As a matter of fact, Lu Zhou himself probably couldn't answer the question of whether he was still human or not.
Although from the data on the physical examination report, the system's enhancement did not seem to be reflected in his modification, with his current thinking ability, it was obvious that he had surpassed the scope that ordinary humans could reach or even understand.
If he remembered correctly, when he first entered Princeton, which was around six years ago, Professor Deligné invited him to participate in the research of Lu Zhou's standard conjectures.
Now, six years had passed.
Obviously, there hadn't been any significant progress in this research project until now.
But now, getting rid of it was as easy as breathing.
Even though a large part of the reason was that the Grand Unified Theory provided a theoretical basis for proving this proposition, even putting aside the conclusions that could be directly derived from the Grand Unified Theory, solving so many problems in just half an hour was a rather terrifying feat.
Even in his own opinion, that was the case.
Lu Zhou took a deep breath of cold air and calmed himself down. He looked at the "S standard conjecture, established!" on the whiteboard and went silent for a long time. He then slowly spoke.
"As we all know, the standard conjecture can be divided into two parts. The first half was Professor Grothendieck's generalization of the rs theorem when he was researching the Weil conjecture, which is also known as the s standard conjecture. "
"The second half is the standard conjecture."
Lu Zhou frowned and thought for a long time, as if he was caught in a dilemma because of something troublesome.
The audience was silent.
Everyone was waiting for him to continue.
Under countless expectant gazes, his furrowed brows suddenly relaxed. In a relaxed tone, Lu Zhou continued.
"Forget it."
"Although this is only to demonstrate the application of the Grand Unified Theory in the study of algebraic geometry …"
"But since I've already written it down to this point."
"Let's just get rid of them all at once."
He didn't look at the shocked faces behind him, nor did he listen to the exclamations of shock and disbelief.
Lu Zhou casually threw down this sentence and walked to the blank whiteboard with awe, emotion, calmness, and many other complicated emotions. He stopped for a moment.
The standard conjecture was one of the most profound propositions in algebraic geometry.
Its profoundness lay not only in its complex beauty, but also in its profound reasoning.
Most directly, if the standard conjecture was true, Weil's conjecture could be deduced directly. It could also be deduced that the role of rbns on the cohomology group of a smooth projection algebraic cluster was semisimple. It could even be deduced that the numerical equivalence nbrn and the homology equivalence n were the same.
These are all known.
There were also theories waiting to be discovered.
It was no exaggeration to say that this conjecture guided the development of modern algebraic geometry.
However, at this point, its historical mission should come to an end.
As he lifted his hand, the pen on the whiteboard moved.
When n2, the quadratic form 1 ^ ^ r2 on ^ r ^ n21 is positive definite.
Where is a smooth projection algebraic cluster over a field, is a prime number that is coprime with the characteristics of, ^, is the order cohomology group of, and the intersection with the hyperplane of the projection space is the subalgebraic cluster of.
This conjecture was known when was an algebraic surface or a complex algebraic cluster.
What he was going to prove was that it was also true under normal circumstances!
Time slowly passed by.
More and more calculations appeared on the whiteboard.
The speed at which many people in the audience were absorbing information was gradually starting to be unable to keep up with the speed at which he was writing.
Perelman, who was sitting in the audience with his arms crossed, frowned. He suddenly sat up straight, and his pupils that were staring at the whiteboard instantly shrank to a point.
Schulz, who was sitting not far away from him, had the same reaction. He even exclaimed in disbelief.
"Using the ^ 2 cohomology method to obtain the topological information of the compact quotient of a complete manifold, extending the theory on compact manifolds to complete non-compact manifolds!
"Jesus Christ, he's a genius!"
This was a property of the ^ 2 cohomology theory mentioned in Sir Atiyah's 1976 paper on discrete groups and elliptic operators published in Annual Mathematics.
What was surprising wasn't just the ingenuity of Lu Zhou's idea. What really shocked Schulz was that Lu Zhou was able to use these mathematical tools as if they were breathing.
It was as if these mathematical tools were made for him.
Perelman looked at Schultz, who was dumbfounded, and muttered to himself, "What are you talking about?"
"This is obvious, even if you don't say it, everyone knows."
Not far away.
The two old men sat there and stared at the whiteboard.
The moment Lu Zhou successfully generalized the theory on compact manifolds to complete non-compact manifolds, Professor Deligné suddenly broke the silence and spoke.
"What do you think?"
