The top student must be diligent

Although the JNEO organization has received a lot of funding and has conducted a lot of material research to try to develop suitable first-wall materials, it is a bit too much for their scientists to do so.

They don't even require the development of suitable high-temperature superconductors, such as HTSC-1. The research of high-temperature superconductor materials is also a huge problem for them.

So in their design, they still chose the niobium-titanium alloy that they had been using before, which is not unusable anyway.

But no matter what, as long as the suitable first-wall material is not developed, they will never succeed.

However, perhaps because their president is going to start canvassing for new candidates for the new election, the attention to JNEO has begun to decrease, which is somewhat relieved for Steven Cowley, the head of JNEO.

However, he can only hope that the next president will not be like the current president, who will pay attention to their progress every ten days or half a month.

Fuck, even if it's not nuclear fusion, there's no point in asking about the progress every ten days or half a month. If it's nuclear fusion, it's good to have some results in half a year.

They even regard him as a big shot like Oppenheimer, which is really too much.

He really wants to run away and return to his hometown, the British Isles.

But unfortunately, he has already boarded this ship. If he really wants to run, the FBI will probably find him first and ask him why he infiltrated the JNEO organization and became the head of this organization.

What can he say then?

Say that your respected president ordered me to infiltrate this organization?

In short, the resentment in Steven's heart is getting bigger and bigger as he works in the JNEO organization for a longer time.

…

As for the major event of [Duel to Prove the Riemann Hypothesis] in the mathematics community, it has gradually calmed down as time goes by. Of course, there are still many people who have been paying attention to this matter. At least many people in the mathematics community will pay attention to this matter every now and then, such as whether Xiao Yi's proof has made any progress, or whether the many mathematicians on the Prime Number Pioneer Project have any related results.

However, Xiao Yi has not published any new papers since he published the last paper on the analysis of elliptic recurves.

On the contrary, the Prime Number Pioneer Project has published many new papers. In their words, Xiao Yi's original paper provided them with a lot of help and saved a lot of time, so they decided to reciprocate and publish some of their research processes, and try to publish one paper each, as a way for everyone to express their gratitude to Xiao Yi for his original paper.

This makes them look particularly generous, but they all know one thing in their hearts, that is, Xiao Yi's paper has indeed brought them a lot of help, but whether their papers can help Xiao Yi is not certain. After all, there are many research directions, and their papers may not necessarily bring much help to Xiao Yi's research direction. Even, who can know whether Xiao Yi has already made these achievements they have made now, but he has not published them?

So they publish these new papers, which can basically only be regarded as their response to Xiao Yi's original paper.

However, although they know it in their hearts, some media don't think so.

In the eyes of these media, Xiao Yi only published a paper, but their Prime Number Pioneer Project has published several papers, and they are all the latest research progress, so these media began to mock Xiao Yi.

"The Prime Number Pioneer Project has published several papers on the latest results of the Riemann hypothesis, and Xiao Yi has only published one paper so far, which is a bit of a decline."

"The Prime Number Pioneer Project will surely become the real pioneer in proving the Riemann hypothesis, and no one can be arrogant."

"Xiao Yi has not published a paper for a long time. Has his talent faded? "

...

These numerous news headlines have attracted a lot of praise, especially from many people in the United States. There are many Americans who hate Xiao Yi now, and they all think that Xiao Yi destroyed their status.

But for everyone in the Prime Number Pioneer Project, they don't think so at all.

"It's really nonsense. These news media don't know anything about mathematics at all, and they dare to express their opinions in this regard casually."

In a discussion room of the Department of Mathematics at Princeton University, looking at the news headlines on the Internet, the mathematics masters present couldn't help but frown and complain.

"A bunch of monkeys who don't understand math, they know nothing except chirping."

"Xiao Yi hasn't published a new paper for a few months, and he dares to say that his talent has disappeared. He really dares to say that!"

"Okay, everyone, there is no need to worry about these news. Just like Professor Beighton said, they are just a bunch of monkeys who know nothing about math. No matter how much we correct the monkeys' behavior, they won't listen."

Deleigne waved his hand at this time, ending the topic temporarily.

He turned around and glanced at the many mathematicians present. In addition, they also used online meetings, so mathematicians in other places could also participate in their discussions online. .

Deligne asked: "Okay, today is our new round of discussion. I want to know, do you have any new ideas on proof now?"

However, after asking, no one present responded for a long time.

"Well, it seems that our discussion today will turn into a temporary chat meeting again."

Deligne spread his hands helplessly and said.

Everyone present shook their heads helplessly.

"The Riemann Hypothesis is really too difficult!"

They all couldn't help but express such emotion.

However, at this moment, Tao Zhexuan in the online conference room said hesitantly: "I don't know whether to say it or not. I have an idea now, but this idea is a bit..."

"What are some?" Deligne said with a smile: "Since it is an idea, you might as well say it. No matter how strange it is, I think everyone can provide some opinions."

"Well, it's actually a bit difficult." Tao Zhexuan spread his hands and said.

