The Science Fiction World of Xueba

"What is it? Am I wrong? How come there is no Professor Pang Xuelin's name?"

"Isn't Professor Pang's academic achievements eligible for the Fields Prize?"

"If Professor Pang is ineligible, the four winners are even more ineligible."

"The International Mathematical Federation must give a clear explanation, if I do not give an explanation, I will withdraw from the International Mathematical Federation."

"Yes, we need a reasonable explanation ..."

The entire town hall booed, and it turned into a storm.

Almost everyone questioned the result.

Seeing that the scene was about to get out of control, Pang Xuelin was wondering if he wanted to get up and help calm the order at the scene, and then heard Robert Langlands say again: "Below, I will also announce a Fields Special Award winner That is Professor Pang Xuelin from Jiangcheng University. "

The Town Hall, which would have boiled, was quiet in an instant.

Everyone was stunned watching Robert Longlands on the stage. No one expected that there would be a special Fields prize.

Pang Xuelin looked at Robert Langlands with a smirk. He felt that the old man was intentional.

At this time, Marcelo Viana, chairman of the organizing committee of the conference, did not seem to expect that Robert Langlands deliberately missed Pang Xuelin's name late, which would cause such a big wave.

He walked to Robert Langlands and smiled, "I didn't expect everyone to be so fond of Professor Pang Xuelin, so I will explain the origin of this Fields Special Award first."

"When the Fields Prize was selected, the judging committee had originally planned to add Professor Pang Xuelin's name to the Fields Prize winning list. However, we found that this was not only unfair to Professor Pang Xuelin, but also to several others. The Fields Award winners are equally unfair. After all, in terms of mathematical achievements, Professor Pang Xuelin's achievements far exceed the level of ordinary Fields Awards. A Fields Award alone cannot fully present Professor Pang Xuelin. Contribution to the mathematics community. So we decided to separate Professor Pang Xuelin's award from the ordinary Fields Prize and add a special Fields Prize to Professor Pang Xuelin. "

Marcelo Vianat paused and continued: "And, starting with the next International Congress of Mathematicians, the Fields Special Award will be renamed the Pang Xuelin Award. The Pang Xuelin Award will be selected every four years, at most each time Awarded to a mathematician who has made a major original contribution in the field of mathematics. The principle of awarding this prize is rather absent. If it does not meet the evaluation criteria, there will be a vacancy ... "

The words fell, and the entire town hall was boiling again. This time it was no longer a boo, instead it was replaced by thunderous applause and cheers.

No one questioned the decision of the International Mathematical Federation, but felt that doing so was a fair evaluation of Professor Pang Xuelin's contribution.

And everyone knows that the Pang Xuelin Award will also replace the Fields Award and become the first award in the real sense of mathematics.

Under the stage, Faltins said to Deligne, "The Pang Xuelin Award ... I will be like Galois who created group theory, Mr. Chen Shengshen who created differential geometry, and asked Hilbert 23 questions. David Hilbert and Pope Grothendieck in the field of algebraic geometry will be able to win the Pang Xuelin Award. "

Deligne nodded and said, "I think it's good that being in the same era as such a genius is probably our luck."

At the same time, Ai Ai, who was sitting in the back row of the conference room, stared at Zuo Yiqiu with his eyes glowing. "Sister Zuo, Master is so handsome. His prestige in mathematics is so high."

Zuo Yiqiu pouted and smiled, his eyes flashed inexplicably, and he didn't know what was in his mind.

With a faint smile on Pang Xuelin's face, he didn't have any special feelings about the honor awarded to him by the International Mathematical Federation.

Traveled through multiple sci-fi worlds, survived several times and survived for hundreds of years.

Pang Xuelin's heart is more about his past feelings and expectations for the future. He can change the historical trend of an era and a world by himself. Pang Xuelin feels that this is his honor.

The awards ceremony continues.

Marcelo Sivina said, "Professor Langlands, go ahead."

Langlands smiled and nodded, feeling quite happy for the many mathematicians who had teased the meeting just now.

