MTL - The Science Fiction World of Xueba-Chapter 420 International Congress of Mathematicians

"Master, Professor Faltins looks very kind, not at all as timid as outside rumors. When you see Professor Xinyi chatting with him, he laughs more happily."

"Professor Deligne is really amazing. He also praised my paper and asked me if I would like to go to Princeton for postdoctoral research ... Hee hee, I didn't want to go, now our Pang Xuelin Mathematical Research Center , It's not inferior to Princeton Advanced Institute. "

"Master, I didn't expect Peter Schultz to be handsome, but I don't think he is as handsome as you ..."

...

On the way back to the room, Ai Ai followed Peng Xuelin and kept talking about a lark.

Pang Xuelin was helpless, and he all regretted bringing Ai Ai over.

This girl is too noisy.

However, perhaps because Ai Ai is her own student, or because it is difficult for the mathematics community to find such a beautiful scholar, everyone has a good attitude towards Ai Ai.

Always came to the door of his room, Pang Xuelin stopped and did not expect that Ai Ai also stopped.

Pang Xuelin looked at Ai Ai, Ai Ai stomped her feet, her hands behind her, and jumped like a big penguin.

Pang Xuelin finally saw the clue, and said, "Just tell me anything."

"Ah ... Master, what can I do ..."

Ai Ai blushed.

Pang Xuelin rolled her eyes and said, "If it's okay, I'll go back to my room to sleep."

Pang Xuelin pretended to enter the room.

"Master!" Ai Ai's fair complexion flushed, and it took a while before handing things in front of Pang Xuelin, "Master, this is for you."

"Give it to me?"

Pang Xuelin froze slightly.

Appearing in front of Pang Xuelin is a delicate Russian matryoshka.

The male image looks cute.

Pang Xuelin looked at Ai Ai with a smile: "This was bought when I went out shopping today?"

"Yes."

Pang Xuelin took it with a smile and said, "Thank you. It seems that you haven't forgotten my master when you went out to play, so I will accept it."

That said, Pang Xuelin took the Russian matryoshka from Ai Ai, and saw that Ai Ai had no sign of leaving, and wondered, "Is there anything else?"

Ai Ai opened his mouth, and then hesitated. He hesitated and said, "It's okay, Master. Then I'll go to rest first, and you'll go to bed earlier."

"OK, good night."

"good night."

Ai Ai hadn't walked two steps, and suddenly turned around and said, "Master, after returning to your country, will I be able to meet the two masters? I heard that they are particularly beautiful."

"Madam?"

Pang Xuelin couldn't help it.

Ai Yi fluttered a smile, and did not wait for Pang Xuelin to respond, turned around and walked away.

Pang Xuelin came back to himself and murmured to himself: "I'm going. How did Ai Ai know, is it Zuo Yiqiu?"

But think about it, Pang Xuelin thinks it's unlikely.

Zuo Yiqiu's political literacy is put there, and it is impossible to reveal his privacy to the outside world.

Pang Xuelin shook his head, no longer thinking about it, knowing it, you can't hide it.

The next morning, Pang Xuelin met Zuo Yiqiu when he went to have a buffet breakfast.

They sat at a table for breakfast.

Perhaps because of attending the International Conference of Mathematicians, Zuo Yiqiu wore pair of black-rimmed glasses on her face, accompanied by her suit and skirt, and she had a more intellectual taste.

Perhaps he noticed that Pang Xuelin's eyes looked strange when he looked at himself, Zuo Yiqiu was a little strange and said, "Professor Pang, what's on my face?"

"It's nothing."

Pang Xuelin shook his head.

"Oh."

The two were chatting while eating.

When he was about to finish eating, Zuo Yiqiu hesitated. From the small bag he carried, he also took out a Russian matryoshka and said, "Professor Pang, yesterday, Ai Ai and I went out to buy gifts for the family. I bought a doll and I'll give it to you. "

As a result, she flustered the matryoshka in front of Pang Xuelin and left the restaurant on a high heel.

As a result, when I stepped down the entrance of the restaurant, I stopped my feet and almost fell.

Pang Xuelin sat in place, looking at Zuo Yiqiu's flustered back, and shook his head helplessly.

The conference of mathematicians will not be held until tomorrow. It is fine today, but Pang Xuelin can't relax.

Today, his position in the mathematical world has surpassed Grothendieck.

Almost every mathematician who arrives at the hotel will come to visit Pang Xuelin on his own initiative. Some hope to discuss some mathematical problems with Pang Xuelin, and some simply want to know Pang Xuelin and have more connections.

