Chapter 429: Kakutani's Conjecture's Report
Although he was drunk at noon, thanks to his strong metabolic function, Lu Zhou finally caught up with the banquet in the evening.
As one of the protagonists of the opening ceremony of this conference, if even he is absent, this dinner will be meaningless......
The banquet lasted from six o'clock to eight o'clock in the evening, and later, at the suggestion of Fepferman, who had not yet had enough fun, several professors from Princeton used the chocolate chips handed out at the banquet as chips to make two tables of bridge.
Because it sounded interesting, Lu Zhou also participated. Although he almost lost all his chips at first because he was not familiar with the rules, after he was familiar with the rules, he soon started the mode of "big kill".
I have to say that playing cards with mathematicians is a lot of fun.
It was at the poker table that Lu Zhou heard from Peverman that, in addition to himself, they were all members of the Bridge Club of the Institute for Advanced Study in Princeton.
Before that, Lu Zhou, who had lived at 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 day at tea time from 2 to 3 pm, you can always get a table in the No. 1 activity room of the Institute for Advanced Study." ”
Lu Zhou: "But I'm already a consultant of the drone club. ”
"It doesn't matter, it's okay to participate in as many clubs as you like," Professor Feverman, who is well-liked at Princeton, smiled and said in a humorous tone, "If I'm not mistaken, I've got at least twenty honorary members of the club." ”
Hearing Professor Feverman say this, Lu Zhou always felt that he was also a Fields Medal winner, and he seemed to have missed a lot of interesting things......
He played like this until twelve o'clock, until the chocolate chips filled his pockets, and Lu Zhou suddenly remembered that there was a 45-minute report meeting to listen to tomorrow morning, so he left the table unsatisfied.
I went back to my room and rested for the night.
The next morning, Lu Zhou, who had finished washing up with two dark circles under his eyes, came out of the room yawning.
took the elevator downstairs, and in the corridor to the restaurant, he happened to meet Mo Lina, who was also walking towards the restaurant, so Lu Zhou said hello casually.
"Early."
"Morning," seeing the eye bags on Lu Zhou's face, Mo Lina raised her eyebrows and said in a mocking tone, "You stayed up late last night?" ”
"No, it's just a little tired......" couldn't help but yawn, Lu Zhou said casually.
At this moment, Vera, who had just finished breakfast, came out of the restaurant and happened to meet the two.
Looking at Lu Zhou, the little girl smiled on her face and greeted politely.
"Good morning, Professor."
"Morning," Lu Zhou smiled and said in an encouraging tone, "Come on in a while!" ”
"Hmm!" She nodded energetically, but Vera couldn't hold back and yawned.
Although she went back to her room early last night and went to bed, she was so nervous that she couldn't sleep at the thought of being on the international stage of the International Congress of Mathematicians.
She stayed up until three o'clock in the morning, and she couldn't stand the sleepiness and fell asleep.
Now she only felt dizzy, as if she could fall asleep standing up.
Glancing at Vera, who was yawning and passing by them, Molina looked at Lu Zhou with a strange expression.
“…… Honestly, what exactly did you do last night? ”
Hearing this inexplicable question, Lu Zhou was stunned: "What did you do?" ”
Opening her mouth, Molina originally seemed to be planning to say something, but suddenly shook her head and changed her words: "...... Forget it, I didn't see anything, when I didn't ask anything. ”
Lu Zhou: ......?
Looking at her tangled face, as if it had taken 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 presentation will be at 10 a.m. in the subject grouping of analytic number theory.
Before that, there were still two hours left, and of course Lu Zhou didn't plan to waste it like this, so he wandered around the conference site.
Walking around, I unconsciously wandered into the subject grouping of algebraic geometry.
When he walked into the lecture hall, he was speaking on stage for an hour by his acquaintance, Professor Peter Schultz.
Interested in the headline on the whiteboard, Lu Zhou found a seat in the back row of the venue and listened with interest.
To put it simply, Schultz's report is based on his "quasi-perfect space theory", which solves some of the problems in the Langlands program about Galois representations, many of which are closely related to the BSD conjecture.
