Chapter 338: Long-term planning
The next day.
After breakfast, everyone stayed at home and played games for the whole morning. It was not until noon that Guo Ziyang and Ding Jiahui prepared to take the subway after eating the leftovers from last night.
At the subway entrance, Ding Jiahui reluctantly held Song Yao's hand and said, "Yaoyao, I'll come play with you guys next time."
When we were chatting in high school, we said that we were all in Kyoto and could meet often, but now we only make an appointment once every one or two months.
"Let's go shopping together next time." Song Yao nodded, with reluctance in her eyes.
"Well, we're going to spend the day shopping!"
Xu Qingzhou and Guo Ziyang stood aside and listened to the two girls arranging the next activities. They suddenly felt a headache and could not really appreciate the joy of shopping.
After saying goodbye, Guo Ziyang and Ding Jiahui walked into the subway entrance.
"Tian Yansi asked me to get something for him."
Ding Jiahui said unhappily, "Let him get it himself. He stays in the dormitory and asks him to get things every day. Besides, we don't go to the back street."
A grown boy who does nothing but stay in the dormitory playing games every day. She is worried that Guo Ziyang will be led astray.
"How should I refuse?" Guo Ziyang handed the phone to Ding Jiahui.
"Now I don't know how to refuse."
Ding Jiahui snorted, took the phone, and muttered while typing: "Weren't you quite talkative yesterday?"
"That's my point."
"."
Guo Ziyang was punched by Ding Jiahui.
In the distance, Xu Qingzhou looked at Guo Ziyang who was being beaten and said to Song Yao, "Look, classmate Ding Jiahui has been led astray by you."
"If you want to be beaten too, just tell me directly." Song Yao said.
Xu Qingzhou coughed lightly, and the backs of the two friends disappeared at the subway entrance. He took Song Yao's hand and put it in his pocket, and asked: "Do you want to go back first or walk around for a while and bask in the sun?"
"Let's take a walk." Song Yao exhaled puffs of white hot air.
On weekends, pedestrians walked slowly on the road, without the hustle and bustle of the past. The coldest January has passed, and the temperature has risen significantly in late February, but the cool breeze blowing on the face is still a bit cold.
However, the sun is shining brightly today, dispelling some of the chill. The branches on both sides are still bare, and the sunlight shines through, with the shadows of the trees swaying on the old wall.
Song Yao has long hair draped on both sides, delicate facial features, a red scarf around her neck, and a brown coat. With her slightly cold face, she is enough to instantly kill those beauties on the Internet who have turned on beauty filters and have a first love feeling.
Noticing that she looked a little tired, Xu Qingzhou asked with a smile: "Didn't you get enough rest last night?"
"Yeah." Song Yao nodded. She didn't know if it was because she was used to sleeping with this thing in her arms every day, but she woke up several times last night.
"You can't sleep without me holding you."
"certainly not."
Song Yao would never admit that it was because of Xu Qingzhou, otherwise, with this guy's despicable personality, he would definitely show off again.
"why?"
"Are you one hundred thousand whys?"
"Is it not okay to be curious?"
"No!" Song Yao directly hugged Xu Qingzhou's arm. She liked the feeling of following Xu Qingzhou without having to worry about where to go.
Xu Qingzhou thought that this must be the case. When they slept, this girl liked to lean on him.
The two of them walked past the agency, and Xu Qingzhou said with a smile: "After we graduate and secure a job, we can buy our own house."
"Four bedrooms and one living room." Song Yao stretched out a hand and felt the warmth of the sun.
Xu Qingzhou groaned: "Are there too many rooms?"
"Not much, just our bedroom, a study, and two guest bedrooms. My parents can stay here when they come. We'll have more."
Song Yao was talking about his grand plan when he suddenly got stuck.
"What are you waiting for?" Xu Qingzhou also stopped and looked at her, vaguely guessing what School Beauty Song wanted to say.
Song Yao looked away, looking at the shadows of the trees in the distance, and continued what she had just said: "You can stay here when other guests come."
"I don't think that's what you meant."
"That's it." Song Yao was very sure. She spoke quickly and almost blurted out the scene she had imagined for their future life. They hadn't even gotten married yet, and having children was too far away.
Xu Qingzhou smiled and shook his head, thinking that this arrogant guy thought a lot.
Song Yao put her hands back in her pockets, "I always feel that our plan will not develop as expected."
Xu Qingzhou nodded in agreement. When he was reborn, he only thought about having a good time like in those second-year novels. He never thought that one day he would live with a girl.
I guess Song Yao is the same.
This girl used to say very proudly: "I don't want to fall in love before I graduate from college."
Look at him now, he's so clingy.
After wandering around the street for 20 minutes, the two went home.
Song Yao laughed it off, pulled Xu Qingzhou into the bedroom, and asked Xu Qingzhou to sleep with her.
Looking at the beautiful school girl Song who was already lying on the bed, Xu Qingzhou couldn't help but say, "Well, although we are still young, we should exercise restraint."