Langlands said, "Well, let's take a brief look at Pang Xuelin's resume. Professor Pang Xuelin was born in Jiangcheng in March 1997. He showed superb mathematical talent when he was a teenager. He graduated from elementary school in 2009 and was admitted to Jiangcheng Middle School. In 2013, he won the gold medal in the International Mathematical Olympiad. In the same year, he entered Jiangcheng University. He graduated in 2015 and went to the University of California, Los Angeles. He completed his Ph.D. in 2018 and did research on analytical combination of number theory and additive. Sum Product Estimation and Proof of Andere-Oorte Conjecture of Polarized Abelian Cluster. "

"In 2019, Professor Pang Xuelin returned to China to enter Jiangcheng University to teach. In October, he completed the proof of the BSD conjecture. In early December, at the award ceremony held by the Clay Institute, he officially proposed the theory of Ponzi geometry and opened up a new branch of mathematics. And use this theory to prove the ABC conjecture. In late December, published "A method with a wide range of analytical solutions to nonlinear partial differential equations", which greatly promoted the progress of physical, chemical and biological disciplines through mathematical means. "

"In 2021, Professor Pang completed the proof of the twin prime conjecture and Polignac's conjecture through the relevant theory of Ponzi geometry. In 2022, just over a month ago, Professor Pang and Professor Perelman collaborated to complete Prove that Hodge's conjecture ... "

"It can be said that each achievement of Professor Pang Xuelin is worth a Fields Prize, but Professor Pang Xuelin's greatest contribution to the mathematical world lies in his theory of Ponzi geometry ..."

Father Langlands confided Pang Xuelin's resume, and even roughly expounded the relevant ideas of Ponzi geometry.

At the end, he said: "The emergence of Ponzi geometry has shown us the dawn of a complete unification of the two basic mathematical disciplines of algebra and geometry. I also hope that Professor Pang Xuelin will focus more on the development of mathematics. Riemann's conjecture, Goldbach's conjecture, P / NP problem, existence and smoothness of NS equation solutions, Young-Mills gauge field existence and mass interval assumptions, etc. There are many problems waiting for you to solve ... ... "

Longlands's voice fell, and the scene could not help but burst into laughter.

Everyone understands that Father Langlands is laughing at Pang Xuelin. There are too many areas of scattered research, and he has not been able to focus all his energy on mathematics.

Langlands also laughed and said, "Okay, the next step is the awards. First of all, we invited Professor Pang Xuelin to the stage."

Pang Xuelin froze slightly and stood up with a smile.

Later, with the applause of everyone on the scene, he slowly walked up to the podium and came to Langlands.

The host on the side quickly passed the microphone to Pang Xuelin.

Pang Xuelin said with a smile: "Thank you for your encouragement. But please rest assured that I have not relaxed my study of mathematics. I hope that one day we can really see the emergence of the unified theory of algebra and geometry."

Langlands smiled: "The old man would like to see such a picture before entering the soil."

There was a laugh again at the scene.

At this moment, Langlands said, "Professor Pang, come and come, stand by my side."

Pang Xuelin froze slightly, wondering: "Don't you give me an award next?"

Langlands said, "Who said that the award was given to you, and it was you who came up, that was for you to give the Fields Award winners a prize."

Pang Xuelin couldn't help it.

On the contrary, there was cheering and applause at the scene.

Obviously, everyone agrees with Pang Xuelin's qualifications.

Those Fields Prize winners also applauded.

Pang Xuelin smiled helplessly: "Well then, we have invited Professor Jacob Lewis, Professor Occam Rodney, Professor Mark Muller, Professor Antonio Fryley to come on stage to receive the award."

Soon, in the applause of everyone, Jacob Lewis, Occam Rodney, Mark Muller, and Antonio Ferrari took office.

Pang Xuelin obtained Fields prizes and certificates from the field staff and awarded them to the four winners.

The four winners gave their speeches.

After all this was over, Pang Xuelin won his own Fields Special Award from Father Langlands.

Except that the gold medal is one lap larger than several others, Pang Xuelin didn't feel anything special about the medal.

The bonus was directly increased to $ 50,000 compared to the other $ 15,000.

Later, Pang Xuelin came to the podium to express his own award-winning speech.

The entire conference room hall was quiet, and thousands of people at the scene focused their attention on Pang Xuelin.

Pang Xuelin said: "Thank you, and thank you for the Fields Awards Judging Committee. To be honest, although I thought I would win the prize, I did not expect to win it in this way."

There was a laugh again at the scene.

Pang Xuelin continued: "Today is a special day for me. Since I was four years old, mathematics has become a part of my life. Whether it is studying, working and living, studying mathematics is as natural as breathing. "Professor Langlands has just said that I hope to see a complete unification of algebra and geometry one day, which is what I have been pursuing."

