The Scholar's Grind
Chapter 107

Cole Algebra Prize! Daily Update Complete

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

Princeton Mathematics Annual Conference Banquet Scene.

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

Directly perform one hand, three mouths and one croissant, which is delicious.

After the report meeting, the banquet has been prepared. According to what Princeton said, the banquet here will remain open as long as the annual meeting is not over.

As expected of Princeton, he is indeed very wealthy!

At this moment, someone suddenly shouted to him, "Scholar Xiao!"

Xiao Yi raised his eyebrows, Chinese?

Turning around to look, he saw two Chinese faces walking towards him.

These two people were Guo Xiaoming and Wen Chenghua. They walked up with excitement on their faces and said, "Scholar Xiao, I finally see you!"

"We have succeeded in chasing stars!"

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

Guo Xiaoming said, "I am not, but this guy is. His name is Wen Chenghua, and he is studying for a doctorate at Princeton. His supervisor is Andre Okounkov, the winner of Fields Medal."

Xiao Yi thought for a moment, and then his eyes lit up. "Oh! I remembered that Professor Okounkov sent me an email before, specifically mentioning this matter!"

"What? My tutor also sent you an email?" Wen Chenghua was suddenly surprised.

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

After eating it, he continued, "Professor Okounkov mainly thanked you for my automorphic theory of etale algebraic varieties. He said that you encountered a big trouble on the topic of your graduation thesis and could not solve it. He was also a little anxious. The trouble should be solved now, right?"

Wen Chenghua was immediately moved. Unexpectedly, although Professor Okounkov was usually very irritable, he still cared about them secretly.

He nodded and said, "Yes! The paper has been completed and has been published on arxiv. The title is "About the Observability of Gavarro representation and Tate Conjecture". It is expected to be submitted to duke."

Hearing this paper, Xiao Yi was stunned for a moment, then clapped his hands and said, "I remembered, I read your paper last month! It was very well written!"

Last month, because he had completed the proof of Twin Prime Conjecture, he became idle, so while relaxing, he casually found some papers on the Internet to read.

He happened to have read this paper. After all, his etale algebraic variety automorphic theory was used in it, and it also involved Tate Conjecture.

Tate Conjecture is considered to be one of Millennium Prize Problems. The arithmetic simulation of Hodge Conjecture also plays an important role in the mathematical world. It is naturally a mathematical problem that can interest Xiao Yi.

Wen Chenghua was immediately excited when he heard this, "Have you actually read my paper?!"

"Yeah."

Xiao Yi nodded, and then said, "The step where you used the Carlitz representation to separate the polynomials was very good."

"When you loop infinitely, the Carlitz-cyclotomic expansion has infinitely many branches at a suitable prime, and you find a nice situation where you find a branch that has an underlying loop and loops everywhere."

"However, after this step, when you prove the case where p is greater than 0, have you considered replacing K with a finite separable expansion, and then assuming that the geometric monotonic group Hg does not have non-trivial properties, and S has an Fq rational point S at which point X has a good reduction?"

Hearing Xiao Yi's words, Wen Chenghua looked confused.

who I am?

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 glass in his hand, took out a pen and a small note paper from his pocket, and started writing 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 took a look. After thinking about it carefully for a while, he suddenly slapped his head.

"Holy shit! This is the way to solve this problem?"

"Scholar Xiao, you are simply my god!"

"This is the part that gives me the most headache in the whole thesis. The defense will be held in half a month. I always feel that the defense committee will definitely point out that my writing here is too rough, and it will be you!"

Xiao Yi smiled, waved his hand and said, "It's nothing. In fact, this part of your original article also solved the problem, but it's just like you said, it's a bit too rough."

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

I just witnessed everything that happened in front of me, and I was thinking about another great material to share with Guo Xiaoming on Weibo. I quickly shouted, "Wait! I haven't taken a photo with Scholar Xiao yet!"

Wen Chenghua reacted immediately and immediately smiled sheepishly at Xiao Yi.

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

Xiao Yi finally found out that Guo Xiaoming was still a blogger above Weibo with hundreds of thousands of fans.

He took out his mobile phone and searched, and then found Duan Xiaoming's previous blog posts, which were all his photos.

"I'll go and take the photo of Mustard Handsome?"

