The top student must be diligent

Or is it equivalent to arranging Palestine and Israel together at an international conference?

Finally, Hu Guangde snorted coldly: "Don't worry, what Xiao Yi is going to say later will definitely scare you."

"I don't think you know it yourself!" Liao Huan said with a smack.

Hu Guangde laughed: "Even if I don't know, so what? Xiao Yi can study whatever he wants to study. He is capable of studying any difficult problem in mathematics."

"I just need to believe that what he has come up with must be something you can't do."

"You fucking..." Liao Huan's eyes suddenly widened again, and finally he snorted: "You said it as if you can do it."

"I can't do it, but he is still my student." Hu Guangde said happily without caring.

Liao Huan stopped talking.

Damn, why am I so envious in my heart.

Their school admissions office couldn't have been firmer in its position at the beginning and pulled the kid on the stage into their school?

...

Xiao Yi on the stage didn't know that this page of his PPT had caused so many reactions from the audience.

However, the next part is indeed the most important part of his report.

"Although Professor Mochizuki Shinichi's IUTT theory is wrong, we must know that Professor Mochizuki wants to develop far Abelian geometry and the mathematical ideas he demonstrated in the process are worth learning."

"Professor Mochizuki wants to use far Abelian geometry to solve the ABC conjecture. There is a core idea, which is to apply the former to the field of number theory."

" To briefly explain what far Abelian geometry is, in a very simple sentence, it is to consider how much information about the algebraic cluster itself can be given by the etale fundamental group in algebraic geometry, and to what extent it can determine the isomorphism class of the algebraic cluster itself."

"【Information】, for It is a very important thing for mathematical research. Under different forms of change, sometimes the mathematical information we need will be lost, and sometimes after changing to another form, some information will become clear, and even some new information will appear, which can help us solve some problems. "

"Applying far Abelian geometry to number theory has such an effect."

"But now the question is, how does far Abelian relate to number theory?"

"Then, let us go back to a functor relationship that Grothendieck once proposed decades ago."

The ppt turned the page again, and the new page introduced the mysterious functor that brought infinite inspiration to Xiao Yi.

"For all clusters with good reduction on the p-adic domain, there should be a way to go directly from p-adicétale cohomology to crystal cohomology."

"And Frobenius homomorphism and Hodge filtering, K tensor, the action of Galois group with K are equivalent to Barsotti-Tate group related to X."

"Based on these two premises, let's think about a possibility-"

"What will happen if we introduce a ring Bcris with Gk action, a Frobenius φ, and filter after expanding the scalar from K0 to K?"

Xiao Yi walked to the blackboard again and wrote in the blank space on the right half.

[BcrisK0·HdR(X/K)≌BcrisQp·H(X·K,Qp)]

...

After his simple steps, the scholars with a wider range of knowledge in the audience narrowed their eyes.

Many people may have heard of Grothendieck's mysterious functor, but few people know about it. However, among the many mathematicians present, there are still some who know about it.

The history of research on this mysterious functor has been decades. After all, this thing involves the possibility of unifying the cohomology theory of etale and the cohomology theory of crystal.

Going further, the discovery of the close connection between different cohomologies will be very beneficial to the motivation theory in algebraic geometry, [Motive], which was also created by Grothendieck - to be more precise, this thing is not a theory, but an unproven proposition.

Its purpose is to find a "universal cohomology theory", and cohomology theory is an important tool for algebraic geometry and algebraic topology, so this theory is also of great significance to the mathematical community.

As a possible brick and tile of this "universal cohomology theory", the mysterious functor proposed by Grothendieck has naturally attracted the research of many mathematicians, such as Faltings, who is a mathematician who has been successful in this regard.

However, after decades, the true face of this mysterious functor has not been fully defined.

However, what Xiao Yi wrote now made those mathematicians who could understand it become serious.

Because, now Xiao Yi is conducting a very in-depth analysis of this mysterious functor from the perspective of far Abelian geometry.

Time passed gradually as Xiao Yi narrated.

The blackboard was gradually occupied by Xiao Yi's handwriting until the end——

"So, we successfully proved——"

[BstK0·HdR(X/K)≌BstQp·Het(X*K，Qp)]

Xiao Yi wrote this line of equivalent equations in the blank space at the end of the blackboard.

"So, we finally found the true face of this mysterious functor, (x, -)!"

As he wrote the last line of formula, the eyes of the mathematicians in the audience who understood it widened.

Yes, this is it!

This young man actually did it!

He successfully defined Grothendieck's mysterious functor and revealed its true face!

