Chapter 383: End of Defense Peking University. In the lecture hall, the boy on the podium was talking eloquently. Below, five old men looked serious, nodding from time to time with expressions of approval and amazement. "Here, there is a very important step, which is to use the bilinear oscillatory integral estimate to improve the square function estimate, which requires two very important steps." Xu Qingzhou spoke slowly and answered questions from several professors. By the window, Song Yao sat leisurely with her chin resting on her hand, looking at the boy in front of her. There was a strange light in her eyes, and she seemed a little dazed. This guy is always acting silly at ordinary times, but when he suddenly becomes serious, he becomes very charming. “The first step is to use the Whitney decomposition lemma and parabolic scaling techniques.” "The professors may have also realized that one of the key factors in proving Theorem is the variable coefficient Kakeya maximal function estimate." "." Xu Qingzhou explained in detail how to transform bilinear terms that fall on the same scale into the standard case that appears in the lemma.
The entire paper is more than ninety pages long and contains many groundbreaking theories. For example, the brand new bilinear oscillation integral estimation with the characteristics of "Xu Qingzhou" and the unique square function inequality. If nothing unexpected happens, there will be more lemmas starting with "Xu" in the future. The entrance of the lecture hall. The three boys had complicated expressions, especially the one in the middle. Kong Xianbo feels a little numb now. It’s one thing to know that there’s a huge gap, but it’s another to be crushed in person. I had been mentally prepared, but now that I clearly realized the gap between me and Xu Qingzhou, I felt terrible. Think about it, I once regarded this guy as my most threatening competitor. sloppy. This guy is not a human being. At the same time, Wutong Community. Wang Xiaping looked at the defense video sent by Song Yao in the group and frowned: "Double line. Divide, what kind of weird things are these, like chanting a spell." "If you can understand, go sit under the podium." Xu Shouyun took a sip of tea. Wang Xiaping did not refute. She was not good at mathematics when she was in school. What still surprises her is that these strange things can be worth one or two million. If it's some invention that's valuable, it's understandable, just like that show on TV, where one invention is worth millions or tens of millions. "Yeah, he's dressed neatly. Xiaoyao must have dressed him up. Look at him before. He was dressed in black and had a crew cut. He looked like he just got married. It's like a dream. This guy is about to graduate with a master's degree." "I heard from Xiaoyao that the following people are either academicians or great professors." The more the old couple looked at it, the more dazed they felt.
Academicians, in the past we could only occasionally hear about them on TV, talking about what great contributions a certain academician had made to the country. After expressing their feelings, the two felt relieved again. This guy is not only successful in his career, but he even has a girlfriend. Xu Shouyun thought of something important, and said to Wang Xiaping, "By the way, there will usually be bachelor's degree uniforms, right? Ask them to take more photos and send them over." "It's been a while since I posted on WeChat Moments." Wang Xiaping nodded slightly. After discovering that their son's genes were becoming more and more split, they both kept a low profile and news about Xu Qingzhou rarely appeared in their circle of friends. But graduation is a big event and it needs to be commemorated. Peking University, School of Mathematics. "In the fifth part, Taylor expansion is implemented near point z. Can the content of η-ψ^λ(z,η):(z\λ,η) be simplified by variable substitution?" Gu Zhizhong said in a deep voice. Xu Qingzhou stared at the part pointed out by Gu Zhizhong, thought for a moment, nodded and said: "Well, this can indeed be simplified. Using Professor Gu's method, the calculation can be accelerated. Thank you for your guidance, professor." Gu Zhizhong shook his head: "I just calculated it based on your formula. It's not even icing on the cake." Next, several other professors also pointed out three places that could be modified, but they were all simplified equations. Time passes slowly. "The above is about the problem of discrete bilinear square function estimation." After answering Professor Feng's question, Xu Qingzhou waited quietly. Chu Jiangfeng turned his head to look at his old friends and asked, "Does anyone have anything else to ask?" Gu Zhizhong shook his head, and Xu Shihui and the other three also shook their heads. Frankly speaking, this paper is pretty well written. As for simplifying the steps, it is completely normal. Proofs such as Fermat's Last Theorem and Twin Prime Theorem can be slightly simplified. "In that case, I will announce it." Chu Jiangfeng handed over his graduation certificate and degree with a slight smile on his face: "Xu Qingzhou, congratulations on completing your master's degree at Peking University." "Thank you, Professor Chu, for your help over the past year." Xu Qingzhou said sincerely. “It’s all the result of your own hard work.” Chu Jiangfeng shook his head and said. After teaching for decades, this was the first time he met such a worry-free student. Not only was he worry-free, but he also learned a lot of new knowledge during the conversation. "Congratulations, Xu Qingzhou." Xu Qingzhou thanked everyone one by one. Professor Feng said: "In fact, you have even won the Wolf Prize in Mathematics. It is completely unnecessary for us old guys to sit here." "You're welcome. In the field of mathematics, I still have a long way to go and I need to learn a lot from you seniors." Xu Qingzhou answered modestly.
"What are your plans next?" Xu Shihui was curious about the young man's next move. "I haven't thought about it yet." Xu Qingzhou just felt that he should come up with some more challenging questions. “Have you ever considered the Riemann hypothesis?” Xu Shihui asked with a smile. Just now, he couldn't help but think of the scene when Xu Qingzhou and Professor Maynard were doing calculations on the podium when they were in Cambridge. Xu Qingzhou said: "Maybe I will try it in the future." "Old Xu, don't lead Qingzhou astray." Gu Zhizhong reminded him dissatisfiedly. The Riemann hypothesis is one of the seven major mathematical problems in the world in the millennium. How many people have come one after another and wasted their entire lives on it. "Hahaha, seeing Xu Qingzhou makes me feel that the future of Xiaguo's mathematics community is full of hope." After chatting for a while, everyone took a group photo together, exchanged a few words, and then left to do their own things. Soon there were only a group of young people left in the classroom. Xu Qingzhou squeezed the schoolgirl Song's hand and asked in a cocky tone, "Isn't he handsome?" "Not bad." Song Yao curled her lips. Although this guy was indeed very charming when he was serious, she couldn't praise him, otherwise his tail would be up to the sky. "Duplicity." Someone's eyes were just full of stars of admiration. Xu Qingzhou didn't argue with School Beauty Song about this issue. He clenched his hands and greeted the three roommates who came up from the back of the classroom. Xu Zhengyang gave a thumbs up and said with a smile: "Old Xu, awesome!" "Congratulations." Kong Xianbo and Zhai Ziqiang also congratulated with a smile. Although they were hit hard, as roommates, we all felt sincerely happy for Xu Qingzhou. "Routine operations." The three of them snorted. "We haven't even graduated from college yet, and you're already going to get a doctorate." Xu Zhengyang showed an envious expression, Xu Qingzhou patted his shoulder and comforted him: "It's okay, maybe we can graduate together next year." "Lao Xu, when it comes to showing off, you have to be the best." "Come on, let's take a photo first." They took a group photo together in front of the School of Mathematics, and then asked Xu Qingzhou to treat them to a big meal. After the dinner was arranged, Xu Zhengyang and the others left. Xu Qingzhou changed into his master's uniform and took photos with the school beauty Song. (End of this chapter)
