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Chapter 429 Proof of Convergence about Rich Flow!

In this world…

Some people, even though they were born with good skins and dressed even more glamorously, are full of rashness in their abdomen.

Some people are not greedy for extravagance despite their unremarkable appearance.

But the eyes have the stars and the sea, the chest has many hills, and the heart has flowers like a brocade. One person, one book is the whole world.

Old man is probably the former.

But Wei Yidong is definitely the latter.

You can laugh at his appearance, but others can also laugh at your ignorance, not being a clown.

certainly.

Jiang Nan is an all-knowing and omnipotent, except for someone who is perfect. After all, he is a pig’s feet, incomparable.

In short.

When Jiang Nan saw Wei Yidong at the first glance, he thought he was a good person, holding a thick stack of draft paper in one hand, two white steamed buns in one hand, and a water bottle in the other.

this……

It is the legendary person.

so……

It was different from those who treated Lin Qingya who asked all the questions that elementary school students could do, so that he dismissed it.

For Wei Yidong.

Jiang Nan is very willing to help him solve his doubts.

It is worth mentioning.

This is the second time Jiang Nan has evaluated, treated, or valued a young man [within 30 years old] in this way.

The first one should be Wang Xuan, who is still on the other side of the ocean, who is the guide at Harvard when he participated in the International Four Competitions.

Living abroad, thinking of Dongyun, for the rise of Dongyun technology, and struggling to study in a different place.

It is also the attitude of not forgetting the original intention and having always been able to make it so that Jiang Nan would recognize Wang Xuan.

So that when he left Big Sheep, he did not hesitate to give a half of the priceless perfect graphene to the other party.

certainly.

They are indeed awesome.

Although there was no news for months.

However, I have sent several messages to Jiang Nan recently. It seems that he is going to return to China. It is not a dingy return, but the kind of achievement that has been made in major research and the return of the king.

And this year.

With his major discoveries on graphene, Wang Xuan has been published in “Nature” magazine four times, and created his unique record in Dongyun and even in the world.

It was also ranked as the top ten scientific figures influencing the world this year by the “Nature” magazine, and the bullfrog is so spicy.

certainly.

Wang Xuan can achieve such great results, of course, can not do without Jiang Nan’s great help (´｡✪ω✪｡｀).

If it were not for Jiang Nan to give it a part of perfect graphene, the latter would not be able to thoroughly demonstrate magic angle graphene and discover many important properties of graphene on this basis.

That’s why.

Wang Xuan will keep in touch with Jiang Nan, and while sharing his joy with the latter, he also expresses his most sincere gratitude.

only……

One of Jiang Nan’s busy recently.

I haven’t responded much.

But it doesn’t mean that he doesn’t pay attention to Wang Xuan.

on the contrary.

He still attaches great importance to the latter.

You know Jiang Nan, if you say that he is easy to get along with, that’s also easy to get along with, and that’s not easy to get along with.

Although he is not proud, most of his peers and young people are nothing but scum in his eyes.

The only exception is Wang Xuan.

[Sp: Bai Yingying is not in this case! 】

And now…

Then there is the second one, Wei Yidong.

At the same time.

When Wei Yidong saw Jiang Nan stretched out his hand, he was immediately overjoyed, “Then… Then I will bother Jiang Nan!”

Finished.

He did not hand the draft paper to Jiang Nan, but took the initiative to spread it out on the table in front of Jiang Nan.

He held down the corner with the steamed bun and water bottle in his hand, and pointed out the place that puzzled him the most.

Um!

The desire for knowledge and the attitude of a person are obvious.

To this.

Jiang Nan nodded, and didn’t say anything else, because it didn’t make sense, he just cast his eyes on the question on the paper.

This is a question about differential geometry.

exactly……

It’s about [Convergence of Rich Flow].

this……

Most of you probably know it, right?

It doesn’t matter if you don’t know, after all, normal people don’t know, including Lao Cang (•̥́ˍ•̀ू).

