2027 passed quietly.
2028 is here as scheduled.
According to the economic summary of the year, many foreign countries have found that their economic conditions have declined slightly this year.
As for the Chinese side, things are getting more and more prosperous.
The effects of nuclear fusion have already begun to take shape after almost a year, 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 directly makes the governments in these areas laugh.
And the more this happens, the more areas that are still building nuclear fusion reactors are looking forward to the day when the reactors are officially completed. Of course, this day is already close. After all, their nuclear fusion reactors have been built for almost a year. Now most of the reactors have basically been completed 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, JNEO Organization has been in a dilemma.
Although JNEO Organization has received a large amount of funding and has conducted a lot of materials research in an attempt to develop a suitable first wall material, at this point, it is really too overwhelming for their scientists.
They even no longer require the development of suitable high-temperature superconductors, such as high-temperature superconductors like HTSC-1. The research on high-temperature superconductor materials is also a huge problem for them.
Therefore, in their design, they still chose the niobium-titanium alloy that they have been using before. It is not impossible to use it anyway.
But no matter what, as long as suitable first wall materials are not produced, they will never succeed.
However, perhaps because their president is about to start canvassing for new candidates for the new election, attention to JNEO has begun to decrease. This can be regarded as a relief to Steven Cawley, the head of JNEO.
However, he can only look forward to the next president in his heart now. He will not express concern about their progress in ten and a half months like the current president.
Fake, even if it's not nuclear fusion, it doesn't take ten days and a half to ask about the progress. If it's nuclear fusion, it's good to have some results in half a year.
He even regards him as a big boss like Oppenheimer. I really think highly of him.
Now he really wants to run away with the bucket and return to his hometown, Great Britain.
But unfortunately, he has now boarded this boat. If he really wants to escape, the FBI will probably have to find him first, and then ask him what his purpose is to infiltrate JNEO Organization and become the leader of this organization.
What can he say then?
Are you saying that your respected Mr. President asked me to infiltrate this organization?
All in all, the resentment in Steven's heart is getting bigger and bigger as he works at JNEO Organization longer and longer.
As for the big event in the mathematics world [The Duel to Prove Riemann Hypothesis], it has gradually calmed down over time. Of course, there are many people who have been paying attention to this matter. At least many people in the mathematics world will pay attention to this matter every now and then, such as whether there is any progress in the proof of Xiao Yi, or whether the many mathematicians on Prime Pioneer Program have any relevant results.
However, as for Xiao Yi, he has never published a new paper since he last published a paper on Elliptic Inverse Analytic Continuation.
On the contrary, Prime Pioneer Program has published many new papers. In their words, Xiao Yi provided them with a lot of help and saved a lot of money by publishing such a paper. There was little time, so as a courtesy, they also decided to publish some of their research processes, and they tried their best to publish one article each, so that everyone could express their gratitude to Xiao Yi for the original paper.
This seems to make them extra 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 it is not certain whether their papers can help Xiao Yi. After all, there are many research directions, and their papers may not necessarily bring much help to Xiao Yi's research direction. In fact, who can know whether Xiao Yi has already produced the results they have now, but he has not published them?
Therefore, these new papers they publish can basically only be regarded as their response to the original paper Xiao Yi.
However, although they know it in their hearts, some media do not think so.
In the eyes of these media, Xiao Yi only published one paper, but their Prime Pioneer Program has published several papers, and they are all the latest research progress, so these media began to ridicule Xiao Yi.
"Prime Pioneer Program has published many articles in succession. Riemann Hypothesis's latest results are full of elegance. Xiao Yi has only published one paper so far, showing a slight decline."
"Prime Pioneer Program will surely become the true pioneer that Riemann Hypothesis proves. 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 praise from many people, especially many people in the United States. Now there are many Americans who hate Xiao Yi, and they all think that Xiao Yi has destroyed their status.
