Scholar’s Advanced Technological System

In fact, as to whether he is still a human or not, Lu Zhou himself cannot answer this question now.

Although from the data on the physical examination test sheet, the strengthening of the system does not seem to be reflected in the transformation of his DNA, but with his current thinking ability, it is clearly beyond the scope that ordinary humans can reach-or even understand.

If he remembered correctly, Professor Deligne had invited him to join the study of standard conjectures just after he had enrolled in Princeton, about six years ago.

Six years have passed now.

Obviously, no significant progress has been made on this subject until now.

But now, solving it is as easy as breathing.

Although a large part of the reason is because the Grand Unification Theory provides a theoretical basis for proving this proposition, even if the conclusions that can be directly reached through the Grand Unification Theory are left aside, in just half an hour Solving so many problems is also quite a horrible thing.

Even in his own opinion.

Taking a deep breath of cold air, letting his chest's agitated mood cool down a bit, Lu Zhou looked at the line on the whiteboard, "Lefschetz standard conjecture, established!" For a long time and said slowly.

"As we all know, the standard conjecture can be divided into two parts. The first half is the generalization of the Hard-Lefschetz theorem by Professor Grothendieck when we are studying the Wey conjecture, which is also known as the Lefschetz standard conjecture."

"The second half is Hodge's standard conjecture."

It seemed that he was in trouble because of some troublesome things, and Lu Zhou frowned for a long time.

The audience was silent.

Everyone is waiting for him to continue.

Under the gaze of countless anticipation, the wrinkled brow suddenly loosened, with a light tone, Lu Zhou continued.

"Forget it."

"Although it is only to demonstrate the application of the Grand Unified Theory in the study of algebraic geometry ..."

"But since it's all written here."

"I'll work it out together."

I did not go to see the shocking faces behind me, nor did I listen to the exclamation and incredible discussions that rang through the venue.

Lu Zhou, who left the sentence lightly, walked to the blank white board next to him with a lot of complex emotions such as awe, emotion, and calm, and stopped for a moment.

Standard conjecture is one of the deepest propositions in algebraic geometry.

Its profoundness lies not only in its complex beauty, but also in its profound inferences.

Most directly, if the standard conjecture holds, the Wey conjecture can be directly introduced through it, and Frobenius' function on the homology group of smooth projection algebraic clusters is semi-single, and even algebraic closed-chain in algebraic clusters ( The numerical equivalence and homological equivalence are the same equivalence relation and so on.

These are known.

There are still theories to be explored.

It is no exaggeration to say that it is this conjecture that guided the development of modern algebraic geometry.

However, so far, its historical mission should be over.

As he raised his hand, the pen that fell on the whiteboard moved.

[... when i≤n / 2, the quadratic form x → (? 1) ^ i · L ^ (r? 2i on A ^ i (X) ∩ker (L ^ (n? 2i + 1)) ) Xx is positive definite ...]

Where X is a smooth projection algebraic cluster on the field k, l is a prime prime co-prime with the feature of k, H ^ i (X, Ql) is a homology group on the l-adic of order i of X, X and the hyperplane of the projection space The intersection is a subalgebraic cluster of X.

This conjecture is known when X is an algebraic surface or a complex algebraic cluster.

Now what he has to prove is that, in general, it is also true!

Time passes by every minute.

There are more and more calculations on the whiteboard.

Many people sitting under the stage, the speed of ingesting information, and even gradually began to keep up with the speed of his blackboard writing.

Perelman, who was frowning and sitting on the stage with his arms folded, suddenly sat upright, staring at the whiteboard pupils instantly.

Schultz, sitting not far from him, had almost the same reaction, and even made an incredible exclamation.

"... Using the L ^ 2 cohomology method to obtain the topology information of the complete manifold compact quotient, and generalize the Hodge theory on the compact manifold to a complete non-compact manifold!"

"God ... he, he is a genius!"

This is the property of L ^ 2 cohomology theory mentioned in the paper on the study of discrete groups and elliptic operators published by Sir Attia in the "Mathematics Annual" in 1976.

It's not just the cleverness of his ideas. What really shocked Schultz is that his use of these mathematical tools is like breathing.

It's as if those mathematical tools were born for him.

Perelman, who had not spoken, looked at the stunned Schultz, whispering rare.

"... This obvious thing, even if you don't say it, everyone knows it."

Not far away.

The two old men sat there, staring motionlessly at the whiteboard.

When Lu Zhou successfully extended Hodge's theory on tight manifolds to complete non-compact manifolds, Professor Deligne suddenly broke this silent tacit agreement and began to speak.

