"Master, Professor Faltings looks very kind, not at all as rumored, you can see how happy Professor Shinichi laughs when he chats with him."

"Professor Deligne was so good that he complimented me on my dissertation and asked me if I would like to do a postdoc at Princeton...... Hehe, I don't want to go, now our Pang Xuelin Mathematical Research Center at Jiang University is not much worse than the Institute for Advanced Study in Princeton. ”

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

……

On the way back to the room, Ai Ai followed Peng Xuelin and chattered like a lark.

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

This girl is too noisy.

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

When he came to the door of his room, Pang Xuelin stopped, but he didn't expect Ai Ai to stop as well.

Pang Xuelin looked at Ai Ai, Ai Ai was on tiptoe, with her hands behind her back, jumping up and down, like a big penguin.

Pang Xuelin finally saw some clues and said, "If there is anything, just say it directly." ”

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

Ai Ai blushed.

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

Pang Xuelin pretended to enter the house.

"Master!" Ai Ai's fair face flushed a little, and after a long while, he handed the things in his hand to Pang Xuelin and said, "Master, this is for you." ”

"For me?"

Pang Xuelin was slightly stunned.

What appeared in front of Pang Xuelin was a delicate matryoshka doll.

The male figure looks quite cute.

Pang Xuelin looked at Ai Ai with a smile and said, "This is what I 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 me as a master when you went out to play, so I'll accept it." ”

As he said, Pang Xuelin took the matryoshka doll from Ai Ai's hand, and seeing that Ai Ai had no signs of leaving, he couldn't help but be curious: "Is there anything else?" ”

Ai Ai opened her mouth, stopped talking, hesitated for a moment and said, "It's nothing, master, then I'll go to rest first, and you can go to bed early." ”

"Well, good night."

"Good night."

Ai Ai hadn't taken two steps before she suddenly turned around and said, "Master, when I return to China, can you let me meet the two sisters?" I've heard they're particularly beautiful. ”

"Master?"

Pang Xuelin couldn't help but be stunned.

Ai Ai laughed, and without waiting for Pang Xuelin to respond, he turned around and bounced away.

Pang Xuelin came back to his senses and muttered to himself, "I'll go." How did Ai Ai know, could it be Zuo Yiqiu? ”

Think about it, Pang Xuelin thinks it's unlikely.

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

Pang Xuelin shook his head, didn't think about it anymore, he knew it, he couldn't hide this kind of thing.

The next morning, Pang Xuelin happened to meet Zuo Yiqiu when he went to eat buffet breakfast.

The two of them sat down at a table for breakfast.

Perhaps because of her participation in the International Congress of Mathematicians, Zuo Yiqiu specially wore a pair of black-framed glasses on her face, with her suit and skirt, which gave her more intellectual taste.

Perhaps sensing the strange look in Pang Xuelin's eyes when he looked at him, Zuo Yiqiu was a little strange and said, "Professor Pang, what's on my face?" ”

"Nothing."

Pang Xuelin shook his head.

"Oh."

The two chatted while eating.

When he was about to finish eating, Zuo Yiqiu hesitated, took out a matryoshka doll from the small bag he carried, and said: "Professor Pang, yesterday, Ai Ai and I went out to buy gifts for our family, and we ended up buying an extra nesting doll, so I'll give this to you." ”

Saying that, she put the nesting doll in front of Pang Xuelin in a little panic, stepped on high heels and left the restaurant in a hurry.

As a result, when he went down the stairs at the door of the restaurant, he pinned his foot and almost fell.

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

The mathematicians' conference will not be officially held until tomorrow, and there is nothing to do today, but Pang Xuelin can't be idle.

Now his status in the world of mathematics is faintly surpassed that of Grothendieck.

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

However, Shinichi Mochizuki and Perelman were a little inauthentic, these two guys actually went out early in the morning.

Obviously, I know that staying in the hotel today may not stop for a whole day.

After finally coping with these trivial matters.

Finally, the day of the opening of the International Congress of Mathematicians arrived.

August 8, 2022.

