As soon as Xu Chuan turned around and took two steps, the invitation of Professor Tao Zhexuan came over behind him.

Stopping, he glanced at it with some confusion and asked, "Isn't Professor Schultz's report going to be at nine o'clock tomorrow morning?" ”

He had seen the formation of this mathematics exchange meeting before, and he remembered clearly every time that was worth listening to, and Professor Schultz's report was one of his key goals this time.

Professor Schultz, like Tao Zhexuan, is a rising star in mathematics, but he is younger, not yet 30 years old this year.

The two are known as the twin towers by the mathematical community, which shows that they have opened up a big gap between other peers.

"Yes, it was supposed to be ten o'clock in the morning, but Professor Gowers has something to rush back to Cambridge temporarily, so this afternoon's report has been advanced, and these things should be sent to your mailbox." Tao Zhexuan explained with a smile.

"Oh, I see, that's the trouble Professor Tao." Xu Chuan nodded, turned around and kept up with Tao Zhexuan's pace.

"Isn't it okay to move on to the problem of fractal boundaries?" Tao Zhexuan pushed the frame of his glasses and looked at Xu Chuan with a smile.

.......

When the two arrived in the auditorium of Professor Schultz's presentation, they proved that the report had begun.

After finding a seat and sitting down, Xu Chuan looked at the figure with shoulder-length curly hair on the stage and began to listen seriously.

Peter Schultz's unsurprising presentation at this Princeton Mathematics Exchange was his greatest achievement, 'Mathematical Concepts of Perfect Space'.

This is a mathematical tool he created during his Ph.D., also known as 'p·s Domain-Geometric Theory'.

This theory allowed mathematicians to prove many unsolved puzzles in algebraic geometry and other fields, and combined topology, Garois theory, and p-incinations to form a new mathematics.

At present, this set of theories is very popular in the mathematical community, and it is a unique darling in the field of number theory.

On the one hand, the inventor Schultz himself used this set of theories to make many major breakthroughs in the Langlands program, which attracted the attention of many mathematicians.

On the other hand, it is the p-inward number that is at the heart of the field of number theory, for example, when Professor Wiles proved Fermat's theorem, almost every step involved the concept of p-incubation.

Moreover, there is almost unanimous agreement in the mathematical community that the study of the great unity of geometry and algebra may be in the p-incital.

Oh, and by the way, part of his previous research, the Weyl-Berry conjecture, has something to do with the P-in-the-jack.

Therefore, Xu Chuan attaches great importance to Professor Schultz's report, hoping to get some inspiration from it, and then make a breakthrough in the spectrum of the Weyl-Berry conjecture.

"Xu, we all know that the p-in-ζ function is an example of the p-in-l function, which embodies the analytic properties of the corresponding number field, and the work of coates-wiles and an in the apparent reciprocal law shows that the above polynomial and ch(e/c) are only a fixed polynomial."

"Do you say that if you choose a suitable Garrod domain as a finite commutative group, can you equate an algebraic object with a p-forward parse object?"

On the side, Tao Zhexuan, who was sitting seriously and listening, suddenly came over and asked in a low voice.

Xu Chuan frowned and asked, "The main conjecture of Iwasawa's theory?" ”

Tao Zhexuan nodded and said, "Well, I was just a little inspired by listening to Professor Schultz explain his similarly complete space theory, maybe it's worth trying, what do you think?" ”

Hearing this, Xu Chuan frowned, and after thinking for a while, he said: "Considering the system composed of the group ring zp[gn], due to the natural limit mapping between gn and gn?1, this system also has a projective limit Λ, in fact, Λ is isomorphic to the power series ring zp[[t]] with zp as the coefficient, it is called Iwasawa algebra ......"

"Back to the case of the split zp expansion. The ideal group of kn is a finite commutative group, and the p part of the group is an. On the one hand, since it is a group of order p, it has the role of zp; On the other hand, the Garois group of kn/k acts on it, so an is the finite mode of the ring zp[gn]. Since there is a natural mapping from kn+1 to kn, we can get the natural mapping from an+1 to an......"

From ch(a) = ch(e/c). Whereas, a rounding unit is essentially an analytical object. ”

"From this point of view, it is difficult to use a suitable Garrod domain as a finite commutative group, and then equate algebra and p-incitory."

Hearing this, Tao Zhexuan fell into deep thought, and only said after a while: "But the limited expansion of domain groups should be able to solve this problem, which can be solved by using Professor Schultz's similarly complete space theory, which can simplify the arithmetic problem on the local domain into a specific feature and a combination of feature domains......"

Xu Chuan shrugged his shoulders and said, "I'm sorry, I don't know about this, I'm not familiar with Professor Schultz's 'p·s entry - geometric theory', otherwise I wouldn't be sitting here today to study." ”

He is really not familiar with this aspect, p·s into the field - geometry theory is algebra and geometry things, and p into the number is pure number theory, he basically didn't know much in his previous life, just said these things are still some knowledge when he learned some domain expansion before the New Year.

Hearing this, Tao Zhexuan suddenly woke up: "Oh, I almost forgot that you are only a freshman this year, and Professor Schultz's similarly complete space theory is indeed a bit difficult for college students to understand. ”

"But I was really surprised by your knowledge, I didn't expect you to have such a deep understanding of group rings and finite domains, in addition to spectral asymptotic and fractal boundary connected regions."

"Are you really a college student still in undergrad? Maybe you can try to dig deeper into this in the future. ”

Xu Chuan smiled and said, "I'm doing this." ”

Hearing this, Tao Zhexuan sighed: "It seems that in the near future, we will usher in a new star in the field of mathematics. ”

After a pause, Tao Zhexuan continued: "Xu, why don't you come to the University of California to study for a doctorate?" I have some ideas on my side regarding the main conjecture of Iwasawa's theory, and if you are interested, we can solve this problem together. ”

"I need someone to help with this aspect of the group, you're a good fit, and we're communicative and pleasant, aren't we?"

On the side, a mathematics professor from Argentina looked at Tao Zhexuan and Xu Chuan with a confused expression.

wtf？

What are these two talking about?

Obviously, the math professor listened to the conversation the whole time.

But unfortunately, he didn't understand a word.

Well, I can't say the same, he understands the key words of group domain, Garowa domain, and Iwasawa theory.

It's a pity that he doesn't know what these two people are talking about.

He didn't know Xu Chuan, but he knew Professor Tao Zhexuan.

At first, he thought that this was a student led by Professor Tao, and he was glad that he could sit next to the famous Professor Tao, and was going to ask Professor Tao for advice after listening to Professor Schultz's report.

But as time passed, he was confused when the two communicated.

This young man doesn't seem to be a student of Professor Tao.

When did a new person in the mathematics community emerge who could speak freely with Professor Tao like this?

He hadn't heard of it.

In addition, Professor Tao personally invited the past to study for a Ph.D. and invited him to participate in the scientific research project of Iwasawa Theory, which was .......

FK, he's so envious, it's like sitting on a high lemon mountain, so sour!

.......。