The top student must be diligent

Although she was in a corner, she could still see Xiao Yi's various gestures in the report meeting.

Of course, this was also her first time to attend Xiao Yi's academic report meeting, and it was also her first time to see with her own eyes how great his mathematical achievements were.

That was the style and achievements that made the entire mathematical community fascinated, unprecedented and probably unparalleled.

In addition to cheering for it in her heart, she was deeply proud of it.

This was what attracted her most to him.

…

The applause lasted for a long time, until a long time passed, Xiao Yi waved his hand, indicating that everyone could stop.

"Okay, everyone, stop for a while, stop for a while."

Hearing his words, the audience gradually stopped applauding.

"So, do you have any other questions to ask?"

Xiao Yi asked again.

The whole audience fell silent again.

Is there any more?

If there are still questions now, what kind of questions would they be?

However, this time, after waiting for a full minute, no one raised their hands.

This also means that the mathematics community has completely recognized Xiao Yi's proof.

The Riemann hypothesis has truly become history!

Xiao Yi no longer waited, picked up the microphone, and said with a smile: "In this case, then I think... the Riemann hypothesis will be here and become a monument in the history of mathematics."

"From now on, the mathematics community will have an additional Riemann theorem and many propositions established as a result."

The applause once again rang like thunder, filling the entire lecture hall, and everyone began to cheer for this matter and celebrate this historic moment today.

In the future, in the history of mathematics, it will also be recorded that the Riemann hypothesis was proved on November 1, 2028, and the prover was Xiao Yi.

This time the applause lasted longer than before.

The applause just now was because of the wonderful questions and wonderful answers, and the applause now is truly celebrating today's results.

The mathematicians in the front row all showed sentimental expressions.

This problem that they have been pursuing for who knows how long has finally been solved now.

It's a bit unfortunate that the person who solved it is not me.

However, if I really let myself go, can I really solve it?

This problem is destined to be a problem that can never be answered - of course, it is not necessarily the case. They can also try hard to use other methods in the future to see if they can prove the Riemann hypothesis.

But unfortunately, even if they prove it in the future, they will not be the first prover.

After a few minutes of applause, it stopped again. Next, it was probably time for Xiao Yi to announce the end of this report.

Everyone was also looking forward to the final end of this report and the reaction of the world afterwards.

"Okay, then, I would like to thank you all for coming and attending this seminar for the last time. I hope that this seminar will leave a deep enough impression on you and that you will not be disappointed."

"Of course, before the end, I have another discovery that I want to share with you."

Everyone was stunned, and then the scene, which was originally a little noisy, immediately became quiet. They wanted to know what Xiao Yi had discovered?

"I believe everyone can see that in my proof, a key idea is to connect different types of mathematical objects, such as elliptic curves, Riemann Zeta functions, Galois representations, etc., and use the interaction between them to gain new insights."

"Of course, such ideas also exist in all aspects of mathematics, including the process of Professor Wiles proving Fermat's Last Theorem."

"So, after I completed the proof, through the review of the entire proof process, I realized that there seems to be such a formula that can connect the three mathematical objects."

When he said this, Xiao Yi dragged a small blackboard next to him, and while wiping the content on it, he said: "These three mathematical objects are automorphic representations, L-functions in number theory, and some natural objects in geometry."

"And now, we can give such a relationship. For each automorphic representation ρ, we can construct an L-function L(s, ρ) and a natural object X(ρ) in geometry, so that they satisfy the following relationship——"

[L(s, ρ)= L(s, X(ρ))】

"That is, the L-function of ρ is equal to a natural L-function of X(ρ)."

When the top mathematicians in the front row saw this relationship, they all narrowed their eyes and thought carefully.

Soon, they realized how important this relationship was to the mathematical community.

"If this relationship holds, it will also be a very powerful generalization for the Langlands Program."

"The Langlands Program predicts that every automorphic representation should correspond to a geometric object and a number-theoretic L-function. As for this relationship, it can further predict that there should be a direct equation relationship between this geometric object and the L-function."

