Now that the most important part of the solution has passed, it's just a matter of step-by-step.

Pang Xuelin wrote on the whiteboard unhurriedly.

……

[The analytic solution of Einstein's gravitational field equation can give the analytic solution of the field equation by classifying the position of the sphere symmetry and state, and the simple relation corresponds to each integral value of the parameter n.] Due to the physical correlation of the solution, both the pressure and the density are finite positives, and both P/ρ and dp/dρ should decrease outwards along their centers to the surface of their structures. The linear elements of the mean equation are: ds^2=g00dt^2+gk1dx^kdx^1(k,l=1,2,3); g00=e^γ(r)，g11=e^α(r)，g22=-r^2; g33=-r^2sin^2θ，gk1=0(k≠1)……】

……

[For n=1, the solution is constant equal to Tolman's fourth solution, and for n=2, when at the center of the sphere, P/ρ has a maximum, and conversely, the value of P/ρ decreases with the increase of r value.] The characteristics of n=1 and n=2 solutions for dp/dρ are irregular, which is not applicable to neutron stars, and for all values of n=3 and u, the value of P/ρ decreases with the increase of r, and the maximum ratio of center to surface density is ρ0/ρs=4.5. In summary, for Einstein's gravitational field equation Ruv-1/2guvR=8πG/c^4×Tuv, its analytical solution is as follows......】

……

Solve it smoothly!

Pang Xuelin dropped the marker, turned around and said: "This is the whole process of solving Einstein's gravitational field equation by Ponzi geometry, and this method can be extended to all problems of solving nonlinear partial differential equations. Of course, the emergence of analytical solutions does not mean that all nonlinear equations have exact solutions, but there is no doubt that the accuracy of the exact solutions of nonlinear equations can be greatly improved by solving the analytical solutions of nonlinear equations. ”

Whoa, whoa, whoa—

The auditorium was quiet for a moment, and soon applause swept the audience.

Everyone stood up and paid their respects to the young figure on the stage.

From now on, physics, chemistry, biology, computing, engineering, mechanics, economics and even social sciences ...... Wherever it is necessary to build a model from nonlinear partial differential equations, the advent of Ponzi geometry will change significantly.

"After today, Professor Pang may become the first person in the mathematics community!"

Jacob Sticky Road.

"Almost, I really didn't expect that a young man under the age of 23 would actually take over the scepter inherited from Grothendieck!"

Schultz got up and applauded with some emotion, for Pang Xuelin, from the beginning of trying to compete with him, to the later admiration, and now, Pang Xuelin has become a towering mountain in his heart, which can only be looked up.

……

The other side of the auditorium.

Tan Hao applauded and stood up and said, "For our scientific community in China and even the world, today is probably a historic day. ”

Sometimes, advances in basic science can take decades, or even centuries, to show results.

But sometimes, perhaps on the day the theory is born, it will have a major impact on the entire scientific community.

There is no doubt that Ponzi geometry and the problem of solving nonlinear partial differential equations belong to the latter group.

Xu Xincheng and Liu Tingbo also got up, looking at the figure on the stage, with some emotion.

Everyone understands what Tan Hao means by this.

With Pang Xuelin's current academic achievements, even if there are no heavyweight awards, it will not affect his academic status in the slightest.

The applause lasted for five full minutes before it gradually stopped.

But everyone's eyes are still focused on Pang Xuelin.

Pang Xuelin smiled: "Thank you, next, if you have any questions about the solution process, you can raise your hand and ask questions at any time!" ”

Soon, in the hall, many people began to raise their hands.

After all, there are still a limited number of mathematicians who can understand the whole process of Pang Xuelin's solution at the first time, and there are still many mathematicians who are in ignorance.

"Okay, the gentleman sitting in the fourth row of the third row, what questions do you have?"

Soon, the staff at the meeting venue handed the microphone to the other party.

The Latino scholar, who looked to be in his thirties and wore glasses, said, "Professor Pang, I'm Gaden Leslie, an associate professor in the Department of Computer Science at Stanford University, and I'd like to ask ......."

……

The next question session was unfazed.

With specific cases for reference, combined with Pang Xuelin's paper, most of the scholars present have already explored the method of solving nonlinear partial differential equations through Ponzi geometry.

In the absence of any problems with the overall solution idea, the rest are some minor problems.

Pang Xuelin patiently answered every questioner's question.

As the minutes passed, and before I knew it, fewer and fewer people were asking questions.

"Okay, do you have any questions? If that's all right, that's it for this Ponzi presentation. In addition, I would like to inform you that starting next month, Jiang University will hold a seminar on Ponzi geometry. The seminar will be held in the form of a seminar, and participants will regularly report their research results and experience of the current cutting-edge research papers in the international mathematical community, and ask each other questions and answers. The start of the class is tentatively scheduled for January next year and lasts for one year, with the possibility of joining and exiting at any time in between. Later, Jiang University will post a link to register for the seminar on its official website, and we will select 20 to 30 people from all applicants to participate in the seminar. ”

Pang Xuelin's voice fell, and the audience was in an uproar.

Everyone understood what this workshop meant.

With the development of Ponzi geometry, this new discipline will become a hot topic of research in mathematics in the coming decades.

Mochizuki Shinyi stared at Pang Xuelin on the stage without blinking, and said: "Grigory, great, I originally wanted to apply to Jiang University to come over as a visiting scholar, but with this seminar, there is no need to be so troublesome, I must participate in this seminar." ”

Perelman was slightly stunned, and said in surprise: "Are you serious?" ”

Mochizuki nodded and said: "Yes, the prime time of my academic career has been spent on far Abel geometry, and now Professor Pang Xuelin has built a more magnificent Ponzi geometry theory on this basis, for me, this is a new field, I believe that by following Professor Pang, I can learn more things!" ”

Perelman frowned and didn't answer.

The potential of Ponzi geometry in solving nonlinear partial differential equations made him realize that Ponzi geometry must be relied upon to prove the existence and smoothness of N-S equations.

But he is a person who is used to living in isolation, and he can't make up his mind to let him enter a research institute to study and research.

But there is no doubt that Mochizuki Shinichi's words have already made waves in his heart.

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