Chapter 327

Xu Qingzhou sat down after 2:00, and only when he pulled his thoughts out of the complex calculations did he notice it was already 6:00 PM. He shook his head, thinking to himself that it was no wonder his body was already protesting, sending waves of powerlessness.

The desk was already piled with a thick stack of manuscripts, filled with formulas.

Although it was only building the framework, he calculated it along the way when he encountered interesting places.

"Hoo~"

Xu Qingzhou let out a long breath, twisted his sore neck, and picked up his phone, which had two messages from the school beauty Song.

Song Yao: I went to eat noodles with Senior Sister Han.

Song Yao: "Image. jpg."

"Your hands are so cold."

Read! {

The night sky was clear, the moonlight was beautiful, and the bright moonlight spilled down, spreading over the earth like a thin layer of gauze. There were still a few days before school started, but there were already many people on campus; the "roll kings" came to school to roll as soon as the New Year was over. Several people walked out of the Economics Building, carrying schoolbags, their steps hurried; looking at their appearance, they should have just finished self-study.

Xu Qingzhou tapped his fingers lightly on the manuscript paper, thinking about where to start.

When they got closer, Han Shiqi nodded to Xu Qingzhou, counting as a greeting, and said with a smile, "Junior brother and sister, I have something to do, I'll go first."

10:00 PM, Xu Qingzhou had already arrived at the entrance of the Economics Building.

Xu Qingzhou emphasized it so much that Song Yao didn't believe it at all. She was holding back her strength, so what the hell was hurting? Clearly such a smart person, always making such stupid excuses.

Xu Qingzhou waited for a few minutes and finally saw two familiar figures appear at the stairwell.

This was the second time seeing this scene.

In order to introduce FIOS (Fourier integral operators), one can actually consider two typical examples.

Xu Qingzhou went to the cafeteria, slurped the noodles, replenished his energy, and returned to the library to continue struggling.

Song Yao: "Image. jpg."

Specifically, it involves the change in smoothness of the function after the action of the Fourier integral operator.

The framework had already been built.

"Your words have ambiguity, Teacher... Song..."

He planned to conduct research and improvements on this basis. In addition, one could also discuss its connection with other mathematical conjectures.

Looking at the CP she was shipping, the longing for sweet love surged in her heart again.

The temperature dropped sharply at night, and the layers of clothes on her body couldn't resist the chill.

Song Yao: "I don't dislike you."

"Don't you know how much strength you have?" Xu Qingzhou complained, rubbing his chest.

"."

Xu Qingzhou deliberately emphasized the last three words. What do you mean 5 minutes is already very long? Who soaked the sofa last night? In the distance, it was originally a crossroads, but Han Shiqi deliberately slowed her pace, so she could just see Xu Qingzhou and Song Yao.

【Assuming the function /0 and a satisfy appropriate regularity, denote. /+: =i(/0-i(v^a)-1/i), /_^^(/o+kv^a)-1/!)】

But... she quickly denied it herself: "No, impossible, Junior Sister Song is quiet, how could she hit people casually? This doesn't fit the image of the Iceberg Goddess."

!.

Just summarize the content of the previous few reports.

"Mm, 5 minutes is already very long." Song Yao said.

"Very painful."

On this side, Xu Qingzhou clutched his chest, staring at Song Yao resentfully. "I'll be beaten broken by you sooner or later."

"Really painful?" Xu Qingzhou's serious expression made Song Yao doubt herself a little.

From here, one can see that the two terms on the right side of 1.2 can be expressed in the same form.

"Hmph, don't think I don't know, it doesn't hurt at all." Xu Qingzhou didn't need to be mentioned; he was definitely a big shot, a mathematical genius. Junior Sister Song was only a sophomore, and she already had an SCI paper, and it was in the first zone; Professor Li even taught her everything he knew.

As Academician Chu Jiangfeng said, the local smoothness conjecture is one of the current research hotspots in the field of mathematics, and fields such as partial differential equations, harmonic analysis, geometric measure theory, and number theory all have strong intrinsic connections.

Xu Qingzhou was helpless, thinking to himself: "How do I feel like I've led the school beauty Song's style astray? Is this what a goddess should say?"

Shipping to death! Isn't this much better than the industrial sugar in those idol dramas I usually watch! Wait! Han Shiqi, who was shipping the CP happily, suddenly paused. Just now, was Junior Sister Song hitting Xu Xu Shidi Xu?

The local smoothness conjecture of Fourier integral operators, although it carries the word conjecture, is actually significantly different from the conjectures he studied before. In many places, it is directly called the research on the local smoothness of Fourier integral operators.

Usually, their chats are like this: simple, sending a photo of eating, and when both are busy, the topic will end abruptly.

Song Yao and Han Shiqi.

Ate noodles with the senior sister in the research group in the evening and even took photos.

Xu Qingzhou: "I dislike you."

"Goodbye, Senior Sister."

Xu Qingzhou sold misery: "I've been waiting for you for almost 5 minutes, it's a wonder I'm not cold. Tell me, how are you going to compensate me."

Library, Xu Qingzhou's gaze was fixed on the manuscript paper in front of him.

According to his previous habits, when researching something, one must first figure out what it is, which means first writing out the definition of Fourier integral operators.

Song Yao: "I ate two cloves of garlic, I'll stink you to death tonight."

It is not a complete conjecture proposition like the Cramer conjecture and the Twin Prime conjecture.

Time passed second by second.

Song Yao: "I'm going to wall-slam you hard."

Xu Qingzhou said, already holding her soft little hand.

Double strong CP!

10 minutes passed, and he started to write.

His goal was to explore the establishment of a variable-coefficient version of the square function inequality through the bilinear method, and then improve the Mockenhaupt-Seeger-Sogge local smoothness.

Song Yao curled her lips; she didn't use force, and there were such thick clothes in between.

Xu Qingzhou rubbed his hands and stomped his feet waiting for Song Yao.

【The prototype of FIOS originates from the following half-wave operator: eit\begin{cases}(\)=f_0(x)，\\partial_tu(x，0)=f_1(x). \end{cases}】

Xu Qingzhou typed: "I'm going to eat noodles too, stinky is stinky, who's afraid of whom."

Defining it is also not simple; it doesn't end with a sentence saying Fourier integral operators originate from what and are tools for what.

【f_+: =\frac{1}{2}(f_0-i(\sqrt\frac{1}{2}(f_0+i(\sqrt{-\delta})】

Visas and materials have all been settled. In the fax sent to him by the "Wolf Prize Foundation" in Israel, they specifically invited him to give a 40-minute report.

The Wolf Prize in Mathematics award ceremony is in Israel. On the morning of the 19th, Xu Qingzhou will fly to Jerusalem with Academician Chu Jiangfeng and the others, followed by a 5-day exchange meeting.

Are they hitting?

It is like the local smoothness conjecture of the half-wave operator in Euclidean space, which is a high-level form of many famous mathematical conjectures, directly implying the Bochner-Riesz conjecture, the restriction conjecture, and the Kakeya conjecture, etc.

A result on local smoothness proposed by three mathematicians, Mockenhaupt, Seeger, and Sogge, when studying Fourier integral operators.

Are they already raising their fists?

She glanced at her boyfriend: "Then what do you want?"

"Let me kiss you."

"No." Song Yao subconsciously refused. Although there were fewer people on the road than usual, there were still a couple. In public, it was indecent.

Xu Qingzhou shrugged; he knew he would be refused, but he just wanted to tease her.

(End of chapter)