Omnipotent Data

Chapter 404

October 9th, the fourth day of the conference.

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

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

From today to the remaining seven days until the end of the conference, speeches, discussions and exchange activities will be arranged.

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

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

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

After watching the Fields Medal Award Ceremony and more than 20 top academic reports in the world, Cheng Nuo's goal of sneaking into the International Conference of Mathematicians has been completed for the most part.

In the remaining seven days, Cheng Nuo planned to pick up a few lectures while digesting the content that he hadn't fully understood when he listened to the report.

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

Although the harvest is definitely not as good as the previous academic reports, as long as you can master a mathematical method or a way of thinking about problems, then it is not worth listening to.

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

"Four averages of generalized four Gauss sums"? Isn't it just a calculation problem with complex advantages?

"Readjustment and Commutativity of Toplitz Operators in Hardy Spaces"? This is something from the last century, right? Does anyone still talk about it? Don't go, don't go.

"General results on exact asymptotics of convergence of complete matrices for NA sequences"? This is good, since the speaker is Professor Armand, so I must go.

…………

After screening for a while, Cheng Nuo decided on fifteen lectures that he must attend. As for the rest, he just left it to chance.

Anyway, he is a completely free man,

Whichever auditorium you wander into is that auditorium.

correct! Cheng Nuo patted his forehead and suddenly remembered something.

He remembered that he seemed to have promised that Professor Russell that he was going to cheer him up.

What is the subject of his lecture?

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

"Found it." Cheng Nuo's eyes fell on a row of the form.

Topic: "The Connection between Algebraic Geometry and Topology"

Speaker: Russell Slink

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

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

Cheng Nuo looked at his lecture schedule, well, there is no time conflict.

That being the case, then go and listen, anyway, you have nothing to lose.

After finalizing the plan, Cheng Nuo changed into the waiter's clothes, carried a tray, and made it to the first stop of the day, pretending to deliver food.

…………

"Cool!"

During lunch time, Cheng Nuo, who was devouring a plate of steak in the room, couldn't help moaning.

Cheng Nuo gained a lot from the lecture in the morning, but the only regret was that even though he had a lot of doubts in his heart, he didn't dare to ask in front of the mathematician who gave the lecture.

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

The original brand new notebook, under Cheng Nuo's non-stop texting for several days, has been filled with two-thirds of it by a lot of formula symbols.

At two o'clock in the afternoon, Cheng Nuo came to the small auditorium where Professor Russell was giving lectures.

Cheng Nuo came on time. Logically speaking, most of the mathematicians who intended to attend the lecture had already arrived, but Cheng Nuo glanced over and saw that there were only a few people sitting in the small auditorium that could accommodate more than a hundred people. Only a dozen people.

In the last few rows, no one was seated at all.

"The popularity is a bit low. It's necessary for me to come to support you." Cheng Nuo muttered in a low voice, and sat in the empty seat in the last row without any scruples.

This time, after all, no one noticed him.

Professor Russell, who was standing on the podium, looked at the three or two big cats and kittens under the stage, and his expression was a little ugly.

Thinking about the lectures given by the big bosses of the Philippine Award, the auditorium with four to five hundred people can be full of seats, but it is not an exaggeration to come to his place.

But there is no way, the popularity and academic achievements of this group of top bigwigs are far from what he, a small mathematician, can compare.

Quickly adjusted his mood, Professor Russell forced a smile on his face, and gestured to the young people on the side.

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

Myron adjusted the projector and opened the PowerPoint for the lecture.

Then, I heard Professor Russell speak in an unenthusiastic tone, "First of all, I welcome you to listen to my lecture in your busy schedule. The topic of my lecture is "The Connection between Algebraic Geometry and Topology." "."

"Before I talk about this, I have to introduce a few concepts to you." Professor Russell clicked on a page of PPT, "The first one is the Riemann zata function!"

"What is this function, I don't think I need to go into too much detail. I will mainly introduce some of its properties here, and a few properties related to the topic I will talk about next."

"ζ(s) can be extended analytically to a meromorphic function on the entire complex plane, which has a single pole only at s=1. Consider the complete ζ(s) of ζ(s): =π^(-s/2 )Γ(s/2)ζ(s), and 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 a zero point of ζ(s), these zero points are called ordinary zero points of ζ(s), in addition, the non-trivial zero points of ζ(s) are all on the straight line Di(s)=1/2 .”

…………

Simply put, Russell calculated the number of rational points X(Fq^n) by studying the Zeta functions Zx(T) and ζx(s) of the algebraic variety X defined on the finite field Fq, and then studied The properties satisfied by Zx(T) in both cases of curves and Abelian varieties.

This is nothing new, but Professor Russell raised this question with a relatively novel point of view.

On the stage, Professor Russell was talking dryly, but in the audience, Cheng Nuo, who came to cheer him on, fell asleep with his head tilted in the middle of the lecture.

It's not Cheng Nuo's fault, it's because Professor Russell's speech is too boring.

On the stage, Professor Russell had finished speaking about the content of the PPT, and looked forward to the twenty or so people in the audience, looking forward to asking, "If you have any questions, you can raise your hands to ask questions, and I will definitely know everything."

There was silence.

Russell was extremely embarrassed, and said awkwardly, "Is everyone really okay?"

Just one, at least one!

Professor Russell roared in his heart.

In the last row, Cheng Nuo woke up in a daze, stretched his body, and yawned, "It's comfortable!"

Cheng Nuo kept his limbs stretched out.

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

Professor Russell's eyes lit up.

Raising both hands shows that the desire to ask questions is very strong!

Russell said with a smile, "The gentleman in the last row, can you stand up and ask your question?"

Cheng Nuo, who had just woken up, was in a daze.

What... what's going on?