Great Country Academician

After hanging up the phone, Xu Chuan stared at the manuscript paper on the table for a while, then stood up and stretched.

He has been sitting for too long, and now his joints are crackling when he moves casually.

After making a phone call to the front desk to have a late-night snack served, Xu Chuan walked into the shower room and took a hot bath to wash away his exhaustion.

Brother Lin made this call in a timely manner. Without this call, there is a high probability that he will continue to struggle to find a way to solve this last step.

At that time, I might 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 report meeting to support his talent and fame.

After taking a shower and eating something, Xu Chuan went to bed, and snoring sounded in the room even before the lights were turned off.

During this sleep, Xu Chuan slept from eleven o'clock in the evening to twelve o'clock in the noon before waking up, a total of twelve hours.

However, the recovery of physical strength and spirit is also quite obvious. The previous exhaustion and depression were swept away, and the whole person was refreshed after waking up.

After taking a shower again and cleaning himself up, Xu Chuan put on his newly bought suit and tie.

Although the mathematics world doesn't pay much attention to appearance, and Professor Gregory Perelman, who solved the "Poincaré Conjecture", still wears an afro all day long, but for him, this means more than just The image of himself and the motherland behind him naturally deserves attention.

And as a 'newcomer' in the mathematics world, the respect for seniors is the minimum to dress neatly.

At 2:30 in the afternoon, after confirming that the time was correct, Xu Chuan walked towards the auditorium on the 2nd.

His report will start there, from 2:45 pm to 3:15 pm, for a period of 30 minutes.

Stuck on time, Xu Chuan entered the No. 2 auditorium on time.

In the auditorium, more than half of the seats in the lecture theater were filled with people, and there were about two hundred people by visual inspection.

At a glance, Xu Chuan saw Tao Zhexuan and Zhang Weiping sitting in the front row, and they smiled and nodded at him.

In addition, Professor Deligne and Professor Fefferman also came over.

The former is a disciple of the Mathematics Emperor G, and has won a grand slam in the mathematics world.

The latter is famous for reviving the research of classical analysis, and has made major breakthroughs in the fields of real analysis, complex analysis, harmonic analysis, partial differential equations, etc., and is also the winner of the Fields Medal.

Of course, not all the people who came to participate in the mathematics exchange meeting came. Apart from these people, there are many others in the No. 1 auditorium.

Over there is a mathematics professor from Australia giving a report on the theory of numbers.

The large-scale mathematics research exchange meeting held by Princeton every year is still very important in the mathematics field, and there are many people participating in the mathematics meeting.

However, with so many people, it is impossible for all of them to be interested in mathematical problems in a certain area, and everyone is scattered to find 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 world, and it can even be said to be very biased.

In comparison, the number theory taught next door is a typical hit.

The fact that so many people came to listen to the report probably has something to do with his age.

There is detailed information about each scholar making a report in the conference handbook, from the content of the report to the age of the speaker, all of which are described in detail.

It is still very curious that a seventeen-year-old boy has solved a world-class mathematical conjecture.

Without stage fright, Xu Chuan walked onto the stage after tidying up his clothes.

At this moment, more than two hundred people on the stage cast their gazes over at the same time. After the staff presiding over the meeting opened the projection screen, the report materials he had previously passed to Princeton were presented on the projection screen.

After slightly adjusting the headset to make it in a suitable position, Xu Chuan took a deep breath, looked at the curtain beside him, and said slowly:

"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 my report on the proof of the weakened form of the Weyl-Berry conjecture."

"I think everyone has read the proof report on the weakened form of the Weyl-Berry conjecture. I will not repeat the cumbersome proof steps in the paper."

"As usual, I will divide the next time into two parts. The first 10 minutes will be my key explanation of the proof idea, and the last 20 minutes will be time for everyone to ask questions."

"Well, let's start now."

After a pause, Xu Chuan looked at the projection screen beside him: "In 1993, two professors, Lapidus-Pomerance, proved that the one-dimensional Weyl-Berry conjecture is valid, but for the high-dimensional Weyl-Berry conjecture, the situation becomes very complicated."

Is there a certain fractal framework, so that the boundary Ω is measurable under this fractal framework, and the Weyl-Berry conjecture is established under this fractal framework? "

"That is: N(λ)=(2π)nωn|Ω|nλn/2 Cn, δ(δ, Ω)λδ/2 +o(λδ/2), λ→+∞,"

This is the latest definition of the Weyl-Berry conjecture in the current mathematics community. "

".Assuming 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 =+∞, what we are interested in is which geometric quantities of Ω are spectrally invariant (that is to say, uniquely determined by the spectrum {λi}i∈N, this aspect depends on studying Asymptotic behavior of eigenvalue λk as k→+∞. For λ\u003e0, define."

"."

Under the podium, Professor Deligne and Professor Fefferman sat together, staring at the teenager on the stage with interest.

"Fefferman, what do you think?" Listening to Xu Chuan's explanation, Professor Deligne smiled and asked Professor Fefferman next to him in a low voice.

"Excellent proof, more inspiring than reading papers. He has a very unique understanding of the spectral asymptotics of elliptic operators, inverse spectral problems and fractal drum theory, etc., in the construction of spectral fractal regions. Using Laplace Operators to make openings or bridges for disconnected regions is something I never thought of."

"Moreover, judging from his report today, he seems to have made some new discoveries, such as the restriction of the fractal dimension and fractal measure spectrum of Ω through the Dirichlet domain he just mentioned, which seems to be It can be used for the complete Weyl-Berry conjecture, which I am very interested in."

Professor Fefferman with a bushy beard stared intently 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 us look forward to the next questioning session."

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