Scholar’s Advanced Technological System

In early April, a major event happened in mathematics. Fiction.

A paper published in the latest issue of the "Mathematics Annual" announced the solution of Kakutani's conjecture.

The so-called Kakutani conjecture is to write a natural number arbitrarily. If it is an odd number, the next step becomes 3n + 1. If it is an even number, the next step becomes n / 2. After a limited number of cycles, it will inevitably fall to the bottom of [4, 2, 1].

This number game was all the rage in North America in the 1980s.

Prior to this, some people have used supercomputing to test natural numbers below 1.100 billion, and determined that no matter how much the number swells during the period, the curse of "421" cannot be rid of.

Because of this magical property, this conjecture is also called "the hail conjecture", because the falling of numbers is as fast and unstoppable as hail.

Now, the paper by Willa et al. Gave a certain proof of this proposition in mathematical language.

That is, the Kakutani conjecture is true.

Once this paper was published, it attracted widespread attention.

What surprised the outside world was not only the proof of Kakutani's conjecture, but also that the main author of this thesis was a student of Lu Zhou.

By convention, the proof of such a major mathematical conjecture can often not be accomplished in a single paper. In addition to the accreditation of authoritative journals, the prover also needs to be approved by the entire mathematical community.

Under normal circumstances, Princeton should arrange a report meeting for Willa and others to report relevant research results and answer questions from scholars in the same field.

But just in time for August, which is the biennial International Congress of Mathematicians, this report was done by the more authoritative International Federation of Mathematicians.

In the second week after the dissertation was published, Professor Peter Sanak, a tenured professor of Princeton and editor-in-chief of the Annals of Mathematics, found Lu Zhou and brought an invitation from the International Federation of Mathematicians.

Few people receive two invitations at the same international conference of mathematicians.

Not at least in Sanak's impression.

"... Professor Viana, chairman of the organizing committee of the imu conference, sent me an e-mail, hoping that I would forward this written letter to you. Kakutani guessed that this proof of a major mathematical conjecture should be known by more people. Just a chance Rarely, the International Mathematician Conference is coming right away. They specially arranged a 45-minute report for you. Will there be time on your side? "

Looking at Professor Sanak, Lu Zhou shook his head and said, "I have already had an hour-long report, and I've been very busy lately, I'm afraid I don't have time to prepare for the second report."

Sanak raised an eyebrow: "About the ns equation?"

The "ns" research group formally applied for a topic at the Advanced Research Institute. It is not a secret in Princeton that the cooperation between Lu Zhou and Professor Fefferman is in Princeton.

It just surprised Suanaq that this topic was opened at the end of the previous year, and it is even less than a year now.

Obviously, he did not think that Lu Zhou and Fefferman could complete the proof of that millennial problem in such a short time.

However, Lu Zhou's answer was beyond his expectations.

Lu Zhou nodded: "Yes."

Hearing this unexpected answer, Professor Sanak's face showed a surprised expression: "Are you so confident that you can solve it before August? Will it be too short?"

Lu Zhou smiled, and continued to answer the question easily.

"When a tool is completed, it is only a matter of time before it fulfills its mission. I have this premonition, you should know this feeling."

Professor Sanak frowned slightly, then immediately responded.

"Is the tool you are talking about the paper on the" l-manifold "that you recently contributed to the" Mathematics Annual "?"

Lu Zhou nodded with a smile: "Exactly, in my opinion, it is the key to solving the ns equation."

Hearing this affirmative answer, Professor Sanek was filled with emotion.

He had heard of the paper before, because it caused a lot of controversy in the editorial department of the "Mathematics Yearbook".

Although the novelty of this particular differential manifold is unquestionable, many academic editors don't see what it means, or how useful it is.

Sanak couldn't see it, even if he didn't know anything about partial differentials.

But in the end, he still accepted Lu Zhou's manuscript and arranged it to enter the peer review process.

It now seems that his decision was really a visionary ...

...

After saying goodbye to Professor Sanak, Lu Zhou took the invitation letter of the IMU Conference and went to the office of the Institute of Advanced Education to convene his three doctoral students together for an internal meeting.

"I have an invitation letter for the 45-minute report of the International Conference of Mathematicians. Although the organizer invited me to make a related report, I feel that you need this opportunity more than me."

After a pause, Lu Zhou's eyes stopped for a while on the faces of the three students, and then he continued.

"Conventionally, the report will be reported by the main paper writer. I would recommend Willa as the reporter to the International Federation of Mathematicians. What's your opinion?"

Qin Yue: "Agree!"

Hardy: "Secondary!"

The vote was passed with an overwhelming advantage.

Looking at the two students raising their hands, Lu Zhou nodded his head and said happily, "It seems we have reached a consensus."

Seeing that she was sold by two teammates for a moment, Vera was anxious: "Wait a minute, I ..."

Hardy grinned and said, "You don't have to be modest. The main part of the paper is done by you. Naturally, this report should be left to you."

Glancing at Lu Zhou a little in distress, Vera's voice became stuttered because of tension: "But I have never made a report at the imu conference ... I haven't even participated at all."

"It's nothing. I'm participating for the first time, even the first time to go to Brazil. I'm afraid Hadi will be a guide at that time," Lu Zhou smiled, saying in an encouraging tone. "Your report at Berkeley Wouldn't it be great? I remember that you also got the certificate of the best young speaker. You just need to remember that you can play normally on the stage. "

Hearing Lu Zhou's encouragement ~ www.readwn.com ~ Weila became a little calmer, but the nervous expression on her face still did not completely ease down.

Looking at Willa's uncle, sometimes Lu Zhou couldn't help but wonder, was she really a Slav?

Although he didn't understand deeply what other Slavs look like, according to the impressions he got in various movies, how could he not match the words timid and afraid to match the word Maozi.

After a pause, Lu Zhou continued, "In short, don't take it too seriously, just treat it as an ordinary report. Let alone you have four months to prepare slowly."

Holding her fingers around the corner, Willa whispered, "Can you help me?"

Lu Zhou shook his head: "I'm afraid not this time."

Looking at the slightly lost expression on Vera's face, Lu Zhou paused for a moment and continued.

"After today, I will continue to retreat. At this report, you can only rely on yourself."