"At this point, the solution goes into the scope of work in the salt valley and the mountain pass, and then we can see"

"The question you are asking is inherently flawed, the theory you have just given is incomplete, and there is a clear logical flaw between the first and third points"

"The answer to this question is already available from Mr. Grigory Perelman from the Sjacklov Institute of Mathematics, who will come up tomorrow to give a presentation, so you just have to be patient!"

In response to the questions raised by these people, Lu Qiujian either answered them positively, or refuted them mercilessly, or gave the opportunity to answer them to the speakers who will appear tomorrow.

The Chancellor and Professor Zhang were worried at first that Lu Qiujian would not be able to come to the stage if he was asked by others, but last year Professor Martin Dunwoody of the University of Southampton advertised that he had proved the Poincaré conjecture and put his five-page proof online;

Although Lu Qiujian's paper has been published for several months, no one has found any serious problems, but what if there is a case? With such apprehension, they listened to the fierce questions and answers, but as the questions continued, they became more and more relaxed; from the current point of view, Lu Qiujian was able to cope with these questions.

"Thank you for your answer!" Professor Blanca from the French Institute for Advanced Study returned to his seat with satisfaction, Lu Qiujian hurried to take a sip of water, ready to meet the next question, but after waiting for three minutes, no one stood up, looking out the window, the sunset stained the clouds in the sky red; it turned out that more than four hours had passed unconsciously!

Tomorrow's agenda will be supplemented by other experts who have studied the Poincaré conjecture, and the keynote speakers are Mr. Grigory-Perelman from the Sjacklov Institute of Mathematics, Professor Cao from Lehigh University in the United States, and the above-mentioned personnel are asked to prepare in advance!" "Okay, the organizer has prepared fine food for you, you can go back to the hotel to rest after the meal, and the hotel also has a public communication space, if you still have a lot of energy, you are welcome to go where to communicate." ”

After dinner, everyone returned to the hotel, and people like Grothendieck, who were old and lacked energy, returned to their rooms early to rest, while young and energetic people like Perelman came to the public communication space prepared by Beijing Normal University with great interest, walked around the crowd with wine glasses, and exchanged their views on today's report with flying eyebrows.

Lu Qiujian was once again in the spotlight. Some of the mathematicians, who were quick to react and had already digested the questions he had answered at noon, began a new round of questioning.

"If you're all done asking, how will Grisha make a report tomorrow?" Lu Qiujian certainly didn't come this time to show off, answering a question about Poincaré's conjecture for an afternoon, and he was also a little bored, so he quickly changed the topic, "By the way, I recently discovered something interesting on quantum algorithms"

"Oh, what is it?" Everyone's attention was easily shifted to other areas by him, and Lu Qiujian began to talk eloquently. From quantum algorithms to Langlands program, from non-commutative geometry to Gromov geometry group theory

The second day of the conference began with Grigory Perelman, who began to talk about his extension of Luciujian's thesis, if the process of solving a mathematical problem could be compared to playing Go. The national player can see the next five steps from two steps, and Lu Qiujian has completed this part of the work, but among all the mathematicians, there are only a few who have the strength of the national player, and the missing five steps for them are loopholes. Perelman's job is to follow Lu Qiujian's train of thought and drop another chess piece, so that the direction of the development of the chess game is more clearly exposed to them, and even those who are slightly lacking in chess can see the future of the game with the help of his report.

Because it is an additional statement. There wasn't much time left for Perelman, and after half an hour he finished his presentation, and another half hour answered questions from the audience, and that was the end of his presentation.

The same was true of Professor Cao's presentation, which was followed by mathematicians from other universities who presented their findings on the subject, and with the help of these people, about a third of the people present finally had a clearer understanding of Lü's paper.

Of course, the remaining two-thirds of the mathematicians and almost all the students did not know what they were talking about in the past two days, and this was also something that could not be done, because from the second half of the 19th century onwards, the important fields of mathematics became very numerous, and the vast majority of mathematicians were only proficient in their own fields of study, such as Cauchy, Weierstrass, Cantor was good at calculus axiomatization, Gödel was good at mathematical logic and the basic theory of computers, Chern and Weyl were outstanding in differential geometry and mathematical physics, respectively, but they did not necessarily have a clear understanding of the frontier problems in other fields, even if they were like Grothendieck, they would obscure half of the mathematical world.

The same is true of other disciplines, whether it is physics, chemistry or biology, there are fewer and fewer people who are familiar with all fields; that's why Einstein is so admired, because in the field of theoretical physics, he is almost omnipotent! No one has been able to do this since him; perhaps Yang Zhenning can barely count half, he is an authority in the fields of high energy and condensed matter, and although he has not made great achievements in cosmology and relativity, he at least understands it, after all, he taught general relativity at Stony Brook for a while.

At the end of the morning presentation, although it did not have the sensational effect of Lu Qiujian yesterday, it still achieved good results; even if the old mathematicians, the mathematicians of the current year, and the future mathematicians in the audience did not understand the Poincaré conjecture, the way of thinking in these reports could still provide a lot of help to the theories they were good at.

This is also an important reason why they are willing to come to this briefing, otherwise they will not waste their precious time.

The second day was quickly over, and on the third day, everyone gathered again at the venue, and the last day of the presentation began! )

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