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Although he was already feeling hungry, Tao Xuanzhi didn't rush to eat. Instead, he made a summary first.

First, we need to establish the fiber bundle decomposition, then decouple the differential operators, then analytically extend the singular point processing, and finally construct the correction term through hyperbolic conformal mapping and modulo form interpolation...

There are three main challenges: identifying modal perturbation terms, constructing homotopy operators, and then building layered decomposition...

The apparent difficulty of this problem lies in the complex calculations, but it's actually not that simple when it's handed over to a computer.

The real challenge lies in whether we have a thorough and unified understanding of the modal number structure.

The final result, after translation, is an email address and a mobile phone [email protected].

What left Tao Xuanzhi speechless was that phone number.

It was Qiao Yu's number, which was almost publicly disclosed.

To be honest, Tao Xuanzhi almost never called that number.

If he needed to contact Qiao Yu, he preferred to dial another private number.

As for this semi-public number, it is usually held by the person who is always with Qiao Yu, and even if they call it, they cannot directly talk to Qiao Yu.

After pursing his lips, Tao Xuanzhi directly sent an email to the address provided, inquiring about the specific time of the report and requesting a summary of the content to be presented.

Both are equally important. The latter, in particular, is why Tao Xuan was so dedicated to solving this problem that he neglected to eat and sleep.

A regular report meeting would be fine, but Qiao Yu's report meeting, especially one that clearly presented new ideas, could be quite difficult to endure if you didn't know what he was going to talk about beforehand.

Even top mathematicians in this era will feel confused when they first encounter a new direction.

There is an old Chinese saying: "A trade is like a mountain to someone outside it."

The same principle applies to mathematics. Even if it's just a matter of different research areas, it's like being separated by a mountain.

This is especially true for research in the more specialized frontier areas of mathematics.

Before Qiao Yu proposed the axiomatic system of generalized modalities, the level of specialization in the frontiers of mathematics was beyond imagination.

For example, in algebraic geometry, a derived category can be divided into more than a dozen sub-directions, and each direction has its own dedicated language.

Even now, Qiao Yu has unified many subcategories by reconstructing space using the generalized modal axiom system.

In particular, the unification of symbols and mathematical language has indeed solved a problem for many mathematicians.

However, within the same major branch, different research directions still focus on vastly different specific issues, use different technologies, and employ different modes of thinking.

To be honest, Tao Xuanzhi is quite confident in this regard.

After all, he is recognized in the mathematics community as one of the mathematicians with the most diverse interests.

He made significant contributions to many areas of mathematical research. However, he remained humble in the face of Qiao Yu's new theory.

It would be best to know the content of the report in advance, within the scope permitted by the rules.

Of course, he could also call Qiao Yu directly.

Tao Xuanzhi also believed that if he asked for it, Qiao Yu wouldn't make things difficult for him.

But Tao Xuanzhi couldn't bear the shame.

We can't say he can't solve that problem, can we?
After sending an email to this qiyue email address, he was just about to go out to get something to eat when the other party replied to him instantly.

Well, it didn't surprise Tao Xuanzhi too much.

This suggests that the other party has likely set up an automatic reply.

For the past period of time, every email sent to this address has received a consistent reply.

So Tao Xuanzhi decided to wait a little longer and casually opened the email.

"Congratulations, Professor Tao, for becoming the second mathematician in the world to solve the mystery in the invitation letter, thus earning your invitation to this conference."

This report meeting will be held at 10:00 AM on Sunday, June 13, 2038 (Beijing Time) at the Yanbei International Mathematical Research Center.

Given that you are the second mathematician in the world to solve the mystery in the invitation, your seat is number two at this conference.

You will also enjoy exclusive services from one of the top ten experts worldwide who can solve the invitation's mystery. These services include, but are not limited to, assistance with booking flights, airport pick-up, and complimentary accommodation and meals during the conference.

If you require the above services, please call the number in the title. July will be happy to provide you with the best service.

Please download the attachments to view the basic information regarding the content to be covered in this presentation.

……

Second in the world?
Tao Xuanzhi suddenly became very curious about who was the first person to solve the problem.

