The Science Fiction World of Xueba

The next morning, Pang Xuelin got up very early, went to the stadium with Qi Xin to run a few laps, after breakfast, went back to the apartment to take a shower, changed into a more formal attire, and went straight to Jiang Da Auditorium.

This report will last for three days.

On the first day, Pang Xuelin will mainly explain the relevant content of Ponzi geometry.

On the second day, explain the whole process of the proof of the ABC conjecture.

On the third day, it will be the turn to explain the analytical solutions of nonlinear partial differential equations.

These three days basically condensed the essence of Pang Xuelin's decades in the plane world.

When they came to the entrance of the auditorium, Xu Xincheng, Liu Tingbo and others had already been waiting at the entrance for a long time.

"Professor Pang, you have worked hard these few days!"

Xu Xincheng and Liu Tingbo are all scholars, so they naturally understand how tiring the next three days' reports will be.

The next morning, Pang Xuelin got up very early, went to the stadium with Qi Xin to run a few laps, after breakfast, went back to the apartment to take a shower, changed into a more formal attire, and went straight to Jiang Da Auditorium.

This report will last for three days.

On the first day, Pang Xuelin will mainly explain the relevant content of Ponzi geometry.

On the second day, explain the whole process of the proof of the ABC conjecture.

On the third day, it will be the turn to explain the analytical solutions of nonlinear partial differential equations.

These three days basically condensed the essence of Pang Xuelin's decades in the plane world.

When they came to the entrance of the auditorium, Xu Xincheng, Liu Tingbo and others had already been waiting at the entrance for a long time.

"Professor Pang, you have worked hard for the next few days, so you should be sure!"

Xu Xincheng and Liu Tingbo are all scholars, so they naturally understand how tiring the next three days' reports will be.

Especially in the questioning session in the second half of the report, tricky questions from various angles, and sometimes a slight problem in thinking is enough to make a scholar unable to come to the stage.

Pang Xuelin smiled,

Said: "Principal Xu, don't worry, there is no problem. The time is almost up, let's go in!"

"Okay, let's go!"

Enter the auditorium.

The auditorium has long been packed with mathematicians from all over the world.

Seeing Pang Xuelin's figure appear in the auditorium, all eyes immediately focused on him.

In these gazes, there is hotness, anticipation, and hope...

Ponzi geometry has faintly opened the door to a new field of mathematics, and these scholars want to know what kind of scenery lies behind this door.

In this report meeting, Pang Xuelin will give a clear answer.

Pang Xuelin didn't change his face, he was already familiar with this kind of scene.

Along the way, compared with the last report meeting in Paris, many new faces appeared in this report meeting.

The most eye-catching ones are Shinichi Mochizuki and Perelman sitting in the front row.

Pang Xuelin glanced over the two of them, then walked onto the podium unhurriedly, and said: "Dear guests, good morning everyone, welcome to my report on Ponzi geometry, this report will be It will be divided into three days, and I will discuss with you the relevant theoretical framework of Ponzi geometry, the proof of the ABC conjecture, and the analytical solution of nonlinear equations. Next, we will start the first session of this report. The first link, the elaboration of the theoretical framework of Ponzi geometry."

Pang Xuelin turned on the screen, and immediately, relevant content of Ponzi's geometry paper appeared on the projection screen.

Pang Xuelin paused, and continued: "Ponzi geometry, let me call it that, in my opinion, this is a brand-new subject based on the theoretical framework of Far Abelian geometry, which combines algebraic geometry, differential geometry , arithmetic geometry, number theory, partial differential equations and other sub-disciplines are organically combined, and show us the inner connection of these disciplines. If we use simple mathematical language, it is to consider how much the etale fundamental group in algebraic geometry can give To what extent can the information of the algebraic variety itself determine the isomorphism class of the algebraic variety..."

"Next, we will discuss the following aspects of Ponzi geometry."

...

"The first part is the absolute Galois group of rational numbers, and even the flattened fundamental group of any algebraic variety. How will the part that does not conform to the commutative law ab=ba affect the properties of the corresponding algebraic structure..."

"The absolute Galois group Gal(Q??/Q) can act on all smooth algebraic curves, that is, a polynomial whose coefficient is an algebraic number, and the absolute Galois group Gal(Q??/Q) is the symmetry group of the algebraic number, Of course, it can indirectly act on the two maps through the symmetrical transformation of the coefficients..."

"The simplest non-trivial transformation in the absolute Galois group Gal(Q??/Q) is the complex conjugation, that is, the transformation of changing the imaginary unit i to ??i. On the complex plane, the complex conjugation is along the real number The mirror symmetry of the axis, so it acts on the smooth algebraic curve, and what is obtained is also the mirror symmetry of the smooth algebraic curve..."

...

"In the second part, we start with the most basic structure, p-adic integers. p-adic integers, that is, for prime numbers p, the projection limit of (Z/P^nZ)n≥1."

"Let's give an example, take p=7

......000000000000000000042

......30211045064302335342

......12450124501245012450

Then the above numbers are all p-adic integers, and each p-adic integer can be regarded as a series of numbers extending to the left high position to infinity. But they are not infinite, each of them is different, and this way of writing makes sense. "

...

"On p-adic integers, addition and multiplication can be defined. Their calculation methods are the same as the four arithmetic operations we are familiar with every day, starting from the low bit, and then slowly carrying calculations, just like endless addition and multiplication. Subtraction and Division is also defined in this way. Every integer corresponds to a p-adic integer, as long as infinite 0s are added in front of the p-adic expression of the integer, and their operation results are no different from the operations we are familiar with."

"However, when a number is a fraction, it can still be a p-adic integer. For example, 1/5=0.2 is obviously not an integer. But it is a 7-adic integer: 1/5 =... 5412541254125412. Obviously, as long as a p-adic integer x is not 0, then its reciprocal is also a p-adic integer. It is very important that you can find the reciprocal, which means that p-adic integers, or its generalized p-adic numbers, have The complete addition and multiplication structure..."

...

Pang Xuelin's voice was unhurried, echoing in the auditorium.

The entire auditorium seems to have become a university classroom.

Pang Xuelin is the professor giving lectures on stage.

Those mathematicians who attended the meeting became loyal students.

Many are either taking notes or typing furiously on laptops.

Some people also exchanged their views and opinions on Ponzi geometry with very low voices.

Liu Tingbo used a pen to write and draw in his notebook from time to time, while Xu Xincheng, the president of Jiang University sitting next to him, looked bewildered.

After all, he is only a pharmacist. This kind of theory, which is difficult to understand even for professional mathematicians, is tantamount to a heavenly book for him.

"Old Liu, there is nothing wrong with Professor Pang's theory, right?"

Although as early as when Ponzi geometry first came out, the School of Mathematical Sciences of Jiangda University specially convened people to study Pang Xuelin's theory and gave a positive answer.

But Xu Xincheng was still a little worried.

Liu Tingbo on the side said with a smile: "Principal Xu, don't worry, Professor Pang spoke very well, didn't you see the performance of the people around you?"

Xu Xincheng looked around. Most of the mathematicians present, like Liu Tingbo, were taking notes, and they seemed to be facing this report with a learning attitude.

There were also people talking to each other, discussing Ponzi geometry in low voices.

But there are almost no expressions of disdain or disapproval on their faces.

Xu Xincheng couldn't help but heaved a sigh of relief.

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