"Yes, that's it!"
Far away on Great Britain at the other end of the Eurasian continent, Maynard, who was located in the office of Oxford University, pumped his fist in excitement after seeing the last line of the formula written by Xiao Yi.
Even his face was visibly flushed with excitement.
"He really did it!"
Maynard turned to look at Yu Can next to him and said to him excitedly.
And Yu Can also opened his eyes wide, with a look of disbelief on his face!
"Far Abelian Geometry can still be used like this?! Didn't this thing also play some role in etale's basic group before? No, no... Xiao Yi's idea is completely different from the previous ideas in the mathematics 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, he is also very clear about the mysterious functor proposed by Grothendieck.
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 with his own eyes that this seventeen-year-old young man solved this problem!
Based on this result alone, it would be no problem to publish an article on the four major topics!
incredible!
And Maynard understands 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 this functor can no longer be generally called a mysterious functor in the future. Probably, the mathematical community will call it... Xiao's 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 connect Far Abelian Geometry and Automorphic Forms! This is what is really important!"
Hearing Maynard's words, Yu Can immediately reacted. Before the report began, didn't Maynard tell him that Xiao Yi's report could possibly complete a major event in the mathematics world?
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, he changed the subject before many mathematicians on the scene came to their senses.
"Now, we have clearly understood that there is an equivalence relationship between etale cohomology and crystal cohomology. In addition, don't forget that p-adic Hodge theory also tells us that there are also several cohomology theories that contain similar information."
"Then, according to Weil's theorem——"
Xiao Yi said as 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 in front of the computer screen wanted to think along these formulas, but found that he couldn't keep up with the speed of Xiao Yi.
However, after briefly looking at a few formulas, he immediately knew that Xiao Yi was using the previously mentioned Weil conjectures to realize the complete algebraization of Far Abelian Geometry. In the process, the "Xiao's functor" that he had named played an important tool.
Maynard was so excited that he immediately picked up the scratch paper next to him and recorded what Xiao Yi had written.
Next to him, Yu Can looked at 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 was very likely to win Fields Medal, was seriously writing notes with the teacher.
It's ridiculous, but it seems reasonable, because Xiao Yi on the screen does look 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 hands.
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... This speed of thinking can already be called terrifying, and it also gave Yu Can a deeper understanding of Xiao Yi's genius.
For the two mathematics professors Oxford University, the speed of Xiao Yi writing on the blackboard was already beyond their comprehension, let alone the scholars and students present at the report meeting.
There is no need for those students to say much. Anyway, from the beginning of this report meeting, they felt that they were listening to heavenly scriptures, let alone now.
Xiao Yi The speed of writing on the blackboard almost dazzled them all.
Those mathematical geniuses who came from Beijing University recalled what their class teacher Cao Ping said just now.
Learn Xiao Yi?
Let them learn how to trade!
"What's the point of us coming here?"
Chen Muhua said dullly to Lu Ping next to him.
Lu Ping looked confused. "I don't know."
The scholars sitting in front were a little better. After all, they had experienced a lot of reports that they couldn't understand. But at this time, facing the speed of Xiao Yi's writing on the blackboard, they just wanted to say, "You call this a little faster?"
Only a few mathematicians frowned at what Xiao Yi had written, and gradually realized one thing. This young man was going to do something incredible again...
In this way, such a huge blackboard was finally completely filled with Xiao Yi.
"In the end, we only need to use Kuznetsov Trace Formula to perform an easy-to-understand conversion."
"In this way, we can easily find that the information of an etale basic group can be easily reproduced equivalently in the trace formula. In other words, Far Abelian Geometry will be perfectly connected to Automorphic Forms."
"We have found a bridge connecting Far Abelian Geometry with number theory!"
Putting down the pen in his hand, Xiao Yi turned to face the mathematicians present and gave his final summary.
The entire lecture hall was silent until finally, an academician sitting in the first row stood up. "Can you show us what the effect of connecting the two is?"
Very good compliment.
Xiao Yi glanced at the old man. There was a nameplate on his seat.
Academician Ma Zhiyuan.
"Thank you Academician Ma for your question. I will just give you a simple example now."
Xiao Yi nodded slightly, then turned around and wrote a simple three-line formula in a small blank space at the end of the blackboard.
Ma Zhiyuan Academician's eyes suddenly widened. "Is this... Elliott-Halberstam conjecture?"
"You directly increased the theta value to 0.75?!"
"What?!"
After hearing this news, other mathematicians who were still a little confused suddenly couldn't sit still.
They still don't understand the derivation of Xiao Yi, but Elliott-Halberstam guesses that they know it!
Xiao Yi actually used his achievement to increase the θ value to 0.75 in one go??
However, at this time Xiao Yi smiled and said, "Actually, not only that, I am now convinced that there is a wonderful method that can directly prove the Elliott-Halberstam conjecture."
"But unfortunately, the space here is too small for me to write."
Everyone: "???"