"Pang, the big guys in the fluid mechanics would be very happy if they knew you were going to study the ns equation!"

Tao Zhexuan said with a smile.

Everyone laughed.

Now in the academic world, Professor Pang is a golden sign.

If he is interested in which field, he will definitely develop rapidly.

There is no need to say many conjectures in the field of mathematics.

The field of carbon nanomaterials, electronic-grade purity 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 lithium-air battery that has changed the world.

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

Even the American commander who has always liked to talk nonsense and go uncommon, has been forced to bow his head by such cross-age products.

And the academic community, let alone.

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

As a result, scholars working in electrochemistry and carbon nanomaterials in countries around the world were relieved.

In recent years, the scientific research funds they have received are equivalent to the total of the past decade.

Even in China, due to the siphon effect generated by Pang Xuelin, domestic scientific research funds gathered to Qiantang Laboratory, top scholars in the country who work in electrochemistry and carbon nanomaterials have also gathered here.

This is also the reason why Li Changqing and Cao Yuan’s team got Superconducting 128 in such a short time.

Now, Pang Xuelin has turned his attention to the ns equation. Once a breakthrough is made, future breakthroughs in human applications such as fluid mechanics, aerodynamics, plasma dynamics will be enough to make scholars in these fields eat a lot.

Pang Xuelin couldn't help but laugh and cry: "I just started to think about it temporarily, but I didn't think so much."

Everyone talked until ten o'clock in the evening before they parted.

The next morning, Pang Xuelin still came to Jiangda to take a shift.

All work in Qiantang Laboratory has been on track one after another. This semester, Pang Xuelin began to have time to focus part of his energy on teaching.

Especially his students.

I met such an unreliable boss. In the past few semesters, I basically only contacted Pang Xuelin by email most of the time except for the beginning of the school year and the end of the semester.

Ai Ai and Meng Yao are not bad. Ai Ai is more noisy and often contact Pang Xuelin through WeChat from time to time.

In addition, this year, a paper studying the relationship between Ponzi geometry and algebraic topology was included in the Journal of the American Mathematical Society, and was invited by the International Conference of Mathematicians to give a forty-five-minute report.

Ai Ai no longer needs Pang Xuelin's concern. This girl is now a rising star in the international mathematics community.

Her four major journal-level papers are fully qualified as her doctoral thesis.

Meng Yao was thrown by Pang Xuelin under Li Changqing, but inexplicably he was pulled into the Superconductor 128 project.

After this project is completed and published, Meng Yao will almost complete his graduation thesis.

By then, Pang Xuelin's identity as a student and his experience in the Superconducting 128 project, Meng Yao will be able to get the title of associate professor or above any school he goes to.

However, Meng Yao didn't care about these things. He had long been with Pang Xuelin Yanming. After graduation, he joined Qiantang Laboratory and became a formal researcher in Qiantang Laboratory.

With his academic level, he will be able to stand alone in the future.

The remaining three are one Frenchman David Halk, the other German girl Sophie Heyman, and the last one is Tomoko.

Zhizi is now working in Jinlong Group and is busy every day. Especially in the past month, Zhizi has been stationed in the United States and has negotiated with the United States on matters related to the Jinlong battery factory.

Pang Xuelin hasn't seen her even after returning from China's Sun World.

Even in the eyes of several other students of Pang Xuelin, Zhizi has long been regarded as Pang Xuelin's student.

As for David Harke and Sophie Heyman, the performance of these two people in the past year can only be considered as just-in-law. Although they have successfully completed the topics assigned by Pang Xuelin, they have not made any achievements in the academic field like Ai Ai and Meng Yao.

But this is not because their ability is not good, but because they have not known how they have become obsessed with differential geometry in the past year.

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

This idea is very novel, but if you want to achieve something, you have to work hard for a few more years.

But Pang Xuelin naturally would not let them drag on like this. Today he called his disciples over to talk about the next graduation matter.

"Ai Ai, Hark, Sophie, Meng Yao, you have been studying for graduate school under my command for two years. This year is the third year. I have no idea of ​​delaying graduation, so in the next year, you have to focus on your graduation thesis."

In the office, Ai Ai, Harke, Sophie, and Meng Yao were all standing at Pang Xuelin's desk.

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

Halke said curiously.

Pang Xuelin smiled slightly and said, "Ai Ai and Meng Yao can choose the topics themselves. I will not interfere with your two studies and give you the greatest freedom. If you have any questions at that time, just look for me. As for Hark and Sophie..."

Pang Xuelin paused, took out two pieces of white paper with words from his desk and handed them to the two and said, "This is your project for the next year. You can solve this project in cooperation or independently. As long as you can complete this project successfully within one year, I will allow you to graduate."

Hark took the note and looked at it.

Immediately afterwards, Sophie's brows also frowned.

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

Let’s examine the surface s. It has measurements on it, which means Gaussian curvature k. If the surface is tight and boundless, Gaussian curvature k can be integrated on the entire surface.

A surface does not necessarily contain only one measure, but another measure can be there. After changing the measurement, the corresponding Gaussian curvature k will change, but the integral value has nothing to do with the measurement of the surface, but is only related to the euler representation number x(s) of the surface. This is the profound connotation revealed by the gauss-bon formula.

For high-dimensional Riemann manifold m, Gaussian curvature can be generalized to cross-sectional curvature, which is determined by the Riemann curvature tensor. The integrative function is a very complex algebraic formula composed of the curvature tensor, called the gauss-bon integrative function. Its integral on the entire manifold should be determined by the euler representation number x(m) of this manifold.

Its connotation proved to be obtained by Chen Shengshen, and later called the gauss-bon-chen formula, which is a compact and boundless even-dimensional manifold...

...

David Harke looked at it for a long time before then raised his head and said to Pang Xuelin: "Professor Pang, do you want us to prove the Hopf conjecture?"
Chapter completed!