There's no way around it, that's just men's damn competitive spirit.

In an instant, several names popped into Tao Xuanzhi's mind, but he felt that these people might not be as fast as him.

However, considering the time difference, he opened the email five hours after it was sent to him.

Tao Xuanzhi felt he could accept it if the other party saw the letter an hour or two earlier than him.

Of course, this may not be the case.

In short, after reading the letter, Tao Xuanzhi suddenly felt no longer hungry.

He simply picked up his phone, which was lying next to him, and dialed Qiao Yu's semi-public number.

The call was answered quickly, but it wasn't a voice he recognized. Moreover, the voice on the other end sounded excessively young, even childish.

For a moment, Tao Xuanzhi even suspected that it was Qiao Yu's child, who was still in elementary school, who answered the phone.

However, Tao Xuanzhi quickly dismissed the idea.

Although Qiao Yu's actions in some matters were indeed quite unexpected.

But they probably wouldn't treat something this important as child's play.

……

"Hello, dear Professor Tao, I am July, who is in charge of inviting experts to this conference. Do you have any questions about the upcoming conference, or anything you would like to consult?"

Tao Xuanzhi was silent for a moment, then asked curiously, "July? Is that your name? Are you Professor Qiao's new assistant?"

“Yes, Professor Tao. July is my name, and I am also Professor Qiao’s closest work assistant and personal assistant. In a sense, our relationship is like that of father and son.”

One sentence silenced Tao Xuanzhi once again.

An assistant who was like a father to his son...

Tao Xuanzhi suddenly felt that he might not know Qiao Yu very well.

The main problem was that he couldn't understand what kind of assistant would say something like that.

If his assistant were to describe their relationship as that of father and son to outsiders, he would definitely fire that guy without hesitation.

"Hmm, why aren't you saying anything? Do you need our help booking a plane ticket? Or can we help you with your visa application?"

"No, actually I mainly want to know who the first person to solve this problem was."

After calming himself down, Tao Xuanzhi asked directly.

"Due to the confidentiality agreement, I cannot tell you directly without authorization, although it is actually an honor."

The same applies to your information; I will not disclose your information to any third party unless I obtain your permission to archive it.

So would you be willing to authorize me to disclose your information to the public at an appropriate time?

Tao Xuan was speechless...

He wanted to say something more, but then a "drip" sound came from the phone.

This is a notification that was sent to his personal mobile phone from a number.

Not many people know Tao Xuanzhi's private phone number. Almost all of them are close friends or colleagues with outstanding achievements in mathematics.

So Tao Xuanzhi said directly, "I'll think about it. I have to hang up now if the phone rings." "Okay, Professor Tao. You can call this number anytime after you make your decision. Of course, if you have any questions about this report, you can also contact me anytime. Goodbye."

The other end of the phone then hung up politely. Tao Xuanzhi didn't have time to reflect before answering the call.

"Professor Tao, you also received the invitation to Professor Qiao's lecture, right?"

The call was from his colleague at the University of California, Professor Milno.

This person is also a leading figure in the mathematics community, having made significant contributions to differential topology, K-theory, and algebraic number theory.

Later, at his suggestion, I began to explore the axiomatic system of generalized modalities and then studied Cho's algebraic geometry.

The two collaborated on many projects, which gradually brought them closer.

So Tao Xuanzhi didn't hide anything and answered directly, "Yes, I received it."

Milno's second question was, "Did you solve the problem in the attachment?"

Tao Xuanzhi replied, "I just solved it about ten minutes ago."

They didn't mention the fact that it's the world's second-largest economy.

For others, having the second-fastest problem-solving speed in the world would be a great honor. But for Tao Xuanzhi, there's really nothing to brag about.

But this sentence still made the other party silent for a long time before they finally spoke: "Okay, I thought there might be a problem with this question."

Because when I was doing the overall analysis, I felt that the Leray spectral sequence could not form an ech closed chain, so the holomorphism was not valid and I could not get the correct solution.

But since you were able to arrive at the correct answer, it can only mean that there's something wrong with my solution.

Upon hearing Milnor's words, Tao Xuanzhi, who had just finished solving the problem, immediately knew where the other party's mistake lay.