“In other words, it can provide a unified perspective that connects the three branches of mathematics, algebra, geometry, and analysis. Through this relationship, we can transform problems in algebra into problems in geometry, such as expressing On the study of transformation into clusters, or problems in analysis, such as the properties of L-functions, etc. "

"I believe this will be more of a relation that promotes the unification of mathematics."

"And I already have a certain degree of confidence that this relationship can be established."

Afterwards, Xiao Yi showed some simple derivation to the mathematicians present about whether this relationship could be established.

Mainly giving some specific examples.

And those mathematicians who could understand fell into further deep thought.

If we look at the examples given by Xiao Yi, it seems that this new relationship is indeed a question worthy of further consideration.

If it can really be proven...

This may not be another Riemann Hypothesis.

Therefore, Xiao Yi proved a Riemann Hypothesis and brought a new Riemann Hypothesis to the mathematical world.

"All in all, that's it. We can see that after some detailed derivation, we can connect some of the objects, but how to extend this connection to the entire field still needs some specific research in the future. At present, It’s probably still a bit complicated to really prove this issue.”

Xiao Yi continued.

"So, I will announce it to the mathematical community as a new conjecture for the time being, and I hope that the mathematical community can achieve a breakthrough on this issue in the future."

Then, he opened his hand and said, "Okay, now, that's all I want to share."

"Mathematics is a completely different direction from other subjects. I hope that every friend here can enjoy such differences in their future research and study of mathematics, and then bring more beauty to mathematics. results.”

"This concludes my report, thank you all."

He opened his hands, bowed deeply, and turned away.

Those in the audience who did not understand his new conjecture immediately applauded.

Those audience members who understood were awakened by the deafening applause after a moment, and then they also applauded again.

Everyone also stood up and watched Xiao Yi leave. Even though his figure had disappeared behind the door into the backstage, the applause still did not stop, as if it was a concert, looking forward to his return. field, and then prove a conjecture for everyone.

Of course, such a thing is naturally impossible to happen.

But no matter what, the Riemann Hypothesis, which is engraved on the top of the crown of mathematics, finally turned into a stroke of history amidst such applause.

Mathematics, on the other hand, is still moving forward until the distant future.

Chapter 295 The world’s amazement

This is the end of a grand gathering of mathematics.

But its influence on the world goes far beyond that.

This report will be broadcast live in its entirety, so what happened during the process was not only seen by the audience at the scene, but also by those who watched the live broadcast.

And these audiences, after witnessing the whole process with their own eyes, couldn't help but applaud together with the audience at the scene, marveling at Xiao Yi's wonderful proof process.

As for the process of answering the questions at the end, everyone was shocked.

This is the God of Mathematics!

The proof of the Riemann Hypothesis is worthy of its status in the mathematical world.

After all, if there is no questioning process in the end, the Riemann Hypothesis will become a theorem, and the thunder will be louder and the rain will be lighter.

Therefore, only such an experience makes people feel more impressed.

Then, a wind called [Riemann’s theorem] began to blow around the world.

On various online social platforms, everyone began to discuss the Riemann Hypothesis and the results of this report meeting.

Even those who do not understand mathematics are willing to join in such discussions and talk about their thoughts and sighs about this matter.

Of course, what was mentioned more was the admiration for Xiao Yi's ability.

How on earth was he able to achieve such amazing attainments in mathematics?

Especially those who watched the live broadcast were astonished by Xiao Yi's answer to Wiles' question. It was a question that required a whole blackboard to answer. In the end, Xiao Yi thought so much. Can you deduce it all in a few minutes?

Even when Xiao Yi was doing the derivation on the blackboard, the number of times he stopped in the middle was basically to explain what he was going to do at this step, what the purpose was, etc. It only took half an hour, including the derivation in the middle. , he didn’t even correct what he had written.

If the proof of the Riemann Hypothesis is something that ordinary audiences like them cannot fully understand yet, but a blackboard derivation proof was given on the spot, it really made them feel Xiao Yi's ability.

Therefore, there is the most discussion on this matter on the Internet.

For example, on YouTube, someone has quickly uploaded a slice of Xiao Yi's half-hour proof process, and in the comment section below, someone has expressed surprise.

[Houlixie, from the time Wiles asked the question to the time he started answering, he only thought about it for a few minutes. Did he answer this question as if it were a test question? ]