At half past eight in the morning, more than 3,000 mathematicians from all over the world walked into the venue one after another.

Pang Xuelin's position was arranged in the first row near the middle, and around him were the top bigwigs in the mathematics world.

For example, the former president of the International Mathematical Union, Fields Medal winner, and Japanese mathematician Shigefumi Mori. Representative figures in the field of algebraic geometry, the well-known German mathematician Faltins, the mantle disciple of Grothendieck, the representative figure of the Princeton Department of Mathematics Pierre Deligne, the mantle disciple of Mr. Chern Shiingshen, the winner of the Wolf Medal and the Fields Medal, Robert Langlands, a Canadian mathematician, and the proposer of the Langlands program, etc.

After Pang Xuelin shook hands with these bigwigs one by one, he sat down in his place.

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

At nine o'clock in the morning, the conference site was already full.

The host of the conference took the stage to announce the official opening of the 29th International Congress of Mathematicians.

Soon, Marcelo Viana, chairman of the organizing committee of the 29th International Congress of Mathematicians, whom Pang Xuelin had met before, took the lead in delivering a speech.

"Ladies and gentlemen,

Good morning.

Today, the 29th International Congress of Mathematicians opens in St. Petersburg, and I am pleased to extend the warmest welcome to the Organizing Committee of the Congress and to the guests and delegates from all over the world.

Mathematics has always been known as the "queen of science" for its brilliant intellectual achievements, such as the recent BSD conjecture, ABC conjecture, Hodge conjecture proof, Ponzi geometric theory and so on. It represents the intellectual heights that we humans are capable of.

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 development over the past century or so.

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

This is precisely a reflection of the deep and wonderful connection between mathematical theory and the objective world.

Let's review Riemannian geometry vs. relativity, Turing machines vs. real computers, pull integrals vs. CT scanners......

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

Humanity is entering a new era in which the development of society depends more than ever on the progress of knowledge.

This trend has brought unlimited opportunities and serious challenges for the development of mathematics.

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, and no one person can encapsulate the entire state of the research frontier, and it is only on the basis of international cooperation and the joint efforts of mathematicians around the world that it is possible to understand the whole picture of mathematics.

Today, mathematicians from more than 180 countries and regions around the world gather together to participate in the grand 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 International Congress of Mathematicians in St. Petersburg a complete success.

Thank you. ”

To the applause of the audience, Marcelo Viana slowly walked out of the speaker's seat.

Immediately afterwards, Carlos Kenny, President of the International Mathematical Union, delivered a speech.

Faltins, who was sitting next to Pang Xuelin, yawned and said: "It's the same old tune again, if you want me to say, how good it is that this kind of meeting goes directly to the main topic, and after the award, there will be various report meetings immediately, and this kind of official article is the most boring." ”

Before Pang Xuelin could speak, Drinje on the other side said with a smile: "This kind of speech is not useful for much time, I think Viana spoke very well just now, the Mathematicians Conference is a place for everyone to communicate, and it is boring to talk purely about academics." ”

Before Faltins could say something, Carlos Kenny's speech began.

Faltins had no choice but to keep his mouth shut and stop talking.

By the time the two bigwigs finished speaking, the time was unconsciously ten o'clock in the morning.

At this time, Marcelo Viana, chairman of the organizing committee of the conference, came to the stage again, looked at the crowd in the audience, and said with a smile: "Okay, after the routine is over, it is time for everyone to welcome the award session." First of all, due to some special reasons, the order of the major awards of this International Congress of Mathematicians has been slightly adjusted, we will first award the Nawang Linner Prize, then the Gauss Prize, the Chern Prize, and finally we will award the Fields Medal. ”

Marcelo Viana paused and continued: "We now invite Mr. Sultan, the winner of the 2002 Nawang Linna Prize and Professor of Electrical Engineering from the Massachusetts Institute of Technology, to present the award to the laureate of this year's Nawang Linna Prize. ”

Soon, a bespectacled, mild-looking mathematician walked up to the stage.

