The top student must be diligent.

Chapter 107 Cole Algebra Award! [ Updates Completed]

"Hmm... this ham croissant is delicious!"

The banquet scene of the annual Princeton Mathematics Conference.

Xiao Yi picked up a piece of ham croissant on the plate, tasted it a little, and his eyes suddenly lit up.

Just perform one hand, three mouths and one croissant, it's so delicious.

After the lecture, the banquet was ready. According to Princeton, the banquet here will continue as long as the annual meeting is not over.

It really is Princeton, it is rich and powerful!
At this moment, someone suddenly shouted to him: "Xiao Shen!"

Xiao Yi raised his eyebrows. Chinese?
Turning around, he saw two Chinese faces walking towards him.

The two people were Guo Xiaoming and Wen Chenghua. They came up excitedly and said, "God Xiao, I finally meet you!"

"We finally succeeded in chasing our idol!"

"Hello." Xiao Yi nodded and asked curiously, "Are you here to study abroad at Princeton University?"

Guo Xiaoming said: "I am not, but this guy is, his name is Wen Chenghua, he is studying for a doctorate at Princeton, his advisor is Andrei Okunkov, a Fields Medal winner."

Xiao Yi thought about it for a while, and then his eyes lit up: "Oh! I remember that Professor Okunkov sent me an email before, specifically mentioning this matter!"

"What? My supervisor sent you an email?" Wen Chenghua was immediately surprised.

"Yes." Xiao Yi nodded, picked up the milk next to him and took a sip. The croissant he had just eaten immediately became softer and more in line with his taste.

After eating, he continued, "Professor Okunkov mainly thanked me for my Etale algebraic cluster automorphism theory on your behalf. He said that you encountered a big problem in the topic of your graduation thesis and couldn't figure it out. He was also a little anxious. Now the problem should be solved, right?"

Wen Chenghua was immediately moved. He didn't expect that although Professor Okunkov was usually very irritable, he still cared about them very much behind the scenes.

He nodded and said, "Yes! The paper has been completed and published on arxiv. The title is "On the Observability of Galvaro Representations and the Tate Conjecture". It is expected to be submitted to Duke."

After hearing about this paper, Xiao Yi was stunned, then he clapped his hands and said, "I remember that I read your paper last month! It's very well written!"

Last month, because he had completed the proof of the twin prime conjecture, he had nothing to do, so in order to relax, he just searched the Internet for some papers to read.

He happened to have read this paper, after all, it used his Etale algebraic variety self-morphism theory and also involved the Tate conjecture.

The Tate conjecture is considered one of the seven great mathematical problems of the millennium. The arithmetic simulation of the Hodge conjecture also holds an equally important position in the mathematical community and is naturally a mathematical problem that can interest Xiao Yi.

When Wen Chenghua heard this, he was immediately excited, "You have also read my paper?!"

"Ah."

Xiao Yi nodded, and then said: "You used Carlitz representation to separate the polynomials, which was a good step."

"When you have infinite loops, the Carlitz-cyclotomic expansion has infinite branches at a suitable prime number, and you've found a nice case where you've found a branch that has a potential loop and has loops everywhere."

"However, after this step, when you proved the case where p is greater than 0, did you consider replacing K with a finitely separable extension, and then assuming that the geometric monotone group Hg has no nontrivial properties, and S has an Fq rational point S at which X has a good reduction?"

Wen Chenghua was confused when he heard Xiao Yi's words.

who am I?
where am I?
Seeing Wen Chenghua's expression, Xiao Yi thought for a moment and said, "Well... I think I'd better write it down."

Then he put down the milk cup in his hand, took out a pen and a small notepad from his pocket, and began to write on it.

【w: HdR(X)(j)KC=HB(X)(j)QC……】

After a while, the small note paper was filled up, and then he handed it to Wen Chenghua.

Wen Chenghua took it and looked at it. After thinking about it carefully for a while, he suddenly slapped his head.

"Holy crap! Can this method actually solve the problem?"

"Xiao Shen, you are simply my God!"

"This is the part of the whole paper that gives me the most headaches. The defense is in half a month. I have a feeling that the defense committee will definitely point out that my writing here is too crude. You have to be the one to do it!"

Xiao Yi smiled and waved his hand, saying, "It's nothing. In fact, this part of your original text also solves the problem. It's just that it's a bit too rough, just as you said."

Wen Chenghua nodded repeatedly, then pulled Guo Xiaoming beside him and said, "Let's go back to my dormitory first. I want to revise this part!"

Guo Xiaoming, who had just witnessed everything that happened, thought that he had another great material to share on Weibo, and quickly shouted, "Wait! I haven't taken a photo with Xiao Shen yet!"

Wen Chenghua reacted immediately and smiled embarrassedly at Xiao Yi.

Xiao Yi naturally did not refuse and took a photo with the two of them. Then Wen Chenghua pulled away Guo Xiaoming, who was still reluctant to leave.

In the end, Xiao Yi found out that Guo Xiaoming was also a blogger on Weibo with hundreds of thousands of fans.

He took out his cell phone and searched, and then found the blog post that Duan Xiaoming had posted before, which was full of his photos.

"Oh my god, the photo is so handsome?"

