Chapter 1117
Words:1655Update:22/06/26 05:52:27
Lu Zhou didn't know that his manuscripts had become gambling chips for the two old gamblers.
If he knew, he would definitely find a way to "extort" money from the two of them.
After Dean Qin and Wang Peng drove Faltings and Schulz to the airport, Lu Zhou returned to his Zhongshan International mansion.
At the same time, Schultz passed through the security check and boarded the plane. After fastening his seat belt, he looked out the window as if he was thinking about something. It wasn't until the ground gradually disappeared that he suddenly spoke in an emotional tone.
"Time flies by so fast, I didn't expect to be here for almost a month already."
Professor Faltings didn't seem to think much about time. He was sitting next to him with his eyes closed.
"I have to work harder when I go back."
Schulz smiled and spoke in a matter-of-fact tone.
"Of course."
Geniuses are arrogant.
In this regard, he was the same.
In fact, the reason why he chose to go back at this time wasn't just because he wanted to find something for his students to do. Most of the work could be transmitted through the Internet. The reasons he mentioned could actually be solved with an email.
As for the real reason …
He believed that Lu Zhou must know in his heart.
On this final stage of human heroism, there was not much meaning in distinguishing who was superior and who was inferior. However, there was often only one person that could be remembered by history.
As for the non-groundbreaking work, they had already completed it in collaboration.
As for who would be able to put on the last tile of this building, and the most difficult tile at that …
It would depend on their own abilities.
This was a tacit understanding.
It was also a fair competition.
Even though he knew his chances of winning were slim, he still wanted to try.
He believed that Professor Faltings was probably thinking the same thing.
Schultz couldn't help but clench his fists as he felt the surging blood in his chest.
"… It really makes one's heart surge."
…
The flight to Germany disappeared into the clouds.
When Lu Zhou returned home, he was already sitting in his study room.
Similar to Professor Schulz, Lu Zhou's chest was also boiling with excitement.
However, for completely different reasons.
"I'm finally at the last step …"
Lu Zhou looked at the drafts piled up on the desk and the whiteboard hanging next to the wall. He took a deep breath and couldn't help but smile.
The unification of algebra and geometry was only one step away.
After that, it would be the level 10 world.
In addition, the legendary mission reward, the memory from the Void, would also reveal the most mysterious part of the many secrets about the system.
No matter which one it was, it made him extremely excited!
Without any hesitation, Lu Zhou reached out and picked up the ballpoint pen on the corner of the table. He waved it gently and looked at a blank piece of draft paper. He began to think about the last proposition while reviewing his research with Perelman and the others over the past month.
The abstract form of geometry was a very complicated thing.
For an ordinary person, not to mention research, even just studying or reading questions would be a huge obstacle.
After all, the abstract meaning behind numbers could be explained by using different decimal systems to explain the number n, but the abstract form of geometry was not something that could be described by words or symbols.
Not only did it require careful thinking, but it also required a strong spatial imagination and understanding of abstract things.
Therefore, it could be said that the unification of geometry and numbers was a proposition that fused the abstract with the abstract.
Take the relatively simple one-variable polynomial with an obvious geometric explanation as an example.
When it existed and was understood, its dimension was one, so it was a curve. If one considered its complex form, because the dimension of the complex number was two, its abstract form was a surface.
The reverse was also the same.
Grothendieck's theory gave a more complete framework. He believed that integers should be a curve in a sense, and each point on this curve corresponded to a prime number.
This theory was very successful, especially when combined with the topology tools that he created, it had derived many useful methods and mathematical tools that could solve many problems in algebraic geometry.
Even when Witten was researching string theory and tried to use Jones polynomials to explain the Chen -Simons theory, he was inspired by this idea.
This was how the M-theory came to be.
What Lu Zhou was doing now was to expand the framework of this theory and promote this idea to the entire field of algebra and geometry, including the Langlands program, motive theory, and cohomology theory …
On this basis, new mathematics and a new world were born!
At least half of this new world was predicted by Grothendieck's standard conjectures, but it had not been proven.
As for the other half, even the father of modern algebraic geometry didn't dare to imagine …
[Let X be a non-singular projective variety on an algebraically closed field k of characteristic 0. When we take an embedding k → C, we get a complex manifold X (C) …]
A few lines of calculations were printed on the paper, outlining the framework of the entire proof idea.
Lu Zhou looked at the calculations on the paper and muttered 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 inference 4 by the fold method …
"The set abstracted from geometric figures is mapped to the set composed of n.
"… If that's the case, the most likely plan is already on the verge of being revealed."
Lu Zhou's eyes flashed, and the pen tip on the paper suddenly moved.
The ink traces were like flowing streams, converging on the paper to form a series of mysterious and beautiful mathematical formulas. Under the guidance of his meticulous thinking, a huge blueprint was outlined stroke by stroke.
Time slowly passed by.
There was only the sound of pen strokes in the study room.
Lu Zhou was completely immersed in the state of mind. He completely forgot about time and space, and he even forgot about his own existence. He was completely immersed in the sea of mathematics.
It was like he wasn't completing a proof.
It was like a symphony of the universe.
—
(Thank you to the leader of "ALhone" for your tip ~ ~ ~ business trip, I will make up for it when I come back.)
Lamp Pen
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