Chapter 126 You Have Solved It
Xu Yuan didn't know that his juniors were already getting to know him. He returned to the dormitory as quickly as possible, and under the worried gazes of Li Zhenya and the others, he sat down at the table, took out a piece of scratch paper and a pen, and immediately began to calculate based on the formula he had just come up with in his mind.

Almost instantly, I was immersed in a deep learning state, confirming my guess in the best state.

He had a premonition.

If this formula can be proven to be useful, then we can find a new direction for proof.

Now that we have a way, we are not far from solving Qiu Chengtong's conjecture.

It was the first time that Li Zhenya, Wang Haitao and Liu Yang saw Xu Yuan so anxious.

And it's just for the sake of math.

Several people stood near the door, looking at Xu Yuan from afar.

"Nothing will happen, right? Could it be that Xu Yuan got upset after spending the whole summer at school?"

"It should be unlikely." Wang Haitao shook his head to deny Li Zhenya's guess.

Then express your own views.

"Brother Yuan went to the library to review with Senior Sister Chen this morning. They didn't break up, so why would they be upset?"

Li Zhenya and Liu Yang agreed with this statement, and they nodded their heads like chicks pecking at rice.

They have been with Xu Yuan for such a long time and they know very well how strong Xu Yuan is inside. They are afraid that even if their relationship really breaks down and they go their separate ways, he will adjust quickly and won't be too affected.

With this mentality, it is indeed difficult to be stimulated by the outside world.

"Maybe Brother Yuan has discovered something interesting. Let's not disturb him for now." Liu Yang said after thinking for a while.

"Then let's go eat first, and bring some for Xu Yuan when we come up."

"I can see it."

Li Zhenya and Wang Haitao quickly reached a consensus, then they lightly closed the door and went to the cafeteria.

After Xu Yuan entered the deep learning state, basically all external sounds and movements would be automatically blocked out, so the conversation between Li Zhenya and the other three would not have any impact.

As Xu Yuan was the only one left in the dormitory, the draft paper gradually filled up as time passed.

Only Xu Yuan's calculation speed was getting faster and faster, and the tip of his pen kept rustling across the draft paper.

Become the only sound left in this space.

However, after some time, Xu Yuan suddenly stopped writing after writing the last mathematical symbol, picked up the draft paper with both hands, and a look of joy appeared on his face.

"My idea was correct."

"By combining the formulas in this way, we can build a bridge connecting branches of mathematics such as differential geometry and algebraic geometry as well as multi-complex functions. As long as we continue to calculate, we will have a chance to prove this conjecture."

"After all this time, we have finally made progress."

Judging from the results he verified, the combined formula can indeed work.

Next, as long as he is given enough time, he will be able to continue to combine new formulas and eventually complete the Calabi conjecture that the first Chern class is positive.

The reason why he was so confident was that he kept an eye on the growth of the progress bar on the panel during the calculation process.

As of now, the progress bar has reached 50%.

This shows that he has completed more than half of the proof of the Calabi conjecture that the first Chern class is positive.

The key is that just because of this one formula, he was able to achieve a significant increase in progress, which confirms that his current method is correct.

To put it simply, he has now found the path to proving the conjecture, and all he needs to do is follow this path step by step, and he will reach the end of the road sooner or later.

You should know that for a long time, the progress of proving this conjecture has not changed.

"Whoo~"

"I finally lived up to everyone's expectations of me."

At this time, Xu Yuan let out a sigh and put the draft paper down again, talking to himself, his mood brightened.

Thinking that it might not be long before he could solve another difficult mathematical problem in the mathematics world and put a successful conclusion to the Calabi conjecture which was thirty years late, he seemed quite excited and decided to continue combining new formulas while he was still in the current state.

But when he picked up the draft paper again and was about to start calculating, he was interrupted by a sudden sound from his stomach.

I subconsciously put my hand down and pressed my stomach, feeling a little embarrassed.

“Studying is also a hard job!”

After sighing to himself, he finally decided to go to the cafeteria to fill his stomach first.

I sat in the library with Chen Yuran for several hours in the morning and maintained a deep learning state for such a long time, so naturally I was very hungry.

Anyway, since he came across this conjecture, it has only been a few months and the progress has been advanced to 50%. There is no need to worry about it now. Only when he is full will he have the strength to continue the calculation.

I stood up and stretched comfortably. Just as I walked to the door and was about to open it, I saw the door being pushed open from the outside.

The next second, the figures of Li Zhenya, Wang Haitao and Liu Yang appeared in the field of vision.

"Xu Yuan, are you done?"

Li Zhenya asked immediately when he saw Xu Yuan's condition.

Although Xu Yuan felt something was a bit strange when he heard this, he still explained it truthfully.

"On the way back, I thought of an idea and rushed back to verify it."

"I said Brother Yuan wouldn't be provoked." Wang Haitao said with a smile when he heard it.

Li Zhenya: “So that’s how it is.” Suddenly, Liu Yang, who was standing on the right, seemed to have thought of something and quickly asked.

"Brother Yuan."

