Scholar’s Advanced Technological System

6 Zhou originally thought that he was used to this feeling. Vertex Novel x23us

What I did not expect was that when he was standing here, it was still difficult to restrain the surging tide.

Unlike the report in the lecture hall No. 1 of Princeton Institute of Advanced Studies, this time he is not only facing the mathematical theory world, but the entire mathematical world ...

Standing on the reporting table, 6 Zhou took a deep breath, calming his heart rate gradually.

Looked at the watch for the nth time.

Looking at the second hand that was getting closer, he put a serious look on his face and cheered up.

"It's about to start!"

Nine o'clock.

There is no need to maintain discipline at all. When the time reached the hour, the meeting place, which seemed to be noisy and chaotic due to whispered discussions, quieted down immediately.

Under the much attention, a clear line of titles emerged from the silver-white curtain.

[Proof of the existence and smoothness of the solution of the three-dimensional incompressible navier-stokes equation]

Responding to the pair of double sights under this platform, 6 Zhou slowly opened his mouth and began the opening of the report.

"Why a high-speed car doesn't break down by itself, and why a still lake doesn't suddenly explode."

"For a long time, we have been troubled by the obvious, because the truth we desire is always in the obvious disguise."

"Even as early as the 19th century, we have summarized the equations that summarize the laws of fluid motion and make them look concise enough, but to this day, we still have no idea about the deeper mathematical and physical connotations behind the equations. "

"Mathematics is a rigorous discipline that involves propositions about numbers. It should not be described in ambiguous or perhaps ambiguous words."

"Returning to the original question, why do n’t high-speed cars break down by themselves? Why do n’t stationary lakes suddenly explode? Is there such a mysterious singularity on an infinite time scale that our equations disperse in a limited time ? "

"Now, it's time to answer this question."

The short opening remarks ended, and the ppt on the curtain turned to the next page.

The report meeting also entered the topic.

In three seconds, 6 Zhou quickly sorted out his thoughts in his brain. Then he faced the audience and made a brief summary of his proof ideas in one minute.

The audience was silent.

Everyone gazed at the pictures and calculations on the curtain, and everyone was listening carefully, unwilling to let go of any detail, and unwilling to miss any moment.

[Μ (t) = e ^ (t △) μo + se ^ (t-to39;) △ b (μ (t ′), μ (to39;)) dto39;]

[……]

"When we give a Schwartz divergence-free vector field μo to the equation, set the time interval i [o, ∞), and then continue to define a generalized solution h1o of the navier-stokes equation as an integral equation μ (t) Continuous mapping of μ → h1odf (r3) ... "

While the ppt in the curtain was being projected, the 6 boat holding the laser pointer in his hand was explaining beside him with even words.

There is nothing special in the previous section.

Similar things can be seen in many papers on ns equation research.

This part is indispensable whether it is using the abstract proof method to construct the abstract bilinear operator bo39; or the "1 manifold" method he uses.

However, the next part is the key to the whole proof of thought!

He introduced the concept of differential manifolds into the problem of partial differential equations.

And this is exactly the core of the theory of "using topological methods to study partial differential equations"!

...

Under the stage, Xu Chenyang looked dignified, and the nib in his hand lightly tapped on the notebook.

After a while, he whispered to Zhang Wei sitting next to him, in a voice that only two people could hear.

"Do you understand?"

Zhang Wei shook his head: "I haven't studied much about partial differential equations more than you. If you start to feel struggling, then I'm almost there."

Zhang Wei's direction is similar to that of his mentor Zhang Shouwu, mainly focusing on representation theory, Langlands program, and research on Dirichlet 1 function.

Partial differential equations are not his area of ​​expertise, and he only knew about ns equations because of his interest.

After all, it is impossible for everyone to be as talented as Tao Zhexuan. While proving the weak conjecture of Goldbach's conjecture, studying the abstract proof of the ns equation, and even taking the time to read the paper of Wang Yuexin ...

In mathematics, omnipotence is not without.

But it's rarer than pandas ...

Looking at the calculations on the curtain, Xu Chenyang couldn't help feeling: "It's incredible ..."

Zhang Wei: "What's incredible?"

Xu Chenyang: "Number Theory, Abstract Algebra, Functional Analysis, Topology, Differential Geometry, Partial Differential Equations ... Is there a direction he is not good at?"

"Maybe ... algebraic geometry?" Zhang Wei's voice was full of uncertainty when he said this.

Because he just said this, he remembered that 6 Zhou ’s mentor was Deligne, and his ancestor was the legendary “father of modern algebraic geometry” and “the pope of mathematics”.

The core theories of modern algebraic geometry are basically derived from several works by Grothendieck that have not yet been lost.

To say that he doesn't know algebra, Zhang Wei killed and didn't believe it.

At most, it has not been studied yet, and the results are still in the pipeline ...

...

On stage, the report will continue.

6 Zhou's words are getting faster and faster, and the thinking is getting clearer and smoother.

1 The introduction of manifolds played a decisive role in solving the entire proposition.

It was like a sledgehammer, opening a gap in the unbreakable maze wall.

With the arrival of this moment, the original confusing situation became instantly clear.

At the same time, the atmosphere in the venue was also pushed to Gao Chao.

Sitting in the corner of the venue, Fefferman smiled, and from this moment he had seen the last.

Tao Zhexuan, on the other side of the venue, whispered "So it is" in his mouth, his eyes glowed with excitement.

In the back row of the venue, feeling the heat in the atmosphere, Vera squeezed her right hand, and her calm heartbeat began to increase suddenly. At this moment, she is proud of her mentor ...

Also sitting in the back row of the conference hall, Faltins's original tight mouth suddenly evoked a slight angle.

He noticed the change in the expression on his old friend's face, Deligne asked casually.

"how are you feeling?"

Faltings said blankly: "Average."

"Don't you blush when you say that?" Deligne smiled slightly, and returned him as a gift to him.

The corners of his mouth twitched, and Faltins ignored the ridicule of his old friends ~ www.readwn.com ~ looked at his watch and slowly stood up.

Deligne: "It's almost over, don't you see the end?"

"It's not necessary."

Anyway, I understand everything.

Boring questions are left to others to say hello.

With this sentence left, Professor Faltins didn't stop, and the crowd sitting on the floor across the aisle went straight to the exit of the venue.

And almost as soon as Professor Faltings left the lecture hall, the whole report also came to its final conclusion.

When the last line of calculations came into the audience's sight, there was almost no need for any further explanation.

Because, as the audience can see, the final answer is ready.

"... combining all the inferences above, the results are already obvious. The solution to the three-dimensional incompressible navier-stokes equation exists and is as smooth as we expected!"

That voice was clear and certain.

Although not arrogant, but with a convincing magic.

And the source of that magic is knowledge.

Almost immediately the voice fell.

The audience stood up from their seats.

There was a thunderous applause, and there was an instant, in this wide and crowded lecture hall, endless ... & 1t; / dd>

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