In addition to congratulations and congratulations, Academician Zhang Weiping also persuaded Xu Chuan in his hotel room for a long time, trying to make him temporarily give up physics and concentrate on studying mathematics.

But Xu Chuan pushed left and right, but he didn't give a clear answer and reply.

If he were to give up physics, this was possible, it was impossible.

His goal in studying mathematics was to advance in physics, an idea that has not changed even if he has proven a world-class problem.

However, as he studied mathematics more deeply, Xu Chuan felt that mathematics was really broad and profound.

Even if he proved the Weyl-Berry conjecture, he felt that he had only picked an apple in a huge orchard.

And the apples that are bigger, brighter, and sweeter than the Weyl-Berry conjecture don't know how many there are in the orchard of mathematics.

The climb is still quite long.

With his current achievements and achievements, he has only just begun.

At most, I walked to the foot of Mount Everest, and when I looked up, I could see the backs of those great predecessors climbing upward.

Even, some can't even see their backs.

For example, Pope Grothendieck, who is already standing on the summit.

Emperor G's greatest achievement was that he pioneered the discipline of modern algebraic geometry, thus providing a possibility to unify the various branches of mathematics.

There are few contemporary mathematics that are not influenced by algebraic geometry, and this achievement has had an unparalleled impact on the entire contemporary mathematics!

Since the development of algebraic geometry, it can be said that algebraic geometry is the pinnacle of abstraction in the history of mathematics and the future of mathematics.

In addition, Emperor G also developed a large number of new mathematical constructs, such as generalizations, motiv (dynamic forms), ultimate cohomology, category theory, topology and a series of new mathematical constructs.

These things reached the extreme and peak of abstraction in the history of mathematics under the hands of Emperor G, and no one has been able to fully decipher them so far.

But it is clear that these are the centers of the future of mathematics, and a slight breakthrough could go down in the annals of mathematics.

Looking at the number of algebraic geometry awards in the contemporary Fields Medal, we can see the profound influence of Emperor G on contemporary mathematics from one side. In the second half of the 20th century, Emperor G's status was unmatched.

Now he can't even see his back, let alone chasing the pace of the Pope.

The proof of the Weyl-Berry conjecture is only the starting point to the highest peak.

As for graduation, Xu Chuan feels that it seems to be about the same.

The math grades are definitely enough for him to graduate, but the physics also has to toss something out.

You can't afford to graduate with this academic conjecture that proves world-class mathematics, but you have achieved nothing in physics and have not made any achievements.

Xu Chuan thought about it, and he felt that he might be a little obsessive-compulsive.

Because he felt that since he was a double major, there was no reason why his grades in physics would be worse than that in mathematics when he graduated.

So after this math exchange meeting, Xu Chuan is also ready to do something in physics to draw an end to his university.

As for the scope of things that have been made, there are probably two aspects.

One is particle physics, which he studied in college.

On the other hand, it should be about Betelgeuse.

This has something to do with the use of Weyl-Berry's conjecture after it was proven, and as a provers, and he is also a student of the double study of material and mathematics, there is no reason why he should not be the first to use it to develop and use it.

And he himself is quite interested in Betelgeuse's current state.

This red supergiant, which is only more than 600 light-years away from the solar system, is now in the old age of its life.

Perhaps, one day in the future, people will be able to see it turn into a supernova as bright as the moon in the sky, and then slowly turn into a dazzling and beautiful nebula in the universe over time, and then give birth to one or more stars again.

This will be a carnival for the astronomical community, and it may also bring new discoveries to the physics community.

In the last years of a massive star, a supernova explodes at close range, which is enough for humans on Earth to observe a lot of things.

Therefore, Xu Chuan is still quite interested in Betelgeuse and wants to see if he can observe it with the help of the astronomical telescope equipment of Nanda University.

Then use the Weyl-Berry conjecture to make an accurate judgment on it, determine its size, and then determine where it has reached its old age, and how long it is until the supernova explosion.

This is indeed a very interesting and meaningful thing.

