Qin Jingyu was deeply hit and was not in the mood to go out. Yang Qingyun did not dare to stay longer for fear of being silenced, so he hurried away.

Zhen Wei was going out to buy things, and the two of them happened to be walking on the same road. When they were going downstairs, they happened to meet Zuo Lu and his group checking in in the hotel lobby.

Although what happened last time was that Zhen Wei was trying to commit suicide, but if Zuo Lu hadn't been soft-hearted and agreed to let her join the team, perhaps there wouldn't have been so many things that happened later. Zhen Qi is now being kicked out of school and locked up at home, and it's her own fault. .

After meeting Zhen Wei in the hotel, Zuo Lu said a few words to his teammates and then walked towards Zhen and Yang.

Zuo Lu and Zhen Qi had a good relationship. Yang Qingyun leaned forward slightly, staring at each other warily without speaking.

Zuo Lu's eyes swept from Yang Qingyun to Zhen Wei, "Zhen Wei, Zhen Qi is young and ignorant. I want to apologize to you for what happened to her."

Zhen Wei said coldly: "Apologise? Are you saying this in her capacity?"

Zuo Lu choked and didn't speak.

Zhen Wei said openly, "She cheated on me, and I didn't make it easy for her. This matter is even, you can't replace her, and you don't have to apologize to me."

Hearing this, Zuo Lu nodded slightly, "See you on the field then."

She hummed lightly.

Zuo Lu returned to the team, received his room card, and entered the elevator with his teammates.

Yang Qingyun looked at Zuo Lu's back and was surprised, "Zhen Qi saved his life. Let's just take her to compete together. Zhen Wei has dropped out of school now, but she still wants to apologize for her and protect her." ”

Zhen Wei stepped forward and said, "Zuo Lu is a student sponsored by the He family. Zuo Lu was able to get this place because of Zhen Qi."

Yang Qingyun showed a puzzled expression, "That makes sense."

"Not many people know about this. Don't tell anyone about Zuo Lu."

Although Zhen Wei did not go to the Imperial City, Yin Yuzhen often inquired about the He family in the years before she got married, so she also learned about some things.

"Who can I tell? Don't worry."

-

Hodge's conjecture is an important mathematical problem. It is about the properties of algebraic manifolds. Its main content is: in algebraic manifolds, is there a general "special property" that makes all algebras with dimensions greater than or equal to three All manifolds have this property?

This question is shown to be true for algebraic manifolds of dimension two, but cannot be answered for algebraic manifolds of dimension greater than two.

Therefore, algebraic manifolds are an important research object in modern geometry. Algebraic manifolds refer to a type of geometric objects defined by algebraic equations.

Because of Yang Qingyun's words in the morning, Qin Jingyu once again overturned the research from two months ago.

She re-wrote several related concepts on the manuscript paper. This was the concept of vector bundles that she had mentioned before when communicating with Sen Taizhen. Vector is an important concept in analytical manifolds. It refers to a following A set of vector spaces that change when the base point changes.

There is also the principle of hierarchical advance and retreat, which is an important topology principle. In topology, the hierarchical advance and retreat principle can be used to describe the advance and retreat relationship between topological spaces.

It can be expressed as, for two topological spaces X and Y.

If there is a continuous function f:X→Y that satisfies certain requirements.

Then under certain conditions, the relationship between some topological invariants about X and Y can be derived.

The last one is Kohlacki's theorem, which is a basic theorem in mathematics, which describes the homology group of a special topological space.

The homology group is an important concept in algebraic topology. It is a method for algebraically describing the properties of topological spaces. So in fact, Kohlacki's theorem also has important applications in the topology of algebraic manifolds.

She listed these conceptual theorems one by one, and then returned to the definition of Hodge's conjecture, assuming a manifold algebra M.

Its Hodge conjecture is: when M is a one-dimensional manifold (curve), it satisfies the Hodge conjecture, and when M is a two-dimensional manifold (surface), it satisfies the Hodge conjecture.

When M is a general manifold with dimensions greater than or equal to three, it is unknown whether it satisfies the Hodge conjecture.

The definition of this problem seems simple at first glance, but it is actually a very complex and profound problem. Mathematicians have previously proposed a large number of mathematical methods, the most important of which are the ones she just listed, Mori space and hierarchy. The principle of advance and retreat, and Mori space is a vector bundle...

886: [The host is trapped in a problem again. Does the host want to activate points to redeem the solution fragments of Hodge's conjecture? 】

Qin Jingyu refused without thinking: [No, I have other great uses for those points. 】

Moreover, the Hodge Conjecture leaves her with more time to solve the problem. She does not need to race against time this time, and there are many other things that have not been done yet, so the timeline for solving the Hodge Conjecture can be very long. Rush at this moment.

In the evening, Qin Jingyu went downstairs to have dinner with Zhen Wei and the others, and Yang Qingyun mentioned that the Imperial North University team also stayed at this hotel.

Teacher Cai: "Dibei University's performance in the ICPC competition is not bad every time. In the previous years, it ranked first in the national competition and advanced to the finals."

After saying that, he secretly glanced at Qin Jingyu, who had lowered his eyes and didn't know what he was thinking. If it hadn't been for the unexpected arrival of this great master this year, Dibei University would still be ranked first in the national competition.

When Zuo Lu was mentioned, they were all convinced, otherwise they wouldn't be called computer masters. In the finals, without Zhen Qi holding back the team, their results could have been even better.

When they finished chatting, Yang Qingyun waved his hand in front of Qin Jingyu's eyes, "Hey, I'm back to my soul."

Qin Jingyu came to his senses, "What?"

Zhen Wei: "Nothing, why are you absent-minded?"

Qin Jingyu said calmly: "Think about something."

"What is it that makes you so absent-minded? Can you tell me?"

"It's all irrelevant to the game."

Zhen Wei nodded, "Okay."

As Yang Qingyun listened, he seemed to know what Qin Jingyu was thinking. He must be thinking about the Hodge Conjecture, the most difficult of the seven major problems in mathematics.

He could still remember Qin Jingyu's heavy expression when he looked at him in the morning.

-

The next morning, Teacher Cai gathered everyone to go to the science and technology park where the competition venue was located.

Country M is one of the big countries in science and technology. All kinds of artificial intelligence and AI robots can be seen in it. Seeing this, Yang Qingyun couldn't help but exclaimed: "Will there really be a day when robots rule the earth?"

"Actually, there are many science and technology parks like this in China. It's nothing to make a fuss about." Zhen Wei touched the screen lightly with her finger, and the scene in the area where she was was switched instantly. It was immersive and shocking. She licked He licked his lips and said, "Well, country M is indeed very strong whether it is manufacturing weapons or technology."

It will not be ranked first among the world's powerful countries.

Qin Jingyu also marveled at the rapid development of Country M, "Do you believe it? One day, China will surpass them."

Yang Qingyun: "Hahaha, you have to believe it, after all, it is our motherland."

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