Phase transition and topological phase
After Wang Hao explained the difficulties in the proof process, the review team determined in advance that his proof was perfect.
All reports have been completed.
When the applause broke out at the venue, many people had mixed emotions. Some people felt that they had witnessed history, some lamented Wang Hao's youth and achievements, and some still felt a little incredible that the NS equation problem was proved.
Tian Jun Mikio did not want to accept the results, but the proof was already there, and the explanation of the reporting process left him speechless.
That's what mathematics is.
What is right is right, and what is wrong is wrong.
After the fierce applause passed, the report was not completely finished, and part of the time was left for question and answer.
Although the review team confirmed his report, there were still people who did not understand the logic issues well, so they stood up to ask questions.
Wang Hao also answered questions patiently.
The questions asked at this time were basically the most difficult to understand in the proof process. He explained it patiently and explained the most difficult part several times in a row, so that others could understand it thoroughly.
Qiu Chengwen sat in his seat and listened to Wang Hao's explanation and said, "He is really talented in his lectures. Every time I listen to his report, I feel that it is very clear and easy to understand. This is amazing."
.”
"Indeed."
Martin Haier was next to Qiu Chengwen, and several judges were arranged to sit together. "The person who came with Wang Hao yesterday also understood. What he said was almost the same as what Wang Hao said, but the same thing, I
I listened for a long time and still didn’t understand.”
"Maybe this is due to a different understanding of the content? Or is it some other reason? Anyway, I feel like he has no lecturing talent."
"I feel the same way, maybe because he speaks a little unclearly?"
Someone in the back row suddenly followed.
Luo Dayong was sitting in the third row. He quickly lifted his collar up, not wanting others to recognize him.
Was he kind enough to tell others about it, but he got such a comment?
How embarrassing!
Wang Hao didn't take long to answer questions, only about half an hour.
He walked off the stage.
Many people in the front row came to greet them. Martin Haier was at the front, shaking hands with Wang Hao and saying, "I still can't believe it. The NS equation problem has been solved like this?"
"Congratulations, this is perhaps the biggest pearl in the field of partial differential equations!"
Others also came over to say congratulations.
Wang Hao smiled and said, "Isn't it still unconfirmed?"
"If such a successful report cannot confirm the results, we can doubt the capabilities of those institutions." Qiu Chengwen said, "On behalf of the Mathematics Center of Shuimu University, I recognize your proof."
"It will be soon, don't worry."
Bruce Pulitzer came over and said, "Believe me, within a week, even the Clay Mathematics Institute will recognize your proof."
He changed the topic and said, "In fact, yesterday, I considered discussing with you to add some content to the proof before publishing it, but now I don't think it is necessary. Your paper is very complete, but others have not gone into it deeply.
Having studied complex issues, it’s just not easy for me to understand them.”
Wang Hao asked curiously, "Did you understand the whole content?"
"this……"
Pulitzer smiled awkwardly. He really wanted to understand the whole content, but he got distracted while listening, and then he couldn't understand it at all. He turned to look at Terence Tao on one side, "This is Terry's opinion.
"
Tao Zhexuan also came over to shake hands with Wang Hao and said sincerely, "What surprises me most is not that you completed the NS equation, but that you were able to succeed in two different fields. This is very difficult."
"What are your next research plans? Will you continue to study partial differential equations or number theory?"
Everyone else has seen it too.
Wang Hao hesitated for a moment and said, "I'm very interested in algebraic geometry recently, and I might engage in research in this area."
Tao Zhexuan opened his mouth, and it took him a long time to say, "That's the third field. I'm looking forward to it."
Qiu Chengwen suddenly said, "You can come to Shuimu University. Kaucher is an expert in algebraic geometry. You can communicate together."
Wang Hao smiled and said, "I would rather rely on my own research in this field to make Mr. Birkar want to come to Xihai University to engage in follow-up research with me."
"Uh~~"
Everyone else laughed out loud.
Qiu Chengwen was stunned for a moment and then laughed, but he couldn't help but feel a sense of crisis in his heart.
He finally persuaded Birkar to work at Shuimu University, but he didn't want to be poached to Xihai University just because of the content of his research?
When other people say this kind of thing, they just listen and laugh.
Wang Hao, it’s really hard to say!
…
The end of the report is the exchange between scholars.
The report meeting is no longer just a report meeting, but also a good opportunity for scholars in the same field to communicate. Donggang University arranged a three-day exchange meeting, and other scholars were invited to give reports.
Wang Hao's lecture conference became a professional academic conference in the field of partial differential equations.
This is an academic event.
Participants in the follow-up report meeting include four Fields laureates and dozens of top scholars in the field of partial differential equations, which are more valuable than international conferences in the field of partial differential equations.
Wang Hao was still the center of attention, chatting with the scholars one by one. During dinner in the evening, he had time to meet Claudio Prochesi.
Prochesi is the head of the International Mathematical Society Award Committee. He first congratulated Wang Hao on his NS equation report, and then said, "I have a hunch that you will definitely succeed, and this is just the beginning. You will become the youngest
Fields winner."
When he said "youngest", he also set a record for the winning age of a Fields winner.
The previous youngest winner was the Chinese mathematician Jean-Pierre Serre, whose works "Condensed Algebraic Layers" and "Algebraic Geometry and Analytical Geometry" have become new "classic" documents of modern mathematics.
Due to his outstanding achievements in algebraic topology, Jean-Pierre Serre won the Fields Medal at the age of less than 28.
Wang Hao is even younger now. When Fields presented the award, he had just turned 26. His age can be said to be unprecedented.
Wang Hao politely thanked Procesi for his praise, and then asked, "Mr. Procesi, you are here to talk to me about the mathematics conference, right?"
"certainly."
Prochesi said, "I saw the email you sent. It's hard for me to agree with the reasons you said, but you must have your reasons for deciding not to attend. We just don't want to experience another Grigory Perret."
Mann."
His voice was very sincere.
Grigory Perelman is a figure who caused a headache for the International Mathematical Society. He completed the proof of the Poincaré conjecture and just posted the proof on the Internet.
Many international institutions recognized Perelman's proof, and he won the Fields Medal for it. However, Perelman refused to participate in the International Congress of Mathematicians and directly refused the Fields Medal.
Not only did he reject the Fields Medal, he also rejected invitations from many prestigious schools, a million-dollar bonus, etc.
In order to deliver the Fields Medal to Perelman, the International Mathematical Society even sent people to find his house, but Perelman turned him away. They threw the medal in from the window, and the medal quickly
He was thrown out, and later even the window was sealed.
Perelman's story is really interesting.
Many mathematicians have very weird personalities, especially those who are top mathematicians.
Before coming, Procesi thought that Wang Hao might be very weird. He had completed Goldbach's conjecture and NS equation problems one after another. He was definitely a super genius.
Can super geniuses be normal people?
No one can guarantee this.
Now Prochesi found that Wang Hao was normal, but he did not continue to persuade Wang Hao to participate in the International Congress of Mathematicians. Instead, after opening the topic, he talked about another way to participate, "You can participate in the conference through remote video
."
To be continued...