......

After resting in the hotel room for a while, and sorting out the inspiration and ideas generated when he came to the stage today, Xu Chuan went downstairs again.

Today is the fourth and last day of the meeting.

Because there were no presentations or evenings on the fifth and seventh days, there were only mathematics professors from all over the world who were free to move around Princeton and exchange ideas.

So on the evening of the fourth day, there will be a grandest party, as well as a ball.

Although Xu Chuan is not interested in the ball, the party cannot be missed.

Still, he underestimated the sensation he had caused by proving a world-class mathematical conjecture on stage.

When he stepped into the auditorium, many people around him seemed to recognize him, and then many younger scholars gathered around.

"Are you Chuan Xu? The genius boy who took out the Weyl-Berry conjecture on stage this afternoon? ”

"Can you take a picture with me? I want to post it on Facebook. ”

"Hi, handsome guy from Huaguo, can you give me your contact information? It's okay to have an email.,If it really doesn't work, let me follow your Twitter.,Or you can follow my Twitter.,There's a lot of beautiful women in my attention.。 ”

Struggling to get rid of these enthusiastic and even somewhat fanatical scholars, Xu Chuan found Academician Zhang Weiping, who was now talking to a mathematician with a cocktail.

Seeing Xu Chuan coming, he immediately pulled him to introduce him warmly.

"Xu Chuan, you came at the right time, this is Professor Artur Ávila, a professor of mathematics from Brazil, who has won top awards such as the European Mathematical Society Prize and the Fields Medal, and has profound research in the field of chaos theory, dynamical systems and spectral theory."

"Hello, Professor Avila." Xu Chuan said hello with a smile.

"Hello, Xu Chuan, I didn't expect you to be so young." Professor Artur Avila smiled at him with a glass of wine and continued.

"It's a pity that I missed your briefing this afternoon, but I watched the video of the report in the evening, and it can be said that this is the most exciting briefing of the year."

"Your understanding of spectral theory and spectra of fractal dimension and fractal measures is beyond imagination and has given me a lot of inspiration, some of which can be used in one of my research projects, and it has saved me months of time, thank you so much."

"I don't know if you have time tomorrow, I want to occupy a morning and want to talk to you about mathematics in spectral theory."

"Tomorrow morning? Of course. ”

Xu Chuan smiled and agreed, chatting with a Fields Medalist about math, an opportunity that no one else could ask for.

Sometimes, some inspiration can be a great help and inspiration to each other.

What's more, he also wanted to talk to this Professor Avila, but not about spectrum theory, but chaos theory.

The Brazilian-French mathematician was awarded the Fields Medal in 2004 for his outstanding contributions to dynamical systems and analysis.

But he is best known for his research in the field of chaos theory and dynamical systems.

The object of study in these fields is a chaotic but somewhat interconnected system that changes over time, but small differences in the initial state can lead to vastly different results.

For example, the "butterfly effect" in weather patterns.

This is the metaphor used to describe such a system – because the weather is a chaotic system, a butterfly flapping its wings can cause hurricanes to occur hundreds of kilometers away.

One of Avila's main contributions in this field is that he made it clear that there is a large class of power 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.

Well, some are close to the chaotic and turbulent systems he had studied in his previous life.

This is also what Xu Chuan hopes to get from the professor in front of him the most.

This may be useful for building a mathematical model for turbulent systems.

.......

At 8 p.m., the party officially begins, and a variety of food and wine are served on the white table, including fine caviar, deep-sea fish, Australian lobster, and a variety of top-notch meats and vegetables.

To be honest, in the mathematical world, Princeton is probably the only one with this kind of strength.

Even if it is a mathematics conference organized by the International Mathematical Union, there will not be such a sumptuous party.

The richest school in the world has more than 10 billion meters of gold flowing on Wall Street every year on the stock market.

Just as no Wall Street foundation would turn away students from Princeton's mathematics and economics departments, with the capabilities of Princeton's mathematics and economics departments, it is not difficult, if not very simple, to control these funds and earn compensation.