Decisively like it, then save it and repost it to your own space.

Caption: [See if I'm a dick or not?]

The result showed that someone commented after ten seconds.

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

Xiao Yi's face suddenly darkened, this little bitch, it must be late at night over there in China, and he's still not sleeping!

Then he quickly deleted it and reposted it: [See if I'm handsome or not.]

At this moment, a voice came from the side.

"It turns out that our young genius is also an enthusiastic person."

He followed the sound and saw two people walking towards him with a smile.

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

These two people are Terence Tao and James·Maynard.

Probably because he saw the scene where he communicated with Wen Chenghua just now.

Xiao Yi smiled and said, "Professor Tao is a good old man in mathematics, right?"

Terence Tao does have a reputation as a "good guy" in the mathematics community. Basically, as long as you go to him for help or advice, he will not refuse.

In addition, after Zhang Yitang published the paper on twin prime numbers, Terence Tao launched a project called polymath to prevent scholars in the mathematical community from arguing over smaller prime number gaps to allow everyone to collaborate to find smaller numbers.

Obviously, these fully reflect the image of Terence Tao as a good person.

Finally, Terence Tao also walked up to Xiao Yi, took a good look at her, and finally made a comment. "You are more handsome than me, which is really a pity."

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

Xiao Yi suddenly couldn't laugh or cry.

At this time Terence Tao stretched out 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 the genius known as Mathematical Mozart.

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

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

He did not waste any nonsense and directly explained the purpose of his visit, "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 Parity Check Classification Sieve is used, we think there is a great possibility 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 group. What do you think?"

"X^2+1 prime number problem?" Xiao Yi thought about it, "This problem is no less difficult than Twin Prime Conjecture."

Because among positive integers, there are fewer numbers in the shape of x^2+1 than numbers in the shape of p+2. For example, the number of x^2+1 is [3, 5, 9, 17, 33...], while the number of p+2 is [4, 5, 7, 9, 13, 15...], the former will soon become larger with the growth rate of the exponential explosion, while the latter will add 2 when it encounters a prime number, so the frequency of the former is getting lower and lower, the probability of prime numbers appearing is getting lower and lower, and the difficulty of proving it will be lower.

"That's what I said, but..." Terence Tao said with a smile, "Twin Prime Conjecture has also been proven by you, why not challenge this problem?"

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

"Great!"

Terence Tao immediately high-fived each other with Maynard next to him, and then the two of them high-fived Xiao Yi.

And at this moment, a voice came from the side, "It seems I'm late."

They looked over and saw Zhang Yitang walking over.

"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 Landau-Siegel-Zero Conjecture, but now it seems that I am too late."

However, after Xiao Yi heard Zhang Yitang's topic, he said, "Landau-Siegel-Zero Conjecture?"

"Yes." Zhang Yitang nodded.

Xiao Yi thought for a while and then said, "Professor Zhang, to tell you the truth, I am indeed somewhat interested in this issue. If you are willing, I will still be happy to join your project."

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

"Huh? Xiao Yi, why are you interested in Zero Conjecture?" Terence Tao next to him asked curiously.

Xiao Yi explained, "Because Zero Conjecture has a great relationship with Twin Prime Conjecture and Parity Check Classification Sieve that I proved. Decades ago, Brown once proved that if the Siegel zero point exists, Twin Prime Conjecture must be true, and if the Siegel zero point does not exist, then Twin Prime Conjecture is still a conjecture."

"Last year, Granville proved another situation, saying that if the Siegel zero point exists, then the general upper bound of the sieve method screening interval is optimal. What I am curious about is, if it is proved that the Siegel zero point does not exist, what will happen to this problem."

"I'm very interested."

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

Indeed, Landau-Siegel-Zero Conjecture has a profound relationship with Twin Prime Conjecture and the screening method. It is normal for Xiao Yi to be interested in this matter.

And most of their mathematicians are like this. They study whatever problem they are interested in.

What is their purpose?

That was probably just to satisfy this interest.

Now that they have made a decision, they plan to discuss the next cooperation matters.

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

At this time, they saw a bunch of mathematicians coming over and said to Xiao Yi, "Xiao Yi! Congratulations on getting Cole Algebra Prize!"

Xiao Yi was suddenly confused. "Huh?"

Please give me a monthly pass!!

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