"For a long time, mathematicians have tried to build a bridge between the two ancient disciplines of algebra and geometry, and want to build some kind of grand unified theory. But to this day, this is only just a dream of our majority of mathematicians. Dreams are not out of reach. "

"Aristotle once said in the ancient Greek era that we cannot prove the problem of geometry through arithmetic. He believed that geometry could help solve arithmetic problems. It was nonsense. At that time, this view was not controversial, but it could not escape history. The test of wind and frost. Euclid, the father of geometry almost at the same time as Aristotle, did not rely on numbers, but used a method of graphs to extend the logic axiom into the proof. Numbers seem to stand in another space-time, geometry There is no way out of tricks. "

"This situation lasted until the 17th century, until the Frenchman René Descartes combined algebraic techniques with Euclidean geometry to break the ice between numbers and geometry. Descartes introduced the concept of coordinate systems, that is, points and lines Surfaces can be perfectly described with coordinate values, allowing geographers to solve geometric problems using algebraic methods. "

"It's like when we landed on the moon, we were finally able to launch the rocket at an accurate angle and position. But for pure mathematicians, there is still half a journey from the end point. For example, a circle can be precise using algebraic equation The description, but the graph obtained by plotting according to the descriptive points of the equation must never be full. Once the coordinate unit system is changed (for example, from 1 to π), the equation still holds, as the pure mathematicians often do, and the drawing allows People are at a loss. "

"Time lapsed to 1940, another Frenchman, Andre Wey, was tortured by the divide between numbers and geometry. Months before the German occupation of France, Wey was detained outside Lyon, France for refusing military service. In a prison. It was the days in this prison that gave him a lot of gains. Wey discovered the sporadic clues between algebra and geometry, which laid the foundation for us to find the Rosetta stone that is unified with algebra and geometry. basis."

"This involves the Riemann conjecture, a problem that everyone knows about the distribution of primes. People have long thought that this conjecture should have a corresponding geometric interpretation. In the 1930s, elliptic curves have been algebraically proven. We can put the prime numbers The distribution is converted into thinking how many points are on the curve. Wey proved that the Riemann conjecture is also applicable to solving more complex curves. The high wall that has stood between the two disciplines since ancient Greek times finally cracked. Gap, Wey's proof established a good foundation for the algebraic geometry discipline, overthrowing Aristotle's point in one fell swoop. "

"However, until now, Riemann's conjecture has been confirmed on the top ten trillion prime numbers, but there has not yet been a rigorous proof. In the post-war era, at the University of Chicago, which was more comfortable, Wey still tried to solve the problem. This prime number puzzle has never been successful. The baton was then passed on to Alexander Grothendieck, who redefined algebraic geometry in the 1960s. "

"In a series of academic innovations, Grothendieck referred to a set of integers as a spectrum and abbreviated as Spec (Z). The points on this non-drawable geometric entity are closely related to prime numbers. Euclidean geometry is based on the Spec (Z) figure sought by Grothendieck. Ponzi geometry is completely different from any geometric object that we are familiar with, such as the circular triangle of Euclidean geometry, or the parabola in the Cartesian coordinate system. Ellipse. On these planes, a point is just a point on the surface, but a point in Ponzi geometry is more like thinking from the perspective of the entire surface. It covers all possible cases of a surface, such as drawing a Triangles or ellipses, or even curl them up as if wrapped in a ball. "

"Besides that, in his letter to Andre Wey, Robert Longlands proposed two mathematically thousands of branches, number theory and harmonic analysis may be related. This program contains The seed of thought has sprung up the Langlands program, which has produced a series of far-reaching mathematical conjectures. This program may unify the three core disciplines of mathematics: arithmetic, geometry, and mathematical analysis. Mathematical analysis is a scope. And its wide range of disciplines, including the calculus we learn at school. Hundreds of thousands of scientists worldwide, including Schultz, are committed to improving this discipline. "

"The full version of the Langlands Program is not as Riemann's conjecture might prove, but there are many amazing discoveries in this treasure trove of thoughts: like Fermat's Theorem, three hundred Fifty years was only proved by Professor Andrew Wiles in 1994, and this is only a special result of Langlands' conjecture. Most "

"And recently, in addition to the latest core Ponzi geometry theory, the only unified study of geometry and algebra is the p-advanced number, which is an alternative representation of any given prime p. Create a p from any positive integer If you want to add a number, you must represent the integer as a p-number, and then reverse the expression. For example, if you want to represent the integer 20 as a binary number, you first write the binary expression of 20 as 10100, and then reverse the order. Write, it is 00101. Similarly, the number of 20's 3 is 202 and the number of 4 is 011.