Deligne waved his hand and said: "Don't worry, is there anything more difficult than the Riemann Hypothesis? What's more, so many of us are here now. Maybe we can solve it if we brainstorm our ideas."

Others also agreed.

Seeing that so many people wanted to hear it, Terence Tao shrugged his shoulders and said, "Okay, then I will show it to you on the blackboard first."

Tao Zhexuan then showed the small blackboard behind him in the online conference room, and then began to write on it, while saying: "My idea also comes from Xiao Yi's original paper, his This paper gave me a hint, that is, whether we can give the Riemann Hypothesis the factor of Galois representation through elliptical inflection analysis.”

"I think it should be possible, so at this time I thought of another thing, Artin guessed."

“What we all know is that what Artin’s conjecture wants to prove is that for each finite-dimensional complex representation ρ:Gal(K/k)→GL(n, C), it should correspond to an automorphic representation π, such that their L-function equality: L(s, ρ) = L(s, π).”

"So this means that if we can give the Riemann Hypothesis the property of Galois representation, then perhaps we will have a good chance of borrowing the conclusion of Artin's Hypothesis to help us prove the Riemann Hypothesis."

As he showed it, many people present immediately understood what he was thinking.

"I bought it, it's No way."

Many people held their heads and said in disbelief.

Even Deligne said helplessly: "Well, your idea is really a bit sad."

But then, he rubbed his chin and thought about it, and finally said: "But I have to say that your idea is indeed very feasible."

Deligne took a look at Terence Tao's derivation, while also doing calculations in his mind.

Then he clapped his hands and praised: "Not bad, very good. If we can really prove Artin's hypothesis, it will bring us directly to the forefront of proving the Riemann Hypothesis!"

At this time, James Maynard, who was also in the conference room, also exclaimed: "That's right! As long as Artin's conjecture is established, and then we use elliptic inverse analysis, we can easily solve the Riemann hypothesis. The important step is completed directly.”

But then, he shook his head regretfully: "However, this 'easy' premise is another equally complex problem. Perhaps from a certain perspective, this is a way to complicate the problem. choose."

Bombieri smiled at this time and said: "It's not that complex, at least compared to other current methods that may prove the Riemann Hypothesis, this new method can be regarded as one of the very feasible directions. And if it can really be done, the possibility of finally realizing it is quite high.”

"Indeed." Deligne nodded, and then said with a smile: "So, Terence, are you going to try to prove it from this direction now?"

Tao Zhexuan smiled bitterly and said: "I just had an idea that day, and then I thought of such a possibility. However, if I really have to go to this angle, I will most likely not do it. , although now I have found that using elliptical recurvature analysis can also assist in solving Artin’s conjecture, the difficulty of this problem is still too high.”

"In the final analysis, I was able to think of this based on the inspiration brought to me by combining elliptic recurve analysis and Galois representation mentioned in Xiao Yi's paper. Maybe he had thought of it a long time ago. At this point, it’s even possible that he is conducting research from this perspective. I think he is probably the only one in the world who has the confidence to try to prove Artin’s conjecture.”

Many mathematicians present couldn't help but nodded and expressed their approval.

Anyway, they are absolutely unwilling to try to prove Artin's conjecture again.

This cost is too high, especially proving Artin's conjecture does not mean proving Riemann's hypothesis. We still have to look at it in detail. Among the results proved by Artin's conjecture, the finite-dimensional complex representation can be expressed What exactly is the automorphic representation π that is equal to another L function?

If the processing of π is still relatively complicated, God knows how much time it will take to complete the final proof.

So, this is why Maynard said this method complicates the problem again.

However, maybe if Xiao Yi comes, this problem can be solved well. After all, complexity has never seemed to be a problem for Xiao Yi.

For others, there is a direct relationship between complexity and difficulty, but for Xiao Yi, the correlation between the two is not very big.

This is why in Xiao Yi's papers, seemingly complicated processes can always be easily solved.

They are not Xiao Yi, so they are still more willing to think about whether there is any other way to directly prove the Riemann Hypothesis.

"So, does anyone have any ideas next?"

Deligne turned his head and asked everyone present.

At this time no one responded.

Deligne shrugged his shoulders, "Well, it seems that our discussion today is coming to an end. So, I hope everyone can get some new inspiration before the next discussion begins."

"All right."

Everyone present nodded and had no objection.

However, many people are thinking at this time, how great would it be if Xiao Yi could also join their team?

At least, as for the idea of ​​proving Artin's conjecture, it's completely possible to try it, right?

It's a pity that the purpose of their Prime Number Pioneer Project now is to compete with Xiao Yi to see who can prove the Riemann Hypothesis first.

Let it all be said, this kind of thing can obviously only be imagined.

…

Chapter 280 Who is Mingya?

The New Year of 2028 has arrived.

Xiao Yi naturally spent the new year at home.

Now he is not as busy as before. His biggest task at the moment is to prove the Riemann Hypothesis. Even the state has not assigned him any research tasks.

This is mainly because the country also hopes that he can take the lead in proving the Riemann Hypothesis.