He took the award envelope from the hands of the conference staff, opened the envelope and looked at it, and then said with a smile: "The winner of this year's Wanglina Prize is Professor Eldar Arikan from Turkey, a professor in the Department of Electrical Engineering at Birken University. The polar code he discovered is the first coding scheme that can be theoretically proven to approximate the capacity of Shannon's channel, which solves the problem of Shannon's information theory that has been dusty for nearly 60 years, and lays the foundation for the development of 5G technology. ”

Soon, the scene resounded with warm applause.

There was no surprise that Eldar Arikan was able to win the award.

This is not an unknown figure in the world of mathematics, and four years ago, he won the Shannon Prize, the highest award in the field of communications, for the discovery of polar codes.

Now winning another Nawang Linna Award is also a long-awaited achievement.

After the presentation of the Nai Wanglina Award, the subsequent awards ceremonies of the Gauss Award and the Chern Shiingshen Award were somewhat uneventful.

The Gauss Prize was awarded to a professor at the University of Paris VI for his fundamental contributions to the mathematical, statistical, and computational analysis of important problems in signal processing.

The Chern Award was awarded to Robert Langlands.

This big guy is 86 years old this year, and he is separated from Pang Xuelin by one position, and he looks quite tough.

Robert Langlands won the Wolf Prize in Mathematics in 1996 and the Abel Prize in 2018 for proposing the famous Langlands Program.

This time, Robert Langlands received the Chern Shiingshen Award from the International Congress of Mathematicians, which can be regarded as an affirmation of his life by the international mathematical community.

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

These conjectures accurately predict possible connections between seemingly unrelated areas of mathematics.

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

The strongest support for the Langlands program is that in the 90s of the last century, when Andrew Wiles proved Fermat's theorem, Wiles's work led to the solution of the Taniyama-Shimura-Wey conjecture.

The conjecture reveals the relationship between elliptic curves, which are geometric objects of profoundly arithmetic nature, and models, which are highly periodic functions derived from very different fields of mathematical analysis.

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

Laurent Laforg, the last Fields Medal winner, won the prize for proving the overall Langlands program in which functions correspond to situations.

The corresponding holistic Langlands program, as demonstrated by Laforg, provides such a complete understanding of the more abstract so-called functional domains, rather than the usual case of number fields.

We can divide functions and assumptions into sets of quotients of polynomials for which addition, subtraction, multiplication, and division can be performed in the same way as rational numbers.

There are even recent studies that show that there is a profound connection between the Langlands program and the geometry of Ponzi geometry.

Therefore, Robert Langlands' award is well deserved.

After Marcelo Viana presented the award to Robert Langlands, he grabbed Robert Langlands, who was about to go down, and said with a smile: "Professor Langlands, wait a minute. ”

"What's wrong?"

Langlands wondered.

Marcelo Viana smiled: "The next Fields Medal winners, it's up to you to find out." ”

Robert Langlands was slightly stunned, nodded and smiled: "Okay, then leave it to me." ”

Marcelo smiled, motioned to the staff nearby, and handed the envelope containing this year's Fields Medal winner to Robert Langlands.

The whole room fell silent, and everyone was glued to the envelope in Robert Langlands' hand.

As the highest award in mathematics, the Fields Medal is awarded every four years at the quadrennial International Congress of Mathematicians hosted by the International Mathematical Union, and is awarded to four young mathematicians who have made outstanding contributions each time.

Winners must be under the age of 40 by New Year's Day of that year and will each receive a Canadian $15,000 prize and a gold medal.

Unlike the Chern, Abel, etc., this award focuses more on the academic achievements of the recipients, rather than on their qualifications and other contributions to the mathematical community.

Therefore, the biggest attraction of the quadrennial International Congress of Mathematicians is precisely the Fields Medal.

Robert Langlands opened the envelope in his hand, his eyes shrank slightly, and he glanced thoughtfully in the direction where Pang Xuelin was.

Then, he said with a smile: "Next, I will announce the list of Fields Medal winners of the 2022 International Congress of Mathematicians. ”

The first laureate was Professor Jacob Lewis.

