"With regard to the four-dimensional Pangjialai conjecture, we began to discuss the following properties, for a four-dimensional single-connected closed manifold, there are the following properties, in Professor Donaldson's 1979 article in Mathematical Inventions......"

Junxin, who has done many academic reports and academic speeches, has long been able to control this kind of sacred and serious academic report lectures with ease, so as soon as half past nine o'clock, Junxin stood on time on the stage of the academic lecture hall of Harvard University, and did not do anything polite, after taking the microphone handed over by Professor Yau Chengtong, he began his report after a simple hello.

“… In his paper, Professor Smale proposed that the Pangjialai conjecture can be the first to gradually transition from the higher dimension to the final three-dimensional space, and gave the proof of the five-dimensional and above of the Pangjialai conjecture, from this point of view, the four-dimensional Pangjialai conjecture will be a very important proof transition. ”

“… Anyone here, if anyone has my paper, please open it to the first paper on some cutting-edge techniques and mathematical ideas and tools of the Pangjialai conjecture, in which I focused on ......"

“… The second paper is about the focus of this report, and on the basis of the conclusions given in the first paper, the manifold ...... when the Pangjialai conjecture is broadened to four dimensions."

"The third paper is a supplement to some proofs of the four-dimensional Pangjialai conjecture and a description of some of the results of calculations, in which the four-dimensional manifold is ...... in closed space"

“… Based on the above points, we focus on the thirty-second equation listed in the article, which discusses the principle of transformation of three- to four-dimensional manifolds, and we conclude ......"

Junxin's tone on the stage was flat, and he narrated the key issues involved in the three papers of the four-dimensional Pang Jialai conjecture. The professors and students sitting in the audience showed different faces in Junxin's explanation.

In the first three rows of the lecture hall are professors and lecturers in the Department of Mathematics, as well as some of the top mathematicians who are about to receive PhDs or do postdoctoral research, followed by graduate students in the Department of Mathematics and Applied Mathematical Engineering at Harvard University's Graduate School. They were followed by mathematics students at Harvard University. Then in the corners and in the corridor sat some students who were interested in mathematics or had a mathematical background, and the whole lecture hall was a little crowded.

Most of the professors sitting in the front row, most of the professors who study topology sometimes look like they suddenly realize, and sometimes they look like they can do this. The other professors listened to Junxin's report with a little effort, frowning from time to time.

The lecturers and doctoral students who followed behind, their expressions were also about the same, and they had such expressions at the beginning of the front, and as Junxin's explanation deepened, they went from slightly confused to confused and incomprehensible, and finally to a confused look at Junxin talking endlessly on the podium.

As for the graduate and undergraduate students who followed behind, most of them knew that they couldn't understand Junxin's research very early, so they simply didn't bother with this, but tried to find a trace of inspiration from his language that could help their research while listening to Junxin's explanation.

And those students who came specially to study mathematics, such as physics, chemistry and other subjects, listened to things that seemed like a book to them with a blank face.

Although in this lecture hall of nearly 800 people, only about a dozen people can fully understand the report made by Junxin, and most of the rest can only understand more or less part of it, but no one has left this lecture hall, because they can vaguely feel as if they are witnessing a piece of history and witnessing the birth of a legend.

Among these people, there is a very strange group, although they don't seem to understand the meaning of what Junxin said above, but they don't look sad or meditative like the people sitting next to them, but they seem to have bright eyes and look at Junxin on the stage with excitement. If it weren't for the fact that this is the world's most famous academic temple, they would have applauded and cheered. Even Junxin on the stage swept his eyes over these black-eyed, yellow-skinned Chinese people from time to time.

An hour and a half later, Junxin finally stopped his explanation and calmly announced the end of his report. Suddenly there was thunderous applause in the lecture hall, and Jun Xin's eyes once again swept over his compatriots who were desperately applauding, and his eyes were faintly touched by a hint of emotion, and he nodded lightly in that direction.

"Well, thank you for an hour and a half to listen to my report, which is absolutely boring and difficult for you, and now it's time to ask questions." When the applause gradually subsided, Junxin pressed his hands down virtually and said loudly.

An hour and a half is devoted to explaining the proof of the four-dimensional Pangjialai conjecture, although it is said that condensation is the essence, but condensation often also means difficult and obscure.

To give a simple example, it takes at least one semester for students at the undergraduate level to fully understand all the meanings contained in the differential equations in the various topological methods used in the thesis, and to explain one of the equations. And if Junxin can let these students understand the meaning of this differential equation in one semester, it will be enough for Junxin to win the teaching medal of any outstanding university. And there are hundreds of differential equations used by Junxin in his paper. Although there are more or less some connections between these equations.

So most of the professors were able to ask questions, although the students in the back also raised their hands high and wanted to ask questions. But obviously, in the professional science report, under the unspoken rule, it is still dominated by the professor's questions, which even Harvard, a world-class university, has not been spared.

"First, ask our Donaldson professor to ask questions." Without hesitation, Junxin chose Professor Donaldson, who was closely related to his thesis, as the first person to ask the question.

"Hello, Jun! As soon as Princeton said goodbye, I knew it wouldn't be long before you and I could see each other again. Sure enough, in less than two months after the last meeting, you have proved the four-dimensional Pang Jialai conjecture, first of all, I want to congratulate you. ”

"Thank you, your paper has inspired me a lot!"

"Hehe, my question is, before I raised ......"