It must be said that many of the conditions in this question are indeed extremely deceptive.

Although the opposing side suggested that mathematicians who could solve the problem should not publish the answer, reminding a colleague is harmless.

So Tao Xuanzhi directly guided the discussion by saying, "When you decouple the differential operator, you can simply eliminate the perturbation term through backpropagation homotopy."

The other side suddenly realized...

"Layer conversion?"

"Okay, remember to define an on-chain mapping."

"I understand, thank you so much, Professor Tao!"

Then the other party hung up the phone.

OK……

At least they said thank you.

Tao Xuan gave a bitter smile.

He somewhat regretted asking Qiao Yu directly on his blog what she had been doing all these years.

This guy really doesn't follow the usual path; he's directly announcing his return in this way...

Isn't this making things difficult for people?!

……

Qiao Yu is innocent...

While he does often indulge in flights of fancy, he certainly wouldn't include a topic in the invitation when deciding to hold a conference.

There's no need for that!

Generally speaking, if about 20% of the attendees can understand his math lectures, that's about right.

After all, he always gives reports in very large settings.

For example, the opening address at the International Congress of Mathematicians.

The main hall of the Centennial Lecture Hall can accommodate more than 2,100 people, and it is enough for about 200 people to understand Qiao Yu's lecture.

As for the rest of us...

After all, this was not just a simple report meeting, but a special report meeting to commemorate the passing of Lotte Dugan.

It would be fitting for everyone to remember this mathematician who provided him with so much help.

Honestly, Qiao Yu never expected that July would pull something like this. It was unprecedented.

So the next day he received a call from Tian Yanzhen...

"Are you holding another briefing?"

"Yes! We even reserved special seats for you and Mr. Yuan."

"No, neither your grandmaster nor I can solve the riddle you left on the invitation! Can you tell me what you're thinking?"

If you want to limit the size of this conference, you can just hold a smaller conference.

You're sending out invitations everywhere, then setting up a hurdle—are you trying to offend everyone before you're happy?

Tian Yanzhen began to criticize directly in a serious tone.

He spoke very bluntly. After all, their relationship was what it was.

Although Qiao Yu could ignore him, Tian Yanzhen wouldn't be as tactful as others when it came to speaking her mind.

He has received several phone calls since yesterday, and everyone has been indirectly suggesting that the questions Qiao Yu included in the invitation might be a little too difficult.

Then Tian Yanzhen also personally studied that question.

Hmm, I couldn't solve it...

Of course, there's nothing shameful about it.

After all, Tian Yanzhen was almost seventy when Qiao Yu proposed the axiomatic system of generalized modalities.

Asking him to master this entire theoretical system in depth is asking too much of him.

By the time this system matured and gave rise to Joel's algebraic geometry, Tian Yanzhen was already seventy-five years old.

Asking a 75-year-old to learn these new things will inevitably be less effective and less efficient.

In particular, previous research experience is not applicable to this completely new system.

However, the complaints from many relatively young Chinese mathematicians finally made Tian Yanzhen unable to sit still, which led to this phone call.

Qiao Yu didn't feel wronged at all.

Although this was not his intention, he made the decision to put July in full charge of sending out the invitations.

Of course, he really didn't expect that such a small matter could be turned into such a wonderful thing in July.

"Um, Director Tian, ​​if I said this wasn't my idea, and I didn't come up with the question, would you believe me?"

Tian Yanzhen sneered, then retorted, "If it wasn't your idea, whose was it? Was it Xiao Zheng's idea?"

Of course, it couldn't have been Zheng Xiwen's idea; there's no way Zheng Xiwen could have come up with that question...

"Don't joke around. This has nothing to do with Uncle Zheng. I asked July to be in charge of sending out the invitations."

As you know, I don't really manage tasks after I hand them over. Of course, I'm not trying to shirk responsibility.

"I was the one who put July in charge of this invitation, so your criticism isn't wrong. It's also my fault for not explaining things clearly to July..."

"Wait, what did you say? You mean, this question was also set by July herself?"

"Hmm..." (End of Chapter)