Lu Zhou had a simple understanding of his "theory" before, so what he said was not too difficult to understand like other scholars.
After listening to Schultz's report, Lu Zhou went to the subject grouping of partial differential equations for a turn, but he didn't see any interesting content in the report.
It is said that someone had previously applied for a research report on the nature of the solution of the three-dimensional NS equation, but now the chicken that can only lay golden eggs has been killed by Lu Zhou, and the paper that was originally qualified to be listed at the International Congress of Mathematicians has unfortunately been aborted......
Soon, it was ten o'clock.
The lecture hall of the number theory group was crowded.
Lu Zhou found a place in the back row and sat down, quietly waiting for the report meeting to begin.
With sweat in her palms, Vera walked to the front of the stage a little nervously.
When they saw this speaker, many people in the room were surprised by the speaker's age, but considering that mathematics itself is a young subject, the scholars present were surprised and did not overreact.
Taking a deep breath and thinking of the professor's encouragement, Vera patted her cheek and tried to calm herself.
"Come on...... Vera Puyouy, you can do it! ”
Whispering to herself, Vera's eyes changed to a determined look.
Soon, Kadotani's conjecture report began.
Although she was a little rusty at first, she soon got the hang of it and became more and more comfortable with it.
I have to say that she is indeed a very good girl, whether it is mathematics or speech.
And her only flaw is only the timidity of her character.
Sitting under the stage, looking at Vera who was getting better, Lu Zhou nodded approvingly.
is worthy of being the student he brought out, and he does have a little bit of his demeanor back then.
Half an hour has passed, and the report will gradually come to an end, but Vera on the stage does not dare to relax in the slightest.
Because the next question session is the core part of the whole report meeting.
The first to ask questions was Professor Helfgot from the Ecole Supérieure de Paris, a master of analytic number theory who proved the weak conjecture of Goldbach's conjecture and one of the six reviewers of Lu Zhou's paper on Goldbach's conjecture.
After getting up, perhaps in order not to put too much pressure on the reporter, Helfgot looked at the paper with many marks in his hand in a voice that did not fluctuate, and spoke briefly.
"I noticed that there is an interesting line on page 9, line 7. Φ(g) is the open subset of the complex plane f, and each of the largest connected subregions of Φ(g) is a branch of Φ(g...... How did you come up with this line of expression? ”
Not daring to slack off, Vera quickly flipped to page nine and replied in a clear and quick manner.
"Φ(g) is the set of the normal point z0 beyond the integer function g(z). And in Corollary 1.4 on page 7, line 15, I prove that the function column {gk(z)}∞/k=1 has a subcolumn that converges locally consistently in some neighborhood of the point z0 to the analytic function S(z)......"
After listening to Vera's statement, Helfgot nodded approvingly.
"Thank you."
After Hurfgot's questioning, the question-and-answer session continued.
After all, it is an international congress of mathematicians, and the level of scholars sitting here to listen to the lectures is very high, so the questions asked are usually quite high-level.
Of course, not all questions are asked at such a high level.
A Ph.D. from the University of Montreal stood up and asked.
"On page 11, line 13, how does the inference that any integer function h(z) such that g(z)=z/2+(1−cosπz)(z+1/2)/2+1/π(1/2−cosπz)sinπz+h(z)sin²πz satisfies :N⊂Φ(g)?"
Hearing this, many people in the lecture hall burst out laughing.
Slightly stunned, Vera sighed: "For the content of this part, please refer to the literature [Letherman-S, Schleiche-D, ood-'3n+1'problem-and-holomorphic-dynamics......], Professor Leeseman has given a complete proof, I will not repeat it here......"
The person who asks this kind of question obviously does not look at the paper carefully at all.
Realizing that he had asked a stupid question, the man sat back with a red face.
Overall, the report will go well.
After the report was over, Vera ran to Lu Zhou with an excited face.
"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 was able to overcome the weakness in her heart.
As a professor, there's nothing more rewarding than watching a small sapling grow into a towering tree.
It can be said that for him, this is his biggest gain today.