Great Country Academician

Chapter 213 History repeating itself

When the names of the four Fields Medal winners were announced, thunderous applause erupted in the venue again.

Under the venue, looking at the four people wearing gold medals on the stage, Professor Alessio Figalli from Italy applauded and sighed softly.

He has a chance to win this year's Fields Medal, even if his achievements in mathematics are not as good as those of Xu Chuan and Schultz, but he and Professor Aksaj Venkatesh and Kaucher ·Professor Bilkar is actually on par.

But he is younger and can wait for another round, while Aksayi and Kauchel are already in the last round.

Kochel Birkar is approaching the 40-year-old mark, and this year will be full, but the date has not yet come.

Perhaps it was in consideration of this that the International Mathematical Union Committee screened him out.

Although I can understand the approach of IMU, I am afraid that anyone will feel a little bit unwilling.

After all, after waiting for another four years, no one knows what changes will happen in the mathematics world.

Maybe after four years, he won't get the Fields Medal?

This is not impossible.

If one or two more evil geniuses like Xu Chuan appear, he may really be hopeless.

On the other side of the venue, Zhang Wei, who was sitting with his friends, also sighed.

He is also a favorite to compete for this year's Fields Medal, but now, he has no chance to win this medal.

Even if he can solve a century-old problem like Wiles, the International Mathematical Union makes an exception and reissues a Fields Medal, which is a silver medal, not the current gold medal.

The two, after all, are slightly different.

Sitting next to him, Xu Chenyang patted his friend on the shoulder without saying a word.

Speaking of which, he is actually a candidate for the Fields Medal, but he is not popular and there is little hope of competition.

He is not as good as his good friend Zhang Wei, nor is he as good as Italian Professor Alessio Figalli, nor is he as good as Xu Chuan, who proved Hodge's conjecture at the age of twenty.

This time I came to participate in the conference, although I had some expectations, but it was not like other people.

Now that he was completely defeated, it made him feel relieved.

Compared with people, it's normal. Compared with a genius, it shows that you have an upward heart, but compared with a monster who proved the seven millennium problems at the age of twenty, forget it.

In the next time, just do your research.

When the award ceremony was over and the four Fields Medalists shared their experiences, the opening ceremony also came to an end.

As the host and the first country in the southern hemisphere to host the International Mathematical Congress, Brazil prepared a unique cultural performance after the opening ceremony.

On the stage, those performers wearing feather crowns, like the Indians in the cat and mouse animation, are full of primitive atmosphere.

Such a performance seemed more like a mockery to Xu Chuan.

You killed all the original natives, and drove the rest into the depths of the Amazon rainforest. Now you still use this thing as your own characteristic culture.

Just like a certain country in East Asia, they always like to steal some other people's culture, and then modify it as their own.

After the special performance, the time came to half past eleven. Under the announcement of Shigefumi Mori, chairman of the International Mathematical Union, the opening ceremony of this International Congress of Mathematicians officially ended.

By this time, most of the participants had started to leave.

The opening meeting was held on the morning of August 1st, and there was a dinner party arranged by the International Mathematical Union at noon. There was no arrangement in the afternoon or evening, and there was no report meeting, but a venue was prepared for mathematicians from various countries to communicate or chat together.

The International Mathematics Congress is originally an international conference for mathematicians from all over the world to communicate, demonstrate and discuss the development of mathematics, meet old friends and make new friends.

Mori Shigebun announced his exit, and Xu Chuan was about to leave the venue.

"Hi, Xu, let's go together?" Beside him, another Fields Medal winner, Peter Schultz, came over with a smile and greeted him.

"Professor Schultz." Xu Chuan responded with a smile.

"Just call me Peter or Schultz, professor or something, too distant."

Schultz shook his head with a smile, and continued: "When I was in Princeton two years ago, I knew that you would be the winner of the Philippine Award in the future. I just didn't expect that in just two years, you broke the history Record."

"Congratulations, the youngest Fields Medal winner in history, 20 years old, it is estimated that no one will be able to break this record in the future."

Xu Chuan smiled and said, "Thank you, and congratulations on successfully winning the Philippine Award."

Compared with him, Schultz's process of winning the Philippine Award was quite tortuous.

In 2010, Schultz, who was still a graduate student, created the "perfect space" mathematical tool. Although this achievement allowed him to nominate a candidate for the Philippine Award, he failed to win the Philippine Award.

This is the first time running with me.

In 2014, although he made a lot of achievements using the "perfect space" mathematical tool and expanded the scope of application of the law of reciprocity, the International Mathematical Union still did not award him the Philippine Prize.

On the one hand, it may be because Schultz is only 26 years old, one year younger than Professor Searle, the youngest winner at the time. After all, not everyone is happy to see records broken.

On the other hand, it was the Philippine Awards in 2014, which can also be said to be full of big shots.

Whether it is the Brazilian professor Artur Ávila who has made great contributions to the theory of dynamical systems and even changed the face of this field; or has developed powerful new methods in the field of geometry of numbers, and uses these methods to calculate rings of small rank Prof. Manuel Bhargava on Bounds for Counting and Estimating the Mean Rank of Elliptic Curves.

Or Professor Mariam Mirzakhani, the first female Fields Medalist in history. They are all the top masters in mathematics.