I immediately liked it, saved it, and posted it to my own space.

Caption: [Look at me, am I awesome? ]

Ten seconds later, it showed that someone had commented.

Song Ziyang: [Look! gkd, can can need. ]

Xiao Yi's face suddenly turned dark. This little bastard, it should be late at night in China now, but he is still not asleep!

Then he quickly deleted it and reposted: [Look at how handsome I am.] At this moment, a voice came from the side.

"It turns out that our talented young man is also a warm-hearted person."

He looked in the direction of the sound and saw two people walking towards him with smiles on their faces.

He was immediately surprised and said, "Professor Tao, and Professor Maynard."

These two people are Terence Tao and James Maynard.

Maybe it was because he saw the conversation between him and Wen Chenghua just now.

Xiao Yi smiled and said, "Professor Tao is the good guy in the mathematics world, right?"

Terence Tao does have a reputation as a "good guy" in the mathematics community. Basically, as long as you ask him for help or consult something, he will never refuse.

In addition, after Zhang Yitang published his paper on twin primes, Terence Tao launched a project called Polymath to allow everyone to work together to find smaller numbers in order to avoid disputes among scholars in the mathematics community over competing for smaller prime number gaps.

Obviously, these fully reflect Tao's image as a good person.

Finally, Tao Zhexuan also walked up to Xiao Yi, took a good look at him, and finally gave an evaluation: "He is more handsome than me, what a pity."

James Maynard next to him said: "I think I am more handsome."

Xiao Yi was suddenly at a loss whether to laugh or cry.

At this time, Tao Zhexuan extended his hand and said with a smile: "Okay, this is our official meeting. I have wanted to see you for a long time."

Xiao Yi also stretched out his hand and shook hands with this genius known as the Mozart of mathematics.

"I have admired Professor Tao for a long time."

"That's really my luck." Tao nodded.

He didn't waste any words and directly explained his purpose: "Well... Actually, I came to you this time for one thing. Recently, James and I are studying the x^2+1 prime number problem. If we use the parity check classification sieve, we think it is very likely to help us solve this problem."

"But for now, there are still many problems, so I would like to invite you to join our research team. What do you think?"

"The x^2+1 prime number problem?" Xiao Yi pondered, "This problem is as difficult as the twin prime conjecture."

由于在正整数中，形如x^2+1的数要比形如p+2的数少，比如x^2+1的数是【3、5、9、17、33……】这样的，而p+2的数则为【4、5、7、9、13、15……】，前者随着指数爆炸的增长速度，很快就会变大，而后者遇见素数就加2，所以前者的出现频率越来越低，出现素数的概率也就越来越低，想要证明它的难度也就要更低了。

"That's what you said, but..." Tao said with a smile, "You have already proved the twin prime conjecture, why not challenge this problem?"

"Hmm..." Xiao Yi rubbed his chin, and finally nodded and said, "Okay, I am convinced by you now. It just so happens that I have been thinking about what topic to study next."

"Great!"

Tao Zhexuan immediately high-fived Maynard next to him, and then the two of them high-fived Xiao Yi.

At this moment, a voice came from the side, "It seems that I am late."

They looked over and saw Zhang Yitang walking towards them.

"Professor Zhang?"

The three of them were stunned.

Zhang Yitang said helplessly: "I originally wanted to invite Xiao Yi to join my research group, which is the research on the Landau-Siegel zero-point conjecture, but now it seems that I am late."

However, after hearing Zhang Yitang's topic, Xiao Yi asked, "Landau-Siegel zero-point conjecture?"

"Yes." Zhang Yitang nodded.

Xiao Yi thought for a while, then said: "Professor Zhang, to be honest, I am indeed somewhat interested in this issue. If you are willing, I would be happy to join your project."

"Really? That's great!" Zhang Yitang was immediately surprised.

"Huh? Xiao Yi, why are you interested in the zero point conjecture?" Tao Zhexuan next to him asked curiously.

Xiao Yi explained: "Because the zero point conjecture is closely related to the twin prime conjecture I proved, as well as the parity check sorting sieve, decades ago, Brown proved that if Siegel's zero point exists, the twin prime conjecture must be true, and if Siegel's zero point does not exist, then the twin prime conjecture is still a conjecture."

"Last year, Granville proved a situation that if Siegel's zero point exists, then the general upper bound of the sieve interval is the best. I am curious about what will happen if it is proved that Siegel's zero point does not exist."

"I'm very interested."

After hearing Xiao Yi's explanation, they all revealed their original expressions.

Indeed, the Landau-Siegel zero point conjecture has a profound relationship with both the twin prime conjecture and the sieve method. It is normal for Xiao Yi to be interested in this matter.

Most mathematicians are like this. They study whatever problem they are interested in.

What is their purpose?
That's probably just to satisfy this interest.

Now that the decision has been made, they plan to discuss the next steps for cooperation.

But at this moment, they suddenly realized that the atmosphere around them seemed to be becoming a little excited.

At this time, they saw a group of mathematicians coming over and said to Xiao Yi: "Xiao Yi! Congratulations on winning the Cole Algebra Prize!"

Xiao Yi was stunned: "Ah?"

Please give me a monthly ticket!!

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(End of this chapter)