The top student must be diligent.

Chapter 263: The long-awaited bustle in the mathematics world
Liang Qiushi was stunned.

Xiao Yi's expression remained the same.

He quickly finished reading the paper Liang Qiushi brought. Although it was more than forty pages long, it did not require much effort for Xiao Yi.

After all, when Liang Qiushi just told him the idea, he already knew roughly how to solve this problem, not to mention that Liang Qiushi came to him for advice some time ago.

After Liang Qiushi returned, he quickly solved the problem that had been stumping him according to Xiao Yi's guidance. He also read the paper recommended to him by Xiao Yi. After reading it, Liang Qiushi had an idea about the non-homogeneous Baker-Sprindzuk conjecture he had encountered.

The difficulty of the non-homogeneous Baker-Sprindzuk conjecture itself is not very high. After Liang Qiushi had studied the subject to that level, it was not far from solving the conjecture. With a simple study, he successfully solved it.

Therefore, when Xiao Yi read his paper, he only needed to look at a few key points to basically determine that there was no problem with his paper.

As a mathematical paper, the originality of this paper is naturally self-evident. It successfully extends the method of non-homogeneous Diophantine approximation on the real number field to the function field, and in the process also successfully proves the non-homogeneous Baker-Sprindzuk conjecture. As a novel result, its innovation is sufficient.

From the perspective of the most important mathematical rigor, the logical structure is rigorous, the argumentation process is clear, accurate and complete, and there are no logical loopholes or errors; definitions, assumptions, conditions, etc. are clearly given, and the necessary lemmas and theorems have rigorous mathematical proofs, and no problems can be found.

Therefore, Xiao Yi finally commented: "Very good, your paper has met my expectations of you, and of course, it has also met the graduation requirements."

"Then... congratulations."

Xiao Yi put down the manuscript with a smile and congratulated Liang Qiushi.

Liang Qiushi had recovered from his shock by this time, and then he smiled and said, "Thank you so much for the teacher's guidance!"

Xiao Yi smiled and shook his head, saying, "Don't be so quick to thank me. Go back and check all the formats as soon as possible, and then upload it to the website. I will invite a few more experts to listen to your defense next month. They won't give me face by then."

"It all depends on your ability."

Liang Qiushi was not intimidated at all. He waved his hand and said, "You can yell as much as you want. I guarantee that I can easily take him down when the time comes."

"That's fine." Xiao Yi nodded with a smile.

"But..." Liang Qiushi suddenly said, "I can't be the only one doing this, right? Chen Muhua and Sun Yuan and the others should do the same, right?"

Xiao Yi rolled his eyes and said, "You kid still wants to enjoy it alone, don't worry, they will be there for you."

"That's good!" Liang Qiushi nodded happily.

"Then teacher, I will leave first?"

Xiao Yi nodded: "Okay, go ahead."

However, after a while, they both said at the same time: "Wait."

They were both startled, and then Xiao Yi asked, "What else do you want?"

Liang Qiushi scratched his head, pointed at Xiao Yi's paper, and asked, "Teacher, when can I see your paper?"

Xiao Yi said: "We can see it tonight."

Liang Qiushi nodded and smiled: "Then I'll wait and see how the hail conjecture is solved."

"Just wait and see."

Xiao Yi just smiled calmly, and then asked: "But, I heard that you are getting married soon?"

"Ah!" Liang Qiushi was stunned, and said repeatedly: "Yes, teacher, I was planning to tell you later, but I didn't expect you to know it now."

"Could it be that kid Chen Muhua who told you?"

Xiao Yi smiled and said, "This has nothing to do with Chen Muhua. Don't forget that I am still a teacher in the School of Physics. Your girlfriend has already told her teacher about this, and Professor Liu from the School of Physics just happened to tell me about this matter two days ago."

When Liang Qiushi first enrolled a few years ago, Xiao Yi asked him why he applied here with his grades. After all, based on Liang Qiushi's performance in undergraduate studies, it would have been no problem for him to apply to MIT, Princeton University, etc.

Then I found out that he came here following his girlfriend.

His girlfriend's name is Chen Chunhua, which matches his name very well.

The relationship between them has probably always been good, otherwise they wouldn't have planned to get married now.

"So that's it."

