The top student must be diligent.

Chapter 279 It would be great if Xiao Yi also joined

The year 2027 has passed quietly.

2028 will come as scheduled.

According to the economic summary of the year, many foreign countries have found that their economic conditions have slightly deteriorated this year.

As for China, things are getting more and more prosperous.

After almost a year, the effects of nuclear fusion have begun to show signs, especially the changes in Fei City and several nearby cities. The economic growth rate has even increased by about two times compared to before, which has made the governments of these regions so happy that they are almost grinning.

The more this is the case, the more those regions that are still building nuclear fusion reactors are looking forward to the day when the reactors are officially completed. Of course, that day is approaching. After all, their nuclear fusion reactors have been built for almost a year. Now most of the reactors have basically been built and have entered the final stage.

It won’t be long before nuclear fusion reactors can be commercialized on a large scale in China.

At the same time, the JNEO organization has been in a state of confusion.

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, at this point, it is really too much for their scientists.

They are not even required to develop suitable high-temperature superconductors, such as HTSC-1. The research of high-temperature superconductor materials is also a huge problem for them.

Therefore, in their design, they chose the niobium-titanium alloy that they had been using before, since it 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 about to start campaigning for new candidates in the new election, the attention paid to JNEO has begun to decrease, which has somewhat relieved JNEO's head Steven Cawley.

However, he can only hope that the next president will not be like the current president, who would show concern about 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 would be good enough to have some results in half a year.

Some even regarded him as a big shot like Oppenheimer, which really showed them too much respect for him.

He now really wanted to pack up his bucket and run away, back to his hometown, the British Isles.

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

What can he say then?
It was said that your respected president ordered me to infiltrate this organization?
All in all, Steven's resentment is growing bigger and bigger as he works in the JNEO organization longer and longer.

……

As for the major event in the mathematics community, "The Duel to Prove the Riemann Hypothesis", it has gradually calmed down with the passage of time. 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 his last paper on the analysis of elliptic recurves.

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

This made them seem particularly generous, but they actually knew one thing in their hearts, that is, Xiao Yi's paper had indeed helped them a lot, but whether their papers could help Xiao Yi was uncertain. After all, there were many research directions, and their papers might not necessarily be able to bring much help to Xiao Yi's research direction. In fact, who could know whether Xiao Yi had already produced the results they were producing now, but he just didn't publish them?

Therefore, the publication of these new papers can basically only be regarded as their response to Xiao Yi's original paper.

However, although they know it in their hearts, some media do not think so.

In the eyes of these media, Xiao Yi had only published a paper, but their Prime Number Pioneer Project had already published several papers, and they were 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, while Xiao Yi has only published one paper so far, which seems to be a bit of a decline."

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

"Xiao Yi hasn't 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 believe that it was Xiao Yi who destroyed their status.

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

"This is really nonsense. These news media have no idea about mathematics, yet they dare to make random comments on this."

In a discussion room of the Department of Mathematics at Princeton University, the mathematics experts present could not help but frown and complain when looking at the news headlines on the Internet.

"A bunch of monkeys who don't know math, except for chirping, they don't know anything else."

"Xiao Yi hasn't published any new papers in just a few months, and yet he dares to say that his talent has disappeared. How dare he say that!"

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

At this time, Deligne waved his hand and ended the topic temporarily.

He turned around and glanced at the many mathematicians present. In addition, they also used online conference methods, 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 if you have any new ideas for proof now?"

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

"Well, it looks like our discussion today is going to turn into an impromptu chat meeting again."

Deligne spread his hands helplessly and said.

Everyone present shook their heads helplessly.

"The Riemann hypothesis is so difficult!" They all couldn't help but sigh.

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

"What are they?" Deligne said with a smile, "Since it's an idea, why not speak it out? No matter how strange it is, I think everyone can provide some opinions."

"Well, it's actually a little difficult." Tao Terence spread his hands.

Deligne waved his hand and said, "Don't worry about it. Is there anything more difficult than the Riemann hypothesis? Besides, there are so many of us here now. If we all brainstorm, maybe we can solve it."

Others also expressed their agreement.

Seeing so many people wanting to listen, Tao shrugged and said, "Okay, I'll show you on the blackboard first."

Then, Tao showed the small blackboard behind him in the online conference room, and then began to write on it, saying, "My idea also comes from Xiao Yi's original paper. His paper gave me a hint, that is, whether we can use elliptic inverse analysis to give the Riemann hypothesis the factor of Galois representation."

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

"As we all know, what Artin conjecture is trying to prove is that for every finite-dimensional complex representation ρ:Gal(K/k)→GL(n,C) there should be a corresponding automorphic representation π, so that their L-functions are equal: L(s,ρ)=L(s,π)."

"So this means that if we can give the Riemann hypothesis the properties of the Galois representation, then perhaps we will have a good chance of using the conclusions of the Artin conjecture to help us prove the Riemann hypothesis."

As he presented, many people present immediately understood his idea.

"Oh my god, there is no way."

Many people held their heads and spoke in disbelief.

Even Deligne said helplessly: "Well, your idea is really a bit too 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 looked at Tao's derivation and performed some calculations in his mind.

Then he clapped his hands and praised: "Not bad, very good. If we can really prove the Artin conjecture, 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, exclaimed: "That's right! As long as Artin's conjecture is established, and we use elliptic inverse analysis, we can easily complete the most important step of the Riemann hypothesis."

But then, he also shook his head regretfully: "However, this 'easy' premise is another equally complicated problem. Perhaps from a certain perspective, this is a choice that complicates the problem."

At this time, Bombieri smiled and said, "It's not that complicated. At least compared to other possible methods of proving the Riemann hypothesis, this new method is also a very feasible direction. And if it can really be done, the possibility of it being realized in the end is still quite high."

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

Tao smiled bitterly and said, "I just had a flash of inspiration that day and thought of this possibility, but if I really have to drill down to this angle, I probably won't do it. Although I have found that the use of elliptical anticurve 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 because of the inspiration given to me by Xiao Yi's paper on combining elliptic inverse analysis with Galois representation. Maybe he had already thought of this, or even maybe he was 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 nod their heads in approval.

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

The cost is too high, especially since proving the Artin conjecture does not mean proving the Riemann hypothesis. We still have to look specifically at what the automorphic representation π is in the result of proving the Artin conjecture, which can make the finite-dimensional complex representation equal to another L function.

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

So, that's why Maynard says this approach complicates the problem.

However, perhaps if Xiao Yi were to come, this problem could be solved well. After all, complexity never seemed to be a problem for Xiao Yi.

For others, complexity and difficulty are directly proportional, but for Xiao Yi, the correlation between the two is not very large.

This is also why Xiao Yi is always able to easily handle those seemingly complicated processes in his papers.

They are not Xiao Yi, so they would rather think about whether there are other ways to directly prove the Riemann hypothesis.

"So, does anyone have any ideas for what to do next?"

Deligne turned around and asked everyone present.

No one responded at this time.

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

"Ok."

Everyone present nodded without objection.

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

At least, we can try to prove Artin's conjecture, right?

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

Now that the words have been put out, this kind of thing is obviously nothing more than imagination.

……

(End of this chapter)