Differential geometry is a branch of mathematics.

It mainly uses analytical methods to study the geometric properties of space (differential manifold).

The branch of mathematics that uses differential calculus to study the graphical properties of curves and surfaces in three-dimensional Euclidean space originated in the 17th century almost at the same time as calculus.

The research of differential geometry has an immeasurable influence on other branches of mathematics, mechanics, physics, engineering, etc. Mathematicians such as Euler, Monge, Lagrange, and Cauchy have all worked on differential geometry. Important contribution.

And [Rich Flow] is an inherent geometric flow in differential geometry.

Its main idea is to deform the manifold over time.

That is, let the metric tensor change with time, and observe how the Ricci curvature changes under the deformation of the manifold, in order to study the overall topological properties.

Its core is the Hamilton-Ricci flow equation, which is a quasi-linear parabolic equation system.

Um!

It is estimated that everyone still can’t understand.

After all, this written explanation is too abstract.

Even the old man looked at the clouds and mists, and he didn’t know what to do, and he was puzzled about “what is the use of this thing in the end?”

But an analogy is easy to understand.

“If you blow up a balloon, the balloon will continue to expand. We can use [Ridge Flow] to study the changes in its space, and finally get an ideal result of “perfect perfection”, and so on, and so on. Expansion and contraction, many natural phenomena can be attributed to spatial evolution]. ”

In short.

This [Convergence of Ridge Flow] is very bullfrog.

If you still don’t understand.

That is known as the “Poincaré Conjecture” among the Seven Mathematics Problems of the Millennium!

It is the only one among the seven conjectures that has been proved. The prover can not only get one million sheep yuan, but also the Fields Prize.

However, the other party dismissed it, and it is said that he did not get the money, or even the Fields Prize.

And [Poincaré Conjecture] is a proposition with basic meaning in topology, which is solved by using [Rich Flow]. The importance of the latter can be seen in general.

Although the [Convergence of Rich Flow] studied by Wei Yidong is only one of the characteristics of Rich Flow.

If it can be researched, it will be a major development in the field of geometric analysis. It will stimulate many related studies and extend it to the study of mean curvature flow. It can also solve some famous conjectures, such as extensional conjectures.

Gee!

That’s definitely a terrible bullfrog.

However, although this thing is important, it is not as difficult as usual. I don’t know how many people in the world have broken down.

However, Wei Yidong began to study it at a young age, which shows his deep research on differential geometry.

To this.

Jiang Nan’s eyes lit up too.

“Not bad, this question is interesting!”

“Although it is not comparable to the twin prime conjecture, Zhou’s conjecture and ABC conjecture, it is not simple.”

“It can even be said that it is the most in-depth question I have been asked in the past few months in the library.”

“Even if it’s me, I guess it will take some time to solve it! (๑•̀ㅂ•́)و✧.”

“…”

Jiang Nan has always been not afraid of difficult questions, but not difficult questions.

The easier it is, the more tasteless it is.

This is why he doesn’t like to talk to Hua Lin Qingya, the former school of Huaqing, recently.

The harder the question, the stronger his interest.

Originally, he had a good impression of Wei Yidong.

And looking at this [Convergence of Ritchie Flow], the impression of the latter is immediately better ε٩(๑＞₃＜)۶з.

do not judge a book by it’s cover.

Wei Dongyi is indeed very good.

This is amazing…

Not only does it mean that it has a deep research on the Ritchie flow, it also means that it almost expresses the [Convergence of the Ritchie flow], which is just stuck at a small key point.

Jiang Nan can be sure…

Even if no one is pointing, as long as Wei Yidong is given a certain amount of time, the other party can fully express it.

but……

Now that they have asked themselves.

Of course he wouldn’t turn a blind eye. After a little thought, he gave Wei Yidong a suggestion.

That is……

“Here you can introduce the extension of the mean curvature, and then you can prove it back and forth!”

“What do you think, classmate Wei Yidong?”

“…”