Chapter 421 Fields Special Award(1/2)
"What's the situation? Did I hear it wrong? Why didn't Professor Pang Xuelin's name not be?"
"Does Professor Pang not be qualified to receive the Fields Medal for his academic achievements?"
"If Professor Pang is not qualified, then the four people who won the award are even more ineligible."
"The International Mathematics Federation must give a clear explanation. If it is not explained, I will withdraw from the International Mathematics Federation."
"Yes, we need a reasonable explanation..."
The entire hall was booing, and the sky was filled with booing.
Almost everyone questioned the result.
Seeing that the scene was about to get out of control, Pang Xuelin was thinking about whether to get up to help calm the order of the scene, Robert Longlands said again: "Next, I will also announce a winner of the Fields Special Award, that is Professor Pang Xuelin from Jiangcheng University."
The city hall, which would have been boiling, suddenly became quiet.
Everyone looked at Robert Longlands on the stage in amazement. No one expected that there would be another Fields Special Award.
Pang Xuelin looked at Robert Longlands with amusement and tears, and he felt that the old man was completely intentional.
At this time, Marcelo Viana, chairman of the conference organizing committee, seemed to have not expected that Robert Longlands would deliberately recite Pang Xuelin's name late, which would cause such a big stir.
He walked to Robert Longlands and smiled and said, "I didn't expect everyone to love Professor Pang Xuelin so much. Then I will explain the origin of the Fields Special Award first."
"When this Fields Medal was selected, the jury committee was originally planning to put Professor Pang Xuelin's name on the Fields Medal Awards list. But we found that this was not only unfair to Professor Pang Xuelin, but also unfair to several other Fields Medal winners. After all, in terms of mathematical achievements alone, Professor Pang Xuelin's achievements far exceed the level of ordinary Fields Medal. A Fields Medal alone cannot fully present the contributions made by Professor Pang Xuelin to the mathematics community. So we decided to separate Professor Pang Xuelin's award from the ordinary Fields Medal, and add a Fields Special Award to Professor Pang Xuelin."
Marcelo Viana paused and continued: "And, starting from the next International Conference of Mathematicians, the Fields Special Award will be renamed the Pang Xuelin Prize. The Pang Xuelin Prize is selected every four years, and each time is only awarded to a mathematician who has made significant original contributions to the mathematics community. The award-winning principle of this award is better than to be out of the way. If the award-winning standard is not met, there will be a vacancy..."
As the words came to an end, the entire hall boiled again. This time it was no longer booing, but instead it was thunderous applause and cheers.
No one questioned the decision of the International Mathematics Federation, but instead felt that doing so was a fair evaluation of Professor Pang Xuelin's contribution.
And everyone understands that the Pang Xuelin Award will also replace the Fields Award and become the first award in the true sense of the mathematics community.
In the audience, Faltings said to Delinie: "The Pang Xuelin Prize... In the future, it will probably be like Galois who created the group theory, Mr. Chen Shengshen, who created the differential geometry, and David Hilbert who asked Hilbert's 23 questions and Pope Grothendieck, the field of algebraic geometry, that can win the Pang Xuelin Prize."
Delini nodded and said, "I think this is good. It is not our luck to be in the same era as such a genius."
At the same time, Ai Ai, who was sitting in the back row of the venue, said to Zuo Yiqiu who was beside him: "Sister Zuo, Master is so handsome. He has such a high prestige in the mathematics community."
Zuo Yiqiu chuckled with an inexplicable light in her eyes, and she didn't know what was thinking in her mind.
Pang Xuelin had a faint smile on his face. He had no special feeling about the honor given to him by the International Mathematical Federation.
Traveling through multiple science fiction worlds, experiencing several times of nearly dying and resurrection, hundreds of years.
Pang Xuelin felt more about his feelings about the past and his expectations for the future. He could change the historical trend of an era and a world with his own strength. Pang Xuelin felt that this was his honor.
The award ceremony continues.
Marcelo Civena said: "Professor Langlands, you go ahead."