Born in Rio de Janeiro in 1986, Professor Lewis is a dual citizen of the United States and Brazil, and currently teaches at Harvard University and the National Institute of Pure and Applied Mathematics in Brazil.

Professor Lewis was awarded the Fields Medal for his outstanding contributions to powertrain systems and analysis, and his idea of renormalization as a unified principle changed the face of the entire field of powertrains.

Professor Jacob Lewis is best known for his research in the field of chaos theory and dynamical systems, which study systems that change over time, but small differences in initial states can lead to very different outcomes, such as weather patterns. The butterfly effect is a metaphor used to describe such a system – because the weather is a chaotic system, a butterfly flapping its wings can cause hurricanes hundreds of kilometers away.

One of Professor Lewis's main contributions to this field is to make it clear that there is a large class of dynamical systems that will eventually fall into one of two outcomes. These systems will either evolve into a steady state or a chaotic random state – which cannot be predicted exactly, but can be described in the language of probability.

The second laureate, Professor Occam Rodney.

Born in Ontario, Canada in 1985, Professor Rodney is a dual Canadian and American citizen of Princeton University.

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

There is a fundamental problem in algebraic theory: what are the characteristics of integer coefficient polynomials (e.g., 3x2+4xy-5y2). Gauss, the great mathematician of the 18th and 19th centuries, developed a powerful tool for dealing with such polynomials, but only if they were no more quadratic.

Professor Rodney's careful study of Gauss's writings and the incorporation of a wealth of geometry and algebra insights have succeeded in extending Gauss's tools to the higher powers, greatly expanding the ability of number theorists to study these fundamental mathematical objects.

The third laureate, Mark Müller, is a German who lives in the UK and works at the University of Oxford. Professor Mill was awarded the Fields Medal for his outstanding contributions to the theory of stochastic partial differential equations, in particular the establishment of a regular structural theory for these equations.

Differential equations are widely used in mathematics, physics, and engineering. It describes processes that change over time, such as the movement of a cannon after it has been ejected, or the trend of stock and bond price changes. There are many different types of differential equations: ordinary differential equations have only one variable, while partial differential equations deal with multiple variables. Deterministic differential equations can be calculated in advance, and if measurement errors are not taken into account, then there is no doubt about when and where a shell will run; Stochastic differential equations, on the other hand, have random factors in them, and neither the movement of sugar particles in a cup of coffee nor the price of a stock at a given moment can be completely determined.

Stochastic partial differential equations have traditionally been difficult for mathematicians to deal with, but Professor Mill has developed a new theoretical framework that makes these equations much simpler, opening up many new directions in pure mathematics and having great implications for applications in science and engineering.

The fourth winner......"

At this, Robert Langlands's tone paused.

Everyone at the scene focused on Pang Xuelin, and some scholars who were expected to compete for the Fields Medal but had not been called by name before also gave up the idea of winning the award at this time.

The bigwig had almost 100 percent booked the Fields Medal for this year's Congress of Mathematicians, and no one qualified to compete with him.

Even the three people who read their names before won the award at the same time as Pang Xuelin, which was a little unfair to Pang Xuelin.

Because their achievements, compared with Pang Xuelin, are completely the difference between Firefly and Haoyue.

The award of the Fields Medal to Pang Xuelin is not an honor for Pang Xuelin, but an honor for the Philippine Award.

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

The fourth laureate, Professor Antonio Fleurly.

Born in 1984, Prof. Reilly is a professor at ETH Zurich and is currently a professor at ETH Zurich.

Professor Fareley has been working on the theory of optimal transport, using optimal transport techniques to obtain improved versions of anisotropic inhomogeneities and to obtain stability of functional and geometric inequalities.

He is adept at transforming what appears to be problems of partial differential equations into problems of geometric inequalities. Therefore, many important equations were involved in his later work, such as the Hamiltonian-Jacobi equation, the Schrödinger equation, the Vlasov-Poisson equation, and so on......"

However, no one was listening to Robert Langlands anymore.

After a short silence in the entire press conference hall, it soon boiled violently like a volcano about to erupt.