Chapter 430 Report on the Kakutani Conjecture

Although he was drunk at noon, thanks to his powerful metabolism, Lu Zhou finally caught up with the evening banquet.

As one of the protagonists at the opening ceremony of this conference, if even he is absent, this dinner will be meaningless...

The banquet lasted from 6 o'clock to 8 o'clock in the evening. Later, under the suggestion of Fefferman, who had not yet had fun, several professors in Princeton used the Brazilian specialty chocolate beans distributed at the banquet as chips to gather two tables of bridge.

Because it sounded very interesting, Lu Zhou also participated in it. Although he almost lost all his chips at the beginning because he was not familiar with the rules, but after he became familiar with the rules, he soon started the "big kill special kill" mode.

I have to say that playing cards with mathematicians is a very interesting thing.

It was also at the poker table that Lu Zhou heard from Fefferman that, apart from himself, they were all members of the Bridge Club of the Princeton Institute for Advanced Study.

Before that, Lu Zhou, who had lived in the Institute for Advanced Study in Princeton for so long, didn't even know that there was such an interesting club near him.

While shuffling the cards, Professor Feynman said: "If you are interested in bridge, you can join our club, unless there is a special arrangement, every afternoon tea time from 2 to 3 in the No. You can always get a poker table together in the event room."

Lu Zhou: "But I'm already an advisor to the Drone Club."

"It doesn't matter, it doesn't matter how many people you join in the club." Professor Fefferman, who is very popular in Princeton, smiled and said in a humorous tone, "If I remember correctly, I got at least twenty Honorary member of the club."

Hearing what Professor Fefferman said, Lu Zhou always felt that he was also a Fields Medal winner, and he seemed to have missed a lot of interesting things...

Playing like this until twelve o'clock, until the chocolate beans filled his pockets, Lu Zhou suddenly remembered that there was a 45-minute report that he couldn't miss tomorrow morning, so he left the poker table full of satisfaction.

Back to the room to rest for the night.

The next morning, with two dark circles under his eyes, Lu Zhou came out of the room yawning after washing up.

Taking the elevator downstairs, in the corridor to the restaurant, I happened to meet Molina who was also walking to the restaurant, so Lu Zhou greeted her casually.

"morning."

"Morning," Molina raised her eyebrows when she saw the bags under the eyes of Lu Zhou, and said in a teasing tone, "Did you stay up late last night?"

"No, I'm just a little tired..." Lu Zhou couldn't help but yawned and said casually.

At this moment, Vera, who had just finished her breakfast, came out of the dining room and ran into the two of them.

Looking at Lu Zhou, the little girl smiled and greeted him politely.

"Good morning, Professor."

"Morning," Lu Zhou smiled, and said in an encouraging tone, "Come on later!"

"Yeah!" Nodding vigorously, Vera couldn't hold back in the end and yawned.

Although she went back to her room early last night and went to sleep, she was so nervous that she couldn't sleep when she thought that she was going to be on the international stage of the International Congress of Mathematicians.

In this way, she stayed up until three o'clock in the morning before she couldn't hold back the sleepiness and fell asleep.

Now she just felt dizzy all over, as if she could fall asleep standing up.

Glancing at Vera who was yawning and passing them by, Molina looked at Lu Zhou with a strange expression.

"...Honestly, what did you do last night?"

Hearing this inexplicable question, Lu Zhou was stunned: "What did you do?"

Opening her mouth, Molina seemed to be planning to say something, but suddenly she shook her head and said, "...Forget it, I didn't see anything, so I didn't ask anything."

Lu Zhou: ...?

Looking at her tangled face, as if it took a lot of effort to make a choice between a sense of justice and friendship, he always felt that she had misunderstood something...

...

Vera's lecture will be at ten o'clock in the morning, in the subject group of analytic number theory.

Before that, there were still two hours. Of course, Lu Zhou didn't intend to waste it like this, so he wandered around the conference site.

Walking around, I stumbled upon the subject grouping of algebraic geometry without knowing it.

When he walked into the lecture hall, it happened to be his acquaintance, Professor Peter Schultz, who was giving a one-hour report on the stage.

After becoming interested in the title on the whiteboard, Lu Zhou found a seat in the back row of the venue and listened with interest.

