Unbeknownst to Lu Zhou, his manuscript had become a chip on the table of two old gamblers.

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

After grabbing Dean Qin, who was going to hang a banner to say goodbye, and Wang Peng drove two old friends, Faltins and Schultz, to the airport, Lu Zhou returned to his villa in Zhongshan International.

At the same time, after going through the security check and boarding the plane, after fastening his seat belt, he looked out the window at Schultz, who seemed to be thinking about something, until the ground was gradually pulled away from sight, and then suddenly said in a tone with some emotion.

"Time flies so fast, I didn't expect to be here for almost a month before I knew it."

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

"I'll have to work harder when I go back."

Schultz smiled and said in a natural tone.

"That's for sure."

Geniuses are proud.

The same is true for him.

In fact, the reason why I chose to go back at this time was not just for the single reason that I wanted to find something to do for my students. At a time when the vast majority of work can be conveyed through the Internet, the reasons he mentioned are actually things that can be solved by an email.

As for the real reason......

He believed that Lu Zhou must have known it in his heart.

In the final arena of this person's heroism, it may not make much sense to distinguish between the superior and the inferior, but there is often only one person who can be remembered by history.

Non-groundbreaking work, they have already done it in collaboration.

As for who can put the last tile on this edifice, and the most difficult one......

It's up to each person.

This is both a tacit understanding.

It is also a dignified competition.

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

He believed that not only himself, but also Professor Faltings's thoughts at the moment.

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

“…… It's exciting. ”

……

Flights to Germany have disappeared in the clouds.

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

Like Professor Schultz, Lu Zhou's chest was also boiling with excitement at this moment.

It's just that for very different reasons.

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

Looking at the drafts piled up on the desk, and the whiteboard that was filled up next to the bookshelf hanging on the wall, Lu Zhou, who took a deep breath, couldn't help but pull a heartfelt smile on the corner of his mouth.

The unification of algebra and geometry is only one step away.

After the leap, it is the world of LV10.

In addition, according to the rewards of the legendary quest, the memories from the Void will also reveal the most mysterious of the many secrets about the system for him.

No matter which one it is, it makes him excited at this moment!

Without any pause, Lu Zhou reached out and picked up the ballpoint pen resting on the corner of the table, shook it gently, faced a new blank piece of scratch paper, and began his thoughts on this last proposition while reviewing his exchanges and research with Perelman and others in the past month.

The abstract form of geometry is a complex thing.

For ordinary people, not to mention research, even just studying or even reading questions, there are many obstacles.

After all, if the abstract meaning behind numbers can be simply analogized by the method of "separate interpretations of 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 a strong spatial imagination and an understanding of abstract things.

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

Take, for example, a simpler univariate polynomial with a clear geometric explanation.

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

The reverse is also true.

Grothendieck's theory gives a more complete framework, arguing that an integer should be a curve in some sense, and each point on this curve corresponds to a prime number.

This theory has been very successful, especially in combination with the topology tools he created, which has led to the development of many useful methods and mathematical tools that can solve many problems in algebraic union.

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

Then, there was the birth of the later M theory.

What Lu Zhou is doing now is to expand the framework of this theory, and to generalize this idea to cover the entire field of algebra and geometry, as well as the Langlands program, Motive theory, and the theory of cohomology in all senses......

And on this basis, a new mathematics and even a new world will be born!

At least half of this new world was predicted by Grothendieck in his standard conjecture, but it was not confirmed.

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

Let X be a nonsingular projective cluster on an algebraic closed field k with feature 0. When we take an embedding k→C, we get a complex manifold X(C)......]

A few lines of equations were printed on the paper, briefly outlining the framework of the entire proof idea.

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

"All the upper cohomology has been abstracted into a set of geometric compositions, and the exact expression of Cq(D,k) is substituted into inference 4 by the Fold method for derivation......"

"A set of abstract geometric figures mirrors a set of n figures."

“…… In this way, the most likely plan is already on the horizon. ”

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

The ink-colored traces are like cross-flowing streams, converging on the paper into mysterious and mathematically beautiful equations, and under the traction of that careful thinking, a huge blueprint is drawn stroke by stroke.

Minutes and seconds passed.

All that was left in the study was the sound of brushstrokes.

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

As if this wasn't a piece of proof.

It's a symphony about the universe.

——

(Thanks to the book friend "ALhone" for the league leader reward~~~~ out of town business ing, plus more back must make up QAQ)

Lamp pen