Faltings sat next to him and didn't say anything.
After half a minute, he shook his head.
"I might need a little more time, maybe I'm really old."
Deligné was silent. He looked at the stage with a complicated look and didn't say anything else.
After so many years of friendship, this was the first time he heard Lu Zhou admit that he was old.
Although this was an indisputable fact, it still made him feel a little sad to hear Lu Zhou admit this.
The same conversation was happening on the other side of the venue.
However, the person who asked the question was Professor Qiu Chengtong, and the person who answered was Professor Tao.
As an all-rounder in the field of mathematics, he was probably the only person in the entire venue other than Lu Zhou who could keep up with the speed of writing on the whiteboard.
However, it wasn't easy.
Even for him, it was quite a challenge for him to completely keep up with this pace.
"His thinking speed is too fast. Let me make an inappropriate analogy. Most people might be sitting on a rocket, maybe I'm sitting on a Falcon, but it's still a rocket, no different from other rockets. But he's different, he's sitting on something similar to a warp drive. While I was still following the train of thought step by step, he had already folded the whole paper in half. From the stem of the proposition, he directly jumped to the part of the result. "
Because of his wife's work, he usually had a lot of contact with aerospace matters. Although he wasn't a professional, he still knew the model of a rocket.
Old Qiu didn't say anything about this strange analogy. He just silently looked at the whiteboard that was almost filled up.
After a while, he clenched his fists and sighed softly.
"Beautifully done!"
There was no doubt that this was the most glorious moment in the history of China mathematics.
No, to be precise, it was not just the China mathematics community.
Even if you looked at the entire world, there would be no more glorious moment than this.
At this moment, he was not only the god of mathematics, but he was also at the pinnacle of the human mind.
Standing in front of this whiteboard that was connected to the universe, regardless of nationality, race, or cultural background, everything seemed to become pale and meaningless.
Standing at the height of species and civilization, all of this was too insignificant.
As the last punctuation fell.
All was silent.
In fact, ten lines ago, there was no longer any suspense in the outcome. It was just that there were very few people who could see it.
Lu Zhou withdrew his pen from the whiteboard and took two steps back. He looked at his work for a long time as if he was looking at a piece of art.
After about ten minutes, he turned around, faced the silent venue, and slowly spoke.
"This is the proof of the standard conjecture."
His voice echoed in the spacious stadium.
The audience was completely silent.
No one spoke.
There was no applause either.
The dumbfounded or solemn expressions of the audience in the front row had already fully expressed their feelings and state of mind at this moment. No one had recovered from the double shock, both visually and mentally. Naturally, they didn't have much to say about it.
Lu Zhou didn't pause for too long. He looked around the silent venue and spoke in a calm tone.
"Actually, the Grand Unified Theory is the theme of this report.
"The proof of the standard conjecture is just to get the ball rolling. I hope that my demonstration will give you some inspiration in your future exploration of beautiful things. "
"Just like what we are witnessing right now, our theory has once again been verified. Our universe is perfect, it conforms to the beauty of mathematics.
"Anyone else, do you have any questions?"
The silence below the stage continued.
Still, no one spoke.
Everyone's shoulders relaxed.
Lu Zhou felt like a heavy burden had been lifted off his shoulders. He suddenly had a pleasant smile on his face.
That smile was like the spring wind in March. Although it did not have any special tension, it blew into the hearts of everyone in the audience. Wherever it brushed past, the ice melted and the snow melted, the clouds parted and the sun rose.
"If that's the case, this report ends here."
"I will be here for the next three days. If you have any new questions, you can find me here."
"Thank you."
The applause was like a torrential rain.
It almost tore the ceiling of the stadium apart.
Lu Zhou couldn't see clearly because it was too far away. However, he could see that the young and old faces were all filled with shock and madness.
It was as if the entire world had been wound up again. From the silence, it started to tick again.
The staff standing on both sides of the lecture hall, as well as the security personnel, cast strange looks at the venue. They didn't quite understand what was going on.
Of course they didn't understand.
It was just like how the beauty of mathematics wouldn't be open to everyone.
However, for people who could understand it, this kind of beauty would shock the soul.
Even though there wasn't any sound, it was like a song.
Bathed in the applause of the venue, Lu Zhou gently placed the marker in his hand on the podium. He took half a step back and slightly bowed. He then turned around and walked off the stage.
The era of the standard conjecture had come to an end.
This was a watershed moment.
Every minute from now on belonged to a new world!
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