After hanging up the phone, Xu Chuan stared at the manuscript paper on the table for a while, then stood up and stretched.
He had been sitting for too long, and now the joints on his body were crackling whenever he moved.
After calling the front desk and asking for a midnight snack to be brought up, Xu Chuan walked into the shower room and took a hot bath to wash away his fatigue.
Senior Brother Lin made this call very timely. Without this call, he would most likely have continued to think of a way to solve this last step.
By then, you may really miss tomorrow’s report meeting.
Although a report is not very important to him, it is still important to him 'now'.
Now he needs this lecture to support his talent and reputation.
After taking a shower and eating something, Xu Chuan went to bed, and before turning off the lights, soft snoring could be heard in the room.
During this sleep, Xu Chuan slept from 11pm to 12pm, a full twelve hours.
However, this recovery of physical strength and mental energy is also quite obvious. The previous fatigue and decadence have been wiped away, and the whole person is full of energy after getting up.
After taking a shower again and tidying himself up, Xu Chuan put on his newly bought suit and tie.
Although the world of mathematics does not pay much attention to things like appearance, Professor Gregory Perelman, who solved the Poincare Conjecture, still wears an afro all day long, but to him, this means more than just
He himself, and the motherland behind him, naturally have to pay attention to his image.
Moreover, as a ‘newcomer’ in the field of mathematics, dressing neatly and respecting the seniors is the minimum.
.......
At two-thirty in the afternoon, after confirming that the time was correct, Xu Chuan walked towards the auditorium of No. 2.
His report will be held there, lasting 30 minutes from 2:45 pm to 3:15 pm.
Being stuck in time, Xu Chuan entered Auditorium No. 2 on time.
In the auditorium, more than half of the seats in the lecture theater were filled with people. It was estimated that there were about two hundred people.
At a glance, Xu Chuan saw the two elders Tao Zhexuan and Zhang Weiping sitting in the front row. They smiled and nodded at him.
In addition, Professor Deligne and Professor Fefferman also came over.
The former is a disciple of the Emperor of Mathematics, Emperor G, and has won a grand slam in mathematics.
The latter is famous for revitalizing the research of classical analysis. He has made major breakthroughs in the fields of real analysis, complex analysis, harmonic analysis, partial differential equations, etc. He is also a Fields Medal winner.
Of course, not all the people who came to participate in the mathematics exchange meeting came. In addition to these people, there were many people in Auditorium No. 1.
Over there is a mathematics professor from Australia giving a report on logarithm theory.
The large-scale mathematics research exchange meeting held by Princeton every year is still very important in the mathematics community, and many people participate in the mathematics society.
However, with so many people, it is impossible for everyone to be interested in mathematical problems in a certain area. Everyone is distracted and looking for their own opportunities.
In fact, Xu Chuan was a little surprised that more than two hundred people could come to listen to his report.
Although the difficulty of the Weyl-berry conjecture is quite high, it is not a mainstream research object in today's mathematics community, and can even be said to be very biased.
In comparison, the number theory taught by the professor next door is a typical hot topic.
The fact that so many people came to listen to the report probably has something to do with his age.
The participant manual contains detailed information about each speaker, from the content of the report to the age of the speaker, all of which are described in detail.
A seventeen-year-old boy solved a world-class mathematical conjecture, which is still very curious.
.......
There was no stage fright. After tidying up his clothes, Xu Chuan walked onto the stage.
At this moment, more than two hundred people on the stage turned their attention to him at the same time. After the staff presiding over the meeting opened the projection screen, the report materials he had previously delivered to Princeton were presented on the projection screen.
After slightly adjusting the headset to a suitable position, Xu Chuan took a deep breath and looked at the curtain beside him, and slowly said:
"First of all, I would like to thank Princeton University for giving me this opportunity, and thank you all for coming from all over the world to listen to me stand here and report on the proof of the weakened form of the Weyl-berry conjecture."
"I think everyone has already read the proof report on the weakened form of the Weyl-berry conjecture. I will not go into details about the tedious proof steps in the paper."
"And in the following time, I will divide it into two parts as usual. The first ten minutes will be my key explanation of the proof idea, and the last twenty minutes will be time for everyone to ask questions."
"Then, let's start now."
After a pause, Xu Chuan looked at the projection screen beside him: "In 1993, two professors, Lapidus and Pomerance, proved that the one-dimensional Weyl-berry conjecture is true, but for the high-dimensional Weyl-berry conjecture, the situation becomes
very complicated....."
...Is there a certain fractal framework such that the boundary?Ω is measurable under this fractal framework, and at the same time, the Weyl-berry conjecture is established under this fractal framework?”
"That is: n(λ)=(2π)?nwn|Ω|nλn/2? ,δμ(δ,?Ω)λδ/2
o(λδ/2),λ→∞,”
This is the latest definition of the Weyl-berry conjecture in mathematics."
"...Suppose Ω? rn is a bounded open set, we consider the following eigenvalue problem of the dirichlet-laplace operator: (p){-△ u=λu, x∈Ω; u|?Ω=
0
Here limk→ ∞λk = ∞, the question we are interested in is which geometric quantities of Ω are spectrally invariant (that is, they are uniquely determined by the spectrum {λi}i∈n). This aspect of the problem depends on studying when k
→ ∞, the asymptotic behavior of the eigenvalue λk. For λ > 0, define..."
"..."
Under the podium, Professor Deligne and Professor Fefferman sat together, staring at the young man on the stage with interest.
"Fefferman, what do you think?" After listening to Xu Chuan's explanation, Professor Deligne smiled and asked Professor Fefferman beside him in a low voice.
"Excellent proof, more inspiring than reading papers. He has a unique understanding of the construction of spectral fractal regions such as the spectral asymptotics of elliptic operators, inverse spectral problems and fractal drum theory. Using Laplace
Using operators to create openings or bridges for disconnected regions is something I have never thought about.”
"Moreover, judging from his report today, he seems to have made some new discoveries, such as the Dirichlet domain he just mentioned to limit the fractal dimension and the spectrum of fractal measures of Ω. This seems to
It can be used for the complete Weyl-berry conjecture, which I am very interested in."
Professor Fefferman, who had a thick beard, stared at the figure on the stage and replied.
On the side, Professor Deligne smiled and said: "It seems that you have also discovered it, so let's look forward to the next question session."