Chapter 404: Cheering

Chapter 404

October 9, the fourth day of the conference.

The reporting of more than 100 academic reports has been completed.

During this period, Cheng Nuo gave a total of 25 academic lectures, covering seven fields: number theory, function theory, geometry, differentiation, applied mathematics, algebra, and topology.

The remaining seven days from today to the end of the conference will be filled with presentations, discussions, and networking activities.

Most of the speakers who participated in these activities were mathematicians of the third grade, and their importance was relatively small, so Cheng Nuo did not have to go back and forth to different venues non-stop.

More than 500 lectures, which sounds like a lot, but most of the speakers are at the same level as the Professor Russell that Cheng Nuo met on the plane.

Of course, there will also be bigwigs in the first grade of the Philippine Awards who are idle and hold a small lecture.

After watching the Fields Medal ceremony and more than 20 world-class academic reports, Cheng Nuo's purpose of entering the International Congress of Mathematicians has been accomplished.

In the remaining seven days, Cheng Nuo plans to digest the content that he did not understand thoroughly when he listened to the report before, and at the same time pick up a few lectures to listen.

No matter how small a mosquito is, it is still meat.

Although the harvest is certainly not as good as the previous academic report, as long as you can master a mathematical method or a way of thinking about problems, it is not in vain.

In the room, Cheng Nuo looked at the lecture schedule printed on three or four pages of A4 paper in his hand, and took a pen to sketch on it.

Isn't "The Quadratic Mean of the Generalized Quadratic Gauss Sum" a complex calculation problem, which can be reviewed and approved by the Mathematical Union, and I don't understand it, I don't understand it!

"The Commutability of Retuning and the Hardy Space Toplitz Operator"? This is already a thing of the last century, and some people still turn it out and say, "No, no.

"General Results of the Precise Asymptotic Convergence of the Complete Matrix of NA Sequences"? This is good, but it is Professor Armand who is still speaking, so it is even more necessary to go.

............

After screening for a while, Cheng Nuo determined fifteen lectures that he must attend, and as for the rest, it was completely casual.

Anyway, he is a completely free man, and whichever auditorium he wanders into, it counts.

Cheng Nuo slapped his forehead and suddenly remembered something.

He remembered, as if he had promised Professor Russell to go and cheer him on.

What was the theme of his lecture?

Cheng Nuo took the lecture schedule and searched for Russell's name in the speaker column.

"Found it. Cheng Nuo's gaze fell on the row of the table.

Topic: The Relationship between Algebraic Geometry and Topology

Speaker: Russell Slingko

Lecture time: 14:00~16:00, October 9

Such an ordinary topic is naturally not in the fifteen lectures that Cheng Nuo must listen to.

Cheng Nuo looked at his lecture schedule, well, the time is not conflicting.

In that case, then go and listen to it, and don't lose anything anyway.

After finalizing the plan, Cheng Nuo changed into the clothes of a waiter, carried a tray, and pretended to deliver food to the first stop of the day.

............

"Cool!"

At lunchtime, Cheng Nuo, who was gobbling up a plate of steak in the room, couldn't help but moan.

A lecture in the morning made Cheng Nuo gain a lot, but the only regret was that even if he had a lot of doubts in his heart, he didn't dare to come to the mathematician who gave the lecture and ask.

Before he had time to take a nap, Cheng Nuo took advantage of the fact that most of the content still had his memory, and wrote down the knowledge he had gained in the morning in a notebook specially prepared for this mathematician conference.

The original brand new notebook, under the constant destruction of Cheng Nuo for a few days, has been filled with two-thirds of it by a large number of formula symbols.

At two o'clock in the afternoon, Cheng Nuo came to the small auditorium where Professor Russell gave a lecture.

Cheng Nuo came at the right time, and it stands to reason that most of the mathematicians who were interested in coming to the lecture had already arrived, but Cheng Nuo glanced over, and there were only about 20 people sitting in the small auditorium that could accommodate more than 100 people.

In the back rows, no one sat at all.

"The popularity is a bit low, but it's still necessary for me to come over and cheer. Cheng Nuo muttered in a low voice, and sat on the empty seat in the last row without any scruples.

This time, no one noticed.

Professor Russell, who was standing on the podium, looked at the big cats and kittens in the audience, and his face was a little ugly.

Thinking about the lectures of those Philippine award bigwigs, the auditorium of four or five hundred people can be full, but when it comes to him, it is not too much.

But there is no way, the popularity and academic achievements of this group of top bigwigs are far from being comparable to his little mathematician.

Quickly adjusting his mood, Professor Russell squeezed a smile on his face and gestured to the young man on the side.

The young man, oh, was Myron, Russell's student that Cheng Nuo met on the plane.

Myron adjusted the projector and opened the PPT used in the lecture.

Then, Professor Russell was heard speaking in an impassioned tone, "First of all, welcome to my lecture on the topic of 'The Connection between Algebraic Geometry and Topology.'" ”

"Before I get into that, I have to give you a few concepts. Professor Russell clicked on a page of PPT, "The first one, the Riemann zata function!"

"I don't think I need to go into too much detail about what this function is, but I'm going to introduce a few of its properties here, and a few properties that are related to the topic I'm going to talk about next. ”

"ζ(s) is analytically extended to a metapure function across the entire complex plane, which has only a single pole at s=1. Considering the complete ζ(s) of ζ(s): =π^(-s/2)Γ(s/2)ζ(s), Γ is a Gamma function, then ζ(s) satisfies the function equation ζ(s)=ζ(1-s). ”

At the same time, each negative even number is the zero point of the ζ(s), which is called the trivial zero of the ζ(s), and the non-trivial zero of the ζ(s) is all on the straight line Di(s)=1/2. ”

............

To put it simply, Russell calculates the number of rational points by studying the zeta functions Zx(T) and ζx(s) of the algebraic cluster X defined on the finite field FqX(Fq^n)|, and then the properties satisfied by Zx(T) in both the curve and the abelian cluster are investigated.

This is nothing new, but Professor Russell has a relatively novel point of view to raise the issue.

On the stage, Professor Russell spoke dryly, and offstage, Cheng Nuo, who came to cheer, tilted his head and fell asleep in the middle of the lecture.

Don't blame Cheng Nuo, it's really Professor Russell's speech that is too boring.

On the stage, Professor Russell had finished speaking about the content of the PPT, looked at the 20 or so people in the audience with anticipation, and asked expectantly, "If you have any questions, you can raise your hand to ask questions, I must know everything." ”

There was silence.

Russell was extremely embarrassed and said, "Are you really okay?"

One is fine, at least one!

Professor Russell roared inwardly.

In the last row, Cheng Nuo woke up in a daze, stretched his body, and yawned big, "Comfortable!"

Cheng Nuo maintained a posture with his limbs extended.

So in the eyes of Professor Russell on the stage, someone in the back row raised his hand, and raised two hands.

Professor Russell's eyes lit up.

Raise two hands, it means that the desire to ask questions is very strong!

Russell smiled and said, "The gentleman in the last row, can you stand up and say your question?"

Cheng Nuo, who had just woken up, was stunned.

What...... What's going on?

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