Liang Qiushi finally realized it and shook his head helplessly. Since it was his fiancée who leaked it, he could only be angry but had no place to vent it. He could only say that his teacher was well-informed.

Then he said, "Yes, the wedding date is August 8 this year, which happens to be Chinese Valentine's Day."

Xiao Yi smiled and nodded: "Not bad, very good."

Liang Qiushi also showed a happy smile on his face.

He and his girlfriend were not childhood sweethearts, they just met in college.

There are very few cases where childhood sweethearts can be admitted to the same top university together and be admitted to graduate school together. It even feels unreal.

But up to now, they have known each other for almost seven years. Now that they can enter into marriage, it also means that they have overcome the test of these seven years and ushered in victory.

"It's just that the wedding will not be held in Fei City, but in my hometown." Liang Qiushi said, "I will definitely send the teacher an invitation letter, whether he comes or not."

Xiao Yi knew that Liang Qiushi's hometown was in Jiangcheng City, Hubei Province. The two provinces were considered neighboring provinces, but the distance from Fei City to Jiangcheng City was not as close as that from Fei City to Nanjing.

What's more, he probably doesn't have much reason to go to Jiangcheng.

Finally, he nodded and said, "Okay, even if I can't go, I will give you a red envelope."

Liang Qiushi smiled and said, "That's great! I will definitely pack one for you when we go to the teacher's wedding."

"I just don't know if the teacher has a partner now?"

Xiao Yi immediately waved his hands: "You don't need to worry about this, let's go."

Liang Qiushi chuckled and then quickly slipped away.

"Tsk tsk..."

Watching Liang Qiushi close the office door, Xiao Yi sighed.

Time waits for no one, even my students are getting married.

As for himself?
"I don't want to think about these things. The thesis is not finished yet."

Then Xiao Yi continued to write his paper.

By the evening, the paper was finished. Others might still care about the font format, but he didn't have to worry about it at all.

After all, it's a personal website, you can do whatever you want.

So he uploaded the paper directly to the Internet.

After finishing this task, looking at the time, it was already late, so Xiao Yi did not stay any longer, contacted Wang Li to get in the car, and then went back to rest.

……

Perhaps Xiao Yi had not uploaded a paper to his website for a long time. For a while, the paper was not discovered immediately after it was uploaded.

Perhaps because it was already late, most people had already gone to bed. Even those self-media who were obsessed with logging into the website every day to see if they could see any "surprises" had mostly stopped working at this time.

As for people abroad, they would not be idle to log on to Xiao Yi's website, so every time Xiao Yi's personal website has a new paper, the news is usually first reported from China. However, if the self-media does not look for it, someone else will.

And this person was Liang Qiushi, who got the "inside information".

Because he had completed his thesis, he was very happy that night and was ready to have some fun with his fiancée, who was going to get married in a few months.

While singing in a KTV, he suddenly slapped his head, took out his mobile phone, logged into his mentor's personal website, and sure enough, he saw a brand new paper appear on the website.

The name of the paper is very simple, it is called "Hail Hypothesis", and it is available in both Chinese and English.

He immediately slapped his thigh and exclaimed "Oh shit".

Seeing how excited he was, his girlfriend beside him stopped singing and asked, "What's wrong?"

"Look, my teacher's personal website."

"Professor Xiao?"

When she learned that it was something related to Xiao Yi, her girlfriend also became curious.

She had also tried to apply to be Xiao Yi's student back then, but ultimately failed. Of course, she would not have any complaints about this. After all, there were countless students who had been accepted by Xiao Yi at the time, and she did not have much advantage compared to those others.

However, it did not prevent her from being interested in Professor Xiao's affairs.

After all, she studied nuclear physics, and Xiao Yi solved one of the most ambitious problems in their nuclear physics - how to achieve controlled nuclear fusion power generation.

Therefore, there is not one among those who study nuclear physics who does not admire Xiao Yi.

In other words, Xiao Yi does not teach in their School of Physics, otherwise, the entrance door would probably be broken down.

"Look at this paper. It's the latest achievement of my mentor."

Liang Qiushi showed it to his girlfriend.

My girlfriend was stunned: "Hailstone conjecture? Is this another mathematical conjecture? Something like the Goldbach conjecture?"

