Chapter 401 (2/2)
When he didn't come to take a nap, Cheng Nuo took advantage of most of the contents and wrote down the knowledge gained in the morning in a notebook specially prepared for the meeting of mathematicians.
The original brand-new notebook, under the constant destruction of Cheng Nuo for several days, has been filled with two-thirds of a large number of formula symbols.
At two o'clock in the afternoon, Cheng Nuo comes to the small auditorium where Professor Russell talks.
Cheng Nuo came at a certain point in time. Normally speaking, most mathematicians who would like to attend the lecture have already arrived. However, at a glance, there are only 20 or so people sitting in the small auditorium which can accommodate more than 100 people.
In the last few rows, no one was seated at all.
”The popularity is a little low. It's necessary for me to come to the stage.” Cheng Nuo murmured in a low voice and sat on the empty seat in the last row without any scruples.
This time, no one noticed.
Professor Russell, standing on the stage, looked at the big cats and two kittens. His face was also a little ugly.
If you think about the lectures given by the big Fei prize winners, the auditorium of four or five hundred people will be full of seats, but you can't miss him.
But there is no way, the popularity and academic achievements of this group of top men are far beyond the comparison of his little mathematicians.
Quickly adjusted his mood, Professor Russell squeezed out a smile on his face and motioned to the youth on the side.The young man, oh, is the Russell student Myron that Cheng Nuo met on the plane.
Myron adjusted the projector and turned on the PPT for the lecture.
Then, Professor Russell began to speak with no passion. ”First of all, welcome to my lecture in your busy schedule. The theme of my speech is the connection between algebraic geometry and topology.”
”Before I talk about this, I have to introduce you to a few concepts.” Professor Russell opened a page of PPT, ”first, Riemann Zata function!”
”I don't have to go into too much detail about what this function is. I'm going to focus on a few properties of this function, some of which are related to my next topic.”
”ζ (s) is analytically extended to a meromorphic function in the whole complex plane, which has only a single pole at S = 1. Consider the complete ζ (s) of ζ (s): = π ^ (- S2) Γ (S2) ζ (s), where Γ is a gamma function, then ζ (s) satisfies the functional equation ζ (s) = ζ (1-s). ”
”At the same time, every negative even number is the zero point of ζ (s), which is called the trivial zeros of ζ (s). In addition, the nontrivial zeros of ζ (s) are all on the line di (s) = 12.”
…………
In short, Russell calculates the number of rational points | x (FQ ^ n) | by studying the zeta functions ZX (T) and ζ x (s) of algebraic variety x defined on the finite field FQ, and then studies the properties of ZX (T) in the case of curves and Abelian clusters.
It's nothing new, but Professor Russell uses a relatively new point of view to raise the issue.
On the stage, Professor Russell spoke dryly, while under the stage, Cheng Nuo, who came to support the audience, fell asleep with his head tilted in the middle of the lecture.
No blame for Cheng Nuo. It's really what Professor Russell said that was too boring.
On the stage, Professor Russell has finished the content of the PPT, full of expectation, looking at the 20 odd people under the stage, expecting to ask, ”if you have any questions, you can raise your hands and ask questions. I will certainly know everything.”
There was silence.
Russell was very embarrassed and said, ”are you all right?”
Just one, at least one!
Professor Russell roared in his heart.
In the last row, Cheng Nuo wakes up in a daze, stretches his body and yawns, ”comfortable!”
Cheng Nuo remained in a stretched posture.
So in the eyes of Professor Russell on the stage, there were hands raised in the back row, and two hands were also raised.
Professor Russell's eyes brightened.
Raise two hands, the desire that wants to ask a question is very strong!
Russell said with a smile, ”can the gentleman in the last row stand up and say your question?”
Cheng Nuo, who just woke up, was in a daze.
What What's the situation?