"Ten years ago, the famous Soviet mathematician, Vladimir Drifeld, did such an operation, which was a conjecture about the G12 group in the Langlands program." Junxin said unhurriedly, "To explain it simply in the traditional mathematical language, that is: the Langlands conjecture about G12 on the field of algebraic curve functions on a finite field. ”

Obviously, this is a special situation in Langlands' program. This can be seen in the first chapter of the second part of the thesis, which is the thirtieth page of the paper, which contains a description of Professor Drifeld's thesis, and you can get a glimpse of Professor Drifeld's work here. And my work is based on the work of Professor Derrefeld. ”

"My argument is that Professor Drefeld's work can be generalized to provide a complete picture of the corresponding Langlands program for functional domain cases. The specific proof process is found on pages 31 to 124 of the paper. Let's take a closer look at the part of the discussion on the proof process of the Langlands program. ”

"The beginning of the part mainly discusses the problems related to functivity, and the hypothesis and proof part begins on page 31, please turn here, and we will first explain my generalization idea......"

"The second is the problem of mutual inversion, which is dealt with as follows, assuming that the solution of the system of equations is a defined function on a closed subgroup, then ......"

Junxin stood on the podium alone and talked eloquently, one after another equations, one conclusion after another came out of Junxin's mouth, the atmosphere of the scene became more and more enthusiastic with the conclusions that Junxin said, if it were not for the fact that this was a graduation thesis defense ceremony with formal procedures, I am afraid that at this time, the scene was already a big mess in the world. But even so, Junxin ignored the whispered discussions of the people below, and still introduced the next part of the paper according to his established plan.

“…… The above part is the discussion part of my thesis, and the next part is the conclusion of the paper. However, I think this is already a very clear conclusion, and the Langlands conjecture on the functional domain is completely valid. ”

As soon as Junxin's words fell, there was deafening applause in the auditorium, and when Junxin's eyes were raised from his draft and looked down, he found that all the professors, teachers, students, and other special guests present stood up and applauded excitedly.

Junxin had to stand up again and again to thank everyone, because the applause was so warm that it lasted for more than three minutes.

"The following questions for the dissertation defense will be answered by the members of the defense committee." The moderator stood up at the right time to interrupt the applause, and then couldn't wait to announce the next session.

As the chairman of the dissertation defense committee, Professor Mirno stood up, and then said directly with the microphone: "After the unanimous consent of our dissertation defense committee, we will not ask any questions for Junxin's dissertation for the time being, and hand over the right to ask questions to the colleagues from major universities and research institutes who came to the scene, so in accordance with the legal procedures, we do not ask any questions in the dissertation defense questioning session, and the default is that Junxin's dissertation has passed the defense and is archived." ”

After Professor Milno's finished speaking, he handed the microphone to Professor Feverman on the side, only to see that Professor Feverman had finished the microphone as if it had been rehearsed in advance, glanced around, and said loudly: "After the unanimous approval of our dissertation defense committee, on behalf of the Department of Mathematics of Princeton University and the entire Academic Degree Committee of Princeton University, I officially announce that Junxin will be awarded a doctorate degree in the Department of Mathematics of Princeton University, congratulations, Dr. Junxin." ”

Junxin was stunned all of a sudden, although he knew that there could be no situation where his dissertation defense could not be passed, but this was almost a break with Princeton's traditional way of awarding degrees, and Junxin couldn't help but be stunned there!

It wasn't until a burst of applause rang out that the stunned Junxin suddenly woke up that he had been awarded a doctorate in mathematics at Princeton University.

Although he once had a doctorate from Princeton University and even a double degree such as a doctorate from the Department of Physics at Princeton University, when the degree was awarded, because he was Chinese, he suffered a lot in the question session of the thesis defense.

"Thank you, thank you to the Department of Mathematics at Princeton University, to the professors of the Academic Degrees Committee at Princeton University, and to all the teachers and students in the Department of Mathematics at Princeton University, thank you!" Jun Xin, who came back to his senses, thanked him repeatedly.

"Haha, this is the honor you deserve, and this is the honor we deserve at Princeton University. Even if we at Princeton University, there has never been a student in history who gave a Fields Medal-level achievement in his graduation thesis, which is the glory of Princeton University! Professor Mirno, who has always been joking, also said with great emotion.

"I have been coming to Princeton University for a year, and I would like to thank all the teachers and professors for helping me. I'm a little clever, but if I hadn't had the help of Professor Feverman's extensive materials, I would have been able to do this. If I hadn't asked the professors for a lot of advice, I wouldn't have made such an achievement, but it was the teachers at Princeton University who made me who I was, thank you! "The period of coming to Princeton University is indeed the fastest year for Junxin's thinking, and this period has a special meaning for him.

"Haha, Mr. Chancellor told us that the graduation ceremony will be held in twelve days, when he will personally present you with the diploma and degree certificate. The gates of Fitzlanddorf will open for you. ”

"Thank you!" Junxin had already controlled his emotions and nodded with a smile and said.

At this time, the host stood up at the right time and said: "This is the end of the thesis defense ceremony of Jun Xin, a doctoral graduate of the Department of Mathematics of Princeton University, and the following is a break of fifteen minutes, after fifteen minutes, we will start to hold a question session for Mr. Junxin's thesis, please prepare your own questions, after fifteen minutes, Dr. Jun will answer them one by one, thank you for your cooperation." ”

Again, in the warm applause of the audience, Junxin bowed, and then confidently walked off the stage.