To put it simply, the content of Schultz's report is based on the "quasi-perfect space theory" he created, which solves some problems about Galois representation in the Langlands program, many of which are closely related to the BSD conjecture.

Lu Zhou had a simple understanding of his "PS theory" before, so he didn't feel too difficult to understand what he said like other scholars.

After listening to Schultz's report, Lu Zhou went to the subject group of partial differential equations, but he didn't see any interesting report content.

It is said that someone had previously applied for a research report on the properties of the solution of the three-dimensional NS equation, but now this chicken that lays golden eggs has been killed by Lu Zhou. Miscarried unfortunately...

Soon, it was ten o'clock.

The lecture hall of the number theory group was crowded with people.

Lu Zhou found a seat in the back row and sat down, quietly waiting for the start of the report meeting.

With sweaty palms, Vera walked up to the stage nervously.

When they saw the speaker, many people in the venue were surprised at the age of the speaker, but considering that mathematics itself is a young subject, the scholars present were surprised and did not overreact.

Taking a deep breath, thinking of the professor's encouragement to her, Vera patted her face and tried to calm herself down.

"Come on... Vera Puyui, you can do it!"

Whispering to cheer herself up, Vera's eyes changed into a determined look.

Soon, Kakutani's conjecture report will begin.

Although it was a little rusty at first, she soon got the hang of it and her performance became more and more comfortable.

I have to say that she is indeed a girl who is very good at learning, whether it is mathematics or speech.

And her only flaw is just timidity in character.

Sitting under the stage, watching Vera getting better, Lu Zhou nodded approvingly.

As expected of the students he brought out, they did have a bit of his demeanor back then.

Half an hour passed, and the report was gradually coming to an end, but Vera on the stage did not dare to relax in the slightest.

Because the following questioning session is the core part of the whole report meeting.

The first person to ask a question was Professor Helfgott from the Paris Ecole Normale Supérieure, a master of analytic number theory who once proved the weak conjecture of Goldbach's conjecture, and was one of the six reviewers for Lu Zhou's Goldbach's conjecture paper. one.

After getting up, perhaps in order not to put too much pressure on the reporter, Helfgott spoke briefly while looking at the paper with many marks in his hand in a calm voice.

"I noticed that there is a line of expression in line 7 on page 9 that is very interesting. Φ(g) is an open subset of the complex plane f, and each of the largest connected subregions of Φ(g) is a branch of Φ(g)...About How did you come up with this line of expression?"

Not daring to relax, Vera quickly turned to the ninth page of the thesis, and answered quickly and clearly.

"Φ(g) is the set of normal points z0 beyond the whole function g(z). And in Corollary 1.4, line 15, page 7, I proved that the function column {gk(z)}∞/k=1 has a sub-column in Locally consistent convergence to the analytic function S(z) in some neighborhood of point z0..."

After listening to Vera's statement, Helfgott nodded approvingly.

"thanks."

After Helfgott's questions, the questioning session continued.

After all, it is the International Conference of Mathematicians, and the upper limit of the level of scholars sitting here listening to the report is very high, so the questions asked are usually quite good.

Of course, not all questions are so level.

A doctor from the University of Montreal stood up and asked.

"Excuse me, line 13 on page 11, any whole function h(z) makes g(z)=z/2+(1cosπz)(z+1/2)/2+1/π(1/2cosπz)sinπz+h (z)sinπz satisfies: NΦ(g) How is this inference derived?"

Hearing this question, many people in the lecture hall laughed.

Slightly stunned, Vera sighed: "For the content of this part, please refer to the literature [Letherman-S, Schleiche-D, Wood-R. The'3n+1'problem-and-holomorphic-dynamics...], Professor Leatherman has given a complete proof, so I won't repeat it here..."

The person who asked this question obviously didn't read the paper carefully at all.

Realizing that he had asked a stupid question, the man sat back with a flushed face.

Overall, the report will go fairly well.

After the report was over, Vera ran up to Lu Zhou excitedly.

"Professor! I did it... I did it!"

Clenching her fists tightly, her face flushed with excitement.

Looking at the excited little girl, Lu Zhou was also sincerely happy that she could overcome the weakness in his heart.

As a professor, there is nothing more fulfilling than seeing a small sapling that I cultivate grow into a towering tree.

It can be said that for him, this is his biggest gain today.