Chapter 1119: The Peak of the Human Mind!
In fact, as for the fact that he is still not a human being, Lu Zhou may not be able to answer this question now.
Although judging from the data on the physical examination and laboratory sheets, the strengthening of the system does not seem to be reflected in the transformation of him, but with his current thinking ability, it is obvious that he has surpassed the scope that ordinary humans can reach or even understand.
If he remembers correctly, Professor Deligne had invited him to join the study of the standard conjecture when he first entered Princeton, about six years ago.
Now, six years have passed.
It is clear that there has been no significant progress on this subject so far.
Now, however, solving it is as simple as breathing.
Although a large part of the reason for this is that the grand unification theory provides a theoretical basis for proving this proposition, even putting aside the conclusions that can be directly drawn through the grand unification theory, it is quite a terrifying thing to solve so many problems in just half an hour.
Even in his own opinion.
Taking a deep breath of cold air, the restless emotions in his chest cooled down slightly, and Lu Zhou looked at the line on the whiteboard, "S standard conjecture, established!" The words were silent for a long time, and then slowly spoke.
"As we all know, the standard conjecture can be divided into two parts. The first half is Professor Grothendieck's generalization of the RS theorem when he studied the Wey conjecture, which is known as the S criterion conjecture. ”
"And the second half, it's the standard conjecture."
It seemed that he was entangled because of some troublesome matter, Lu Zhou frowned and thought for a long time.
The audience was silent.
Everyone was waiting for him to continue.
Under the gaze of countless expectant eyes, the frowning brow suddenly relaxed, and in a relaxed tone, Lu Zhou continued.
"Forget it."
"Although only to demonstrate the application of Grand Unified Theory to the study of algebraic geometry problems"
"But now that it's all written."
"It's better to solve it together."
I didn't look at the shocked faces behind me, nor did I listen to the exclamations and unbelievable discussions that resounded through the venue.
Lu Zhou, who threw down this sentence lightly, walked to the blank whiteboard placed next to him with many complex emotions such as awe, emotion, and calm, and stopped for a moment.
The standard conjecture is one of the most profound propositions in algebraic geometry.
Its profundity lies not only in its complex beauty, but also in its profound inferences.
The most straightforward, if the standard conjecture is true, can directly deduce the Wey conjecture through it, and can deduce that the role of RBNS on the cohomology group of smooth projective algebraic clusters is semi-single, and even the numerical equivalence of the algebraic closed chain brn in the algebraic cluster is the same equivalence relationship with the cohomology equivalent n, and so on.
These are all known.
There are also theories that have yet to be explored.
It is no exaggeration to say that it was this conjecture that guided the development of modern algebraic geometry.
However, at this point, its historical mission should also come to an end.
As his hand lifted, the pen that had fallen on the whiteboard moved.
When n2, the quadratic form 1^^r2 on ^r^n21 is positively definite
where is the smooth projective algebraic cluster on the field, is the prime, ^, is the order cohomology group with the feature coprime of the surface, ^, is the subalgebraic cluster of the intersection with the hyperplane of the projection space.
This conjecture is known when it is an algebraic surface or a complex algebraic cluster.
And now what he wants to prove is that, under normal circumstances, it is also true!
Minutes and seconds passed.
There are more and more calculations on the whiteboard.
Many people sitting in the audience gradually began to be unable to keep up with the speed of information ingested by him.
Perelman, who was sitting under the stage with his brows furrowed and his arms crossed, suddenly sat up straight, and his pupils looking directly at the whiteboard instantly shrank into a point.
Schultz, who was sitting not far from him, reacted almost identically, even letting out an exclamation of disbelief.
"The topological information of the complete manifold compaction quotient is obtained by using the ^2 on-cohomology method, and the theory on the compact manifold is extended to the complete non-compact manifold!"
"Oh my God, he's a genius!"
This is one of the properties of the theory of cohomology on ^2 mentioned by Sir Attiyah in his 1976 paper on the study of discrete groups and elliptic operators in the Annals of Mathematics.
It wasn't just the ingenuity of his ideas that was astonishing, but what really struck Schultz was that he was able to use these mathematical tools as easily as he breathed.
It's as if those mathematical tools were made for him.
Glancing at Schultz, who had not spoken, Perelman, who had never spoken, muttered a rare word.
"This kind of obvious thing, even if you don't say it, everyone knows about it."
Not far away.
The two old men sat there, staring motionless at the whiteboard.
