The Science Fiction World of Xueba

"Pang, the masters in the field of fluid mechanics should be very happy to know that you want to study NS equations!"

Terence Tao laughed.

Everyone also laughed.

Now in academia, Professor Pang is a golden signboard.

As long as he is interested in any field, that field will definitely develop by leaps and bounds.

Needless to say, there are many conjectures in the field of mathematics.

In the field of carbon nanomaterials, electronic-grade pure carbon nanotubes, ultra-large-size graphene materials, ultra-high-strength flying blade materials, etc., have all proved Pang Xuelin's ability.

Not to mention the world-changing lithium-air battery.

The appearance of this battery has directly changed the global energy structure and industrial structure.

Even the old American leader who always likes to talk nonsense and not take the usual path, was forced to bow his head by this cross-generational product.

Not to mention academia.

At present, all major countries in the world have increased investment in carbon nanomaterials and lithium-air batteries, trying to break China's monopoly.

As a result, scholars from all over the world who are engaged in electrochemistry and carbon nanomaterials are at ease.

In the past few years, the scientific research funding they have received is equivalent to the sum of the past ten years.

Even in China, due to the siphon effect produced by Pang Xuelin, while the domestic scientific research funds are converging to Qiantang Laboratory, the top scholars in electrochemistry and carbon nanomaterials in the country are also gathering in a steady stream.

This is also the reason why Li Changqing and Cao Yuan's team solved superconducting 128 in such a short period of time.

Now, Pang Xuelin is turning his attention to the NS equation. Once a breakthrough is made, future human breakthroughs in fluid mechanics, aerodynamics, plasma dynamics and other application levels will be enough to make scholars in these fields full of food.

Pang Xuelin couldn't help crying and laughing: "I just thought of it temporarily, I didn't think about it that much."

Everyone chatted until ten o'clock in the evening before they dispersed.

Early the next morning, Pang Xuelin still came to Jiangda to sit on duty.

All the work at the Qiantang Laboratory has been on the right track one after another.

This semester, Pang Xuelin began to have time to devote part of his energy to teaching.

Especially his few students.

When I met such an unreliable boss, in the past few semesters, except for the beginning of the semester and the end of the semester, most of the time I could only contact Pang Xuelin by email.

Ai Ai and Meng Yao are okay, Ai Ai is more noisy, and often contacts Pang Xuelin through WeChat from time to time.

In addition, this year a paper on the relationship between Ponzi geometry and algebraic topology was published in the "Journal of the American Mathematical Society", and was invited by the International Congress of Mathematicians to give a 45-minute report.

Ai Ai no longer needs to worry about Pang Xuelin, this girl is now a rising star in the international mathematics circle.

Her thesis at the level of the four major journals is fully qualified as her doctoral dissertation.

Meng Yao was thrown under Li Changqing by Pang Xuelin, but somehow he was drawn into the superconducting 128 project.

When this project is completed and published, Meng Yao will almost be able to complete his graduation thesis.

At that time, with the status of Pang Xuelin's student and the experience of the superconducting 128 project, Meng Yao can get a title of associate professor or higher in any school he goes to.

But Meng Yao didn't care about these things. He had already talked with Pang Xuelin, and after graduation, he joined Qiantang Laboratory and became a formal researcher of Qiantang Laboratory.

With his academic level, he is fully capable of being independent in the future.

The remaining three, a Frenchman David Halker, another German girl Sophie Heymann, and the last one is Tomoko.

Sophon is currently working in the Golden Dragon Group, and he is very busy every day. Especially in the past month, Sophon has been stationed in the United States and has started negotiations with the United States on matters related to the Golden Dragon battery factory.

Pang Xuelin hasn't seen her since he came back from China Sun World.

Even in the eyes of several other students of Pang Xuelin, Sophon has not been regarded as a student of Pang Xuelin for a long time.

As for David Harker and Sophie Heyman, their performance in the past year can only be regarded as quite satisfactory. Although they both successfully completed the projects assigned by Pang Xuelin, they did not excel in the academic field like Ai Ai and Meng Yao. achieve something.

But it's not that their ability is not good, but that they have somehow gotten it in the past year, and they have become obsessed with differential geometry.

And try to use the idea of ​​Ponzi geometry to solve some problems in differential geometry.

This idea is very novel, but if you want to achieve anything, you have to toss for a few more years.

But naturally Pang Xuelin would not let them procrastinate like this. He called his disciples over today just to talk about the upcoming graduation.

"Ai Ai, Halk, Sophie, Meng Yao, you have been studying under me for two years, and this is the third year. I have no intention of delaying your graduation, so in the next year, you You have to focus on your graduation thesis."

In the office, Ai Ai, Harke, Sophie, and Meng Yao all stood in front of Pang Xuelin's desk.

"Teacher, can we choose the topic of the thesis ourselves?"

Halke asked curiously.

Pang Xuelin smiled slightly and said: "Ai Ai and Meng Yao can choose their own topics. I will not interfere with your research and give you the greatest degree of freedom. If you have any questions then, just come to me. As for Halk and Su Fee..."

Pang Xuelin paused, took out two blank papers full of words from his desk and handed them to the two of them, "This is your topic for the next year. You can work together to solve this topic, or you can solve it independently. As long as you can If you successfully complete this subject within one year, I will allow you to graduate."

Jalke took the note and read it.

Immediately afterwards, Sophie frowned.

One of the core issues of global differential geometry is to study the relationship between local invariants and global invariants, and to study the relationship between curvature and topology.

Let's examine the surface S, which has a measure on it, and also has a Gaussian curvature K. If the surface is compact and boundless, the Gaussian curvature K can be integrated on the entire surface.

A surface does not necessarily have only one metric, but another metric. After changing the metric, the corresponding Gaussian curvature K also changes, but the integral value has nothing to do with the metric of the surface, but only with the Euler characteristic number χ of the surface (S) related. This is the profound connotation revealed by the Gauss-formula.

For the high-dimensional Riemannian manifold M, the Gaussian curvature can be extended to the section curvature, which is determined by the Riemannian curvature tensor, and the integrand is a very complex algebraic formula composed of curvature tensor, called Gauss-integrand, which The integral on the whole manifold should be determined by the Euler characteristic number χ(M) of this manifold.

Its intrinsic proof was obtained by Chern Shiingshen, and it was later called Gauss–Chen formula, for compact and boundless even-dimensional manifolds...

...

David Halk looked at it for a long time, then raised his head, and said to Pang Xuelin, "Professor Pang, do you want us to prove Hopf's conjecture?"

Sophie Heyman on the side couldn't help but look up and looked at Pang Xuelin curiously.

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