Langlands nodded with a smile, feeling quite happy about the many mathematicians who had teased the meeting just now.
Langlands said: "Okay, let's take a rough look at Pang Xuelin's resume. Professor Pang Xuelin was born in Jiangcheng in March 1997. He showed his strong mathematical talent when he was a teenager. He graduated from elementary school in 2009 and was admitted to Jiangcheng Middle School. He won the gold medal in the International Mathematics Olympiad in 2013. He entered Jiangcheng University in the same year. He graduated from undergraduate in 2015 and went to the University of California, Los Angeles. He completed his doctoral studies in 2018. During this period, he did research on analytical number theory and additive combinations. He has published "Summary Estimation of Rational Functions" and "Proof of Polarized Abel Clusters andere-Oorte Conjecture."
"In 2019, Professor Pang Xuelin returned to China to teach at Jiangcheng University. In October, he completed the proof of the BSD conjecture. In early December, at the award ceremony held by the Clay Institute, he formally proposed the Ponzi geometry theory, opened up a new mathematical branch, and used this theory to prove the ABC conjecture. In late December, he published "A Method for Solving Analytical Solutions for Systems of Nonlinear Partial Differential Equations with Wide Sense of Analytical Solutions", which greatly promoted the progress of disciplines such as physics, chemistry and geology through mathematical means."
"In 2021, Professor Pang completed the proof work of the twin prime conjecture and the Polynac conjecture through the relevant theories of Ponzi geometry. In 2022, just over a month ago, Professor Pang and Professor Perelman worked together to complete the proof work of the Hodge conjecture..."
"It can be said that every achievement of Professor Pang Xuelin is worth a Fields Medal, but Professor Pang Xuelin's greatest contribution to the mathematics community lies in the Ponzi geometry theory he proposed..."
Mr. Langlands told Pang Xuelin's resume and even roughly explained the related ideas of Pang's geometry.
Finally, he said: "The emergence of Ponzi geometry has allowed us to see the dawn of the complete unity of the two basic mathematical disciplines of algebra and geometry. I also hope that Professor Pang Xuelin can focus more on the development of mathematics. Riemann conjecture, Goldbach conjecture, p/np problem, the existence and smoothness of solutions to n-s equations, the existence of Yang-Milles gauge field and mass interval assumption, etc. There are many problems waiting for you to solve..."
Langlands finished speaking and laughter couldn't help but sound.
Everyone understands that Mr. Langlands is teasing Pang Xuelin. There are too many fields of dispersed research and cannot devote all his energy to mathematics.
Langlands also laughed and said, "Okay, the next step is the award ceremony. First, we will invite Professor Pang Xuelin to the stage."
Pang Xuelin was slightly stunned and stood up with a smile.
Then, amid the applause of everyone at the scene, he slowly walked up to the podium and came to Langlands.
The host next to him quickly handed the microphone to Pang Xuelin.
Pang Xuelin smiled and said, "Thank you for your encouragement. But please rest assured. I have never relaxed my research on mathematics. I hope that one day we can truly see the emergence of the theory of great unified algebra and geometry."
Langlands smiled and said, "The old man hopes to see such a picture before he is buried."
There was another burst of laughter at the scene.
At this time, Langlands said: "Professor Pang, come on, come on, come on, come on."
Pang Xuelin was slightly stunned and asked in confusion: "Will you present me with an award next?"
Langlands said: "Who said that you were presenting you with the awards, and that you were presenting you with the awards to the Fields Medal winners."
Pang Xuelin couldn't help but be stunned.
On the contrary, there was a burst of cheers and applause at the scene.
Obviously, everyone recognizes Pang Xuelin's award qualification.
Those Fields Medal winners also applauded.
Pang Xuelin smiled helplessly and said, "Okay, let's invite Professor Jacob Lewis, Professor Okam Rodney, Professor Mark Muller and Professor Antonio Friley to come to the stage to receive the award."
