Chapter 1110 The Final Stage

Lu Zhou didn't know that his manuscript had become a bargaining chip on the table of two old gamblers.

If he knew, he would definitely find a way to "extort" money from the two of them.

After holding Dean Qin who was going to hang a banner to see him off, he and Wang Peng drove the two old friends Faltings and Schulz to the airport, and then Lu Zhou returned to his villa in Zhongshan International.

At the same time, he went through the security check and boarded the plane. After fastening his seat belt, he looked out of the window and looked at Schultz, who seemed to be thinking about something. Said in an emotional tone.

"Time flies so fast, I didn't expect to have been here for almost a month without knowing it."

There doesn't seem to be any more thoughts about time. Professor Faltins, who was sitting next to him and had already closed his eyes, simply replied casually.

"I have to work harder when I get back."

Schultz smiled and said in a natural tone.

"I am very sure of that."

Geniuses are proud.

For that matter, he is the same.

In fact, the reason why I chose to go back at this time is not just for the single reason of wanting to find something for my students to do. At this moment when most of the work can be communicated by relying on the Internet, the reasons he mentioned are actually things that can be resolved with an email.

As for the real reason...

He believed that Lu Zhou must be clear in his heart.

On the final stage of this heroism, it may not be very meaningful to distinguish between superior and inferior, but there is often only one person who can be remembered by history.

Non-groundbreaking work, they have done in collaboration.

As for who can put the last tile on this building, and it is the most difficult tile...

Then it's up to each other.

This is both a tacit agreement.

It is also an upright competition.

Although he knew that his chances of winning were slim, he still planned to give it a try.

He believes that not only himself, but Professor Faltings' thoughts at the moment are probably the same.

Feeling the long-lost turbulent blood in his chest, Schultz couldn't help clenching his fists.

"...it's really exciting."

...

The flight to Germany has disappeared into the clouds.

Lu Zhou, who returned home, was already sitting in the study.

Same as Professor Schultz, Lu Zhou's chest is also boiling with excitement at the moment.

However, it was for completely different reasons.

"It's finally the last step..."

Looking at the drafts piled up on the desk, and the filled whiteboard hanging on the wall beside the bookshelf, Lu Zhou took a deep breath, and couldn't help but pull a sincere smile from the corner of his mouth.

The unification of algebra and geometry is only the last step.

After crossing, it is the world of LV10.

In addition, according to the reward of the legendary mission, the memory from the void will also reveal the most mysterious corner of the many secrets about the system for him.

No matter which one it is, it makes his heart surge with admiration at this moment!

Without any pause, Lu Zhou reached out and picked up the ballpoint pen resting on the corner of the table. After shaking it lightly, he faced a brand new blank draft paper while reviewing the past month. At the same time, he began to think about this last proposition.

The abstract form of geometry is a very complicated thing.

For ordinary people, let alone research, even just studying or even reading questions, there are not small obstacles.

After all, if the abstract meaning behind the numbers can be simply compared by "interpreting the number n in different bases", the abstract form of geometry is not something that can be simply described by words or symbols.

It requires not only careful thinking, but also strong spatial imagination and an understanding of abstract things.

Therefore, it can also be said that unifying geometry and numbers is a proposition that integrates abstraction and abstraction.

Take, for example, univariate polynomials, which are simpler and have an obvious geometric interpretation.

When it exists and has understanding, its dimension is 1, and it is a curve. And if consider its complex number form, since the dimension of complex number is 2, its abstract form is a curved surface.

The reverse is also true.

Grothendieck's theory gives a relatively complete framework. He believes that integers should be a curve in a certain sense, and each point on this curve corresponds to a prime number.

This theory is very successful, especially combined with the topology tools created by himself, it has derived many useful methods and mathematical tools, which can answer many problems in algebraic associativity.

Even when Witten was studying string theory and trying to use Jones polynomials to explain the Chen-Siemens theory, he was inspired by this idea.

Then, there is the birth of the following M theory.

What Lu Zhou is doing now is to expand the framework of this theory, and to promote this idea, enough to extend the entire field of algebra and geometry, and even the Langlands program, motivation theory, and all meanings. The cohomology theory above is covered in it...

And on this basis, give birth to new mathematics, and even a new world!

For this brand new world, at least half of it has been predicted by Grothendieck in the standard conjecture, but it has not yet been confirmed.

As for the other half, even the father of modern algebraic geometry dare not imagine...

【Assume that X is a non-singular projective variety on the algebraic closed field k of feature 0. When we take an embedding k→C, we get a complex manifold X(C)...】

The eloquent lines of calculations were printed on the paper, simply outlining the framework of the entire proof idea.

Looking at the formula on the paper, Lu Zhou muttered softly to himself in a voice that only he could hear.

"All cohomology has been abstracted into a geometrically composed set, and the exact expression of Cq(D, k) is substituted into Corollary 4 for derivation through the Fold method..."

"A collection of abstract geometric figures maps to a collection of n."

"...In this way, the most likely solution is already on the horizon."

There was a bright flame in his eyes, and the tip of the pen that was frozen on the paper suddenly moved.

The ink-colored traces are like flowing streams, converging on the paper into mysterious and mathematically beautiful calculation formulas. Under the traction of that meticulous thinking, a huge blueprint is drawn stroke by stroke.

Time passed by every minute and every second.

The only sound left in the study is the sound of brush strokes.

Lu Zhou, who has fully entered the state, completely forgot about time and space, even forgot his own existence, and was engrossed in the ocean of mathematics.

As if this wasn't completing a proof.

It's a symphony about the universe.

——

(Thanks to the leader of the book friend "ALhone" for the reward~~~~ out of town on business trips, I will make up QAQ when I come back with more updates)