MTL - The Science Fiction World of Xueba-Chapter 491 Essay topic

"Pang, if you know that you want to study the NS equation, you should be very happy!

Tao Zhexuan laughed.

Everyone laughed.

Now in the academic world, Professor Pang is a gold signboard.

Wherever he is interested in which field, there will definitely be rapid development in which field.

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

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

Not to mention the lithium-air battery that changed the world.

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

Even the old and beautiful leaders who always like to believe that the river is open and not taking the usual road are forced to bow their heads by this cross-generational product.

Not to mention the academic world.

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

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

In recent years, the 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 domestic research funds are pooled in the Qiantang laboratory, the country ’s top scholars in electrochemistry and carbon nanomaterials are also coming together.

This is why Li Changqing and Cao Yuan's team will get superconducting 128 in such a short time.

Nowadays, Pang Xuelin turns his attention to the NS equation. Once a breakthrough is made, the future breakthroughs in the application of fluid mechanics, aerodynamics, and plasma dynamics will be enough for scholars in these fields.

Pang Xuelin couldn't help crying and laughing: "I just made it temporarily, but didn't think so much."

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

Early the next morning, Pang Xuelin was still coming to work at Jiangda University.

Various work on the Qiantang laboratory side has been on the right track one after another. This semester, Pang Xuelin began to have time to focus part of his teaching on teaching.

Especially his students.

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

Ai Ai and Meng Yao were okay. Ai Ai was more troublesome and often contacted 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 to give a 45-minute report by the International Conference of Mathematicians.

Ai Ai has no need to worry about Pang Xuelin. This girl is now a rising star in the international mathematics community.

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

Meng Yao was thrown by Pang Xuelin under Li Changqing, and was inexplicably pulled into the superconducting 128 project.

By the time this project is published, Meng Yao will almost be able to complete his graduation thesis.

By then, the identity of Pang Xuelin's students, coupled with the superconducting 128 project experience, Meng Yao can get any associate professor or more titles wherever he goes.

However, Meng Yao didn't care about this. He and Yanxue Pang had already joined the Qiantang laboratory after graduation and became a formal researcher in the Qiantang laboratory.

At his academic level, he has the ability to be independent in the future.

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

Tomoko is now working at the Jinlong Group and is busy with his feet every day. Especially in the last month, Tomoko is based in the United States and is negotiating with the US on the Golden Dragon battery factory.

Pang Xuelin has not seen her since returning from China's Sun World.

Even in the eyes of several other students of Pang Xuelin, Tokoko has long been regarded as a student of Pang Xuelin.

As for David Halk and Sophie Hyman, the performance of these two people in the last year can only be regarded as satisfactory. Although they have successfully completed the tasks arranged by Pang Xuelin, they have not been in the academic field like Ai Ai and Meng Yao. Achievement.

However, this is not because of their ability, but they do not know how to get it in the past year, and are fascinated by differential geometry.

And try to use Ponzi geometry to solve some problems in differential geometry.

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

However, Pang Xuelin would not let them drag on like this. Today he called his disciples to talk about the next graduation.

"Ai Ai, Halk, Sophie, Meng Yao, you have been studying for two years with me. This year is the third year. I have no idea of ​​delaying your graduation, so for the next year, you You have to focus on your graduation thesis. "

In the office, Ai Ai, Halk, Sufi, and Meng Yao all stood at Pang Xuelin's desk.

"Teacher, can we choose the topic for the thesis?"

Halk curious.

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, please contact me directly. As for Hark and Su Philip ... "

Pang Xuelin paused, and took two white papers filled with words from the desk and handed them to two people: "This is your next year's problem. You can solve this problem in cooperation or independently. As long as you can After successfully completing this topic within one year, I will allow you to graduate. "

Halk took the note and looked at it.

Soon after, Sophie frowned.

One of the core problems 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 metric on it and also has a Gaussian curvature K. If the surface is compact and boundless, the Gaussian curvature K can be integrated over the entire surface. UU reading www.uukanshu.com

A surface does not necessarily have only one metric, but it can have another metric. After changing the metric, the corresponding Gaussian curvature K will change, but the integral value has nothing to do with the metric of the surface, but only the Euler characteristic number 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 generalized as the cross-sectional curvature, which is determined by the Riemann curvature tensor. The integrand is a very complex algebraic expression composed of curvature tensor, called Gauss-integral function The integral over the entire manifold should be determined by the Euler characteristic number χ (M) of this manifold.

Its intrinsic proof was obtained by Chen Xingshen, which was later called the Gauss–Chen formula, for compact and boundless even-dimensional manifolds ...

...

David Halk looked at it for a long time before raising his head to Pang Xuelin: "Professor Pang, do you want us to prove the Hopf conjecture?"

Sophie Hyman on the side couldn't help but looked up, looking at Pang Xuelin curiously.

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