"What do you think?"

Sitting next to him, Faltins didn't speak.

After about half a minute, he shook his head.

"I might need a little time ... maybe, I'm really old."

Deligne looked at the stage with a complex look and stopped talking.

For the first time in so many years of friendship, he heard this guy admit that he was getting old.

Although this is an indisputable fact, hearing this guy admit it in person has made him somewhat hesitant ...

The same dialogue is happening on the other side of the venue.

It was only Mr. Qiu Chengtong who asked, and the answer was Professor Tao.

As an all-rounder in the field of mathematics, he is probably the only person in the entire venue who can keep up with the speed of writing on a whiteboard.

Although it is not easy.

Even him, it is quite challenging to keep up with this rhythm.

"His thinking speed is too fast ... as an inappropriate analogy, the average person may be sitting on a rocket ... maybe I am sitting on a Space-X Falcon but the essence is still a rocket, and there is no essential difference from other rockets. But he is not the same. He has been sitting on something similar to a curved engine. When I was walking down a line of thought, I had already folded the entire paper in half, The question is dry and jumps directly to the part of the result. "

Because his wife works at NASA, he usually has a lot of contact with aerospace matters. Although his professionalism may not be mentioned, he still knows the rocket model.

For this strange parable, Mr. Qiu said nothing, but silently turned his gaze towards the almost filled whiteboard.

After a while, he clenched his fists and sighed softly.

"Good job!"

...

Without a doubt, this is the most brilliant moment in the history of Chinese mathematics.

No, to be precise, it's not just the Chinese mathematics community.

Even if you look at the world and look back at history, I am afraid that no more glorious moment can be found.

At this moment, he boarded not only the throne of the mathematical temple, but also the pinnacle of human mind.

Standing in front of this whiteboard that connects the universe, whether it is nationality, ethnicity, or cultural background, seems to have become pale and meaningless.

At the height of species and civilization, all of this is too small.

With the last punctuation point.

Everything is quiet.

In fact, long before the tenth line, there was no suspense in the result, only few people could see it.

I took back the pen tip that fell on the whiteboard, and took a two-step back to Lu Zhou, looking at my own achievements, as if looking at a piece of art.

About ten minutes later, he turned around and spoke slowly towards the quiet meeting place.

"The above is proof of the standard conjecture."

Voices echoed in the empty stadium.

There was nothing in the audience.

No one spoke.

There was no applause.

The front-row audience's sluggish or solemn expressions have already expressed their mood and state at this moment. Everyone has not recovered from the double shock of vision and soul, and naturally there is nothing to say about it.

Without stopping for a long time, Lu Zhou glanced around the quiet meeting place, and continued to speak in an unhurried tone.

"In fact, the grand unification theory is the subject of this briefing."

"The proof of the standard conjecture is just a piece of cake. I hope that through my display, I can bring some inspiration to your future exploration of beautiful things."

"Just as we have witnessed together at this moment, our theory has once again verified that our universe is perfect, and it is in line with mathematical aesthetics."

"Anyone else ~ www.readwn.com ~ Any questions?"

The silence in the audience continued.

Still no one spoke.

Your shoulders are loose.

It felt like a heavy boat that had been put down, and there was no undulating expression of the boat, and a smile of joyful appearance suddenly appeared on his face.

The smile was like the wind in early March. Although there was no particular tension, it blew into the hearts of every listener, where it passed, the ice melted, the snow melted, and the clouds opened up.

"If not, then this report will be here."

"I will be here for these three days. If new questions arise later, you can come here to find me."

"Thank you."

Applause sounded like pouring rain.

The ceiling of the stadium was almost overturned.

Too far, Lu Zhou couldn't see clearly, but as far as he could see, those pairs of young or old faces were filled with shock and madness without exception.

The whole world is like being re-winded, starting from the silent silence and starting to tick again.

The staff standing on both sides of the lecture hall, as well as those security personnel, cast an unexpected look at the venue and did not quite understand what was happening.

They certainly don't understand.

Just like the beauty of mathematics, it is not open to everyone.

But for those who can understand it, this beauty is shocking to the soul and reaches the soul.

Although there is no sound, it is like a song.

Bathed in applause that rang through the venue, Lu Zhou rested the marker in his hand destined to become a historical relic, rested gently on the podium, bowed slightly, and turned towards the stage.

The era of standard conjecture has come to an end.

Take this moment as a watershed.

Every minute from now on belongs to the new world!