Bombieri, himself is an expert in the distribution of prime numbers.
As mentioned before, the θ of the prime number distribution level is less than one-half, which was discovered by him in the last century, so he has always been very concerned about research in this area.
And now what Xiao Yi has shown, there is undoubtedly a great opportunity to achieve a breakthrough in this.
After hearing Bombieri's question, Xiao Yi gave up the idea of saying hello and thought about the question for a moment, and then he answered.
"Using the relationship between Far Abelian Geometry and etale homology, we introduce Weil conjectures proved by Professor Deligne. The next step is to further move from the ellipse to the sieve method. To solve this problem, we inevitably use the sieve method, which has always had a very critical effect on the prime number distribution problem."
"This is the next direction I can think of for the time being."
"The specific details may need to wait until I further complete the project before I can give more in-depth ideas."
Finally, Xiao Yi said slightly apologetically.
"That's enough, that's enough."
Bombieri murmured while looking at the derivation processes on the blackboard.
In the end, he calmed down and said solemnly to Xiao Yi: "Your ideas have surpassed most people in this field. At least, just by combining Far Abelian Geometry and Automorphic Forms, you have achieved an unprecedented innovation."
"Perhaps, you can really realize the dream of our number theory community and increase the value of θ of Elliott-Halberstam conjecture to the most extreme level."
Next to them, the other three Fields Medal winners, after hearing Bombieri's words, couldn't help but nodded and expressed their approval.
Indeed, they have never seen anyone achieve this level of success on this issue before, let alone combine it with Far Abelian Geometry.
The 17-year-old boy in front of him has far more talent in mathematics than he had shown before.
If what Xiao Yi showed at the seminar yesterday was his keen insight into mathematical theories, then what he shows now is his real mathematical academic research ability.
Both of these abilities are crucial to mathematics.
However, at this moment, Bombieri suddenly sighed, shook his head and said, "It's just that, unfortunately..."
He stopped mid-sentence.
Schultz and Xiao Yi didn't say anything, but Faltings and Deligne next to them glared at them.
Faltings said rudely, "Don't speak half-heartedly, you are too old."
"Okay, okay, I said." Bombieri shrugged and replied, "Unfortunately, there are not many people in the mathematical community studying distant Abelian sets. If Xiao Yi's idea is really completed, I'm afraid many people will have to start learning Far Abelian Geometry."
Several people suddenly realized it, and then they all laughed.
This is of course a very normal thing.
If the theory of Xiao Yi is really completed, the fields in which Far Abelian Geometry can be applied will immediately expand. By then, it is estimated that it will directly become a popular subject in the mathematics world, and it will definitely attract many people to study it.
Just like the seemingly complete space created by Schultz's doctoral thesis, because of its great role, many mathematics scholars immediately began to study it as soon as it was published.
Although it is difficult, if you can't stand it, it will yield results!
No matter what kind of science it is, be it mathematics, physics or biochemistry, anything that can produce results is a good thing.
"Xiao Yi, our mathematical community is waiting for your good news."
Schultz patted Xiao Yi on the shoulder and teased with a smile.
Xiao Yi suddenly felt ashamed. Looking at the expressions of these people, it seemed that it was a certainty that he would get this thing out.
In fact, he still knows very well how far he is from solving this problem.
At least I have to read a lot of papers and books.
However, when he said this, his eyes lit up again. These four Fields Medal winners in front of him must be able to provide him with a lot of advice, right?
He then said, "This... professors should also know that there is still a long way to go before we can truly solve this problem."
"I plan to start research after I get back. Maybe some professors can provide me with some papers worth reading, or books or something?"
"Well..."
The four big guys all began to think that they might not be able to provide much help to Xiao Yi in terms of research, but in terms of providing recommended readings, they were embarrassed to say that they had nothing to recommend.
Soon, Bombieri clapped his hands. "By the way, didn't James·Maynard publish three papers this year? He has already raised the θ value to 0.6!"
"Those three papers of his are well worth reading."
When he heard this name, Faltings raised his eyebrows, "James·Maynard? This young man is indeed very good. He seems to be only 32 years old this year, right?"
"Yes, I heard that he has a chance to win Fields Medal in the next International Congress of Mathematicians." Bombieri nodded.
Schultz also said at this time, "His three papers this year are really good, Xiao Yi, you really should take a look."
Xiao Yi nodded and said, "I understand, thank you professor for the recommendation."
He had indeed heard of this mathematician. In fact, he mentioned it at the beginning. Terence Tao and this Maynard jointly improved Zhang Yitang's method, and finally reduced the prime number difference to the number 246.
"Well, there are some other things worth seeing. I will sort them out for you later." Bombieri said.
The other three big guys also said that they would help Xiao Yi find some relevant information after returning.
"Okay, then we can wait for the good news from Xiao Yi." Faltings smiled and patted Xiao Yi, then he turned to look at Deligne and Bombieri: "So, you came to me, what's the matter?"
"Can't we talk to you about old times?" Deligne shook his head, "Forget it, I guess you're not the kind of person who likes to talk about old times, so just tell me."
"Princeton Mathematical Conference after Christmas, are you going?"
"There's nothing interesting." Faltings shook his head, "If I don't go, I won't be able to withstand such a long flight at my age."
Deligne and Bombieri glared at him angrily, as if they were not on a plane when they came over.
"Forget it if I don't go."
Deligne shook his head, and then he turned his head and glanced at Xiao Yi. After thinking for a moment, he suddenly asked, "So, Xiao Yi, are you interested in making a report or something?"
"Me?"
Xiao Yi pointed at himself, with a surprised look on his face.
"Yes." Deligne nodded and said, "If you can complete your idea before then, your report will definitely become the most outstanding report of our conference."
"Even if it is not completed, if you tell the people here about your ideas and progress, it will definitely bring a huge surprise to the mathematics community."
"How?"
"This..."
Xiao Yi started thinking.
And at this time, Faltings, who had just said that he couldn't stand the torment of the plane, spoke, "If Xiao Yi goes, then I will go. What Xiao Yi has to say will definitely be interesting."
"Then I'll go too." Schultz added.
Then, Xiao Yi found that the eyes of the four Philippine Award winners were focused on him.
He immediately couldn't laugh or cry.
No, you two big guys, one in his sixties and the other in his thirties, why are you still playing this "I'll go if you go" trick!
[Please recommend votes and monthly passes!! T0T]