I Just Want to Be a Quiet Top Student

Zhou Yuan stated their preliminary research results in partial differential equations and algebraic geometry: "We let M be an n-dimensional complete Riemannian manifold, combined with the Riemann curvature tensor and Ricci curvature tensor, we constructed this set of formulas... ..."

This set of formulas is shown on the PPT: Γ=1/2g^kl{gil/xj+gil/xi-gij/xjl}...^2gij/t^2=-Rgij

"From the perspective of partial differential equations, this is a highly nonlinear hyperbolic equation. Finding its exact solution is enough. Maybe you can write a high-quality paper in the four major journals."

"Yes, we have found some precise solutions to it, and I would like to thank Xiao Wang for his efforts." Zhou Yuan looked at his little brother Xiao Wang with affirmation and encouragement in his eyes.

Xiao Wang has worked in the mathematics department of the center for one year. He is considered a newcomer. He is only 25 years old this year and has already obtained a doctorate in mathematics. He is a fighter among newcomers.

This shows the great strength of the Central Mathematics Department. Xiao Wang, a newcomer, has made research results at the level of papers in the four major mathematics journals. These exact solutions are all obtained by him.

Xiao Wang said modestly, thanking the big platform of the center, and thanking Director Shen and Director Zhou for their careful guidance. What I did was only the most basic operation, solving equations. The builders of this set of equations are Director Zhou and Professor Xu.

The young man is very likable. Xiao Wang's data is good-looking, his words are nice, and he is not too cold. Xiao Wang took the initiative to undertake miscellaneous tasks such as copying and printing, arranging meeting rooms, and preparing tea.

Shen Qi, Xu Yang, Ou Ye and other academic leaders praised Xiao Wang one after another. Young people who are capable and willing to do dirty work often attract the special attention of the leaders.

Zhou Yu'an continued his report: "But what we are doing is a mathematical unification project, not a simple partial differential equation. Therefore, after finding the exact solution, we try to construct a new model through algebraic geometry."

"To use an analogy, the mathematical unity is like a car. Its parts are various branches of mathematics, algebraic geometry is the body side, partial differential equations are the roof, number theory is the wheels, topology is the seat, etc. wait."

"Parts are manufactured to a variety of standards, and mathematicians in each branch work on different things."

"And a complete car, we want it to have only one standard."

"In my opinion and Professor Xu, if we complete the 'welding' of partial differential equations + algebraic geometry, then the 'body' structure of the unified mathematics will be locked."

"Next, I would like to invite Professor Xu to publish the research results of 'A New Model of Algebraic Geometry Based on the Exact Solution of Hyperbolic Geometry'." Zhou Yu'an handed the presenter to Xu Yang after finishing his speech.

Xu Yang said: "The analogy Yu'an made is appropriate but has some loopholes. Generally speaking, it is OK. The unification of mathematics is not simply welding and assembling various parts to form a complete vehicle. .All kinds of parts are forcibly assembled together, and some are not compatible, which may cause the car to fail to start. The process of assembling the car will inevitably involve new technical essentials, so that the car can start smoothly. Of course, we must first do The most important thing is to assemble this 'car'."

"Well." Shen Qi nodded and said, "The combination of Yu'an and Professor Xu's ideas is basically the essence of the unified mathematics. What is the unified mathematics? Two key words, Wanzongguiyi and Can Execution. We are not porters or assemblers, but our roles are strategic coordinators and tactical designers. Professor Xu, please continue.”

Xu Yang showed an extremely complicated mathematical model, how complicated is it? Among the mathematics workers present, more than half of them could not understand.

This is normal, and the vast majority of mathematicians have determined their main direction of attack during their Ph.D.

Some people specialize in algebraic geometry, some focus on number theory, and some show extraordinary talent in the field of partial differential equations.

There are also scholars who major in one direction and minor in another. There are not many such scholars.

There are relatively few mathematicians who are proficient in more than three branches.

Xu Yang does algebraic geometry, and he is quite proficient in differential geometry and partial differential equations. He is already an outstanding mathematician.

But Xu Yang is not as good as Zhou Yuan in the field of differential geometry and partial differential equations, and Zhou Yuan is not as good as Xu Yang in algebraic geometry.

Ouye can beat Xu Yang and Zhou Yu'an in the field of number theory, and she is also beaten by Xu Yang and Zhou Yu'an in the fields of algebraic geometry, differential geometry, and partial differential equations.

At this moment, Xu Yang took out the most profound thing in the field of algebraic geometry.

Ouye was hanged and beaten, she couldn't understand, so she could only keep silent.

"Let me explain this model." Xu Yang took a sip of tea and said, "The colleagues in the center are amazing. They constructed a system of equations for hyperbolic geometric flow and found an exact solution. Based on the research results, my students and I built this curved body model."

Shen Qi couldn't help but said: "Professor Xu, have you redefined Senshin? It's a wonderful idea, and I also saw some new things. Old Xu is indeed a master. This method is amazing, and the artist is bold." .”

A master is a master, and Shen Qi saw the essential things at a glance. Xu Yang nodded to Shen Qi and said: "Old Shen, since you have seen the essence, I will not repeat myself. I will skip the process of building the body model and just talk about the conclusion and difficulties. Do you have any opinions?"

"No comment no comment."

Mathematics is like this. If you don’t understand something, you just don’t understand it. Even if a master explains it to you for a week, you may not be able to understand it.

Instead of pretending to understand, it is better to listen to the conclusions of the masters directly.

The conclusions given by experts are often highly generalized. For a non-algebraic geometry expert like Euler, she only needs to know the conclusions of the algebraic geometry section in this project.

Xu Yang went on to say: "The Mori contraction is a set of theories invented by Mori Shigefumi. Mori Shigefumi began to study the Langlands program very early, and he won the Fields Medal in 1990. Mori Shigefumi's ambition is also to complete the mathematics university. Unified, many of the points he put forward are still very instructive.”

"Our model refers to the most core thing in Sen contraction, and then creates some content by ourselves. Our preliminary conclusion is that the curved minimal model in the generalized sense is not smooth even if it exists, but a singular cluster with canonical singularities. .”

"Speaking of which, do you think of anything? Yes, that's right. After doing it, we found that the new model we built was somehow related to Hodge's conjecture! May I ask what Hodge's conjecture is? Who proved it?" Xu Yang suddenly became high when he said this.

Everyone was also very excited: "Shen Qi!"