The End of Technology

Fan Zhenhua has never talked to these teachers about Ning Zhi's first paper on NS equations. This is also due to many considerations.

Although he is a reviewer, the paper has not yet been published, and Ning Zi has not uploaded the paper to pre-publication websites such as ChinaXiv or arxiv. As a reviewer, he must respect the author, the annual journal of mathematics, and the academic community. Some rules.

Why are villains so unlikable? Mostly because I talk too much.

If he had read Ning Zi's thesis with these teachers and professors in advance, it would have been impossible to hide it, and it would have spread throughout the Chinese academic community immediately.

The Navier-Stokes equation is different from the hyperdimensional cube sensitivity conjecture problem proved by Ning Zi. This problem has a far wider influence in the world than the sensitivity conjecture.

As the Millennium Problem that the Clay Institute has publicly offered a bounty for, it has naturally attracted more attention from the academic community. For many advances in this equation, which even won a Fields Medal, one cannot be too cautious.

Of course, for ordinary teachers, it is extremely incredible to meet a student who has published an article in the "Annual Review of Mathematics" before he entered undergraduate school.

Especially as lecturers and professors in the School of Mathematics at Peking University, they even doubted whether the editor of the "Annual Review of Mathematics" had changed his temper. After all, without letters of recommendation and mentors who could be recognized by these foreigners, there was a high probability that the editors would not read those manuscripts at all. of……

Therefore, everyone is extremely curious about the student Ning Ju. To be favored by the editor of the Annual Journal of Mathematics, and to be favored by Academician Fan, everyone believed that Ning Zi was outstanding, but whether it was worth investing so many resources made people doubtful.

He is indeed quite handsome, but I don't know if his knowledge is really worthy of the old academician spending so much time coaxing him?

After all, if everyone can accept the fact that Ning Zi refuses to come to Yanbei University and must go to Yanbei University of Physical Education with peace of mind, it is naturally impossible. When you think about it, there is a hint of not looking at everyone.

Ning Zi showed no emotion towards these scrutinizing glances.

Even if March hadn't told him to show some edge and show off his "I'm awesome" side in order to gain more favor and resources, he wouldn't even have wanted to come to this meal. After all, technically he is a student of Beijing Sports.

Fortunately, Fan Zhenhua knew Ning Zi's character, and after letting Ning Zi become familiar with everyone, he started to say hello to Ning's father and Ning Xiao, and then introduced the group of people who came from the University of Physical Education to everyone. Teacher, the atmosphere in the box began to heat up. Until everyone politely assigned seats.

Ning Zi was pulled by Academician Fan to sit next to him. On the other side sat Chen Yonggang, the president of the University of Physical Education. Ning's father, Ning Xiao and Lu Chengcheng were sitting next to them. The others and the mathematics professors from Yanbei University were sitting on the other side one after another. The large table in the box that could accommodate twenty people just happened to sit down.

As soon as everyone sat down, someone smiled and asked Ning Jie: "Classmate Ning, you are finally here. Our Academician Fan has been talking about you in front of us every day these days. I have also read your paper. , Very thoughtful. Which direction do you plan to study in the future?"

The questioner was Professor Luo Yi from Yanbei Institute of Mathematics.

It is naturally not easy to get a professorship at a place like Yanbei University. In fact, Luo Yi is one of the authorities in the field of probability in China. His main research directions are big data sampling and complex mathematical analysis, and he has cooperated with many large-scale Internet companies in China. Companies have cooperation.

This question naturally also has some educational implications. Everyone has a rebellious mentality, let alone these professors. The more they understood how much effort Fan Zhenhua had put in for Ning Zi, the more unhappy many professors felt. It's not that I have many bad thoughts, but mainly that I feel that this kid is a little ignorant.

Originally, you could come to Yanbei University with just a nod, but now everyone is required to go to the National Sports University to attend classes. Of course, whether it's worth it is a question. And it's not just that Fan Zhenhua can convince everyone if he thinks it's worth it.

As soon as Luo Yi asked this question, all eyes fell on Ning Zi.

Just waiting for Ning Zi to answer.

It is no exaggeration to say that the teachers sitting on half of the tables here cover almost most of the cutting-edge research fields of mathematics. No matter what answer Ning Zi gives, someone will pick up the conversation and find out the child's background.

Ning Zi raised his head and glanced at Professor Luo Yi, thought for a moment, and then replied calmly: "My study direction is relatively complex, but what I am currently studying is algorithms. The current mathematics content is about three-dimensional cubic nonlinearity. Several sharp scattering results for the Schrödinger equation, including free nonlinear equations and nonlinear equations with external potentials, a demonstration of scattering below the mass/energy ground state threshold, and a working principle on NLS subthreshold scattering with repulsive potentials."

In fact, the words must be spoken more truthfully. Ning Zi's wording is not very accurate. Because this cannot be regarded as the content of his recent research, it should be said that it is what he is studying and researching in the afternoon.

The sharp scattering results of the three-dimensional cubic nonlinear Schrödinger equation are of course not the specific content within the function of the turbulence algorithm to implement itself. But it is an extremely sophisticated anti-piracy introduction design related thing. Protecting source code using purely mathematical methods is an extremely detailed task and tests basic mathematical skills.

Of course, as soon as these words were spoken, the expressions of the mathematics lecturers and professors at the table who were already ready to examine Ning Zi froze...

how to say……

The Schrödinger equation itself is a very complex research direction. Specific to the research work on the sharp scattering results of the three-dimensional cubic nonlinear Schrödinger equation, you can basically apply for a subdivision topic to do research.

Mathematics is a very broad concept.

Especially modern mathematics, once it involves a very specific field, it is really not something that ordinary people can take the exam and teach.

There is a saying that every other line is like a mountain. This sentence can even be applied to different fields of mathematical research.

Of course, if you must ask questions, it's okay, but if Ning Zi's answer involves too many highly professional things, the professors will also need to check the information and make careful calculations to know whether it is correct or not. In this situation, it will be very difficult to step down. .

Why can't Ning Zi solve a nonlinear equation problem on the spot?

"Ahem, classmate Ning Ji, it seems that you mainly want to do research on partial differential equations in the future?" Luo Yi coughed a few words, hoping to forcefully change the topic. Of course, he was right to say so. After all, the Schrödinger equation Like the NS equation, it is a mathematical physics equation and a type of partial differential equation.

Then he saw Ning Zi opposite him and shook his head, still calmly explaining: "No, for now, I am more exposed to mathematical structures related to various moduli spaces generated in symplectic topology and gauge field theory. and invariants. For example, generalized Gromov-Witten theory, decomposition of modulus spaces and calculation of invariants, open and closed string duality, local mirror symmetry, etc."