Sometimes, with a little luck, those tens of billions can bring Princeton more than 10 percent ROI.

Removing all kinds of expenses, there are still more than a billion meters of pure profit left, which can be said to be quite terrifying.

After all, this is not 12,000,000, but 340 billion meters of gold, quantitative investment, the larger the capital, the lower the rate of return, this is an almost insurmountable truth.

It's like looking at principal as a fish and the stock market as a pond.

When 10,000 pieces, the fish is very small, it may be a crucian carp that has been thrown into a pond, at most only a small splash, and even if there is a big wind and waves on the day, even the splash can not be seen, it can swim in various ways in it, and live a good life.

And tens of billions of dollars is a great white shark in the sea, you throw it into the pond, and the splash can blow up part of the water in the pond.

At this time, it is difficult to turn inside.

The ability to manipulate billions of meters of gold to wander in the stock market and ensure that it can make money is the envy of all fund companies around the world.

In the face of such a large amount of money, perhaps Warren Buffett and financial tycoon George Soros can use them to earn more money and obtain more returns in a certain period of time, but they cannot be as stable as Princeton year after year.

Just like Harvard University also has its own school fund, and the amount is huge, close to 50 billion meters, and it can also achieve a return of about 10%.

But after paying all the bills, Harvard was left with only $300 million in annual profits.

In contrast, one is in the sky and the other is on the ground.

Well, the reason why I mention this is because he also borrowed this fund return system in his previous life, earned billions of nearly 10 billion rice gold, and then used this money as a foreshadowing, so that he went further on the road of academics, and finally stood at the top of the physics world.

.......

Holding a plate, Xu Chuan was picking food on the dining table, and bumped into an old man in a dress with all gray hair.

"Are you, Professor Deligne?"

Xu Chuan recognized the old man in front of him, the closed disciple of the Pope, the winner of the Fields Medal, the Grand Slam scholar of mathematics, Viscount Pierre-René de Ligné.

"It's me." Professor Deligne smiled and continued, "You did a great job in the afternoon presentation. ”

"Thank you for the compliment."

Xu Chuan showed a bright smile, with his understanding of this old man, this was very rare.

"Don't be modest, I'm coming to you today to ask if you've considered further study in mathematics?" Deligne asked, taking a sip from the glass in his hand.

"Of course." Xu Chuan replied without hesitation.

"Then I am here to invite you to come to Princeton for your Ph.D., and if you wish, I can mail you an invitation letter."

"Of course, with your achievements, you are good enough to be a professor at Princeton, but I think now is the time for you to learn, and you have deeper potential to tap."

For the genius boy in front of him, Professor Deligne did not hesitate to express his hope and invitation.

"I remember that I didn't need three letters of recommendation to do a PhD at Princeton?"

Xu Chuan asked with some curiosity, normally speaking, to study for a doctorate degree at Princeton, you need three letters of recommendation that are recognized by Princeton, as well as excellent paper grades and proof of academic activities.

In his last life, he was his mentor, Chen Zhengping, a professor of high-energy physics at Euratom, and a letter of recommendation written for him by Edward Witten.

"That's for others, for a talented young man like you, these Princetons can make exceptions, and if you need a letter of recommendation, I'm sure every professor in this auditorium will write it." Professor Deligne said with a smile.

For a teenager who solves a mathematical conjecture at the age of eighteen, there are rules that can be broken.

Such a student could not be more suitable for Princeton.

"I'll bother you, but I may have to wait until September of this year to get my PhD, or a little later."

"You know, I'm currently at Jinling University, but I'm a double major in Mathematics and Physics, so if I want to come to Princeton, I need to graduate from both courses, and it will take a little while."

Xu Chuan did not refuse the invitation, but just put forward his own ideas.

"It's okay, it doesn't matter, Princeton's doors are open to you at any time."

Professor Deligne smiled and said, "Enjoy tonight's party and ball, at least half of it is yours." ”

........。