Scholar’s Advanced Technological System

The Ark did not know that his manuscript had turned into a chip on two old gamblers' tables.

If he knew, he would definitely find a way to “blackmail” them both.

After dragging Mother Qin and Wang Peng, who intended to hang the banner, drove Fartings and Shultz to the airport, the Ark returned to their villa at Zhongshan International.

Meanwhile, after boarding the plane through the security check, he fastened his seat belt and looked out the window like he was thinking about something, until the ground was gradually pulled away to invisibility, suddenly speaking in a somewhat emotional tone.

“Time went by so fast, I didn't realize I'd been here for almost a month. ”

There did not seem to be any more feelings about time, and Professor Fartings, sitting beside him, who had begun to take care of God with his eyes closed, simply replied casually.

“We'll have to push harder when we get back. ”

Schultz smiled and said in a natural tone.

“That's for sure. ”

Geniuses are proud.

He's the same about that.

In fact, choosing to go back at this time is not just for the single reason that you want to find something to do for your students. At a time when the vast majority of this work could rely on the Internet for communication, the reasons he had given were actually matters that could be resolved by an email.

As for the real reason...

He believes the heart of the ark must be clear.

In this last stage of heroism, the distinction may not have much meaning, but there is often only one person who can be remembered by history.

Non-pioneering work, which they have already accomplished in cooperation.

As for who can put the last tile on this building and the hardest tile...

Then it's up to you.

This is both a tacit agreement.

It is also a real competition.

Though he knew his chances of winning were slim, he intended to give it a try.

He is convinced that it is not just himself, but Professor Faltines' thoughts at this moment, for the most part.

Feeling the prolonged and violent blood in his chest, Schultz squeezed his fist.

“… what a thrill. ”

……

Flights to Germany have disappeared into the cloud.

Returning home to the ark, he has also sat in the study.

Similar to Professor Schultz, the hearts of the ark are boiling with excitement at this moment.

But for very different reasons.

“It's finally the last step...”

Looking at the drafts full of desks and the whiteboards filled by the wall shelves, he took a deep breath of the ark and held a heartfelt smile at the corner of his mouth.

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

Beyond that, the world of LV10.

Beyond that, according to the reward of the legendary mission, that memory from the void will also reveal the most mysterious of the many secrets about the system.

Either way, he's in full swing at this moment!

Without any stops, the ark held up a ballpoint pen resting on the corner of the table and tossed it gently before facing a new blank piece of draft paper, looking back at his exchanges and research with Perelman and others over the past month, as he began his reflection on this last proposition.

The abstract form of geometry is a very complex thing.

For the average person, not to mention research, even just learning and even reading, there are a number of obstacles.

After all, the abstract form of geometry is not so simple to describe by words or symbols if the abstract meaning behind a number can also be easily analogized by a "differential interpretation of numbers n by different evolutions” approach.

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

It can therefore also be said that unifying geometry with numbers is a proposition that combines abstraction with abstraction.

Take a simpler, uninomial polynomial with obvious geometric explanations, for example.

When it exists with understanding, it has a dimension of 1, which is a curve. If its plural form is considered, because the dimension of the plural is 2, its abstract form is a curved surface.

The same goes for the reverse.

Grotendik's theory gave a more complete framework, and he believed that an integer should be a curve in some sense, with each point on that curve corresponding to a prime number.

This theory has been very successful, especially in combination with the topological tools that it has created, and has produced many useful methodological and mathematical tools that can answer many questions about algebraic integration.

Even when Witten was studying string theory and trying to interpret the Chen-Simmons theory using the Jones polynomial, he was inspired by the idea.

In turn, there was the birth of the M theory.

And what the Ark is doing now is expanding the framework of this theory and promoting this idea to encompass the entire algebraic and geometric realm, and even the Langlands platform, the motive theory, and the homogeneous theory in every sense...

And on this basis, nurture new mathematics and even a new world!

For this whole new world, at least half of it is what Grotendik has predicted in standard speculation, just yet to prove.

As for the other half, even the father of modern algebra geometry dared not imagine...

[Setting X is a non-bizarre projection cluster on the algebraic closed-domain K of feature 0. When we take an embed k C, we get a reflux X (C) …]

Several rows of formulas sprinkled in the ocean are printed on paper, simply outlining the entire framework of proof of thought.

Looking at the formula on the paper, the ark muttered to himself with a voice that only he could hear.

“All of the above tones have been abstracted into a set of geometric compositions, and the exact expression of Cq (D, k) has been inserted into inference 4 by the Fold method…”

“A collection of geometric graphical abstracts that are mapped to each other with a collection consisting of n. ”

“… In that sense, the most likely solution has been called out. ”

Flashing flames in his eyes, the tip of the pencil that solidified on the paper suddenly moved.

A trace of ink, like a stream of water, converged on paper into a mysterious and mathematically beautiful formula, which, guided by meticulous thinking, painted a vast blueprint.

Time goes by.

There are only brush strokes left in the study.

Continental ships that have entered the state completely, completely forgotten time and space, even forgotten their existence, and completely indulged in the ocean of mathematics.

As if it wasn't completing a piece of proof.

It's a symphony about the universe.

——

(Thanks to Alhone's ally ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~