"Is it about the idea of ​​proving Qiu Chengtong's conjecture?"

He seemed even more excited than Xu Yuan, and his eyes were full of anticipation after he finished speaking.

When he came back from Hong Kong, several people in the dormitory knew that he was going to try to prove the Qiu Chengtong conjecture on the stability of algebraic geometry, so there was no need to keep it in suspense and they immediately nodded in affirmation of Liu Yang's question.

“It’s really about conjecture.”

As soon as these words were spoken, Li Zhenya and Wang Haitao's eyes widened instantly, and their pupils were as if there had been an earthquake.

As juniors in the mathematics department, they must be aware of most of the famous unsolved problems in the field of mathematics, but it was precisely because of this that they were so surprised.

Qiu Chengtong's conjecture is the only remaining case of the Calabi conjecture when the first Chern class is positive.

Many mathematicians have studied this problem over the decades since it was first proposed, but all of them have failed in the end.

It's not even possible to take the conjecture any further.

There are many branches of mathematics involved, and the difficulty is much higher than the Carmichael number and Monge-Ampere equation that Xu Yuan had studied before. To be honest, when they first heard that Xu Yuan was going to study the Qiu Chengtong conjecture and try to prove it, they were not too optimistic.

Even though Xu Yuan had two papers published in the Annals of Mathematics.

Because if you dare to study Qiu Chengtong's conjecture without even this much achievement, then you are simply crazy.

Especially seeing that Xu Yuan had no clue, they would not take the initiative to mention this matter in the dormitory.

But in just one summer vacation, Xu Yuan has made great progress, and judging from the expression on his face when he said this, it was indeed extraordinary.

He was stunned for two seconds before he reacted, and quickly asked Xu Yuan about the details.

"Don't tell us that you have solved Qiu Chengtong's conjecture?"

"Not yet." Xu Yuan said with a smile.

Hearing this, Li Zhenya put his hand on his chest and said, "I was almost scared to death by you."

"If it really takes a few months to solve the Qiu Chengtong conjecture, I wonder how many people in the entire mathematics community will be ashamed and panic."

But before Li Zhenya could relax completely, Xu Yuan said with a smile on his face: "But I found a way to prove it." He really did not stop until he said something shocking.

Li Zhenya could no longer maintain his composure as a dormitory leader and could not help but swear.

"Fuck!"

After saying these two words, he quickly pulled Xu Yuan to sit on the chair.

"Xu Shen, please sit down."

"I just brought you food from the cafeteria. Why don't you eat some first?"

Then Wang Haitao and Liu Yang also quickly brought chairs and sat down, waiting for Xu Yuan to continue talking about this matter.

"I just happen to be a little hungry, so I won't be polite."

Xu Yuan took the food with a smile on his face and started eating without caring about his image.

"I remember that the Qiu Chengtong conjecture is just a transformation of the Calabi conjecture that the first Chern class is positive into an algebraic geometry stability problem, which even Professor Qiu Chengtong himself has not solved."

“It has troubled the mathematics community for so many years and is still relatively well-known.”

"If Brother Yuan really proves it, can he win the Fields Medal at the International Congress of Mathematicians next year?"

While Xu Yuan was having dinner, Wang Haitao shared his guesses with Li Zhenya and Liu Yang. He was even more excited than when he won the award himself.

"It should be difficult." Liu Yang took over the conversation.

Li Zhenya was also unwilling to lag behind: "Xu Yuan has solved several difficult problems in the field of mathematics. I think it is normal for him to win the award."

After listening to the conversation between the several people, Xu Yuan felt at a loss whether to laugh or cry.

Professor Qiu Chengtong proved the Calabi conjecture from scratch and won the Fields Medal. Even if he really solves the Calabi conjecture and puts an end to it, it would be equivalent to standing on the shoulders of his predecessors to touch the highest temple of mathematics.

It is unlikely to win the Fields Medal, and judging from the time, the list of winners has probably been determined by now.

But he is still more interested in the National Congress of Mathematicians, which brings together mathematicians from all over the world.

Seeing that Li Zhenya and the others were talking more and more outrageously, Xu Yuan temporarily put down his chopsticks and responded.

"Do you think the Fields Medal is so easy to win? It's not easy to win."

After saying that, he went back to eating.

In order to satisfy the curiosity of several people in the dormitory, Xu Yuan planned to continue calculating with formulas after lunch in the afternoon, thinking that if he struck while the iron was hot, he might be able to make faster progress.

As a result, I didn't calculate the formula, but suddenly I received a call from Tang Shihong.

He was told that Zhang Yitang, who had previously attended a number theory academic conference, was coming and his main purpose was to meet him.

In the past two years, he and Zhang Yitang have frequently exchanged emails, discussing issues related to sieve methods and prime numbers. Although there is a large age gap between them, they seem to be close friends regardless of age.

Therefore, after receiving the news, Xu Yuan did not delay and immediately went to Tang Shihong's office.

He always felt that Zhang Yitang's sudden visit must be to discuss something important, otherwise he could just say it directly in the email.

……

(End of this chapter)