Soon, amid everyone's applause, Jacob Lewis, Okam Rodney, Mark Muller, and Antonio Frali took office one after another.
Pang Xuelin won the Fields Prize gold medals and certificates from the on-site staff and awarded them one by one to the four winners.
Four winners successively delivered their award speeches.
It was not until all this was over that Pang Xuelin received his own Fields Special Award from Mr. Langlands.
Except for the fact that the gold medal was bigger than the other people, Pang Xuelin did not feel anything special about this medal.
However, the bonus increased directly to 50,000 Canadian dollars compared to the other people's 15,000 Canadian dollars.
Afterwards, Pang Xuelin came to the podium and delivered his own speech on the award.
The entire conference room hall became quiet, and thousands of people at the scene focused their attention on Pang Xuelin.
Pang Xuelin said: "Thank you, thank you for your kindness in the Fields Medal Awards Committee. To be honest, although I thought I would win the award, I didn't expect that I would win the award in this way."
There was another burst of laughter 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 study, work, life, or studying mathematics, it is as natural as breathing. Professor Langlands once said just now that I hope to see that one day we can see that algebra and geometry can be completely unified, which is also the goal I have always pursued."
"For a long time, mathematicians have tried to build a bridge between the two ancient disciplines of algebra and geometry, and wanted to build a certain unified theory. But to this day, this has always been just a dream of our vast majority of mathematicians. But this dream is not out of reach."
"In the ancient Greek era, Aristotle once said: We cannot prove geometric problems through arithmetic. He believed that geometry could help solve arithmetic problems was nonsense. At that time, this view was not controversial, but could not escape the test of history. Euclid, the father of geometry in almost the same period as Aristotle, did not rely on numbers, but used as a graph to extend logical axioms to proof. Numbers seemed to be standing in another time and space, and geometric skills had no way to find a way."
"This situation lasted until the 17th century, until the Frenchman René Descartes combined algebraic techniques with Euclidean geometry and broke the ice between numbers and geometry. Descartes introduced the concept of coordinate systems, that is, points, lines, and planes can be perfectly described by coordinate values, allowing geometricians 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 the journey from the end point. For example, a circle can be accurately described by algebraic equations, but the graph obtained by drawing points based on the solution of the equation will never be fully pictured. Once the unit system of coordinates is changed (for example, from 1 to π), as pure mathematicians often do, the equation still holds true, and the drawing is at a loss."
"Time went on to 1940, and another Frenchman, Andre Wey, was deeply tortured by the gap between numbers and geometry. A few months before the Germans occupied France, Wey was detained in a prison outside Lyon, France for objecting to military service. It was this prison days that allowed him to gain a lot. Wey discovered sporadic clues between algebra and geometry, laying the foundation for us to find the Rosetta stone tablet that unites algebra and geometry."
"This involves the Riemann conjecture, a well-known prime number distribution problem. People have long felt that this conjecture should have a corresponding geometric explanation. In the 1930s, elliptic curves had been proofed algebraically. We can transform the distribution of prime numbers into thinking about how many points there are on the curve. Wey proved that the Riemann conjecture is also applicable to solving more complex curves. The high wall standing between these two disciplines since ancient Greece, finally cracked a gap. Wey's proof established a good foundation for the discipline of algebraic geometry and overturned Aristotle's view in one fell swoop."
"However, until now, although the Riemann conjecture has been confirmed in the first ten trillion prime numbers, there has not been a strict proof. In the post-war years, in the University of Chicago, where the environment is more comfortable, Wei Yi still tried to solve this prime puzzle, but never succeeded. Then, the baton was passed to Alexander Grothendieck, who redefined algebraic geometry in the 1960s."
"In a series of academic innovations, Grothendieck called a set of integers a spectra, abbreviated as spec(z). The points on this unpaintable geometric entity are closely related to prime numbers. Then I established the Ponzi geometry based on the spec(z) figures that Grothendieck sought. Ponzi geometry is completely different from any geometric object we are familiar with, such as a circular triangle of Euclidean geometry, or a parabolic ellipse in a Cartesian coordinate system. On these planes, a point is just a point on the surface, but the points in Ponzi geometry are more like thinking from the perspective of the entire surface. It covers all possible situations of a surface, such as drawing a triangle or ellipse on it, or even curling it up, as if wrapped in a ball."