However, Mochizuki Shinichi and Perelman were somewhat indifferent, and these two guys went out early in the morning.

Apparently knowing that I'm staying at the hotel today, I'm afraid I can't stop it all day.

After finally coping with these trivia.

We finally waited for the opening of the International Congress of Mathematicians.

August 8, 2022.

At 8.30 am, more than 3,000 mathematicians from all over the world stepped into the venue one after another.

Pang Xuelin's position is arranged in the first row near the middle, and around him are top maths in the mathematical world.

For example, the former president of the International Mathematical Union, the Fields Prize winner, and the Japanese mathematician Mori Joichi. Representatives in the field of algebraic geometry, renowned German mathematician Faltings, Grothendieck's mandatory, Princeton mathematics representative Pierre Deligne, Mr. Chen Shengshen's mandible, Wolf Prize With the Fields Award winner Qiu Chengtong, Canadian mathematician, the author of the Langlands program Robert Langlands and so on.

After Pang Xuelin shook hands with the big brothers one by one, he sat down in his place.

Sitting on the left of Pang Xuelin is German old man Faltins, and on the right is an old friend Pierre Deligne from Princeton.

At 9 o'clock in the morning, the scene of the conference was full.

The host of the conference came to power to announce the official opening of the 29th International Conference of Mathematicians.

Soon, Marcelo Viana, chairman of the organizing committee of the 29th International Mathematician Conference that Pang Xuelin had met before, took the lead to speak.

"Ladies and gentlemen:

good morning, everyone.

Today, the 29th International Congress of Mathematicians is grandly opened in St. Petersburg. I am very pleased to represent the organizing committee of the conference and extend the warmest welcome to the guests and representatives who have come to this conference from all over the world.

Mathematics has always been called the "Queen of Science" for its brilliant intellectual achievements, such as the BSD conjecture, ABC conjecture, Hodge conjecture's proof, and the introduction of Ponzi geometry theory. It represents the height of intelligence that we humans can reach.

But at the same time, mathematics is the servant of science.

As the great German mathematician Gauss pointed out when referring to mathematics as the "queen of science", the application of mathematics has experienced unprecedented vigorous development in the past century.

The highly abstract language structures and methods created by mathematicians have repeatedly proven to be universally applicable tools in other fields of science and technology and social practice.

This precisely reflects the profound and wonderful connection between mathematical theory and the objective world.

Please review Riemann's geometry and relativity, Turing machines and real computers, pull integration and CT scanners ...

Mathematics is highly abstract and widely used. It is playing an increasingly important role in modern civilization and human progress.

Human beings are entering a new era, in which the development of society depends more than ever on the advancement of knowledge.

This trend has brought unlimited opportunities to the development of mathematics, and has also presented severe challenges.

Mathematics is not only a scientific language with universal significance, but also a language of communication between different cultures, backgrounds and countries.

Mathematics itself is also developing rapidly. No one can summarize the entire state of the research frontier. Only on the basis of international cooperation and the joint efforts of mathematicians around the world can we understand the full picture of mathematics.

Today, mathematicians from more than 180 countries and regions around the world are gathered together to celebrate the event.

Here, I hope that with such a grand event, we can further promote the development of mathematics and international cooperation.

I also sincerely wish the St. Petersburg International Mathematics Congress a complete success.

thank you all. "

In the warm applause of the audience, Marcelo Viana slowly walked out of the lecture table.

Immediately afterwards, Carlos Kenny, President of the International Mathematical Federation, took the stage to give a speech.

Faltins, who was sitting next to Pang Xuelin, yawned, and said, "It's the same old tune again. If I can say, how good it is to go directly to the topic of this kind of meeting. After the award is given, it will be various reports. The official article is the most boring. "

Before Peng Xuelin had spoken, Deligne on the other side laughed: "This kind of speech doesn't take much time. I think that Viana just spoke very well. The mathematician conference is the place for everyone to communicate. It's boring to talk about academics. "

Faltins had something to say, and Carlos Kenny's speech followed.

Fartins had to shut his mouth and stop talking.

When the two big brothers finished their speeches, the time unknowingly arrived at 10 am.

At this time, Marcelo Viana, the chairman of the organizing committee of the conference, came to the stage again, looked at the audience, and smiled, "Okay, after the routine work is completed, then it comes to the awards session that everyone likes. For some special reasons, a small adjustment has been made to the order of awards of this International Mathematician Conference. We will first award the Nevanlinna Award, then the Gauss Award, Chen Sheng Award, and finally we will award Fields. prize."