Chapter 84 The space here is too small for me to write.

"Yes, that's it!"

Far away on the island of Great Britain at the other end of the Eurasian continent, Maynard, who was in his office at Oxford University, pumped his fist in excitement after seeing the last line of formula written by Xiao Yi.

Even his face was visibly flushed with excitement.

"He really did it!"

Maynard turned to look at Yu Can beside him and said to him excitedly.

And Yu Can also opened his eyes wide, with a look of disbelief on his face!

"Can distant Abelian geometry be used like this?! Didn't this thing also play some role in etale's basic group before? No, no, no... Xiao Yi's idea is completely different from the previous ideas in the mathematical world!"

"He blazed a new trail!"

As a faculty member of a world-famous university like Oxford University, even if he is an associate professor and has not yet become a full professor, Yu Can’s ability is not limited, and as a person who studies geometry and topology, the mysterious functor proposed by Grothendieck He knew it too.

But this problem has never been solved even after decades, and Yu Can never thought that he could solve it.

Who would have thought that he was just here to help Professor Maynard watch the live broadcast and was not very interested in Xiao Yi's report, but he witnessed this seventeen-year-old young man solve this problem with his own eyes!

Based on this result alone, it would be no problem to publish an article on the four major topics!

incredible!

Maynard understood the meaning of this mysterious functor better than Yu Can. He clapped his hands and said: "The next step should be based on this mysterious functor... Oh, maybe we can no longer call this functor generally in the future. It is called a mysterious functor. Probably, the mathematical community will call it... Xiao functor? "

"No matter what it is called, the next step will definitely be based on the relationship of this functor, starting from the crystal cohomology of etale's basic group..."

"Really closely connect distant Abelian geometry and automorphic forms! This is what is really important!"

Hearing Maynard's words, Yu Can immediately realized. Before the report began, hadn't Maynard told him that Xiao Yi's report could possibly complete a major event in the world of mathematics?

Closely linking two different theories is definitely a very significant breakthrough for the mathematical community!

Could this Xiao Yi really be able to...?

And just as Maynard guessed, during the live broadcast, after Xiao Yi successfully explained the mysterious functor, the conversation changed before many mathematicians on the scene could recover.

"Now, we have clearly understood that there is an equivalence relationship between etale cohomology and crystal cohomology. In addition, don't forget that the p-adic Hodge theory also tells us that there are also several cohomology theories. There are similarities in the information contained.”

"Then, according to Weil's theorem——"

As Xiao Yi spoke, he picked up the blackboard brush and began to erase all the previous handwriting on the blackboard.

After wiping, he said a little apologetically: "There may be a lot to write next, so I will write a little faster. Please forgive me."

Then, he started writing from the upper left corner.

And, there is no stopping.

[∑[n≤t,P(n)≥tγ]1=(ω(1γ)+ oγ(1))t/γlogt……]

Row after row of formulas kept appearing on the blackboard. Maynard, who was in front of the computer screen, wanted to think along these formulas, but found that he couldn't keep up with Xiao Yi's speed.

However, after briefly looking at a few formulas, he immediately knew that Xiao Yi was using the Weil's theorem mentioned before to achieve a complete algebraization of far Abelian geometry, and in the process, he had already The named "Xiao functor" plays an important role in this.

Maynard was so excited that he immediately picked up the draft paper next to him and wrote down what Xiao Yi had written.

Next to him, Yu Can watched Maynard taking notes, and he couldn't help but feel that they were listening to the online class together, and next to him, Professor Maynard, who is likely to win the Fields Medal, was seriously writing notes with the teacher. Feel.

Ridiculous, but it seems very reasonable, because Xiao Yi on the screen really looks like a skilled teacher. He doesn't even think about it when writing on the blackboard, and he doesn't even hold notes in his hand. thing.

In other words, Xiao Yi was able to figure out the next steps while writing the derivation processes on the blackboard that seemed very complicated even to Yu Can.

Such... the speed of thinking that can already be called terrifying also gave Yu Can a deeper understanding of Xiao Yi's genius.

For the two mathematics professors at Oxford University, Xiao Yi's writing speed was beyond comprehension, let alone the scholars and students present at the lecture.

Needless to say, those students felt like they were listening to a foreign language since the beginning of the lecture, let alone now.

Xiao Yi's speed of writing on the blackboard almost dazzled them.

The math geniuses from Beijing University recalled what their class teacher Cao Ping said just now.

Learn from Xiao Yi?

They are learning from a market trade!

"What's the point of us coming here?"