But for everyone in Prime Pioneer Program, they don't think so at all.
"It's nonsense. These news media know nothing about mathematics and yet they dare to express opinions in this regard casually."
In a discussion room at Princeton University Mathematics Department, looking at the news headlines on the Internet, the math experts present could not help but frown and complain.
"A group of monkeys who don't understand mathematics. Apart from chirping, they know nothing about anything else."
"Xiao Yi hasn't published a new paper for a few months. He actually dares to say that someone's talent has disappeared. He really dares to say that!"
"Okay, everyone, we don't need to worry about these news. As Professor Betton said, these are just a group of monkeys who know nothing about mathematics. No matter how much we correct the monkeys' behavior, they will not listen."
Deligne waved his hand at this time, ending the topic for now.
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.
"Riemann Hypothesis, it's really difficult!"
They all couldn't help but express such a 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 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 weird it is, I think everyone can provide some opinions."
"Okay, it's actually a bit difficult." Terence Tao said, spreading his hands.
Deligne waved his hands and said, "Don't worry, is there anything more difficult than Riemann Hypothesis? What's more, there are so many of us here now. Let's brainstorm and maybe we can solve it."
Others also agreed.
Terence Tao Seeing that so many people wanted to hear it, he shrugged his shoulders and said, "Okay, then I will show it to you on the blackboard first."
Then Terence Tao showed the small blackboard behind him in the online conference room, and then began to write on it, and said at the same time, "My idea also came from Xiao Yi back then. In the original paper, his paper gave me a hint, that is, whether we can give Riemann Hypothesis the factors of Galois representation through Elliptic Inverse Analytic Continuation."
"I think it should be possible, so at this time I thought of another thing, Artin Conjecture."
"What we all know is that what Artin Conjecture wants to prove is that for every finite-dimensional complex representation ρ: Gal(K/k)→GL(n, C) should correspond to an automorphic representation π, such that their L-functions are equal: L(s, ρ) = L(s, π)."
"So this means that if we can give Riemann Hypothesis Galois representation the properties, then maybe we will have a good chance of borrowing the conclusions of Artin Conjecture to help us prove 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 the calculation in his mind.
Then he clapped his hands and praised, "Not bad, very good. If we can really prove Artin Conjecture, it will bring us directly to the forefront of proving Riemann Hypothesis!"
At this time, James·Maynard, who were also in the conference room, also exclaimed, "That's right! As long as Artin Conjecture is established, and then we use Elliptic Inverse Analytic Continuation, we can easily complete the most important step of Riemann Hypothesis 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 choice that complicates the problem."
Bombieri smiled at this time and said, "Complexity is not that complicated. At least compared to other current methods that may prove 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 final realization 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?"
Terence Tao 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 drill at this angle, I will most likely not do it. Although I have now discovered that using Elliptic Inverse Analytic Continuation can also assist Artin Conjecture in solving the problem, the difficulty of this problem is still too high."
"In the final analysis, I can think of this based on the inspiration brought to me by combining Elliptic Inverse Analytic Continuation and Galois representation mentioned in the paper of Xiao Yi. Maybe he has thought of this a long time ago, and maybe he is even 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 Conjecture."
Many mathematicians present couldn't help but nodded and expressed their approval.
Anyway, they are absolutely unwilling to try to prove Artin Conjecture.
This cost is too high, especially since proving Artin Conjecture does not mean proving Riemann Hypothesis. At that time, we still have to see in detail what the result of Artin Conjecture's proof is, which is the automorphic representation π that can make the finite-dimensional complex representation 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 that 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 would rather think about whether there is any other way to directly prove 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."
"Okay."
Everyone present nodded and had no objections.
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 Conjecture, you can definitely give it a try, right?
It's a pity that the purpose of their Prime Pioneer Program now is to compete with Xiao Yi to see who can prove Riemann Hypothesis first.
Let it all be said, this kind of thing can obviously only be imagined.