"In addition, in his letter to Andre Wey, Robert Longlands proposed two branches of mathematics that are thousands of miles apart, number theory and reconciliation analysis, may be related. The idea seeds contained in this program have emerged from the Langlands program, which has produced a series of far-reaching mathematical conjectures. This program has the potential to unify three core disciplines in mathematics: arithmetic, geometry and mathematical analysis. Among them, mathematical analysis is a discipline with a wide range of disciplines, including calculus we learn in school. Hundreds of mathematicians around the world, including Schultz, are committed to improving this discipline."
"The complete version of the Longlands Program is not as good as the Riemann conjecture, and may be proven soon, but this treasure house of thought contains many amazing discoveries: Just like the Fermat's theorem, it was only three hundred and fifty years after it was proposed that it was proved by Professor Andrew Wiles in 1994, and this is just a special result of the Longlands Conjecture."
"In recent times, in addition to the latest core Ponzi geometry theory that has been studied in a unified manner, the remaining one is the p-input number, that is, the alternative representation of any given prime number p. To create a p-input number from any positive integer, you must represent the integer as a p-input number, and then express it in reverse. For example, to represent the integer 20 as a 2-input number, you first write the binary expression 10100 of 20, and then write it in reverse order, which is 00101. Similarly, the 3-input number of 20 is 202, and the 4-input number is 011.
"The characteristics of p-input numbers will also be slightly different. The most obvious one is the distance problem of numbers: if the difference between two numbers can be divisible by multiple powers of p, then the distance between these two numbers is close, and the higher the power, the closer the distance. For example, the 5-input numbers of 11 and 36 are very close because their difference is 52. But the 5-input numbers of 10 and 11 are far apart.
"For decades after the invention of p-in-number, people just regarded it as a mathematical toy and felt that it was useless. Until the 1920s, when German mathematician Helmut Hasai saw it in a booklet in a second-hand bookstore, he was fascinated by it. He realized that p-in-number guided how to deal with the characteristics that cannot be divided by other numbers, and became a shortcut to solving complex proofs."
"Since then, p-incoming numbers have gradually become the core part of the field of number theory. When Professor Wiles proved Fermat's Grand Theorem, almost every step involved the concept of p-incoming numbers."
...
Time passed minute by minute, and the entire conference room was quietly falling and the needles fell, and everyone listened to Pang Xuelin's explanation quietly.
It was not until the host reminded Pang Xuelin that Pang Xuelin came to his senses and said with a smile: "Okay, I'll get out of the way if I accidentally got it. Let's wait until the afternoon report meeting to talk about academic content. Here, I thank the Fields Medal for giving me such a special award, and I am very grateful to those relatives, lovers and friends who have always stood behind me and supported me. Thank you everyone, I love you."
Afterwards, Pang Xuelin slowly stepped down from the stage amid warm applause from the audience and returned to his position to sit down.
Faltings, who was standing beside him, curiously said, "Pang, can you show me your medal?"
"Of course it's OK."
Pang Xuelin smiled and handed the medal of the Fields Special Award to Faltings.
Faltings looked through for a while, handed the medal back to Pang Xuelin, and said, "Pang, in the afternoon's report meeting, are you going to talk about the related propositions of Pang's geometry?"
After Faltings asked this, Robert Longlands, Pierre Deling and others around him all turned their attention to Pang Xuelin.
This International Conference of Mathematicians will last for nine days, with a total of more than 1,200 reports to be held in general.
There are only about 20 scholars, including the Philippine Award winners. They can get one hour of report time, while less than 50 scholars can get 45 minutes of official report time.
But this conference made an exception for Pang Xuelin, and the whole afternoon would belong to Pang Xuelin.
To be continued...