Marcelo Viana paused and continued: "Below we have invited the 2002 Nevanlinna Award winner, Mr. Sultan, a professor of electrical engineering from MIT, to take the stage and be the current Nevanlinna Award winner. Award. "

Soon, a gentle-looking mathematician with glasses came to the stage.

He received the award envelope from the conference staff, opened the envelope and glanced, then said with a smile: "The winner of this year's Wanglinna Award is a professor of electrical engineering at the University of Birken, and a mathematician from Turkey, Erdal · Prof. Alican. The polar code he discovered is the first coding scheme that can be theoretically proven to approximate the Shannon channel capacity, solving the nearly 60-year-old problem of Shannon's information theory and laying the foundation for the development of 5G technology. Let us congratulate Professor Erdal Arikan from Turkey. "

Soon, there was a warm applause at the scene.

It is not surprising that Erdal Alican was able to win the prize.

This mathematician is not an unknown person. Four years ago, he had already won the highest award in the field of communications for the discovery of the polar code. , Can also be regarded as popular.

After the Nawanglinna Award was awarded, the subsequent ceremony of the Gaussian Award and Chen Sheng Award was a little bleak.

The Gaussian Prize was awarded to a professor at the University of Paris 6 for his basic contributions to the mathematical, statistical and computational analysis of important issues in signal processing.

The Chen Sheng Award was awarded to Robert Langlands.

The big man is 86 years old this year, and he is separated from Pang Xuelin, and looks quite tough.

Robert Langlands won the Wolf Prize in Mathematics in 1996 and the Abel Prize in 2018 for his famous Langlands program.

This time, Robert Langlands received the Chen Sheng Award from the International Conference of Mathematicians, which can be regarded as an affirmation of his life by the international mathematics community.

The so-called Langlands program is a set of far-reaching conjectures.

These conjectures accurately predicted possible connections between some seemingly unrelated fields in mathematics.

Especially in recent years, the influence of the Langlands program has been increasing day by day, and every new development related to it has been regarded as an important achievement in the mathematical field.

The strongest support for the Langlands program was that when Andrew Wiles proved Fermat's Theorem in the 1990s, Wiles' work led to the resolution of the Gushan-Shicun-Weil conjecture.

The conjecture reveals the relationship between the elliptic curve and the model. The former is a geometric object with profound arithmetic properties, while the latter is a highly periodic function derived from a completely different field of mathematical analysis.

At the same time, the Langlands program proposed the relationship between the Galois representation in number theory and the self-defense type in analysis.

The previous Fields Prize winner, Laurent LaFog, was awarded for proving the overall Langlands program of functions and situations.

The corresponding overall Langlands program proved by La Fogue provides a complete understanding of the more abstract so-called function field, rather than the usual number field situation.

We can divide functions and assumptions into sets consisting of quotients of polynomials. For these polynomial quotients, addition, subtraction, multiplication, and division operations can be performed like rational numbers. La Fugue established a Galois group representation for this function and The exact connection between the hand types accompanying the domain.

Even recent studies have shown that there is a profound connection between the Langlands program and the geometric structure of Ponzi geometry.

As a result, Robert Langlands's award can be described as highly anticipated.

After Marcelo Viana gave Robert Langlands the prize, he grabbed Robert Langlands, who was about to go down, and said with a smile, "Professor Langlands, just a moment."

"what happened?"

Langlands curiously.

Marcelo Viana laughed: "It's up to you to announce the next Fields Prize winner."

Robert Langlands froze slightly and nodded and smiled: "OK, then leave it to me."

Marcelo smiled and motioned to the side staff to give the envelope containing the Fields Prize winner to Robert Langlands.

The whole venue suddenly quieted, and everyone stared at the envelope in Robert Langlands's hand.

As the highest award in mathematics, the Fields Prize is awarded every four years. At the quadrennial international mathematician conference hosted by the International Mathematical Federation, an award ceremony is held for four young mathematicians with outstanding contributions. Family.

Winners must be under the age of 40 before the New Year's Day of the year, and each person will receive a 15,000 Canadian dollar bonus and a gold medal.

This award is different from the Chen Sheng Award, the Abel Prize, and so on. It focuses more on the academic achievements of the recipients than on their qualifications and other contributions to the mathematics community beyond academics.

Therefore, the biennial International Congress of Mathematicians, the biggest point is the Fields Award.

Robert Longlands opened the envelope in his hand, his eyes narrowed slightly, and Peng Xuelin looked in a thoughtful direction.