"The characteristics of p-numbers will be slightly different, the most obvious of which is the distance between the numbers: if the difference between two numbers can be divided by multiple powers of p, then the distance between the two numbers is close, the higher the power , The closer the distance. For example, the 5s of 11 and 36 are very close because their difference is 52. But the 5s of 10 and 11 are far apart.

"In the decades since the invention of p.com, people just regarded it as a mathematical toy and found it to be of little practical use. Until the 1920s, German mathematician Helmut Hasselblad in a second-hand bookstore After seeing it in this booklet, he was fascinated by it. He realized that the p-advanced number guided how to deal with the characteristic that prime numbers are not divisible by other numbers, and became a shortcut to solve complex proofs. "

"Since then, p-advanced numbers have gradually become a core part of the field of number theory. When Professor Wiles proved Fermat's Last Theorem, almost every step involved the concept of p-advanced numbers."

...

Time passed minute by minute. The entire conference room lobby was quietly heard, and everyone quietly listened to Pang Xuelin's explanation.

Until the host reminded Pang Xuelin of the time, Pang Xuelin came back and said with a smile, "Okay, I accidentally pulled away. We will wait for the academic report in the afternoon." Here again, I thank the Fields Award Jury for giving me such a special award, and I also thank my loved ones, loved ones, and friends who have stood behind me to support me. Thank you, I love you. "

Subsequently, Pang Xuelin stepped down slowly in the warm applause of the audience, returned to his position and sat down.

Faltings aside curiously, "Pang, can you show me your medal?"

"Of course, no problem."

Pang Xuelin smiled and handed the Fields Special Medal to Faltings.

Faltings turned around for a while and returned the medal to Pang Xuelin, saying, "Pang, are you going to talk about Ponzi geometry related propositions in the afternoon lecture?"

When Faltins asked, the surrounding Robert Langlands, Pierre Deligne, and others all cast their eyes on Pang Xuelin.

This International Conference of Mathematicians will last for nine days, and a total of more than 1,200 lectures will be held under normal circumstances.

Including the Philippine Award winners, there are only about 20 scholars. One hour of lecture time was available, and less than 50 scholars were able to obtain 45 minutes of formal lecture time.

But this time the conference made a special exception for Pang Xuelin. All afternoon, it will belong to Pang Xuelin.

Everyone was curious what Pang Xuelin was going to say at the report.

Pang Xuelin shook his head with a smile and said, "I originally planned to give a lecture on Ponzi geometry-related content at this report, but Professor Langlands just mentioned the unification of algebra and geometry. New ideas ... "

"new idea?"

Faltings' eyes flashed.

Not only Faltings, Deligne looked curiously at Pang Xuelin: "Pang, what's new?"

Pang Xuelin shook his head with a smile and said, "It's not easy to say now, it's just a very preliminary idea. You will know it until the afternoon."

At this time, the chairman of the conference organizing committee, Marcelo Sivina, came to power and announced that the morning conference was officially over.

Afterwards, everyone left the venue and went to the restaurant for dinner.

The organizing committee prepared an exquisite buffet lunch for mathematicians from all countries participating in the conference. Pang Xuelin and several winners, as well as big men such as Faltins, Deligne, Langlands, Qiu Chengtong, were invited by the organizing committee. Head to a small restaurant for lunch.

After eating, Pang Xuelin returned to the hotel room, ready to rest.

He had just sat down at the hotel desk and the knock on the door suddenly sounded.

Pang Xuelin woke up a little ~ www.readwn.com ~ stood up and opened the door, and saw Ai Ai and Zuo Yiqiu standing in front of the door.

"Why are you here?"

Pang Xuelin curious.

Ai Ai laughed: "Master, can I touch your Fields Special Medal, aren't you? Luck. I don't want to get this medal, one day I can get an ordinary Fields. I will be satisfied with the medal. "

Pang Xuelin pointed to the medal on the side of the bookcase and said, "You touch it."

Ai Ai picked up the medal with a smile and looked around. She also took out her mobile phone and took a few photos.

Suddenly, she glanced across the top of the bookcase, and suddenly she stared at the two Russian matryoshka curiously, "Master, where did you get this matryoshka?"

Pang Xuelin froze slightly, looked at Ai Ai's fingers, and the set of Ai Ai's fingers was the one that Zuo Yiqiu gave him.

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