the opportunity to ponder the modulus space theory. Some time ago,

He began to prove the equivalence of minimal rational curves passing through general points in modulus space and Hecke curves, and he has actually written some.

Heng Ping then asked: "What journal are you going to publish in? The 'Big Four'?"

"Let's read it after it's written! I don't know how it will turn out yet."

Heng Ping looked at the newly framed Mr. Cheng's inscription on the wall and suddenly asked: "Is it the encouragement from Academician Cheng that makes you work so hard recently?" Then he asked and answered himself thoughtfully, "It seems that when

I also want to ask him to write a message for me."

A few days later, Xu Shengzhou heard news one after another that Mr. Cheng was being asked for his words.

This chapter is not over yet, please click on the next page to continue reading!

Unexpectedly, Mr. Cheng, who has been engaged in mathematics research all his life, will one day enjoy the treatment of a calligrapher after retirement.

In the blink of an eye, it's New Year's Day. In the blink of an eye again, it's the time for winter vacation. The variety of food in the cafeteria is becoming increasingly scarce, and the number of teachers and students on campus is also becoming increasingly rare. There are only some poor children who cannot go home for various reasons.

Still holding on. But there is still a nasty hole in Xu Shengzhou’s paper that needs to be filled.

This vulnerability is critical and cannot be circumvented.

In the past two weeks, Xu Shengzhou has been trying to save or fill in, but there has been no breakthrough.

He knew that to solve this loophole, he no longer relied on hard thinking, but a flash of inspiration. But this was something that could only happen by chance! So he chose to give himself a holiday, packed his simple luggage and prepared to go south. The plan was to go back to school first.

After a few days, I will go home to celebrate the New Year.

On the way to the train station, he was still thinking about this loophole over and over, and his mind was filled with all kinds of clues that didn't work.

If you plant flowers intentionally, they won’t bloom, but if you plant willows unintentionally, they will create shade.

As soon as he sat down on the high-speed train seat, he felt as if he was hit by a light of inspiration, and a brilliant idea suddenly flashed across him. At that moment, it was as if the God of Mathematics came to have a conversation, and then his whole mind suddenly became enlightened, and all the problems were solved.

"At this step, you should use the Fourier transform, just like what the literature says... Don't consider the Laplace transform at all, but before inverting, first decompose it like this, and then divide it twice... It currently seems

, a bit like Yang's inequality... and then, similar to the proof of Minkowski's inequality... do variable substitutions and decompose integrals..."

Xu Shengzhou felt that he had completely converted into a semi-automatic state, and various exquisite proofs were constantly emerging in his mind, just like a large computer in operation, with lines of code flying across the screen.

I guess I can do it.

I'm sure, I can do it!

He quickly took out a pen and paper from his luggage and placed it on the small table in the second-class seat of the high-speed train. Under the strange and scrutinizing gazes of the passengers around him, he began to quickly calculate, verify, and write down all the details in detail, for fear that

Inspiration suddenly abandons itself.

He was calculating and thinking.

"Of course, this is how it should be handled... We will move forward based on this and add other elements... I have grasped the general direction. Now, it just requires a little patience... We have gradually entered a familiar framework.

Now it’s time for me to put my mathematical talents into play!...Now, I will use all my mathematical and physical experience, and will show my results with great pride!"

Throughout the journey, Xu Shengzhou worked hard to figure out the gifts given to him by the sudden inspiration.

This is a powerful proof idea, and a complete proof can successfully fill in the previous loopholes.

No, it is improved in a more general situation, which in a sense generalizes this situation, and can even be used to effectively solve the hail conjecture!

This is fate opening the door to wisdom and illuminating the way forward!

Before he knew it, the journey had reached the end, and the train announcement was announcing that it was about to arrive at Jinling South Station. Xu Shengzhou contentedly packed up a pile of manuscript papers filled with ghost drawings. He counted more than twenty sheets.

In the eyes of others, this is just a mess of rubbish. But to me, it is a priceless treasure!

A certain pretty young lady who had been watching the whole process finally got the chance to ask. She held her mobile phone in one hand and asked in an extremely admiring tone: "Excuse me, are you a mathematician?"

"You can be considered a mathematical researcher."

Although Professor Milne of the University of Michigan once believed that anyone who can independently publish three papers on the "Big Four" is a world-class mathematician. But Xu Shengzhou has always believed that he is just a mathematical researcher and not a mathematician.

.

The young lady asked again: "Then you are proving a very powerful conjecture?"

"You can say, yes."

"Has it been proven?"
Chapter completed!