He then said with a smile: "Below, I will announce the Fields Medal winners for the 2022 International Mathematician Conference."

The first winner was Professor Jacob Lewis.

Professor Lewis was born in Rio de Janeiro in 1986, has dual nationalities in the United States and Brazil, and currently teaches at Harvard University and the Brazilian Institute of Pure and Applied Mathematics.

Professor Lewis was awarded the Fields Prize for his outstanding contributions to power systems and analysis. His idea of ​​renormalization as a unified principle changed the face of the entire field of power systems.

Professor Jacob Lewis's best-known research is in the fields of chaos theory and dynamical systems. The objects studied in these areas are systems that change over time, but small differences in initial states can lead to very different results, such as weather mode. [Butterfly effect] is a metaphor used to describe this kind of system-because the weather is a chaotic system, the butterfly flapping its wings may cause hurricanes hundreds of kilometers away.

In this field, one of the main contributions of Professor Lewis is: It is clear that there is a large class of dynamic systems that will eventually fall into one of two results. These systems will either evolve into a stable state or into a chaotic random state-although they cannot be accurately predicted, they can be described in probabilistic language.

The second winner is Professor Occam Rodney.

Professor Rodney was born in Ontario, Canada in 1985, has dual Canadian and U.S. nationalities, and currently works at Princeton University.

Rodney was awarded the Fields Prize for introducing some powerful new methods in the field of geometric number theory, calculating small rank rings and defining the average rank of elliptic curves.

There is a basic problem in algebra theory: what are the characteristics of integer coefficient polynomials (such as 3x2 + 4xy-5y2). The great mathematician Gauss from the 18th century to the 19th century developed a powerful tool that can handle such polynomials, provided that these polynomials are no more than quadratic.

Professor Rodney carefully studied Gauss's works and incorporated a lot of unique insights in geometry and algebra. He successfully extended Gauss's tools to the field of higher powers, greatly expanding the work of number theorists on these basic mathematical objects. ability.

The third winner, Mark Mueller, is a German national who currently lives in the UK and works at Oxford University. Professor Mueller was awarded the Fields Prize for his outstanding contributions to the theory of stochastic partial differential equations, especially for the establishment of a set of regular structural theories for these equations.

Differential equations are widely used in mathematics, physics, and engineering. It can describe those processes that change over time, such as the movement of a cannon after it ejects from the chamber, or the trend of stock and bond prices. There are many different types of differential equations: ordinary differential equations have only one variable, while partial differential equations handle multiple variables. The deterministic differential equation can be calculated in advance. If the measurement error is not considered, there is no doubt when and where a cannonball will run; while the stochastic differential equation has random factors in it, the movement of sugar in a cup of coffee And the price of a stock at a certain time can not be completely determined.

Stochastic partial differential equations have traditionally been difficult for mathematicians to deal with. Professor Mueller has developed a new theoretical framework that makes these equations much simpler, which not only opens up many new purely mathematical directions, but also has implications for science and engineering. The application is of great significance.

The fourth winner ... "

With that said, Robert Longlands's tone paused.

Everyone at the scene focused their attention on Pang Xuelin ~ www.novelbuddy.com ~ Some scholars who are expected to compete for the Fields Award, but have not been called before, have given up the idea of ​​winning.

The big man almost booked the Fields Medal for this year's conference of mathematicians, and no one was qualified to compete with him.

Even the three people who remembered their names before, won the prize concurrently with Pang Xuelin, which was a little unfair to Pang Xuelin.

Because of their achievements, compared with Pang Xuelin, it is the difference between Firefly and Haoyue.

The Fields Award was awarded to Pang Xuelin, not the honor of Pang Xuelin, but the honor of the Philippine Award.

Just when everyone thought there was no suspense, the next sentence of Robert Longlands made the entire conference of mathematicians quietly audible.

"The fourth winner is Professor Antonio Fowler.

Professor Fowlerley was born in 1984, specializing in mutation and partial differential equations. He is currently a professor at the Federal Institute of Technology in Zurich.

Professor Foley has been working on the theory of optimal transportation. He used the optimal transportation technology to obtain an improved version of anisotropic heterogeneity, and obtained the stability of functions and geometric inequalities.

He is good at turning problems that seem to be partial differential equations into problems of geometric inequality. So many important equations later involved in his work, such as the Hamilton-Jacobi equation, Schrödinger equation, Vlasov-Poisson equation, etc ... "

However, no one was listening to Robert Longlands at this time.

The entire conference hall was quiet for a little while, and then quickly boiled like a volcano about to erupt.