"Come up quickly!" Song Yao raised her eyebrows and urged.
"Oh, okay." Xu Qingzhou climbed onto the bed obediently. As soon as he got into the quilt, Song Yao turned over and hugged him.
Sniffing the familiar scent, Song Yao thought happily: "Compared to Jiahui, it's more comfortable to be hugged by Xu Qingzhou."
Xu Qingzhou was ready to be ravaged by the school beauty Song, but then he found that she had closed her eyes and was about to fall asleep.
He hooked the calf of School Beauty Song with his foot.
Before going to sleep, School Beauty Song likes to hint herself like this.
Song Yao remained indifferent.
Xu Qingzhou scraped the white and tender calves a few more times.
Song Yao still closed her eyes and just threatened: "If you dare to move again, I will beat you up."
"."
Wow, it seems like this girl treats me like a big hot pack.
Xu Qingzhou smiled, hugged the girl, then closed his eyes and prepared to take a nap.
February passed and in early March, Kyoto once again experienced a heavy snowfall.
Outside the window, large flakes of snow were drifting down with the wind, and a layer of white ice formed in front of the floor-to-ceiling window.
Xu Qingzhou was sitting at the table, concentrating on calculations.
There was already a pile of discarded manuscripts on the left.
In these four days, he has verified a way to obtain some regularity in the average completion time, and is currently trying to find a way to improve the estimate of local smoothness.
Nowadays, there are two mainstream research methods for estimating the local smoothness of half-wave operators.
First, it is to establish the square function estimation corresponding to the plate decomposition and combine it with the Kakeya maximum function estimation method.
The second is a Wolff-type separating inequality.
However, after a day of calculations, Xu Qingzhou discovered that when p was close to the endpoint 2n\n-1, the second separability inequality method was no longer so effective.
Therefore, he plans to use the first method, and has been trying to establish a stronger square function inequality in the past few days.
After thinking for 20 minutes, Xu Qingzhou found a new way and started writing quickly.
Here, we can roughly assume that Z and F are smooth compact Riemann manifolds satisfying dimZ = 3 and dimy = 2 respectively.
Xu Qingzhou was writing furiously. On the sofa next to him, Song Yao was lying on the bed with a blanket covering her, resting. Er Miao was still lying on the radiator.
At 1: in the afternoon, seeing that the time was almost up, Xu Qingzhou stood up and poured a cup of hot water for Song Yao.
On the sofa, School Beauty Song had already woken up and was staring at the ceiling in a daze.
"Would you like some hot water?"
Song Yao shook her head.
Xu Qingzhou drank some water, dragged a chair and sat down in front of her, and pulled out her soft hand from under the quilt, "Are you feeling better?" Song Yao nodded slightly and said, "Yes, much better."
I was usually fine, but this month I suddenly had pain during my period.
Song Yao was completely without makeup today. She wore a halter dress that revealed her small and delicate collarbone. She had just finished a nap, so her hair was a little frizzy, and the frizziness was even stronger than before when she had her period.
Xu Qingzhou felt a little distressed. It seemed that she was really in pain. This girl usually looked as energetic as if she had taken a magic pill.
He reached out and pinched her delicate face. Although this might get her beaten, it would divert her attention.
Song Yao stared at the ceiling, motionless.
She could already tell that this guy liked her weak look.
"If I resist a little more with this weak expression of mine, he might even feel more excited."
Uh ~
Xu Qingzhou was greatly surprised. Normally, School Belle Song would have glared at him.
He poked Song Yao in the face again.
Song Yao still didn't move.
He looked strange and said, "You don't even want to fight back?"
"Then you will feel more excited?" Song Yao said lazily.
Xu Qingzhou was silent for a long time, holding his little hands, and said seriously and solemnly: "I think you may really have a misunderstanding of me. I am not a pervert."
Song Yao didn't answer, just snorted.
Xu Qingzhou shook his head helplessly.
Song Yao ignored the shocked Xu Qingzhou, turned her head to look out the window, and murmured, "The snow is still falling."
"This might be the last snow before spring. You're a bumpkin from the south who has rarely seen snow. Shouldn't you commemorate it?"
"You're the bumpkin."
"I didn't know who it was at the beginning, but when it snowed, he excitedly pulled me out." Xu Qingzhou said slowly.
“It’s called romance.”
"Romance? So you've been planning something bad to me for a long time?"
"No." Song Yao replied with two words.
"Of course there is someone, someone who has the toughest mouth of all."
"It's obvious that you were the one who had bad intentions towards me, saying something like cement sealed your heart, and you often came to provoke me. When you moved out, you set me up and pretended to be drunk and confessed your love to me."
Song Yao began to list Xu Qingzhou's crimes.
"stop."
Xu Qingzhou interrupted and denied it, and School Beauty Song had to go through all the old accounts again.
“I was wrong,” he admitted.
