The top student must be diligent.

Chapter 84: The space here is too small, I can't 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 an office at Oxford University, pumped his fist excitedly after seeing the last line of the formula written by Xiao Yi.

Even his face turned visibly red with excitement.

"He really did it!"

Maynard turned to look at Yu Can next to him and spoke to him excitedly.

Yu Can also opened his eyes wide with an expression of disbelief!

"Can far Abelian geometry be used like this?! Didn't this thing only play a role in the etale fundamental group before? No, no... Xiao Yi's idea is completely different from the previous ideas in the mathematical community!"

“He blazed a new trail!”

As a faculty member of a world-renowned university like Oxford University, even if he is an associate professor and not yet a full professor, Yu Can's abilities are not to be underestimated. Moreover, as a researcher of geometry and topology, he is also very familiar with the mysterious functors proposed by Grothendieck.

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

Who would have thought that he had only come here to help Professor Maynard watch the live broadcast and was not very interested in Xiao Yi's report, but he witnessed with his own eyes that this 17-year-old young man solved the problem!
Based on this achievement alone, it would be no problem to publish one of the four major papers!

incredible!

Maynard understood the significance of this mysterious functor even better than Yu Can. He clapped his hands and said, "Next, it should be based on this mysterious functor... Oh, maybe we can no longer call this functor a mysterious functor in general. Maybe the mathematical community should call it... Xiao's functor?"

"No matter what it is called, the next step is definitely based on the relationship of this functor, starting from the crystal cohomology of the Etale fundamental group..."

"It is really important to make a close connection between tele-Abelian geometry and automorphic forms!"

After hearing Maynard's words, Yu Can immediately reacted. Before the report began, didn't Maynard tell him that Xiao Yi's report had the potential to accomplish a major event in the mathematics world?
Closely linking two different theories is definitely a major breakthrough for the mathematics community!

Could it be that this Xiao Yi can really... ?
And just as Maynard guessed, during the live broadcast, after Xiao Yi successfully explained the mysterious functor, he changed the subject before the many mathematicians present could react.

"Now we have a clear idea that there is an equivalence between etale cohomology and crystal cohomology, and don't forget that p-adic Hodge theory also tells us that there are also several cohomology theories that contain information that is similar."

"Then, according to Weil's theorem—"

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

After he finished, he apologized and said, "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 was 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, sitting in front of the computer screen, wanted to think along with these formulas, but found that he could not keep up with Xiao Yi's speed at all.

However, after taking a quick look at a few formulas, he immediately knew that Xiao Yi was using the Weil theorem mentioned earlier to achieve the complete algebraization of far Abelian geometry, and in the process, the "Xiao Functor" that he had named was playing an important tool.

Maynard was excited and 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 couldn't help feeling that they were listening to an online class together, and Professor Maynard, who had a good chance of winning the Fields Medal, was seriously following the teacher and taking notes.

It's ridiculous, but it seems very reasonable, because Xiao Yi on the screen really looks like a skilled teacher. He doesn't seem to have to think when writing on the blackboard, and he doesn't even have notes in his hands.

In other words, the deduction processes on the blackboard seemed very complicated even to Yu Can, but Xiao Yi was able to think of the next steps while writing them.

Such... it can be called a terrifying speed of thinking, and it also gave Yu Can a deeper understanding of Xiao Yi's genius. For the two mathematics professors at Oxford University, Xiao Yi's speed of writing on the blackboard was already incomprehensible to them, not to mention the scholars and students at the lecture.

There is no need to say much about those students. Since the beginning of the lecture, they felt like they were listening to a mystery, let alone now.

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

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

Learn Xiao Yi?
They are learning how to trade!

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

Chen Muhua said dully to Lupin beside him.

Lupin looked confused: "I don't know."

The scholars sitting in the front were a little better off. After all, they had experienced many reports that they couldn't understand. But at this moment, facing Xiao Yi's speed of writing on the blackboard, they just wanted to say, "You call this a little faster?"

Only a few mathematicians looked at what Xiao Yi had written with frowns on their faces, and gradually realized one thing: this young man was about to do something extraordinary again...

Just like that, this huge blackboard was finally completely filled with Xiao Yi's writing.

"In the end, we just need to use the Kuznetsov trace formula to make a straightforward transformation."

"In this way, we can easily find that the information of an etale fundamental group can be easily reproduced in the trace formula. In other words, far Abelian geometry can be perfectly connected with the automorphic form."

"We have found a bridge between tele-Abelian geometry and number theory!"

Putting down the pen in his hand, Xiao Yi turned to the mathematicians present and gave a final summary.

The entire lecture hall was silent until finally, an academician sitting in the first row stood up and asked, "Can you show us what effect these two things have when connected?"

Very good supporting role.

Xiao Yi glanced at the old man, who had a nameplate on his seat.

Academician Ma Zhiyuan.

"Thank you for your question, Academician Ma. I will just give you a simple example."

Xiao Yi nodded slightly, then he turned around and wrote a simple three-line formula on a small blank space at the back of the blackboard.

Academician Ma Zhiyuan's eyes suddenly widened: "Is this... the Elliott-Halberstam conjecture?"

"You raised the theta value directly to 0.75?!"

"what?!"

Upon hearing the news, the other mathematicians who were still confused could no longer sit still.

They still couldn't understand Xiao Yi's derivation, but they knew the Elliott-Halberstam conjecture!
Xiao Yi actually used his achievement to raise the θ value to 0.75? ?
However, at this time Xiao Yi smiled and said: "In fact, not only that, I am now convinced that there is a wonderful way to directly prove the Elliott-Halberstam conjecture."

"But unfortunately, the space here is too small for me to write."

Everyone: "???"

(End of this chapter)