Following.

Ji Zhen started work and went to Yenching University.

Whether it is the study of mathematics alone, or the anti-gravity technology studied by mathematics and physics together, it is all in Yenching University.

At first glance, such a secret anti-gravity technology, the research place is only at Yenching University, isn't it afraid of foreign spies?

In fact, Ji Zhen is not worried at all, not to mention how much Yanjing's defense can reduce the threat of foreign spy agents. Just Ji Zhen himself is the ability of extraordinary people.

How can you be afraid of this mere spy agent?

Most importantly, the research on anti-gravity technology is temporarily focused on the theoretical aspect. And this laboratory at Yenching University is actually only part of the anti-gravity technology.

This time, Ji Zhen went not to the Anti-Gravity Technology Center, but to the Mathematics Research Laboratory.

He is a doctoral supervisor and has a doctoral teaching mission.

More importantly, he is ready to start tackling the world's seven major mathematical problems again.

Of the seven major mathematical problems, Ji Zhen has already overcome two. And this time, the journey of conquering has started again.

Hodge conjecture!

This time, Ji Zhen chose the Hodge conjecture in algebraic geometry.

Mathematicians in the twentieth century discovered powerful ways to study the shape of complex objects.

The basic idea is to ask to what extent we can take the shape of a given object by gluing together simple geometric building blocks of increasing dimensions.

This technique has become so useful that it can be promoted in many different ways; The result was some powerful tools that allowed mathematicians to make great strides in classifying the wide variety of objects they encountered in their research.

Unfortunately, in this promotion, the geometric starting point of the program becomes blurred. In a sense, certain parts must be added without any geometric explanation.

The Hodge conjecture asserts that for a particularly perfect type of space called projective algebraic clusters, the components called Hodge closed chains are actually combinations of geometric components called algebraic closed chains.

It is a conjecture about the correlation between the algebraic topology of a nonsingular complex algebraic cluster and the geometry it is expressed by the polynomial equations that define the subclusters.

Even deeper, judging from Ji Zhen's vision, in fact, this conjecture has touched the edge of spatial geometry and spatial topography.

If the Hodge conjecture can be solved and proved, or even supplemented and diverged, it will be able to develop new disciplines such as space geometry and space topology.

And these novel disciplines can provide great help to anti-gravity technology.

It is precisely because this Hodge conjecture is related to anti-gravity technology that Ji Zhen chose to use the Hodge conjecture as a breakthrough.

As for why it has only started now, it is because every world's mathematical problem is not so simple, and preparation also needs to be done.

From front to back, Ji Zhen's certification process needs to be done step by step.

Although Hodge's conjecture seems to be just a paragraph, in real mathematical language, it can be said to be a huge amount of space.

And this kind of space, Ji Zhen needs to use his own mathematical knowledge to sort it out.

Although he also consults the world's top mathematical journals, he is not obsessed with those theoretical knowledge.

His horizons are much broader and more ambitious than the world.

After all, the current 'Cyberpunk Real World' has taken root in the solar system.

On Mars, an ecosphere has been established.

In other words, whether it is above mathematics, physics, or even chemistry, the knowledge in the cyberpunk real world is superior to the real world.

What Ji Zhen has to do is to selectively reproduce the mathematical knowledge in it with himself as a medium.

"How's it going, are the preparations for Hodge's conjecture going well?" Ji Zhen came to the research room and asked Fang Weili, a professor who is also in the Department of Mathematics.

Although he is also a professor in the Department of Mathematics of Yenching University, Fang Weili's title is only an associate professor, one level lower than Ji Zhen.

"It went very well."

Fang Weili is older than Ji Zhen, but his professional title is lower than Ji Zhen, but he doesn't have any dirty thoughts in his heart at all, although he is jealous, he doesn't dare to make any moths.

"We've pretty much sorted out some of the questions you've sorted out before. The pre-proof conditions for Hodge's conjecture have been resolved. ”

Hearing this, Ji Zhen smiled and nodded, "There are a lot of math papers, right?" ”

When Fang Weili said this, he really showed excitement.

Originally, he was still a little wavering about Ji Zhen's proof of Hodge's conjecture. Although Professor Ji has directly reduced the seven major problems to the five.

However, the Hodge conjecture is not as difficult as the previous two, and requires more spatial imagination.

And proving a worldwide mathematical problem is not so simple and can go straight to the core.

The proof of the Hodge conjecture is a series of mathematical proofs, not simply similar to middle and high school math problems.

For the proof of Hodge's conjecture to be flawless and irrefutable to mathematicians around the world, it is necessary that the entire series of mathematical proofs be error-free.

So that the proof of the entire Hodge conjecture forms a circle, invulnerable, and there is no loophole to blame.

However, your uncle is no longer your uncle, your uncle is still your uncle, and Professor Ji is still the demonic Professor Ji.

"Your previous guidance has led us to find a mathematical solution to the proof path in the direction of the starting point. There are several options for proving Hodge's conjecture. ”

"So, we sent out a lot of papers."

Ji Zhen waved his hand, seeing the trend of Fang Weili wanting to say thank you.

"Don't be in a hurry to say thank you, the later proof process will be more and more difficult and difficult, and I will say thank you after it is finally completed!"

After saying a few words to Fang Weili, Ji Zhen stepped into the core of the research room.

Subsequently, together with mathematical researchers, he began to overcome the world-class mathematical problem of the Hodge conjecture.

The proof of Hodge's conjecture is that Allah Ji wants to provide mathematical ideas and determine the direction of mathematical research.

Although he has the knowledge of mathematics in the 'Cyberpunk Real World', Ji Zhen does not intend to carry out this research very quickly.

On the contrary, he needs to slow down the progress of his research, and sometimes he needs to get into the wrong direction, so that the research in this area can appear more credible.

And this is not a waste of experience, time and energy, but it is still of great benefit to these other mathematicians.

Because the misunderstanding is only a misunderstanding in Hodge's conjecture.

In terms of the whole mathematical knowledge system, it is not wrong knowledge, on the contrary, it is still very advanced mathematical knowledge, but it is not suitable for Hodge's conjecture.