At the moment when Lu Zhou successfully extended the theory on the tight manifold to a complete non-tight manifold, Professor Deligne suddenly broke this silent tacit understanding and spoke.
"What do you think?"
Sitting next to him, Faltins did not speak.
After about half a minute, he shook his head.
"I may need a little time, maybe, I'm really old."
Deligne was silent, looked at the stage with a complicated expression, and did not speak again.
After so many years of friendship, it was the first time he heard that this guy admitted that he was old.
Although this is an indisputable fact, hearing this guy admit it still makes him a little melancholy
The same conversation is happening on the other side of the venue.
It's just that it was Mr. Qiu Chengtong who asked the question, and the person who answered 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 the whiteboard and the board except for Lu Zhou himself.
Although it is not easy.
Even he is quite challenging to keep up with this rhythm completely.
"His thinking speed is too fast, to make an inappropriate analogy, ordinary people may be riding rockets, maybe I am sitting on P's falcon, but the essence is still rockets, there is no essential difference from other rockets. But he's different, he's already got on something like a warp engine. While I was still following a line of thought step by step, he had already folded the whole sheet in half, jumping from the question stem of the proposition to the result part. ”
Because his wife is working, he usually has a lot of contact with aerospace things, although he may not be professional, but he is still clear about the model of the rocket.
Mr. Qiu didn't say anything about this strange metaphor, but silently moved his gaze to the almost filled whiteboard.
After a long while, he clenched his fists and sighed softly.
"Well done!"
There is no doubt that this is the most glorious moment in the history of Chinese mathematics.
No, to be precise, it's not just the Chinese math community.
Even if you look at the world and look back at history, I am afraid you will not find a more glorious moment.
At this moment, he ascended not only to the throne of the temple of mathematics, but also to the pinnacle of the human mind.
Standing in front of this tabula rasa, which connects the universe, whether it is nationality, race, or cultural background, it seems to have become pale and meaningless.
At the height of species and civilization, all of this is too small.
As the last punctuation point falls.
It's quiet.
In fact, as early as ten lines ago, there was no suspense in the result, but there were very few people who could see it.
Retracted the pen that fell on the whiteboard, Lu Zhou, who took two steps back, looked at his results, as if he was looking at a work of art, and looked at it for a long, long time.
About ten minutes had passed before he turned around, faced the silence of the venue, and spoke slowly.
"The above is the proof of the standard conjecture."
Voices echoed through the empty arena.
The audience was silent.
No one spoke.
There was no applause.
The expressions of the audience in the front row, whether sluggish or solemn, have exhausted their mood and state at this moment. No one has recovered from the double shock of vision and soul, and naturally there is no feeling anymore.
Without pausing for too long, Lu Zhou glanced around the silent venue and continued in an unhurried tone.
"In fact, the theory of great unification is the theme of this seminar."
"The proof of the standard conjecture is just a brick throw. I hope that through my presentation, I can bring some inspiration to you to explore beautiful things in the future. ”
"As we all witnessed, our theory once again proves that our universe is perfect, that it conforms to mathematical beauty."
"Anyone else, do you have any questions?"
The silence continued.
Still no one spoke.
Shoulders loosened.
It felt like he had put down the burden of a thousand catties, and Lu Zhou, who had never had any ups and downs in his expression, suddenly showed a pleasant smile on his face.
That smile is like the wind in early spring, although there is no special tension, but it blows into the bottom of every listener's heart, where it blows, the ice melts, and the clouds open and the sun rises.
"Since there isn't, then this report meeting will be here."
"I'll be here for the next three days, and if you have any new questions, you can come here to find me."
"Thank you."
Applause rang out like pouring rain.
Almost toppled the ceiling of the stadium.
Lu Zhou couldn't see too far away, but as far as he could see, the faces of those young and old people were full of shock and madness without exception.
It was as if the whole world had been rewound, from silent silence to ticking again.
The staff standing on either side of the lecture hall, as well as the security personnel, invariably cast surprised glances into the venue, not quite understanding what was going on.
Of course, they will not understand.
Just like the beauty of mathematics itself doesn't open up to everyone.
However, for those who can understand it, this beauty is shocking to the heart and goes to the depths of the soul.
It doesn't have any sound, but it's like a song.
Bathed in the applause that resounded through the venue, Lu Zhou gently rested the marker pen in his hand, which was destined to become a historical relic, on the podium, took a half step back and bowed slightly, and turned around and walked to the audience.
The era of standard conjecture has come to an end.
Take this moment as a watershed.
Every minute from now on, it belongs to a new world!