"It's good that you know you're wrong." Song Yao was very satisfied with Xu Qingzhou's attitude.
Xu Qingzhou felt that he couldn't let School Beauty Song put all the blame on him: "If you don't cooperate secretly, I can't realize these little plans, right, Teacher Song~"
He deliberately emphasized the last three words, and then saw School Beauty Song pull his hand over: "You"
Just as he was wondering, the girl bit his arm.
"Hiss~ Song Yao, you are such a dog!"
Although Xu Qingzhou bared his teeth, he didn't actually feel any pain, because School Beauty Song didn't bite him hard. His arm just felt a little tingling, and the tingling sensation was even a little comfortable.
Song Yao let go and glared, "Don't call me Teacher Song."
"Only the governor can set fires, but the people are not allowed to light lamps." Xu Qingzhou sighed, looking at the two neat rows of teeth marks on his forearm, thought for a moment, and said, "I'm going to bite it back."
"What are you trying to do?" Hearing this, Song Yao subconsciously covered her chest.
The last time I was bitten by this creature, it took several days to disappear.
Looking at Song Yao's actions, Xu Qingzhou fell silent. He found that in the eyes of School Beauty Song, he seemed to be a complete pervert.
"What should I do? Hehehe, what do you think?"
Xu Qingzhou's eyes darkened and he looked like he was about to take action.
"Xu Qingzhou!"
Song Yao was a little anxious.
This is broad daylight.
Sometimes it's just so strange. I feel it's okay in bed because I'm doing other things, but once I take it out alone, I find it very perverted.
Xu Qingzhou didn't tease her and said, "Let me rub your belly for you."
He placed his hand on School Beauty Song’s belly and rubbed it gently.
"I'm going to go to Academician Chu's place later, you can be on your own."
"Teacher Xu, I just have my period, I'm not disabled." Song Yao muttered.
Xu Qingzhou rubbed Song Yao's stomach for a while, then stood up, tidied up a little, poured Song Yao a cup of hot water, and went out with his computer and manuscript paper.
Outside the window, snow was still falling. Song Yao sat cross-legged on the sofa, holding a cup and drinking some hot water.
After chatting with Xu Qingzhou and asking him to rub my stomach, I felt much better.
"However, although this guy is deliberately being mean in order to divert my attention, but... humph, remember it first, and I will deal with it after I get better."
School of Mathematics.
"Ahh~"
As soon as he entered the office, Xu Qingzhou sneezed and couldn't help but sigh: "Could it be that someone missed me? I just met School Beauty Song, it should be Ms. Wang and the others."
"Xiao Xu, the temperature has dropped drastically, be careful not to catch a cold." Chu Jiangfeng motioned Xu Qingzhou to sit down.
"Hey, it's okay. I'm wearing warm clothes. Where's Senior Brother Yang?"
Chu Jiangfeng said: "He went to Shanghai to hold a seminar and will be back tomorrow."
Xu Qingzhou smiled and nodded, sat down, and took out the manuscript that contained the problems he had encountered during this period.
The two of them simply did the calculations on the blackboard next to them.
“Have you tried using the localization and translation method?”
"I have tried, and through calculation, I have found a standard form of the phase function that satisfies conditions (H) and (H) for which there exists a suitable local coordinate system."
Xu Qingzhou asked questions in Chu Jiangfeng's office until 4 pm when the two finished.
After the discussion, Chu Jiangfeng said regretfully: "Xiao Xu, the problem of local smoothness is not my research area, so I can't give you much advice. You still need to explore it on your own."
"You have helped me a lot."
Xu Qingzhou said sincerely.
For example, this afternoon, the two discussed the different forms of evolution of the half-wave operator in the sense of local coordinates, and he benefited a lot.
Chu Jiangfeng smiled and said, "However, this thing is closely related to other conjectures in the field of harmonic analysis, such as the Bochner-Riesz summation and its derived maximal Bochner-Riesz conjecture. You can look for relevant information."
"I'll look for it when I get back." Xu Qingzhou nodded.
"You don't have to feel too stressed. It's not easy to produce results when you first get started in this field. Just like what I told you at the beginning, I don't require you to publish a certain number of papers."
Chu Jiangfeng paused and continued, "Of course, just the paper on Polignac's conjecture is enough for a doctorate, not to mention a master's degree."
"By the way, have you considered the school you want to study in?"
"I prefer MIT," said Xu Qingzhou.
Chu Jiangfeng thought for a moment and nodded slightly, "This school has a strong academic atmosphere in mathematics. It's a good fit. What about the doctoral supervisor?"
"I haven't thought about this yet."
Chu Jiangfeng smiled and said, "There's no rush. It's still early. I think many mathematics masters would like to have an outstanding student like you."
At 4: in the afternoon, Xu Qingzhou came out of the Mathematics College, went to the vegetable market to buy a chicken, and brought it back to make soup for School Beauty Song.
(End of this chapter)
