As Tao Zhexuan's post was posted, it immediately attracted many netizens to reply.
After all, as the first Fields Medal winner to comment on the internalization space of external force sources proposed by Li Mu in this report, his comments are naturally quite authoritative.
Especially for him, a great mathematician who "knows a little bit of everything".
Ever since, under this post, netizens from all walks of life rushed to reply.
McKinley, who is also a mathematics professor at UCLA like Terence Tao, was the first to give a reply: [I bought this, Tao, have you actually finished reading it? Is this new space so powerful? I'll go see it now. 】
A mathematics professor from Princeton University also responded: [I study this aspect. What I have to say is that Tao’s comments are very pertinent. This new space has very important implications for the study of geometry. Meaningful role, although in the paper, the role proposed by Li Yang is the application in physics, internalizing external forces into the properties of space itself, but in fact, any external factors can be used, so from this On the one hand, I think it would be more accurate to call this space the exogenous internalization space.
At the same time, as Tao said, this space is very important for the study of the Navier-Stokes equation. At least for direct numerical simulation of DNS, it should be a big help, allowing direct numerical simulation The simulation results are more accurate.
Other functions still require certain research, but I think this new space will be a boon to the study of fluid mechanics. 】
…
With the personal statements of mathematics professors one after another, and even the comments of several other Fields Medal winners, almost half of the mathematics community now knows the huge role of the internalized space of this external force source. .
There are many people who study geometry. In other words, studying mathematics must study geometry. After all, there are only two major branches of mathematics, namely algebra and geometry. Therefore, the status of geometry in mathematics naturally goes without saying.
It's like the oldest and most classic masterpiece in mathematics, called "Elements of Geometry".
To study geometry, one must study space, including Euclidean space, non-Euclidean space, Minkowski space, etc., and each of these spaces has its own role.
Euclidean space is the skeleton of nature, and nature is within the framework of Euclidean space. The main research on non-Euclidean space is Roche space and Riemann space. This is a mathematically abstract space that can help mathematicians solve problems in mathematics. Some problems, and Minkowski space is specially prepared for the study of relativity theory. It can be said that it was born specifically for the study of relativity theory.
Now, Li Mu's space also has its own special role, which can reduce the complexity of fluid research and analysis and help mathematicians analyze the properties and motion laws of fluids from a more convenient perspective.
In this way, three months before the official start of the International Congress of Mathematicians, Li Mu's report has already aroused discussion in the entire mathematics community.
At this time, there was a problem that attracted the common attention of the mathematical community.
[Why did Li Mu suddenly start studying fluids? 】
As we all know, whenever Li Mu studies something, he must do something big.
Things like Li's Space, which are purely tools, basically serve the big project he wants to build.
So now, what does Li Mu plan to study?
At this time, as Li Mu's mentor and now colleague, Andrew Wiles was asked about this matter by many people.
Faced with these questions, Andrew Wiles often gives a mysterious answer.
"Li Mu's research is never purposeless. All his work is often carried out for a certain truth."
If others feel that his answer in this sentence is too unclear and continue to ask, he will give a second sentence.
"As for this issue, I can only say that everyone who understands understands it. Those who don't understand, I can't say too much, so everyone who understands understands."
Naturally, people hated Wiles's reply.
But no matter what, it also made everyone very curious about Li Mu's research.
Could it be that he really wants to make a big move?
In this way, the topic [What exactly is Li Mu studying?] has become a hot discussion topic in the mathematics community for a while.
Of course, since it is related to fluids, in the end, everyone's guesses will point directly to the ultimate problem of fluid mechanics, the Navier-Stokes equation.
…
"The proof of the hail conjecture tells us that seemingly simple rules also have complex principles."
“The proof of the twin prime conjecture tells us that even seemingly irregular distributions can eventually use mathematics to find the rules for their existence.”
"The proof of Goldbach's conjecture tells us that there is no pearl in mathematics that cannot be picked off, and our mathematics will never end."
"And Li Mu told us that there are no unsolvable problems in mathematics. If there are, it means that our research is not deep enough and our thinking angle is not broad enough. "
The time has come for June.
Jerusalem, the rostrum of a grand ceremony.
James Wolf, chairman of the Wolf Foundation, stood on top and announced the award loudly.
The Wolf Prize Award Ceremony begins on this day.
The gorgeous hall, with a philharmonic orchestra playing beautiful classical music next to it, brings the atmosphere to this focal moment.
In one word, upper class.
Of course, when science was born, people who could study science were basically considered to be in the upper class, so this was considered a tradition.
What is being awarded now is the Wolf Prize in Mathematics.
"Professor Li Mu is like a miracle. He suddenly rises in the academic world and solves various problems that have not been understood and solved in the academic world. We can't help but be amazed. Geniuses are always difficult to understand."
"The Wolf Prize in Mathematics is fortunate to be recognized by scholars in the field of mathematics as one of the most important awards in the field of mathematics, and such an award should most be awarded to a mathematics master like Li Mu who has added glory to the entire mathematics community."
"So, I announce that this year's winner of the Wolf Prize in Mathematics is--"
"Li Mu!"
James Wolfe smiled and applauded warmly.
Of course, at the same time, everyone in the audience clapped and cheered for this moment.
In the face of an achievement that can make all mathematics scholars despair, no one can stand up and question whether this winner is reasonable.
Under the stage, Li Mu, who was sitting at the front table, stood up with a smile on his face. In response to all the looks and congratulations from around him, he nodded and smiled back: "Thank you, Thanks."
Then, dressed in formal attire, he stood upright and walked onto the podium.
"Congratulations, dear Lee."
James Wolfe smiled and extended his hand to Li Mu, congratulating him.
“I am also grateful to the Wolf Foundation for recognizing my past achievements.”
Li Mu shook hands with the chairman of the Wolf Foundation and said with a smile.
James shook his head repeatedly and said: "No, no, no, you are being humble. It is masters like you who have brought the Wolf Prize to its current status in the academic world. We also want to thank you for constantly bringing human wisdom to the forefront." Take it higher."
"Okay, in this case, I think we don't need to say anything more. Let's officially start awarding awards."
James said, and then he turned to look at the certificate placed in the tray of the etiquette lady next to him.
The prize of the Wolf Prize is a certificate and a bonus of US$100,000. With this bonus of US$100,000, it is also the key to this award becoming famous among major awards.
James picked up the certificate and then handed it to Li Mu.
"Congratulations, you have become another winner of our Wolf Prize in Mathematics. I hope this honor can help you create more brilliance in your scientific career."
(End of chapter)