"Yes, you should have heard of this conjecture. It's written in elementary school textbooks."

Then, Liang Qiushi explained to his girlfriend what this hail hypothesis looked like.

After some understanding, his girlfriend naturally didn't know how difficult this problem was. After all, she was not a mathematics major, but she just felt it was impressive.

Especially after learning that this problem has not been solved for decades, the former mathematics master also said that the mathematics community is not ready to face such a problem.

"Professor Xiao is so awesome!" the girlfriend exclaimed.

"Of course!" Liang Qiushi had an expression that said "Do I need to tell you this?", and then he began to share this matter with various groups he had joined.

In this way, we can spread this important event to more people.

In the mathematical world, another difficult mathematical conjecture has been solved.

"Hehe, this is first-hand information. Isn't it amazing? I saw it this afternoon when I went to the teacher's office and reported to him that I had completed my thesis." Liang Qiushi showed off in front of his girlfriend.

"That's great." The girlfriend smiled and said, "Can you be as good as Professor Xiao in the future?"

When Liang Qiushi heard this question, he became depressed.

"Don't bring up that. My mentor is someone that no human can surpass."

His girlfriend laughed and handed the microphone back to him: "Okay, let's continue singing. As you sing, maybe you will become as good as Professor Xiao."

"Okay, okay." Liang Qiushi naturally didn't believe such a thing, but he took the microphone and started singing love songs with his girlfriend.

"Sister, you sit on the bow, and I will walk on the shore..."

……

Liang Qiushi joined many groups and naturally created many groups, including many mathematics groups.

Therefore, it didn’t take long before the topic of “Chief Engineer Xiao solved the hail conjecture again” spread directly in the domestic mathematics circle.

Domestic mathematicians, or students, were immediately shocked.

For example, in one of the groups Liang Qiushi joined, called the China Mathematical Society Exchange Group, related discussions exploded.

As the name suggests, this group was naturally organized by the Chinese Mathematical Society. Liang Qiushi had previously participated in an academic conference, and when others learned that he was Xiao Yi's student, they invited him to join.

And now, Liang Qiushi naturally sent the message to this group, and suddenly, a bunch of people appeared in this group.

[Ah? Is this true? Professor Xiao has solved the hail hypothesis again? ]

[It’s true, you can see it on Professor Xiao’s personal website! (Screenshot.jpg)]

When they saw that someone had actually posted a screenshot of Xiao Yi's personal website, they became even more excited.

[Oh my god! I saw it too, it’s true, Professor Xiao is awesome!]

[I have downloaded the paper. Wow, it is actually true! ]

[No, Chief Engineer Xiao has only just developed controlled nuclear fusion, right? It's only been a few months, and he also solved the hail conjecture by the way? How did he do it? ]

[Look, you're asking again. You're still surprised by what you've seen.]

[I looked through it and it has more than 60 pages in total. I don’t know if Professor Xiao has really succeeded in proving it.]

[Just kidding, Professor Xiao has published a paper, do you think it has been proven? Especially look at this abstract. ]

As he spoke, a screenshot of the paper abstract was posted in the group.

The abstract is simple and straightforward: This paper transforms the hailstone conjecture into an inequality problem about the dimension of invariant vectors in representation space through representation theory. By establishing a recursive formula for the dimension and applying the properties of vector space, it is proved that there is a unified upper bound on the dimension of invariant vector space, and thus the finiteness of the classification tree of the periodic orbit of the hailstone sequence is deduced, completing the proof of the hailstone conjecture.

Afterwards, everyone in the group began to speculate how Xiao Yi completed the proof.

However, they soon gave up.

Representation theory?
Inequality problem with invariant vector dimension?

Hail sequence periodic orbit classification tree?
These were completely new fields and terms for the study of the hail conjecture, so those who wanted to deduce Xiao Yi's proof process through the abstract completely gave up.

[No, what kind of proof is this, Master Xiao? Proving the hailstone conjecture from representation theory? Can this thing really do it?]

[I really don't understand this. Xiao Shen's thinking is always different from ours.]

【…】

During the discussion among many mathematicians in this group, more and more people learned about this major event.

Naturally, the news eventually spread abroad.

The international mathematics community is about to become lively again.

(End of this chapter)