From child prodigy to chief scientist

In a cyclic defective group, this defect does not have any substantial impact.

However, this is a very fatal flaw in acyclic dihedral deficiency groups.

This would cause the complex he obtains after pulling it back from the subgroup to the original group to lose its original compactness and self-duality, and the perfection condition would be completely destroyed.

After yet another failed attempt, Dong Yi closed his eyes and shook his head in frustration.

Since he began researching this topic, he has experienced countless failures.

At this moment, he even felt somewhat numb, and the pain of failure was not particularly intense.

But this is actually more frightening. It's like boiling a frog in lukewarm water, causing Dong Yi to gradually lose his purest love for mathematics and his initial passion for studying it.

What Dong Yi didn't know was that Xu Xiao had seen the whole process of him deriving these things on the whiteboard.

Just as Dong Yi was still immersed in this dejected mood, he heard a childish voice say:

"Senior, Green's correspondence doesn't apply to the dihedral group D8, does it?"

Upon hearing Xu Xiao's words, Dong Yi turned to look at him in surprise, completely unprepared for what he was saying.

"You...you also understand group representation theory?"

Dong Yi was so surprised because this part of the content was not considered basic; it was something that students in the third year of mathematics majors might only encounter in the second semester.

To truly delve into this area of ​​knowledge, one needs to choose algebra as a specialization during graduate studies.

Dong Yi knew that Xu Xiao was definitely not an ordinary child, but it was truly unbelievable that he could see through what he was writing so quickly.

"I wouldn't say I understand it completely, I just know a little bit about it."

Xu Xiao had not systematically studied this part of the content; she had only learned some knowledge about it piecemeal by attending lectures and reading papers.

To be honest, Xu Xiao didn't intentionally try to learn about Dong Yi's research topics.

However, Dong Yi often wrote things on the whiteboard, and I would always accidentally see some of them. I was indeed very interested in them, so I gradually stopped trying to avoid it.

However, after saying these words, Xu Xiao realized that it was somewhat inappropriate for him to talk about these things without Dong Yi's permission.

After all, academic research is highly confidential, and even students' projects are not easily disclosed to outsiders.

"Senior brother, I really didn't mean to see it. Don't worry, I definitely won't tell anyone about it."

"It's alright, what I wrote isn't of much value anyway, it's just some invalid deductions."

Dong Yi didn't take this to heart. On the one hand, he wasn't wary of Xu Xiao, and on the other hand, he didn't think his research topic was that highly confidential.

There's really no need to be wary of this or that when it's a research topic that might not even be published. Even if you gave it to someone for free, they might not even be interested.

What Dong Yi was more concerned about at this moment was whether Xu Xiao could really fully understand what he had just written.

Out of curiosity, Dong Yi asked Xu Xiao:

"Your Green's correspondence doesn't apply to the dihedral group D8. Could you explain why?"

"Yes, no problem."

Then, Xu Xiao explained the problem according to his own understanding.

Listening to Xu Xiao's explanation, Dong Yi had to admit that the child had indeed completely understood it.

"Therefore, the derived equivalence of the subgroup cannot be improved back to the original D8 group through group expansion, resulting in an unsolvable expansion problem, which means that the reduced result cannot be used on the original group..."

Before Xu Xiao could finish speaking, Dong Yi waved his hand.

"Alright, that's enough. What you said is indeed correct, and it's exactly the problem I encountered during the derivation process."

Xu Xiao had pinpointed the reason for his failure, but Dong Yi wasn't angry at all. Instead, he felt a strange sense of relief because someone understood him.

However, at the same time, he also found it hard to understand why a child like Xu Xiao could comprehend such scientific research-level issues.

"You child... just who are you?"

Hearing Dong Yi say this, Xu Xiao also felt it was necessary to briefly introduce herself.

"Senior, to be honest, I've already secured a place at Peking University through the CMO program, and I'll be officially enrolling next semester."

Upon hearing this, Dong Yi froze on the spot, then looked at Xu Xiao's youthful face again.

"You? CMO? Admitted to Yenching University without taking the entrance exam?"

Dong Yi found it hard to connect Xu Xiao with all of this, because that's how he entered Yenching University. He knew that only by ranking in the top sixty nationwide could one obtain the qualification for direct admission.

Back then, Dong Yi was the top-ranked student in the provincial math competition, but he only barely made it into the CMO national team.

The child in front of us looks to be only eleven or twelve years old. How could he possibly accomplish something so difficult?

Puzzled, Dong Yi turned on his computer and went online to search for information related to this year's CMO.

Soon, Dong Yi saw Xu Xiao's name on the list of CMO award winners.

The reason he was able to find Xu Xiao so quickly was because Xu Xiao's name was the first one listed.

Although it wasn't explicitly mentioned that the ranking was based on scores, Dong Yi was naturally aware of this unspoken rule.

After searching for Xu Xiao's name, Dong Yi also found information that Xu Xiao had scored full marks in the CMO competition and was only eleven years old.

"Eleven years old... perfect CMO score... is this Gauss reincarnated?"

No.

Even if you let eleven-year-old Gauss take the CMO exam, he probably wouldn't get a perfect score, right?

Looking at Xu Xiao again, Dong Yi's gaze became much more complicated.

He then realized that Xu Xiao was not a relative or friend of Yuan Jiyang at all, but had been allowed to come to Yanda University to experience campus life early because of her own abilities.

The fact that Yuan Jiyang would make such a special arrangement is enough to demonstrate how much he values ​​Xu Xiao.

After learning this information, Dong Yi finally felt that it was only natural that Xu Xiao could understand what he had written.

He had never heard of anyone getting a perfect score on the CMO at the age of 11 before; such mathematical talent is extremely rare in history.

"So, you really can be considered my junior brother?"

"Yes, I signed an agreement for a combined bachelor's and doctoral program, and I've already decided to choose Professor Yuan as my advisor."

Although Xu Xiao did not need to go to the laboratory during his undergraduate studies, he had already done a project on his own, which could be considered as getting a head start on graduate-level work.