So although Schultz's achievements are enough to deserve the Philippine Award, he still ran with him again.

However, four years later this year, relying on advancing the mathematical tool of 'perfect space' to 'P·S Progression-Geometric Theory' and making a major breakthrough to the Langlands program, Schultz finally succeeded in abstracting He won the highest medal in mathematics.

With enough achievements, he ran with two international mathematics conferences and didn't get it until the third one. This is probably the first person in the mathematics world.

Schultz didn't pay much attention to these.

Although he ran with him twice, he finally won the Philippine Award this year, and in terms of age, he is only 31 years old this year.

As for the achievement of breaking the youngest winner, although it is a pity that he failed to do so, it also shows that he is not strong enough.

If he can be as strong as Xu Chuan in front of him and directly prove a millennium problem, no matter how young he is.

"By the way, Xu, are you interested in the Langlands Program?"

The two were chatting, and Peter Schultz suddenly asked.

"The Langlands Program?"

"Yeah." Schultz nodded, and then said with a smile: "Maybe we can cooperate to solve this program, and then unify algebra and geometry!"

Hearing this, Xu Chuan glanced at Schultz in surprise.

Unify Algebra and Geometry!

Regardless of whether you can do it or not, just this tone alone makes you crazy.

But a genius, that's normal.

He is the same, although he doesn't show it very much on the surface, but what he believes, no matter how big or far away the goal is, no matter how difficult the journey of conquest is, he will not hit the south wall and not look back. kind.

If you have no arrogance and can't firmly believe that you can succeed, what kind of genius is that?

What surprised him was that this genius mathematician from Germany, known as the successor of Pope Grothendieck, really embarked on the path of successor?

Unifying algebra and geometry was the lifelong dream of his grandfather, Mr. Grothendieck, and also the lifelong dream of his mentor, Professor Deligne.

After Deligne entered the Institute for Advanced Study in Princeton, he has been studying the "Grotendieck Standard Conjecture", with the purpose of inheriting his mentor's last wish and unifying algebra and geometry.

As for Xu Chuan, his disciple, it would be a lie to say that he hadn't thought about this aspect.

So when Schultz made this request, he was indeed tempted.

But it was quickly rejected.

On the one hand, he doesn't have so much time to spend on mathematics research in the future. Even if he has, he will mainly focus on NS equations.

If he can solve the NS equations, his ability in fluid mechanics will take a big step forward.

This is his original intention of switching to majoring in mathematics in this life, to assist in the progress of physics.

On the other hand, the goal is too big.

The goal of unifying algebra and geometry is really too big.

Although algebraic geometry already exists as a branch of mathematics, it also has extensive connections with many sub-disciplines, such as complex analysis, number theory, analytic geometry, differential geometry, and commutative algebra.

But this is not true unity.

For example, the problem of dimensionality has not been solved, for example, some complex algebraic problems cannot be converted to geometry, such as the curvature of algebraic geometry and the structural problems of group ring theory, etc.

These are all problems, not so easy to solve.

If solving the seven millennium problems is going to the moon or going to fire, then the difficulty of unifying algebra and geometry is leaving the solar system.

The gap between the two is not a star and a half.

The two were chatting here, and on the other side, an exclamation sounded in the venue.

"Where's my bag? I put it here, where did it go?"

The exclamation was not small, and it immediately attracted the attention of other people in the venue, and the staff of the International Mathematical Union quickly walked over.

"Excuse me, what happened?" A young staff member in uniform quickly came over and asked.

Kochel Birkar looked around, found the table and the ground, and then frowned: "My bag is gone. It contains my wallet, mobile phone and medals."

Hearing this, the staff quickly took out the walkie-talkie and began to broadcast the news, asking other staff to help find it and retrieve the surveillance video.

And Xu Chuan, who was communicating with Schultz, couldn't help laughing after hearing the exclamation.

The wheel of history is still rolling over.

'Tragic' once again, Professor Cauchel Birkar's Fields Medal stolen.

Although this is not a 'big deal', it does not prevent him from eating melons in the past.

Taking Schultz with him, Xu Chuan also rushed to Professor Kochel Birkar, and began to pretend to help find the briefcase.

But obviously, this is impossible to find.

After a while, the chairman of the Organizing Committee of the International Mathematical Union Conference, Professor Viana from Brazil rushed over.

"Sorry, Professor Kocher, we checked the surveillance and found that someone stole your briefcase. The briefcase has been found, but the mobile phone, wallet and medal inside are gone."

Passed the briefcase that was retrieved in time to Professor Kocher, and Professor Viana apologized: "I am really sorry for what happened at this mathematics conference. We have already called the police and hope that your things can be released as soon as possible." get back."

The International Mathematical Congress itself does not restrict the identity of the entrants, and anyone can participate.

It's just that no one expected that thieves had sneaked into this conference and stole the gold medal just obtained from a Fields Medal winner.

This kind of thing has never happened in previous international mathematics conferences.

Brazil, as the first country in the southern hemisphere to hold an international mathematics conference, can be said to have lost all face.

It is impossible to hide such a big event, especially now that there are so many international media present in the venue.

This is really embarrassing. His grandmother opened the door for Sharen, and Shame went to grandma's house.

ps: There are still at night, please ask everyone for a guaranteed monthly pass

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